%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV423-1.010 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:33:51 AM UTC 2025
% Result : Unsatisfiable 11.07s 11.31s
% Output : Proof 13.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV423-1.010 : TPTP v9.0.0. Released v3.5.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:53:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 11.07/11.31 % SZS status Unsatisfiable
% 11.07/11.31 % SZS output start Proof
% 11.07/11.31 tff(m_state_v_RRM_type, type, (
% 11.07/11.31 m_state_v_RRM: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(c_idle_type, type, (
% 11.07/11.31 c_idle: $i)).
% 11.07/11.31 tff(s7_type, type, (
% 11.07/11.31 s7: $i)).
% 11.07/11.31 tff(c_s_type, type, (
% 11.07/11.31 c_s: $i)).
% 11.07/11.31 tff(node158_type, type, (
% 11.07/11.31 node158: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(s6_type, type, (
% 11.07/11.31 s6: $i)).
% 11.07/11.31 tff(node150_type, type, (
% 11.07/11.31 node150: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_counterclock_type, type, (
% 11.07/11.31 c_counterclock: $i)).
% 11.07/11.31 tff(m_state_v_angle_type, type, (
% 11.07/11.31 m_state_v_angle: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(c_arm2topress_type, type, (
% 11.07/11.31 c_arm2topress: $i)).
% 11.07/11.31 tff(s8_type, type, (
% 11.07/11.31 s8: $i)).
% 11.07/11.31 tff(c_arm1totable_type, type, (
% 11.07/11.31 c_arm1totable: $i)).
% 11.07/11.31 tff(node41_type, type, (
% 11.07/11.31 node41: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(s9_type, type, (
% 11.07/11.31 s9: $i)).
% 11.07/11.31 tff(node40_type, type, (
% 11.07/11.31 node40: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_arm1topress_type, type, (
% 11.07/11.31 c_arm1topress: $i)).
% 11.07/11.31 tff(node37_type, type, (
% 11.07/11.31 node37: ( $i * $i ) > $o)).
% 11.07/11.31 tff(s5_type, type, (
% 11.07/11.31 s5: $i)).
% 11.07/11.31 tff(node42_type, type, (
% 11.07/11.31 node42: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(trans_type, type, (
% 11.07/11.31 trans: ( $i * $i ) > $o)).
% 11.07/11.31 tff(succ_type, type, (
% 11.07/11.31 succ: ( $i * $i ) > $o)).
% 11.07/11.31 tff(m_Sensor_v_s_type, type, (
% 11.07/11.31 m_Sensor_v_s: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_SEN_type, type, (
% 11.07/11.31 c_SEN: $i)).
% 11.07/11.31 tff(c_clockwise_type, type, (
% 11.07/11.31 c_clockwise: $i)).
% 11.07/11.31 tff(s4_type, type, (
% 11.07/11.31 s4: $i)).
% 11.07/11.31 tff(node155_type, type, (
% 11.07/11.31 node155: ( $i * $i ) > $o)).
% 11.07/11.31 tff(m_state_v_A2Mag_type, type, (
% 11.07/11.31 m_state_v_A2Mag: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(c_on_type, type, (
% 11.07/11.31 c_on: $i)).
% 11.07/11.31 tff(node148_type, type, (
% 11.07/11.31 node148: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(s3_type, type, (
% 11.07/11.31 s3: $i)).
% 11.07/11.31 tff(node146_type, type, (
% 11.07/11.31 node146: ( $i * $i ) > $o)).
% 11.07/11.31 tff(m_state_v_A2M_type, type, (
% 11.07/11.31 m_state_v_A2M: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(c_extend_type, type, (
% 11.07/11.31 c_extend: $i)).
% 11.07/11.31 tff(s2_type, type, (
% 11.07/11.31 s2: $i)).
% 11.07/11.31 tff(s1_type, type, (
% 11.07/11.31 s1: $i)).
% 11.07/11.31 tff(node140_type, type, (
% 11.07/11.31 node140: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(s0_type, type, (
% 11.07/11.31 s0: $i)).
% 11.07/11.31 tff(node141_type, type, (
% 11.07/11.31 node141: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(m_Robot_v_s_type, type, (
% 11.07/11.31 m_Robot_v_s: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_RB_type, type, (
% 11.07/11.31 c_RB: $i)).
% 11.07/11.31 tff(node132_type, type, (
% 11.07/11.31 node132: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node134_type, type, (
% 11.07/11.31 node134: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node136_type, type, (
% 11.07/11.31 node136: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node138_type, type, (
% 11.07/11.31 node138: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node133_type, type, (
% 11.07/11.31 node133: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_arm2todepbelt_type, type, (
% 11.07/11.31 c_arm2todepbelt: $i)).
% 11.07/11.31 tff(node135_type, type, (
% 11.07/11.31 node135: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node137_type, type, (
% 11.07/11.31 node137: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node139_type, type, (
% 11.07/11.31 node139: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node38_type, type, (
% 11.07/11.31 node38: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node39_type, type, (
% 11.07/11.31 node39: ( $i * $i ) > $o)).
% 11.07/11.31 tff(node149_type, type, (
% 11.07/11.31 node149: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(node147_type, type, (
% 11.07/11.31 node147: ( $i * $i ) > $o)).
% 11.07/11.31 tff(c_off_type, type, (
% 11.07/11.31 c_off: $i)).
% 11.07/11.31 tff(c_retract_type, type, (
% 11.07/11.31 c_retract: $i)).
% 11.07/11.31 tff(m_state_v_a2ext_type, type, (
% 11.07/11.31 m_state_v_a2ext: ( $i * $i * $i ) > $o)).
% 11.07/11.31 tff(c_ob_type, type, (
% 11.07/11.31 c_ob: $i)).
% 11.07/11.32 tff(c_retracted_type, type, (
% 11.07/11.32 c_retracted: $i)).
% 11.07/11.32 tff(node35_type, type, (
% 11.07/11.32 node35: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node36_type, type, (
% 11.07/11.32 node36: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node33_type, type, (
% 11.07/11.32 node33: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node34_type, type, (
% 11.07/11.32 node34: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_a2ip_type, type, (
% 11.07/11.32 c_a2ip: $i)).
% 11.07/11.32 tff(m_state_v_A1Mag_type, type, (
% 11.07/11.32 m_state_v_A1Mag: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node144_type, type, (
% 11.07/11.32 node144: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node145_type, type, (
% 11.07/11.32 node145: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node143_type, type, (
% 11.07/11.32 node143: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_a1ext_type, type, (
% 11.07/11.32 m_state_v_a1ext: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_a1ip_type, type, (
% 11.07/11.32 c_a1ip: $i)).
% 11.07/11.32 tff(node31_type, type, (
% 11.07/11.32 node31: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node32_type, type, (
% 11.07/11.32 node32: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_A1M_type, type, (
% 11.07/11.32 m_state_v_A1M: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node30_type, type, (
% 11.07/11.32 node30: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node29_type, type, (
% 11.07/11.32 node29: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node142_type, type, (
% 11.07/11.32 node142: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_ot_type, type, (
% 11.07/11.32 c_ot: $i)).
% 11.07/11.32 tff(node153_type, type, (
% 11.07/11.32 node153: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node130_type, type, (
% 11.07/11.32 node130: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node122_type, type, (
% 11.07/11.32 node122: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node159_type, type, (
% 11.07/11.32 node159: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node157_type, type, (
% 11.07/11.32 node157: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node151_type, type, (
% 11.07/11.32 node151: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node154_type, type, (
% 11.07/11.32 node154: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node152_type, type, (
% 11.07/11.32 node152: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node156_type, type, (
% 11.07/11.32 node156: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node131_type, type, (
% 11.07/11.32 node131: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node128_type, type, (
% 11.07/11.32 node128: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node124_type, type, (
% 11.07/11.32 node124: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node126_type, type, (
% 11.07/11.32 node126: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node125_type, type, (
% 11.07/11.32 node125: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node127_type, type, (
% 11.07/11.32 node127: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_maxRot_type, type, (
% 11.07/11.32 m_state_v_maxRot: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node129_type, type, (
% 11.07/11.32 node129: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node123_type, type, (
% 11.07/11.32 node123: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_midPosP_type, type, (
% 11.07/11.32 m_state_v_midPosP: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node55_type, type, (
% 11.07/11.32 node55: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node56_type, type, (
% 11.07/11.32 node56: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node53_type, type, (
% 11.07/11.32 node53: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_PM_type, type, (
% 11.07/11.32 m_state_v_PM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_up_type, type, (
% 11.07/11.32 c_up: $i)).
% 11.07/11.32 tff(node54_type, type, (
% 11.07/11.32 node54: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_press_status_type, type, (
% 11.07/11.32 m_state_v_press_status: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_pressatmid_type, type, (
% 11.07/11.32 c_pressatmid: $i)).
% 11.07/11.32 tff(c_pressatbot_type, type, (
% 11.07/11.32 c_pressatbot: $i)).
% 11.07/11.32 tff(m_state_v_topPos_type, type, (
% 11.07/11.32 m_state_v_topPos: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node21_type, type, (
% 11.07/11.32 node21: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node22_type, type, (
% 11.07/11.32 node22: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_TEM_type, type, (
% 11.07/11.32 m_state_v_TEM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_down_type, type, (
% 11.07/11.32 c_down: $i)).
% 11.07/11.32 tff(m_state_v_tl_type, type, (
% 11.07/11.32 m_state_v_tl: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node3_type, type, (
% 11.07/11.32 node3: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node4_type, type, (
% 11.07/11.32 node4: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_Communication_v_s_type, type, (
% 11.07/11.32 m_Communication_v_s: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_COM_type, type, (
% 11.07/11.32 c_COM: $i)).
% 11.07/11.32 tff(node1_type, type, (
% 11.07/11.32 node1: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node2_type, type, (
% 11.07/11.32 node2: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_deliv_type, type, (
% 11.07/11.32 m_state_v_deliv: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node179_type, type, (
% 11.07/11.32 node179: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node180_type, type, (
% 11.07/11.32 node180: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_FeedBelt_v_s_type, type, (
% 11.07/11.32 m_FeedBelt_v_s: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_FB_type, type, (
% 11.07/11.32 c_FB: $i)).
% 11.07/11.32 tff(node177_type, type, (
% 11.07/11.32 node177: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node176_type, type, (
% 11.07/11.32 node176: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_FBM_type, type, (
% 11.07/11.32 m_state_v_FBM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node178_type, type, (
% 11.07/11.32 node178: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_pfl_type, type, (
% 11.07/11.32 m_state_v_pfl: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node28_type, type, (
% 11.07/11.32 node28: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_TRM_type, type, (
% 11.07/11.32 m_state_v_TRM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_minRot_type, type, (
% 11.07/11.32 m_state_v_minRot: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_botPos_type, type, (
% 11.07/11.32 m_state_v_botPos: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node169_type, type, (
% 11.07/11.32 node169: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_ERTable_v_s_type, type, (
% 11.07/11.32 m_ERTable_v_s: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_ERT_type, type, (
% 11.07/11.32 c_ERT: $i)).
% 11.07/11.32 tff(node175_type, type, (
% 11.07/11.32 node175: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_pl_type, type, (
% 11.07/11.32 m_state_v_pl: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node162_type, type, (
% 11.07/11.32 node162: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node161_type, type, (
% 11.07/11.32 node161: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node160_type, type, (
% 11.07/11.32 node160: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node163_type, type, (
% 11.07/11.32 node163: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node120_type, type, (
% 11.07/11.32 node120: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node119_type, type, (
% 11.07/11.32 node119: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node121_type, type, (
% 11.07/11.32 node121: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_Press_v_s_type, type, (
% 11.07/11.32 m_Press_v_s: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_PR_type, type, (
% 11.07/11.32 c_PR: $i)).
% 11.07/11.32 tff(node114_type, type, (
% 11.07/11.32 node114: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node116_type, type, (
% 11.07/11.32 node116: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node115_type, type, (
% 11.07/11.32 node115: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node117_type, type, (
% 11.07/11.32 node117: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_topPosP_type, type, (
% 11.07/11.32 m_state_v_topPosP: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node118_type, type, (
% 11.07/11.32 node118: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node51_type, type, (
% 11.07/11.32 node51: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node52_type, type, (
% 11.07/11.32 node52: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node50_type, type, (
% 11.07/11.32 node50: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node49_type, type, (
% 11.07/11.32 node49: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_botPosP_type, type, (
% 11.07/11.32 m_state_v_botPosP: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node59_type, type, (
% 11.07/11.32 node59: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node60_type, type, (
% 11.07/11.32 node60: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node57_type, type, (
% 11.07/11.32 node57: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node58_type, type, (
% 11.07/11.32 node58: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node65_type, type, (
% 11.07/11.32 node65: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node68_type, type, (
% 11.07/11.32 node68: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node64_type, type, (
% 11.07/11.32 node64: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node66_type, type, (
% 11.07/11.32 node66: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node67_type, type, (
% 11.07/11.32 node67: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_angle_status_type, type, (
% 11.07/11.32 m_state_v_angle_status: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_arm1stoppedattable_type, type, (
% 11.07/11.32 c_arm1stoppedattable: $i)).
% 11.07/11.32 tff(node48_type, type, (
% 11.07/11.32 node48: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_arm2stoppedatpress_type, type, (
% 11.07/11.32 c_arm2stoppedatpress: $i)).
% 11.07/11.32 tff(node47_type, type, (
% 11.07/11.32 node47: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node46_type, type, (
% 11.07/11.32 node46: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node44_type, type, (
% 11.07/11.32 node44: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node45_type, type, (
% 11.07/11.32 node45: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node43_type, type, (
% 11.07/11.32 node43: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_arm1stoppedatpress_type, type, (
% 11.07/11.32 c_arm1stoppedatpress: $i)).
% 11.07/11.32 tff(c_arm2stoppedatbelt_type, type, (
% 11.07/11.32 c_arm2stoppedatbelt: $i)).
% 11.07/11.32 tff(node165_type, type, (
% 11.07/11.32 node165: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_counterclockwise_type, type, (
% 11.07/11.32 c_counterclockwise: $i)).
% 11.07/11.32 tff(node168_type, type, (
% 11.07/11.32 node168: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node166_type, type, (
% 11.07/11.32 node166: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node174_type, type, (
% 11.07/11.32 node174: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node172_type, type, (
% 11.07/11.32 node172: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node171_type, type, (
% 11.07/11.32 node171: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node19_type, type, (
% 11.07/11.32 node19: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node17_type, type, (
% 11.07/11.32 node17: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node184_type, type, (
% 11.07/11.32 node184: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node183_type, type, (
% 11.07/11.32 node183: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node27_type, type, (
% 11.07/11.32 node27: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node167_type, type, (
% 11.07/11.32 node167: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node164_type, type, (
% 11.07/11.32 node164: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node26_type, type, (
% 11.07/11.32 node26: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node182_type, type, (
% 11.07/11.32 node182: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node185_type, type, (
% 11.07/11.32 node185: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node18_type, type, (
% 11.07/11.32 node18: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node20_type, type, (
% 11.07/11.32 node20: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node173_type, type, (
% 11.07/11.32 node173: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node23_type, type, (
% 11.07/11.32 node23: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node170_type, type, (
% 11.07/11.32 node170: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node24_type, type, (
% 11.07/11.32 node24: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node25_type, type, (
% 11.07/11.32 node25: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node105_type, type, (
% 11.07/11.32 node105: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node101_type, type, (
% 11.07/11.32 node101: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_CHM_type, type, (
% 11.07/11.32 m_state_v_CHM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_tofeedbelt_type, type, (
% 11.07/11.32 c_tofeedbelt: $i)).
% 11.07/11.32 tff(node104_type, type, (
% 11.07/11.32 node104: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node100_type, type, (
% 11.07/11.32 node100: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_CVM_type, type, (
% 11.07/11.32 m_state_v_CVM: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node98_type, type, (
% 11.07/11.32 node98: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node94_type, type, (
% 11.07/11.32 node94: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_ff_type, type, (
% 11.07/11.32 m_state_v_ff: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node15_type, type, (
% 11.07/11.32 node15: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node13_type, type, (
% 11.07/11.32 node13: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node14_type, type, (
% 11.07/11.32 node14: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_gvp_type, type, (
% 11.07/11.32 m_state_v_gvp: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_ovf_type, type, (
% 11.07/11.32 c_ovf: $i)).
% 11.07/11.32 tff(node99_type, type, (
% 11.07/11.32 node99: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_Crane_v_s_type, type, (
% 11.07/11.32 m_Crane_v_s: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_CR_type, type, (
% 11.07/11.32 c_CR: $i)).
% 11.07/11.32 tff(node92_type, type, (
% 11.07/11.32 node92: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_ovb_type, type, (
% 11.07/11.32 c_ovb: $i)).
% 11.07/11.32 tff(node81_type, type, (
% 11.07/11.32 node81: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node82_type, type, (
% 11.07/11.32 node82: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node78_type, type, (
% 11.07/11.32 node78: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_gripper_status_type, type, (
% 11.07/11.32 m_state_v_gripper_status: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(c_gripperstoppedat_sd_type, type, (
% 11.07/11.32 c_gripperstoppedat_sd: $i)).
% 11.07/11.32 tff(node86_type, type, (
% 11.07/11.32 node86: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node87_type, type, (
% 11.07/11.32 node87: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node83_type, type, (
% 11.07/11.32 node83: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_CMag_type, type, (
% 11.07/11.32 m_state_v_CMag: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node84_type, type, (
% 11.07/11.32 node84: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node85_type, type, (
% 11.07/11.32 node85: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_gripperstoppedat_ovb_type, type, (
% 11.07/11.32 c_gripperstoppedat_ovb: $i)).
% 11.07/11.32 tff(node77_type, type, (
% 11.07/11.32 node77: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_sd_type, type, (
% 11.07/11.32 c_sd: $i)).
% 11.07/11.32 tff(node79_type, type, (
% 11.07/11.32 node79: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node80_type, type, (
% 11.07/11.32 node80: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node96_type, type, (
% 11.07/11.32 node96: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_todepbelt_type, type, (
% 11.07/11.32 c_todepbelt: $i)).
% 11.07/11.32 tff(node103_type, type, (
% 11.07/11.32 node103: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_gof_type, type, (
% 11.07/11.32 m_state_v_gof: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node102_type, type, (
% 11.07/11.32 node102: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node93_type, type, (
% 11.07/11.32 node93: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node95_type, type, (
% 11.07/11.32 node95: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node97_type, type, (
% 11.07/11.32 node97: ( $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_gob_type, type, (
% 11.07/11.32 m_state_v_gob: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node74_type, type, (
% 11.07/11.32 node74: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node16_type, type, (
% 11.07/11.32 node16: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node90_type, type, (
% 11.07/11.32 node90: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node91_type, type, (
% 11.07/11.32 node91: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node88_type, type, (
% 11.07/11.32 node88: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node89_type, type, (
% 11.07/11.32 node89: ( $i * $i ) > $o)).
% 11.07/11.32 tff(c_gripperstoppedat_ovf_type, type, (
% 11.07/11.32 c_gripperstoppedat_ovf: $i)).
% 11.07/11.32 tff(node75_type, type, (
% 11.07/11.32 node75: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node76_type, type, (
% 11.07/11.32 node76: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(node73_type, type, (
% 11.07/11.32 node73: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(m_state_v_pbe_type, type, (
% 11.07/11.32 m_state_v_pbe: ( $i * $i ) > $o)).
% 11.07/11.32 tff(node12_type, type, (
% 11.07/11.32 node12: ( $i * $i * $i ) > $o)).
% 11.07/11.32 tff(loop_type, type, (
% 11.07/11.32 loop: $o)).
% 11.07/11.32 tff(until271_type, type, (
% 11.07/11.32 until271: $i > $o)).
% 11.07/11.32 tff(node275_type, type, (
% 11.07/11.32 node275: $i > $o)).
% 11.07/11.32 tff(until276_type, type, (
% 11.07/11.32 until276: $i > $o)).
% 11.07/11.32 tff(node280_type, type, (
% 11.07/11.32 node280: $i > $o)).
% 11.07/11.32 tff(until281_type, type, (
% 11.07/11.32 until281: $i > $o)).
% 11.07/11.32 tff(node285_type, type, (
% 11.07/11.32 node285: $i > $o)).
% 11.07/11.32 tff(xuntil287_type, type, (
% 11.07/11.32 xuntil287: $i > $o)).
% 11.07/11.32 tff(until286_type, type, (
% 11.07/11.32 until286: $i > $o)).
% 11.07/11.32 tff(node270_type, type, (
% 11.07/11.32 node270: $i > $o)).
% 11.07/11.32 tff(until266_type, type, (
% 11.07/11.32 until266: $i > $o)).
% 11.07/11.32 tff(node265_type, type, (
% 11.07/11.32 node265: $i > $o)).
% 11.07/11.32 tff(until261_type, type, (
% 11.07/11.32 until261: $i > $o)).
% 11.07/11.32 tff(node260_type, type, (
% 11.07/11.32 node260: $i > $o)).
% 11.07/11.32 tff(until256_type, type, (
% 11.07/11.32 until256: $i > $o)).
% 11.07/11.32 tff(node255_type, type, (
% 11.07/11.32 node255: $i > $o)).
% 11.07/11.32 tff(until251_type, type, (
% 11.07/11.32 until251: $i > $o)).
% 11.07/11.32 tff(xuntil252_type, type, (
% 11.07/11.32 xuntil252: $i > $o)).
% 11.07/11.32 tff(node250_type, type, (
% 11.07/11.32 node250: $i > $o)).
% 11.07/11.32 tff(until246_type, type, (
% 11.07/11.32 until246: $i > $o)).
% 11.07/11.32 tff(xuntil247_type, type, (
% 11.07/11.32 xuntil247: $i > $o)).
% 11.07/11.32 tff(node245_type, type, (
% 11.07/11.32 node245: $i > $o)).
% 11.07/11.32 tff(until241_type, type, (
% 11.07/11.32 until241: $i > $o)).
% 11.07/11.32 tff(xuntil242_type, type, (
% 11.07/11.32 xuntil242: $i > $o)).
% 11.07/11.32 tff(node240_type, type, (
% 11.07/11.32 node240: $i > $o)).
% 11.07/11.32 tff(until236_type, type, (
% 11.07/11.32 until236: $i > $o)).
% 11.07/11.32 tff(xuntil237_type, type, (
% 11.07/11.32 xuntil237: $i > $o)).
% 11.07/11.32 tff(node235_type, type, (
% 11.07/11.32 node235: $i > $o)).
% 11.07/11.32 tff(until231_type, type, (
% 11.07/11.32 until231: $i > $o)).
% 11.07/11.32 tff(xuntil232_type, type, (
% 11.07/11.32 xuntil232: $i > $o)).
% 11.07/11.32 tff(node230_type, type, (
% 11.07/11.32 node230: $i > $o)).
% 11.07/11.32 tff(until226_type, type, (
% 11.07/11.32 until226: $i > $o)).
% 11.07/11.32 tff(xuntil227_type, type, (
% 11.07/11.32 xuntil227: $i > $o)).
% 11.07/11.32 tff(node225_type, type, (
% 11.07/11.32 node225: $i > $o)).
% 11.07/11.32 tff(until221_type, type, (
% 11.07/11.32 until221: $i > $o)).
% 11.07/11.32 tff(xuntil222_type, type, (
% 11.07/11.32 xuntil222: $i > $o)).
% 11.07/11.32 tff(node220_type, type, (
% 11.07/11.32 node220: $i > $o)).
% 11.07/11.32 tff(node213_type, type, (
% 11.07/11.32 node213: $i > $o)).
% 11.07/11.32 tff(always212_type, type, (
% 11.07/11.32 always212: $i > $o)).
% 11.07/11.32 tff(last_type, type, (
% 11.07/11.32 last: $i > $o)).
% 11.07/11.32 tff(until216_type, type, (
% 11.07/11.32 until216: $i > $o)).
% 11.07/11.32 tff(node215_type, type, (
% 11.07/11.32 node215: $i > $o)).
% 11.07/11.32 tff(always214_type, type, (
% 11.07/11.32 always214: $i > $o)).
% 11.07/11.32 tff(xuntil217_type, type, (
% 11.07/11.32 xuntil217: $i > $o)).
% 11.07/11.32 tff(node211_type, type, (
% 11.07/11.32 node211: $i > $o)).
% 11.07/11.32 tff(always210_type, type, (
% 11.07/11.32 always210: $i > $o)).
% 11.07/11.32 tff(node209_type, type, (
% 11.07/11.32 node209: $i > $o)).
% 11.07/11.32 tff(always208_type, type, (
% 11.07/11.32 always208: $i > $o)).
% 11.07/11.32 tff(node207_type, type, (
% 11.07/11.32 node207: $i > $o)).
% 11.07/11.32 tff(always206_type, type, (
% 11.07/11.32 always206: $i > $o)).
% 11.07/11.32 tff(node205_type, type, (
% 11.07/11.32 node205: $i > $o)).
% 11.07/11.32 tff(always204_type, type, (
% 11.07/11.32 always204: $i > $o)).
% 11.07/11.32 tff(node203_type, type, (
% 11.07/11.32 node203: $i > $o)).
% 11.07/11.32 tff(always202_type, type, (
% 11.07/11.32 always202: $i > $o)).
% 11.07/11.32 tff(node201_type, type, (
% 11.07/11.32 node201: $i > $o)).
% 11.07/11.32 tff(always200_type, type, (
% 11.07/11.32 always200: $i > $o)).
% 11.07/11.32 tff(node199_type, type, (
% 11.07/11.32 node199: $i > $o)).
% 11.07/11.32 tff(always198_type, type, (
% 11.07/11.32 always198: $i > $o)).
% 11.07/11.32 tff(xuntil257_type, type, (
% 11.07/11.32 xuntil257: $i > $o)).
% 11.07/11.32 tff(node197_type, type, (
% 11.07/11.32 node197: $i > $o)).
% 11.07/11.32 tff(always196_type, type, (
% 11.07/11.32 always196: $i > $o)).
% 11.07/11.32 tff(xuntil262_type, type, (
% 11.07/11.32 xuntil262: $i > $o)).
% 11.07/11.32 tff(node195_type, type, (
% 11.07/11.32 node195: $i > $o)).
% 11.07/11.32 tff(always194_type, type, (
% 11.07/11.32 always194: $i > $o)).
% 11.07/11.32 tff(xuntil267_type, type, (
% 11.07/11.32 xuntil267: $i > $o)).
% 11.07/11.32 tff(node193_type, type, (
% 11.07/11.32 node193: $i > $o)).
% 11.07/11.32 tff(always192_type, type, (
% 11.07/11.32 always192: $i > $o)).
% 11.07/11.32 tff(xuntil272_type, type, (
% 11.07/11.32 xuntil272: $i > $o)).
% 11.07/11.32 tff(node191_type, type, (
% 11.07/11.32 node191: $i > $o)).
% 11.07/11.32 tff(always190_type, type, (
% 11.07/11.32 always190: $i > $o)).
% 11.07/11.32 tff(xuntil277_type, type, (
% 11.07/11.32 xuntil277: $i > $o)).
% 11.07/11.32 tff(node189_type, type, (
% 11.07/11.32 node189: $i > $o)).
% 11.07/11.32 tff(always188_type, type, (
% 11.07/11.32 always188: $i > $o)).
% 11.07/11.32 tff(xuntil282_type, type, (
% 11.07/11.32 xuntil282: $i > $o)).
% 11.07/11.32 tff(node187_type, type, (
% 11.07/11.32 node187: $i > $o)).
% 11.07/11.32 tff(always186_type, type, (
% 11.07/11.32 always186: $i > $o)).
% 11.07/11.32 tff(1,assumption,(~m_state_v_angle(c_s, s8, c_arm1totable)), introduced(assumption)).
% 11.07/11.32 tff(2,plain,
% 11.07/11.32 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 11.07/11.32 inference(bind,[status(th)],[])).
% 11.07/11.32 tff(3,plain,
% 11.07/11.32 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.07/11.32 inference(quant_intro,[status(thm)],[2])).
% 11.07/11.32 tff(4,plain,
% 11.07/11.32 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(5,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 11.07/11.32 tff(6,plain,
% 11.07/11.32 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[5, 4])).
% 11.07/11.32 tff(7,plain,(
% 11.07/11.32 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.07/11.32 inference(skolemize,[status(sab)],[6])).
% 11.07/11.32 tff(8,plain,
% 11.07/11.32 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[7, 3])).
% 11.07/11.32 tff(9,plain,
% 11.07/11.32 (succ(s5, s6) <=> succ(s5, s6)),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(10,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 11.07/11.32 tff(11,plain,
% 11.07/11.32 (succ(s5, s6)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[10, 9])).
% 11.07/11.32 tff(12,plain,
% 11.07/11.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(13,plain,
% 11.07/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 11.07/11.32 inference(quant_inst,[status(thm)],[])).
% 11.07/11.32 tff(14,plain,
% 11.07/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[13, 12])).
% 11.07/11.32 tff(15,plain,
% 11.07/11.32 (trans(s5, s6)),
% 11.07/11.32 inference(unit_resolution,[status(thm)],[14, 11, 8])).
% 11.07/11.32 tff(16,plain,
% 11.07/11.32 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)))),
% 11.07/11.32 inference(bind,[status(th)],[])).
% 11.07/11.32 tff(17,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(quant_intro,[status(thm)],[16])).
% 11.07/11.32 tff(18,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(19,plain,
% 11.07/11.32 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))))),
% 11.07/11.32 inference(bind,[status(th)],[])).
% 11.07/11.32 tff(20,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(quant_intro,[status(thm)],[19])).
% 11.07/11.32 tff(21,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_77')).
% 11.07/11.32 tff(22,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[21, 20])).
% 11.07/11.32 tff(23,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[22, 18])).
% 11.07/11.32 tff(24,plain,(
% 11.07/11.32 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(skolemize,[status(sab)],[23])).
% 11.07/11.32 tff(25,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[24, 17])).
% 11.07/11.32 tff(26,plain,
% 11.07/11.32 (m_Sensor_v_s(c_SEN, c_s) <=> m_Sensor_v_s(c_SEN, c_s)),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(27,axiom,(m_Sensor_v_s(c_SEN, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 11.07/11.32 tff(28,plain,
% 11.07/11.32 (m_Sensor_v_s(c_SEN, c_s)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[27, 26])).
% 11.07/11.32 tff(29,plain,
% 11.07/11.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(30,plain,
% 11.07/11.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))),
% 11.07/11.32 inference(quant_inst,[status(thm)],[])).
% 11.07/11.32 tff(31,plain,
% 11.07/11.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[30, 29])).
% 11.07/11.32 tff(32,plain,
% 11.07/11.32 (node42(c_s, s5, s6)),
% 11.07/11.32 inference(unit_resolution,[status(thm)],[31, 28, 25, 15])).
% 11.07/11.32 tff(33,plain,
% 11.07/11.32 (succ(s0, s1) <=> succ(s0, s1)),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(34,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 11.07/11.32 tff(35,plain,
% 11.07/11.32 (succ(s0, s1)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[34, 33])).
% 11.07/11.32 tff(36,plain,
% 11.07/11.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(37,plain,
% 11.07/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 11.07/11.32 inference(quant_inst,[status(thm)],[])).
% 11.07/11.32 tff(38,plain,
% 11.07/11.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 11.07/11.32 inference(modus_ponens,[status(thm)],[37, 36])).
% 11.07/11.32 tff(39,plain,
% 11.07/11.32 (trans(s0, s1)),
% 11.07/11.32 inference(unit_resolution,[status(thm)],[38, 35, 8])).
% 11.07/11.32 tff(40,plain,
% 11.07/11.32 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)))),
% 11.07/11.32 inference(bind,[status(th)],[])).
% 11.07/11.32 tff(41,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.07/11.32 inference(quant_intro,[status(thm)],[40])).
% 11.07/11.32 tff(42,plain,
% 11.07/11.32 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.07/11.32 inference(rewrite,[status(thm)],[])).
% 11.07/11.32 tff(43,plain,
% 11.07/11.32 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(44,plain,
% 11.17/11.33 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[43])).
% 11.17/11.33 tff(45,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_106')).
% 11.17/11.33 tff(46,plain,
% 11.17/11.33 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[45, 44])).
% 11.17/11.33 tff(47,plain,
% 11.17/11.33 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[46, 42])).
% 11.17/11.33 tff(48,plain,(
% 11.17/11.33 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.17/11.33 inference(skolemize,[status(sab)],[47])).
% 11.17/11.33 tff(49,plain,
% 11.17/11.33 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[48, 41])).
% 11.17/11.33 tff(50,plain,
% 11.17/11.33 (m_Robot_v_s(c_RB, c_s) <=> m_Robot_v_s(c_RB, c_s)),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(51,axiom,(m_Robot_v_s(c_RB, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 11.17/11.33 tff(52,plain,
% 11.17/11.33 (m_Robot_v_s(c_RB, c_s)),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[51, 50])).
% 11.17/11.33 tff(53,plain,
% 11.17/11.33 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(54,plain,
% 11.17/11.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(55,plain,
% 11.17/11.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1)),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[54, 53])).
% 11.17/11.33 tff(56,plain,
% 11.17/11.33 (node141(c_s, s0, s1)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[55, 52, 49, 39])).
% 11.17/11.33 tff(57,plain,
% 11.17/11.33 (^[I0: $i] : refl(m_state_v_angle(I0, s0, c_arm1totable) <=> m_state_v_angle(I0, s0, c_arm1totable))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(58,plain,
% 11.17/11.33 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable) <=> ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.17/11.33 inference(quant_intro,[status(thm)],[57])).
% 11.17/11.33 tff(59,plain,
% 11.17/11.33 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable) <=> ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(60,axiom,(![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_88')).
% 11.17/11.33 tff(61,plain,
% 11.17/11.33 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[60, 59])).
% 11.17/11.33 tff(62,plain,(
% 11.17/11.33 ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.17/11.33 inference(skolemize,[status(sab)],[61])).
% 11.17/11.33 tff(63,plain,
% 11.17/11.33 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[62, 58])).
% 11.17/11.33 tff(64,plain,
% 11.17/11.33 ((~![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)) | m_state_v_angle(c_s, s0, c_arm1totable)),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(65,plain,
% 11.17/11.33 (m_state_v_angle(c_s, s0, c_arm1totable)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[64, 63])).
% 11.17/11.33 tff(66,plain,
% 11.17/11.33 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(67,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[66])).
% 11.17/11.33 tff(68,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(69,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_52')).
% 11.17/11.33 tff(70,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[69, 68])).
% 11.17/11.33 tff(71,plain,(
% 11.17/11.33 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[70])).
% 11.17/11.33 tff(72,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[71, 67])).
% 11.17/11.33 tff(73,plain,
% 11.17/11.33 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(74,plain,
% 11.17/11.33 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(75,plain,
% 11.17/11.33 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[74, 73])).
% 11.17/11.33 tff(76,plain,
% 11.17/11.33 (~m_state_v_angle(c_s, s0, c_arm2topress)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[75, 72, 65])).
% 11.17/11.33 tff(77,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(78,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[77])).
% 11.17/11.33 tff(79,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(80,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_55')).
% 11.17/11.33 tff(81,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[80, 79])).
% 11.17/11.33 tff(82,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[81])).
% 11.17/11.33 tff(83,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[82, 78])).
% 11.17/11.33 tff(84,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(85,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(86,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[85, 84])).
% 11.17/11.33 tff(87,plain,
% 11.17/11.33 (~node132(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[86, 83, 76])).
% 11.17/11.33 tff(88,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(89,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[88])).
% 11.17/11.33 tff(90,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(91,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_75')).
% 11.17/11.33 tff(92,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[91, 90])).
% 11.17/11.33 tff(93,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[92])).
% 11.17/11.33 tff(94,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[93, 89])).
% 11.17/11.33 tff(95,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(96,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(97,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[96, 95])).
% 11.17/11.33 tff(98,plain,
% 11.17/11.33 (~node134(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[97, 94, 76])).
% 11.17/11.33 tff(99,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(100,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[99])).
% 11.17/11.33 tff(101,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(102,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_81')).
% 11.17/11.33 tff(103,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[102, 101])).
% 11.17/11.33 tff(104,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[103])).
% 11.17/11.33 tff(105,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[104, 100])).
% 11.17/11.33 tff(106,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(107,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(108,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[107, 106])).
% 11.17/11.33 tff(109,plain,
% 11.17/11.33 (~node136(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[108, 105, 76])).
% 11.17/11.33 tff(110,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(111,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[110])).
% 11.17/11.33 tff(112,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(113,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_89')).
% 11.17/11.33 tff(114,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[113, 112])).
% 11.17/11.33 tff(115,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[114])).
% 11.17/11.33 tff(116,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[115, 111])).
% 11.17/11.33 tff(117,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(118,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(119,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[118, 117])).
% 11.17/11.33 tff(120,plain,
% 11.17/11.33 (~node138(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[119, 116, 76])).
% 11.17/11.33 tff(121,plain,
% 11.17/11.33 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(122,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[121])).
% 11.17/11.33 tff(123,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(124,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_53')).
% 11.17/11.33 tff(125,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[124, 123])).
% 11.17/11.33 tff(126,plain,(
% 11.17/11.33 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[125])).
% 11.17/11.33 tff(127,plain,
% 11.17/11.33 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[126, 122])).
% 11.17/11.33 tff(128,plain,
% 11.17/11.33 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(129,plain,
% 11.17/11.33 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(130,plain,
% 11.17/11.33 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[129, 128])).
% 11.17/11.33 tff(131,plain,
% 11.17/11.33 (~m_state_v_angle(c_s, s0, c_arm2todepbelt)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[130, 127, 65])).
% 11.17/11.33 tff(132,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(133,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[132])).
% 11.17/11.33 tff(134,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(135,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_66')).
% 11.17/11.33 tff(136,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[135, 134])).
% 11.17/11.33 tff(137,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[136])).
% 11.17/11.33 tff(138,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[137, 133])).
% 11.17/11.33 tff(139,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(140,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(141,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[140, 139])).
% 11.17/11.33 tff(142,plain,
% 11.17/11.33 (~node133(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[141, 138, 131])).
% 11.17/11.33 tff(143,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(144,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[143])).
% 11.17/11.33 tff(145,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(146,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_78')).
% 11.17/11.33 tff(147,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[146, 145])).
% 11.17/11.33 tff(148,plain,(
% 11.17/11.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.17/11.33 inference(skolemize,[status(sab)],[147])).
% 11.17/11.33 tff(149,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[148, 144])).
% 11.17/11.33 tff(150,plain,
% 11.17/11.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(151,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))),
% 11.17/11.33 inference(quant_inst,[status(thm)],[])).
% 11.17/11.33 tff(152,plain,
% 11.17/11.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0))),
% 11.17/11.33 inference(modus_ponens,[status(thm)],[151, 150])).
% 11.17/11.33 tff(153,plain,
% 11.17/11.33 (~node135(c_s, s0)),
% 11.17/11.33 inference(unit_resolution,[status(thm)],[152, 149, 131])).
% 11.17/11.33 tff(154,plain,
% 11.17/11.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))))),
% 11.17/11.33 inference(bind,[status(th)],[])).
% 11.17/11.33 tff(155,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.17/11.33 inference(quant_intro,[status(thm)],[154])).
% 11.17/11.33 tff(156,plain,
% 11.17/11.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.17/11.33 inference(rewrite,[status(thm)],[])).
% 11.17/11.33 tff(157,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_85')).
% 11.17/11.34 tff(158,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[157, 156])).
% 11.17/11.34 tff(159,plain,(
% 11.17/11.34 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[158])).
% 11.17/11.34 tff(160,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[159, 155])).
% 11.17/11.34 tff(161,plain,
% 11.17/11.34 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(162,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(163,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[162, 161])).
% 11.17/11.34 tff(164,plain,
% 11.17/11.34 (~node137(c_s, s0)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[163, 160, 131])).
% 11.17/11.34 tff(165,plain,
% 11.17/11.34 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(166,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[165])).
% 11.17/11.34 tff(167,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(168,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_92')).
% 11.17/11.34 tff(169,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[168, 167])).
% 11.17/11.34 tff(170,plain,(
% 11.17/11.34 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[169])).
% 11.17/11.34 tff(171,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[170, 166])).
% 11.17/11.34 tff(172,plain,
% 11.17/11.34 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(173,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(174,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[173, 172])).
% 11.17/11.34 tff(175,plain,
% 11.17/11.34 (~node139(c_s, s0)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[174, 171, 131])).
% 11.17/11.34 tff(176,plain,
% 11.17/11.34 (^[Y: $i, X: $i, J0: $i] : refl((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(177,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[176])).
% 11.17/11.34 tff(178,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(179,plain,
% 11.17/11.34 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node132(J0, X) | node133(J0, X)) | node134(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X))), ((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X)) | node135(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X)) | node135(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X))), ((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)))), (((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)) | node136(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)) | node136(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X))), (((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)))), ((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)) | node137(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)) | node137(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X))), ((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)))), (((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)) | node138(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)) | node138(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X))), (((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)))), ((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)) | node139(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)) | node139(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X))), ((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)))), (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)) | node140(J0, X, Y)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)) | node140(J0, X, Y)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y))), (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)))), ((((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)) | (~node141(J0, X, Y))))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))), ((((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(180,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[179])).
% 11.17/11.34 tff(181,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_105')).
% 11.17/11.34 tff(182,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[181, 180])).
% 11.17/11.34 tff(183,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[182, 178])).
% 11.17/11.34 tff(184,plain,(
% 11.17/11.34 ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[183])).
% 11.17/11.34 tff(185,plain,
% 11.17/11.34 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[184, 177])).
% 11.17/11.34 tff(186,plain,
% 11.17/11.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(187,plain,
% 11.17/11.34 ((node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1))) <=> (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(188,plain,
% 11.17/11.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1))))),
% 11.17/11.34 inference(monotonicity,[status(thm)],[187])).
% 11.17/11.34 tff(189,plain,
% 11.17/11.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))),
% 11.17/11.34 inference(transitivity,[status(thm)],[188, 186])).
% 11.17/11.34 tff(190,plain,
% 11.17/11.34 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(191,plain,
% 11.17/11.34 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[190, 189])).
% 11.17/11.34 tff(192,plain,
% 11.17/11.34 (node140(c_s, s0, s1)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[191, 185, 175, 164, 153, 142, 120, 109, 98, 87, 56])).
% 11.17/11.34 tff(193,plain,
% 11.17/11.34 (^[I0: $i] : refl(m_state_v_A2M(I0, s0, c_idle) <=> m_state_v_A2M(I0, s0, c_idle))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(194,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.17/11.34 inference(quant_intro,[status(thm)],[193])).
% 11.17/11.34 tff(195,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(196,axiom,(![I0: $i] : m_state_v_A2M(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_93')).
% 11.17/11.34 tff(197,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[196, 195])).
% 11.17/11.34 tff(198,plain,(
% 11.17/11.34 ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.17/11.34 inference(skolemize,[status(sab)],[197])).
% 11.17/11.34 tff(199,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[198, 194])).
% 11.17/11.34 tff(200,plain,
% 11.17/11.34 ((~![I0: $i] : m_state_v_A2M(I0, s0, c_idle)) | m_state_v_A2M(c_s, s0, c_idle)),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(201,plain,
% 11.17/11.34 (m_state_v_A2M(c_s, s0, c_idle)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[200, 199])).
% 11.17/11.34 tff(202,plain,
% 11.17/11.34 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(203,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[202])).
% 11.17/11.34 tff(204,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(205,plain,
% 11.17/11.34 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) <=> ((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))), (((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> (((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) | (~node140(J0, X, Y))))), rewrite((((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))), (((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(206,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[205])).
% 11.17/11.34 tff(207,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_95')).
% 11.17/11.34 tff(208,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[207, 206])).
% 11.17/11.34 tff(209,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[208, 204])).
% 11.17/11.34 tff(210,plain,(
% 11.17/11.34 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(skolemize,[status(sab)],[209])).
% 11.17/11.34 tff(211,plain,
% 11.17/11.34 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[210, 203])).
% 11.17/11.34 tff(212,plain,
% 11.17/11.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(213,plain,
% 11.17/11.34 (((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle)) <=> (m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(214,plain,
% 11.17/11.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1))))),
% 11.17/11.34 inference(monotonicity,[status(thm)],[213])).
% 11.17/11.34 tff(215,plain,
% 11.17/11.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1)))),
% 11.17/11.34 inference(transitivity,[status(thm)],[214, 212])).
% 11.17/11.34 tff(216,plain,
% 11.17/11.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(217,plain,
% 11.17/11.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s1, c_idle) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~node140(c_s, s0, s1))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[216, 215])).
% 11.17/11.34 tff(218,plain,
% 11.17/11.34 (m_state_v_A2M(c_s, s1, c_idle)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[217, 211, 201, 192])).
% 11.17/11.34 tff(219,assumption,(~node141(c_s, s1, s2)), introduced(assumption)).
% 11.17/11.34 tff(220,plain,
% 11.17/11.34 (succ(s1, s2) <=> succ(s1, s2)),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(221,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 11.17/11.34 tff(222,plain,
% 11.17/11.34 (succ(s1, s2)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[221, 220])).
% 11.17/11.34 tff(223,plain,
% 11.17/11.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(224,plain,
% 11.17/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(225,plain,
% 11.17/11.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[224, 223])).
% 11.17/11.34 tff(226,plain,
% 11.17/11.34 (trans(s1, s2)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[225, 222, 8])).
% 11.17/11.34 tff(227,plain,
% 11.17/11.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(228,plain,
% 11.17/11.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(229,plain,
% 11.17/11.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[228, 227])).
% 11.17/11.34 tff(230,plain,
% 11.17/11.34 ($false),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[229, 52, 49, 226, 219])).
% 11.17/11.34 tff(231,plain,(node141(c_s, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.34 tff(232,plain,
% 11.17/11.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(233,plain,
% 11.17/11.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(234,plain,
% 11.17/11.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[233, 232])).
% 11.17/11.34 tff(235,plain,
% 11.17/11.34 (node42(c_s, s0, s1)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[234, 28, 25, 39])).
% 11.17/11.34 tff(236,plain,
% 11.17/11.34 (^[I0: $i] : refl(m_state_v_RRM(I0, s0, c_idle) <=> m_state_v_RRM(I0, s0, c_idle))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(237,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.17/11.34 inference(quant_intro,[status(thm)],[236])).
% 11.17/11.34 tff(238,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(239,axiom,(![I0: $i] : m_state_v_RRM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_92')).
% 11.17/11.34 tff(240,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[239, 238])).
% 11.17/11.34 tff(241,plain,(
% 11.17/11.34 ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.17/11.34 inference(skolemize,[status(sab)],[240])).
% 11.17/11.34 tff(242,plain,
% 11.17/11.34 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[241, 237])).
% 11.17/11.34 tff(243,plain,
% 11.17/11.34 ((~![I0: $i] : m_state_v_RRM(I0, s0, c_idle)) | m_state_v_RRM(c_s, s0, c_idle)),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(244,plain,
% 11.17/11.34 (m_state_v_RRM(c_s, s0, c_idle)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[243, 242])).
% 11.17/11.34 tff(245,plain,
% 11.17/11.34 (^[I0: $i, X: $i] : refl(((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(246,plain,
% 11.17/11.34 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[245])).
% 11.17/11.34 tff(247,plain,
% 11.17/11.34 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(248,axiom,(![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_34')).
% 11.17/11.34 tff(249,plain,
% 11.17/11.34 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[248, 247])).
% 11.17/11.34 tff(250,plain,(
% 11.17/11.34 ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[249])).
% 11.17/11.34 tff(251,plain,
% 11.17/11.34 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[250, 246])).
% 11.17/11.34 tff(252,plain,
% 11.17/11.34 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(253,plain,
% 11.17/11.34 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(254,plain,
% 11.17/11.34 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[253, 252])).
% 11.17/11.34 tff(255,plain,
% 11.17/11.34 (~m_state_v_RRM(c_s, s0, c_counterclock)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[254, 251, 244])).
% 11.17/11.34 tff(256,plain,
% 11.17/11.34 (^[X: $i, J0: $i] : refl(((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(257,plain,
% 11.17/11.34 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[256])).
% 11.17/11.34 tff(258,plain,
% 11.17/11.34 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(259,plain,
% 11.17/11.34 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X))) <=> ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(260,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[259])).
% 11.17/11.34 tff(261,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_59')).
% 11.17/11.34 tff(262,plain,
% 11.17/11.34 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[261, 260])).
% 11.17/11.34 tff(263,plain,
% 11.17/11.34 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[262, 258])).
% 11.17/11.34 tff(264,plain,(
% 11.17/11.34 ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(skolemize,[status(sab)],[263])).
% 11.17/11.34 tff(265,plain,
% 11.17/11.34 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[264, 257])).
% 11.17/11.34 tff(266,plain,
% 11.17/11.34 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(267,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(268,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock)),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[267, 266])).
% 11.17/11.34 tff(269,plain,
% 11.17/11.34 (~node37(c_s, s0)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[268, 265, 255])).
% 11.17/11.34 tff(270,plain,
% 11.17/11.34 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(271,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[270])).
% 11.17/11.34 tff(272,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(273,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_61')).
% 11.17/11.34 tff(274,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[273, 272])).
% 11.17/11.34 tff(275,plain,(
% 11.17/11.34 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[274])).
% 11.17/11.34 tff(276,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[275, 271])).
% 11.17/11.34 tff(277,plain,
% 11.17/11.34 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(278,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))),
% 11.17/11.34 inference(quant_inst,[status(thm)],[])).
% 11.17/11.34 tff(279,plain,
% 11.17/11.34 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[278, 277])).
% 11.17/11.34 tff(280,plain,
% 11.17/11.34 (~node38(c_s, s0)),
% 11.17/11.34 inference(unit_resolution,[status(thm)],[279, 276, 76])).
% 11.17/11.34 tff(281,plain,
% 11.17/11.34 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))))),
% 11.17/11.34 inference(bind,[status(th)],[])).
% 11.17/11.34 tff(282,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.17/11.34 inference(quant_intro,[status(thm)],[281])).
% 11.17/11.34 tff(283,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.17/11.34 inference(rewrite,[status(thm)],[])).
% 11.17/11.34 tff(284,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_64')).
% 11.17/11.34 tff(285,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[284, 283])).
% 11.17/11.34 tff(286,plain,(
% 11.17/11.34 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.17/11.34 inference(skolemize,[status(sab)],[285])).
% 11.17/11.34 tff(287,plain,
% 11.17/11.34 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.17/11.34 inference(modus_ponens,[status(thm)],[286, 282])).
% 11.17/11.34 tff(288,plain,
% 11.17/11.34 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(289,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(290,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[289, 288])).
% 11.17/11.35 tff(291,plain,
% 11.17/11.35 (~node39(c_s, s0)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[290, 287, 131])).
% 11.17/11.35 tff(292,plain,
% 11.17/11.35 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(293,plain,
% 11.17/11.35 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[292])).
% 11.17/11.35 tff(294,plain,
% 11.17/11.35 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(295,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_54')).
% 11.17/11.35 tff(296,plain,
% 11.17/11.35 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[295, 294])).
% 11.17/11.35 tff(297,plain,(
% 11.17/11.35 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.17/11.35 inference(skolemize,[status(sab)],[296])).
% 11.17/11.35 tff(298,plain,
% 11.17/11.35 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[297, 293])).
% 11.17/11.35 tff(299,plain,
% 11.17/11.35 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(300,plain,
% 11.17/11.35 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(301,plain,
% 11.17/11.35 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[300, 299])).
% 11.17/11.35 tff(302,plain,
% 11.17/11.35 (~m_state_v_angle(c_s, s0, c_arm1topress)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[301, 298, 65])).
% 11.17/11.35 tff(303,plain,
% 11.17/11.35 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(304,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[303])).
% 11.17/11.35 tff(305,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(306,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_67')).
% 11.17/11.35 tff(307,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[306, 305])).
% 11.17/11.35 tff(308,plain,(
% 11.17/11.35 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.17/11.35 inference(skolemize,[status(sab)],[307])).
% 11.17/11.35 tff(309,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[308, 304])).
% 11.17/11.35 tff(310,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(311,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(312,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[311, 310])).
% 11.17/11.35 tff(313,plain,
% 11.17/11.35 (~node40(c_s, s0)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[312, 309, 302])).
% 11.17/11.35 tff(314,plain,
% 11.17/11.35 (^[Y: $i, X: $i, J0: $i] : refl((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(315,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[314])).
% 11.17/11.35 tff(316,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(317,plain,
% 11.17/11.35 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node37(J0, X) | node38(J0, X)) | node39(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X))), ((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X)) | node40(J0, X)))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X)) | node40(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X))), ((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)))), (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)) | node41(J0, X, Y)))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)) | node41(J0, X, Y)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y))), (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)))), ((((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)) | (~node42(J0, X, Y))))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))), ((((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(318,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[317])).
% 11.17/11.35 tff(319,axiom,(![Y: $i, X: $i, J0: $i] : (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_76')).
% 11.17/11.35 tff(320,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[319, 318])).
% 11.17/11.35 tff(321,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[320, 316])).
% 11.17/11.35 tff(322,plain,(
% 11.17/11.35 ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(skolemize,[status(sab)],[321])).
% 11.17/11.35 tff(323,plain,
% 11.17/11.35 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[322, 315])).
% 11.17/11.35 tff(324,plain,
% 11.17/11.35 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(325,plain,
% 11.17/11.35 ((node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))) <=> (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(326,plain,
% 11.17/11.35 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))))),
% 11.17/11.35 inference(monotonicity,[status(thm)],[325])).
% 11.17/11.35 tff(327,plain,
% 11.17/11.35 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.17/11.35 inference(transitivity,[status(thm)],[326, 324])).
% 11.17/11.35 tff(328,plain,
% 11.17/11.35 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(329,plain,
% 11.17/11.35 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[328, 327])).
% 11.17/11.35 tff(330,plain,
% 11.17/11.35 (node41(c_s, s0, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[329, 323, 313, 291, 280, 269, 235])).
% 11.17/11.35 tff(331,plain,
% 11.17/11.35 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(332,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[331])).
% 11.17/11.35 tff(333,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(334,plain,
% 11.17/11.35 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(335,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[334])).
% 11.17/11.35 tff(336,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_71')).
% 11.17/11.35 tff(337,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[336, 335])).
% 11.17/11.35 tff(338,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[337, 333])).
% 11.17/11.35 tff(339,plain,(
% 11.17/11.35 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(skolemize,[status(sab)],[338])).
% 11.17/11.35 tff(340,plain,
% 11.17/11.35 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[339, 332])).
% 11.17/11.35 tff(341,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(342,plain,
% 11.17/11.35 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress))) <=> (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(343,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1))))),
% 11.17/11.35 inference(monotonicity,[status(thm)],[342])).
% 11.17/11.35 tff(344,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(transitivity,[status(thm)],[343, 341])).
% 11.17/11.35 tff(345,plain,
% 11.17/11.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(346,plain,
% 11.17/11.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[345, 344])).
% 11.17/11.35 tff(347,plain,
% 11.17/11.35 (~m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[346, 340, 76, 330])).
% 11.17/11.35 tff(348,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(349,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(350,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[349, 348])).
% 11.17/11.35 tff(351,plain,
% 11.17/11.35 (~node132(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[350, 83, 347])).
% 11.17/11.35 tff(352,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(353,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(354,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[353, 352])).
% 11.17/11.35 tff(355,plain,
% 11.17/11.35 (~node134(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[354, 94, 347])).
% 11.17/11.35 tff(356,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(357,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(358,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[357, 356])).
% 11.17/11.35 tff(359,plain,
% 11.17/11.35 (~node138(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[358, 116, 347])).
% 11.17/11.35 tff(360,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(361,plain,
% 11.17/11.35 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(362,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1))))),
% 11.17/11.35 inference(monotonicity,[status(thm)],[361])).
% 11.17/11.35 tff(363,plain,
% 11.17/11.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.17/11.35 inference(transitivity,[status(thm)],[362, 360])).
% 11.17/11.35 tff(364,plain,
% 11.17/11.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(365,plain,
% 11.17/11.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[364, 363])).
% 11.17/11.35 tff(366,plain,
% 11.17/11.35 (~m_state_v_angle(c_s, s1, c_arm2todepbelt)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[365, 340, 131, 330])).
% 11.17/11.35 tff(367,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(368,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(369,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[368, 367])).
% 11.17/11.35 tff(370,plain,
% 11.17/11.35 (~node135(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[369, 149, 366])).
% 11.17/11.35 tff(371,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node137(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node137(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(372,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node137(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(373,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node137(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[372, 371])).
% 11.17/11.35 tff(374,plain,
% 11.17/11.35 (~node137(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[373, 160, 366])).
% 11.17/11.35 tff(375,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(376,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(377,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[376, 375])).
% 11.17/11.35 tff(378,plain,
% 11.17/11.35 (~node139(c_s, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[377, 171, 366])).
% 11.17/11.35 tff(379,plain,
% 11.17/11.35 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(380,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[379])).
% 11.17/11.35 tff(381,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(382,plain,
% 11.17/11.35 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(383,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[382])).
% 11.17/11.35 tff(384,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_130')).
% 11.17/11.35 tff(385,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[384, 383])).
% 11.17/11.35 tff(386,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[385, 381])).
% 11.17/11.35 tff(387,plain,(
% 11.17/11.35 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(skolemize,[status(sab)],[386])).
% 11.17/11.35 tff(388,plain,
% 11.17/11.35 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[387, 380])).
% 11.17/11.35 tff(389,plain,
% 11.17/11.35 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(390,plain,
% 11.17/11.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(391,plain,
% 11.17/11.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1)),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[390, 389])).
% 11.17/11.35 tff(392,plain,
% 11.17/11.35 (node149(c_s, s0, s1)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[391, 52, 388, 39])).
% 11.17/11.35 tff(393,plain,
% 11.17/11.35 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(394,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.17/11.35 inference(quant_intro,[status(thm)],[393])).
% 11.17/11.35 tff(395,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(396,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_119')).
% 11.17/11.35 tff(397,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[396, 395])).
% 11.17/11.35 tff(398,plain,(
% 11.17/11.35 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.17/11.35 inference(skolemize,[status(sab)],[397])).
% 11.17/11.35 tff(399,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[398, 394])).
% 11.17/11.35 tff(400,plain,
% 11.17/11.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))),
% 11.17/11.35 inference(rewrite,[status(thm)],[])).
% 11.17/11.35 tff(401,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))),
% 11.17/11.35 inference(quant_inst,[status(thm)],[])).
% 11.17/11.35 tff(402,plain,
% 11.17/11.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0))),
% 11.17/11.35 inference(modus_ponens,[status(thm)],[401, 400])).
% 11.17/11.35 tff(403,plain,
% 11.17/11.35 (~node146(c_s, s0)),
% 11.17/11.35 inference(unit_resolution,[status(thm)],[402, 399, 76])).
% 11.17/11.35 tff(404,plain,
% 11.17/11.35 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))))),
% 11.17/11.35 inference(bind,[status(th)],[])).
% 11.17/11.35 tff(405,plain,
% 11.17/11.35 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[404])).
% 11.17/11.36 tff(406,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(407,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_122')).
% 11.17/11.36 tff(408,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[407, 406])).
% 11.17/11.36 tff(409,plain,(
% 11.17/11.36 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.17/11.36 inference(skolemize,[status(sab)],[408])).
% 11.17/11.36 tff(410,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[409, 405])).
% 11.17/11.36 tff(411,plain,
% 11.17/11.36 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(412,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(413,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[412, 411])).
% 11.17/11.36 tff(414,plain,
% 11.17/11.36 (~node147(c_s, s0)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[413, 410, 131])).
% 11.17/11.36 tff(415,plain,
% 11.17/11.36 (^[Y: $i, X: $i, J0: $i] : refl((node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(416,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[415])).
% 11.17/11.36 tff(417,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(418,plain,
% 11.17/11.36 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y))), ((((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> ((node146(J0, X) | node147(J0, X) | node148(J0, X, Y)) | (~node149(J0, X, Y))))), rewrite(((node146(J0, X) | node147(J0, X) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))), ((((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(419,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[418])).
% 11.17/11.36 tff(420,axiom,(![Y: $i, X: $i, J0: $i] : (((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_129')).
% 11.17/11.36 tff(421,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[420, 419])).
% 11.17/11.36 tff(422,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[421, 417])).
% 11.17/11.36 tff(423,plain,(
% 11.17/11.36 ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(skolemize,[status(sab)],[422])).
% 11.17/11.36 tff(424,plain,
% 11.17/11.36 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[423, 416])).
% 11.17/11.36 tff(425,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(426,plain,
% 11.17/11.36 ((node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))) <=> (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(427,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))))),
% 11.17/11.36 inference(monotonicity,[status(thm)],[426])).
% 11.17/11.36 tff(428,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.17/11.36 inference(transitivity,[status(thm)],[427, 425])).
% 11.17/11.36 tff(429,plain,
% 11.17/11.36 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(430,plain,
% 11.17/11.36 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[429, 428])).
% 11.17/11.36 tff(431,plain,
% 11.17/11.36 (node148(c_s, s0, s1)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[430, 424, 414, 403, 392])).
% 11.17/11.36 tff(432,plain,
% 11.17/11.36 (^[I0: $i] : refl(m_state_v_A2Mag(I0, s0, c_off) <=> m_state_v_A2Mag(I0, s0, c_off))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(433,plain,
% 11.17/11.36 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.17/11.36 inference(quant_intro,[status(thm)],[432])).
% 11.17/11.36 tff(434,plain,
% 11.17/11.36 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(435,axiom,(![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_95')).
% 11.17/11.36 tff(436,plain,
% 11.17/11.36 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[435, 434])).
% 11.17/11.36 tff(437,plain,(
% 11.17/11.36 ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.17/11.36 inference(skolemize,[status(sab)],[436])).
% 11.17/11.36 tff(438,plain,
% 11.17/11.36 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[437, 433])).
% 11.17/11.36 tff(439,plain,
% 11.17/11.36 ((~![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)) | m_state_v_A2Mag(c_s, s0, c_off)),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(440,plain,
% 11.17/11.36 (m_state_v_A2Mag(c_s, s0, c_off)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[439, 438])).
% 11.17/11.36 tff(441,plain,
% 11.17/11.36 (^[I0: $i, X: $i] : refl(((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(442,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[441])).
% 11.17/11.36 tff(443,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(444,plain,
% 11.17/11.36 (^[I0: $i, X: $i] : rewrite(((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off))) <=> ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(445,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[444])).
% 11.17/11.36 tff(446,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_12')).
% 11.17/11.36 tff(447,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[446, 445])).
% 11.17/11.36 tff(448,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[447, 443])).
% 11.17/11.36 tff(449,plain,(
% 11.17/11.36 ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(skolemize,[status(sab)],[448])).
% 11.17/11.36 tff(450,plain,
% 11.17/11.36 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[449, 442])).
% 11.17/11.36 tff(451,plain,
% 11.17/11.36 (((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(452,plain,
% 11.17/11.36 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(453,plain,
% 11.17/11.36 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[452, 451])).
% 11.17/11.36 tff(454,plain,
% 11.17/11.36 (~m_state_v_A2Mag(c_s, s0, c_on)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[453, 450, 440])).
% 11.17/11.36 tff(455,plain,
% 11.17/11.36 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(456,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[455])).
% 11.17/11.36 tff(457,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(458,plain,
% 11.17/11.36 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(459,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[458])).
% 11.17/11.36 tff(460,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_126')).
% 11.17/11.36 tff(461,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[460, 459])).
% 11.17/11.36 tff(462,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[461, 457])).
% 11.17/11.36 tff(463,plain,(
% 11.17/11.36 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(skolemize,[status(sab)],[462])).
% 11.17/11.36 tff(464,plain,
% 11.17/11.36 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[463, 456])).
% 11.17/11.36 tff(465,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(466,plain,
% 11.17/11.36 (((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on))) <=> (m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(467,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on))))),
% 11.17/11.36 inference(monotonicity,[status(thm)],[466])).
% 11.17/11.36 tff(468,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on)))),
% 11.17/11.36 inference(transitivity,[status(thm)],[467, 465])).
% 11.17/11.36 tff(469,plain,
% 11.17/11.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(470,plain,
% 11.17/11.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s1, c_on))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[469, 468])).
% 11.17/11.36 tff(471,plain,
% 11.17/11.36 (~m_state_v_A2Mag(c_s, s1, c_on)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[470, 464, 454, 431])).
% 11.17/11.36 tff(472,plain,
% 11.17/11.36 (^[X: $i, J0: $i] : refl((m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(473,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[472])).
% 11.17/11.36 tff(474,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(475,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_84')).
% 11.17/11.36 tff(476,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[475, 474])).
% 11.17/11.36 tff(477,plain,(
% 11.17/11.36 ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 11.17/11.36 inference(skolemize,[status(sab)],[476])).
% 11.17/11.36 tff(478,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[477, 473])).
% 11.17/11.36 tff(479,plain,
% 11.17/11.36 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node136(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node136(c_s, s1)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(480,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node136(c_s, s1)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(481,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node136(c_s, s1))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[480, 479])).
% 11.17/11.36 tff(482,plain,
% 11.17/11.36 (m_state_v_A2Mag(c_s, s1, c_on) | (~node136(c_s, s1))),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[481, 478])).
% 11.17/11.36 tff(483,plain,
% 11.17/11.36 (~node136(c_s, s1)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[482, 471])).
% 11.17/11.36 tff(484,plain,
% 11.17/11.36 (^[X: $i, J0: $i] : refl(((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(485,plain,
% 11.17/11.36 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[484])).
% 11.17/11.36 tff(486,plain,
% 11.17/11.36 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(487,plain,
% 11.17/11.36 (^[X: $i, J0: $i] : rewrite((m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X))) <=> ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)))),
% 11.17/11.36 inference(bind,[status(th)],[])).
% 11.17/11.36 tff(488,plain,
% 11.17/11.36 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(quant_intro,[status(thm)],[487])).
% 11.17/11.36 tff(489,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_73')).
% 11.17/11.36 tff(490,plain,
% 11.17/11.36 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[489, 488])).
% 11.17/11.36 tff(491,plain,
% 11.17/11.36 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[490, 486])).
% 11.17/11.36 tff(492,plain,(
% 11.17/11.36 ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(skolemize,[status(sab)],[491])).
% 11.17/11.36 tff(493,plain,
% 11.17/11.36 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[492, 485])).
% 11.17/11.36 tff(494,plain,
% 11.17/11.36 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s1)) | m_state_v_A2Mag(c_s, s1, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s1)) | m_state_v_A2Mag(c_s, s1, c_on))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(495,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s1)) | m_state_v_A2Mag(c_s, s1, c_on))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(496,plain,
% 11.17/11.36 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s1)) | m_state_v_A2Mag(c_s, s1, c_on)),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[495, 494])).
% 11.17/11.36 tff(497,plain,
% 11.17/11.36 ((~node133(c_s, s1)) | m_state_v_A2Mag(c_s, s1, c_on)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[496, 493])).
% 11.17/11.36 tff(498,plain,
% 11.17/11.36 (~node133(c_s, s1)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[497, 471])).
% 11.17/11.36 tff(499,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(500,plain,
% 11.17/11.36 ((node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2))) <=> (node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(501,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2))))),
% 11.17/11.36 inference(monotonicity,[status(thm)],[500])).
% 11.17/11.36 tff(502,plain,
% 11.17/11.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))),
% 11.17/11.36 inference(transitivity,[status(thm)],[501, 499])).
% 11.17/11.36 tff(503,plain,
% 11.17/11.36 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(504,plain,
% 11.17/11.36 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s1) | node136(c_s, s1) | node135(c_s, s1) | node134(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node132(c_s, s1) | node137(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[503, 502])).
% 11.17/11.36 tff(505,plain,
% 11.17/11.36 (node140(c_s, s1, s2)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[504, 185, 498, 483, 378, 374, 370, 359, 355, 351, 231])).
% 11.17/11.36 tff(506,assumption,(~m_state_v_A2M(c_s, s2, c_idle)), introduced(assumption)).
% 11.17/11.36 tff(507,assumption,(m_state_v_A2M(c_s, s1, c_idle)), introduced(assumption)).
% 11.17/11.36 tff(508,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(509,plain,
% 11.17/11.36 (((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle)) <=> (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.17/11.36 inference(rewrite,[status(thm)],[])).
% 11.17/11.36 tff(510,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2))))),
% 11.17/11.36 inference(monotonicity,[status(thm)],[509])).
% 11.17/11.36 tff(511,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.17/11.36 inference(transitivity,[status(thm)],[510, 508])).
% 11.17/11.36 tff(512,plain,
% 11.17/11.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))),
% 11.17/11.36 inference(quant_inst,[status(thm)],[])).
% 11.17/11.36 tff(513,plain,
% 11.17/11.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2))),
% 11.17/11.36 inference(modus_ponens,[status(thm)],[512, 511])).
% 11.17/11.36 tff(514,plain,
% 11.17/11.36 ($false),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[513, 211, 507, 506, 505])).
% 11.17/11.36 tff(515,plain,((~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.36 tff(516,plain,
% 11.17/11.36 (m_state_v_A2M(c_s, s2, c_idle)),
% 11.17/11.36 inference(unit_resolution,[status(thm)],[515, 218])).
% 11.17/11.36 tff(517,assumption,(~m_state_v_A2M(c_s, s3, c_idle)), introduced(assumption)).
% 11.17/11.36 tff(518,assumption,(m_state_v_A2M(c_s, s2, c_idle)), introduced(assumption)).
% 11.17/11.36 tff(519,assumption,(node140(c_s, s2, s3)), introduced(assumption)).
% 11.17/11.36 tff(520,plain,
% 11.17/11.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(521,plain,
% 11.17/11.37 (((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle)) <=> (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(522,plain,
% 11.17/11.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3))))),
% 11.17/11.37 inference(monotonicity,[status(thm)],[521])).
% 11.17/11.37 tff(523,plain,
% 11.17/11.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 11.17/11.37 inference(transitivity,[status(thm)],[522, 520])).
% 11.17/11.37 tff(524,plain,
% 11.17/11.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(525,plain,
% 11.17/11.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[524, 523])).
% 11.17/11.37 tff(526,plain,
% 11.17/11.37 ($false),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[525, 211, 518, 517, 519])).
% 11.17/11.37 tff(527,plain,((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.37 tff(528,plain,
% 11.17/11.37 (~node140(c_s, s2, s3)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[527, 518, 517])).
% 11.17/11.37 tff(529,plain,
% 11.17/11.37 (^[I0: $i, X: $i] : refl(((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(530,plain,
% 11.17/11.37 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[529])).
% 11.17/11.37 tff(531,plain,
% 11.17/11.37 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(532,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_10')).
% 11.17/11.37 tff(533,plain,
% 11.17/11.37 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[532, 531])).
% 11.17/11.37 tff(534,plain,(
% 11.17/11.37 ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.37 inference(skolemize,[status(sab)],[533])).
% 11.17/11.37 tff(535,plain,
% 11.17/11.37 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[534, 530])).
% 11.17/11.37 tff(536,plain,
% 11.17/11.37 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(537,plain,
% 11.17/11.37 (((~m_state_v_A2M(c_s, s2, c_retract)) | (~m_state_v_A2M(c_s, s2, c_idle))) <=> ((~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(538,plain,
% 11.17/11.37 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | (~m_state_v_A2M(c_s, s2, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract))))),
% 11.17/11.37 inference(monotonicity,[status(thm)],[537])).
% 11.17/11.37 tff(539,plain,
% 11.17/11.37 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | (~m_state_v_A2M(c_s, s2, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.17/11.37 inference(transitivity,[status(thm)],[538, 536])).
% 11.17/11.37 tff(540,plain,
% 11.17/11.37 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | (~m_state_v_A2M(c_s, s2, c_idle)))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(541,plain,
% 11.17/11.37 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2M(c_s, s2, c_retract))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[540, 539])).
% 11.17/11.37 tff(542,plain,
% 11.17/11.37 (~m_state_v_A2M(c_s, s2, c_retract)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[541, 535, 518])).
% 11.17/11.37 tff(543,plain,
% 11.17/11.37 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(544,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[543])).
% 11.17/11.37 tff(545,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(546,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_93')).
% 11.17/11.37 tff(547,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[546, 545])).
% 11.17/11.37 tff(548,plain,(
% 11.17/11.37 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 11.17/11.37 inference(skolemize,[status(sab)],[547])).
% 11.17/11.37 tff(549,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[548, 544])).
% 11.17/11.37 tff(550,plain,
% 11.17/11.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(551,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(552,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[551, 550])).
% 11.17/11.37 tff(553,plain,
% 11.17/11.37 (~node139(c_s, s2)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[552, 549, 542])).
% 11.17/11.37 tff(554,plain,
% 11.17/11.37 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(555,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[554])).
% 11.17/11.37 tff(556,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(557,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_90')).
% 11.17/11.37 tff(558,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[557, 556])).
% 11.17/11.37 tff(559,plain,(
% 11.17/11.37 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 11.17/11.37 inference(skolemize,[status(sab)],[558])).
% 11.17/11.37 tff(560,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[559, 555])).
% 11.17/11.37 tff(561,plain,
% 11.17/11.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(562,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(563,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[562, 561])).
% 11.17/11.37 tff(564,plain,
% 11.17/11.37 (~node138(c_s, s2)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[563, 560, 542])).
% 11.17/11.37 tff(565,assumption,(~m_state_v_a2ext(c_s, s2, c_retracted)), introduced(assumption)).
% 11.17/11.37 tff(566,plain,
% 11.17/11.37 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(567,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[566])).
% 11.17/11.37 tff(568,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(569,plain,
% 11.17/11.37 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(570,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[569])).
% 11.17/11.37 tff(571,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_57')).
% 11.17/11.37 tff(572,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[571, 570])).
% 11.17/11.37 tff(573,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[572, 568])).
% 11.17/11.37 tff(574,plain,(
% 11.17/11.37 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(skolemize,[status(sab)],[573])).
% 11.17/11.37 tff(575,plain,
% 11.17/11.37 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[574, 567])).
% 11.17/11.37 tff(576,plain,
% 11.17/11.37 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(577,plain,
% 11.17/11.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(578,plain,
% 11.17/11.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2)),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[577, 576])).
% 11.17/11.37 tff(579,plain,
% 11.17/11.37 (node36(c_s, s1, s2)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[578, 28, 575, 226])).
% 11.17/11.37 tff(580,plain,
% 11.17/11.37 (^[X: $i, J0: $i] : refl(((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(581,plain,
% 11.17/11.37 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[580])).
% 11.17/11.37 tff(582,plain,
% 11.17/11.37 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(583,plain,
% 11.17/11.37 (^[X: $i, J0: $i] : rewrite((m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X))) <=> ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(584,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X))) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[583])).
% 11.17/11.37 tff(585,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_48')).
% 11.17/11.37 tff(586,plain,
% 11.17/11.37 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[585, 584])).
% 11.17/11.37 tff(587,plain,
% 11.17/11.37 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[586, 582])).
% 11.17/11.37 tff(588,plain,(
% 11.17/11.37 ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(skolemize,[status(sab)],[587])).
% 11.17/11.37 tff(589,plain,
% 11.17/11.37 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[588, 581])).
% 11.17/11.37 tff(590,plain,
% 11.17/11.37 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(591,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(592,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[591, 590])).
% 11.17/11.37 tff(593,plain,
% 11.17/11.37 (~node33(c_s, s1)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[592, 589, 347])).
% 11.17/11.37 tff(594,plain,
% 11.17/11.37 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(595,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[594])).
% 11.17/11.37 tff(596,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(597,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_50')).
% 11.17/11.37 tff(598,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[597, 596])).
% 11.17/11.37 tff(599,plain,(
% 11.17/11.37 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.17/11.37 inference(skolemize,[status(sab)],[598])).
% 11.17/11.37 tff(600,plain,
% 11.17/11.37 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[599, 595])).
% 11.17/11.37 tff(601,plain,
% 11.17/11.37 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(602,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(603,plain,
% 11.17/11.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[602, 601])).
% 11.17/11.37 tff(604,plain,
% 11.17/11.37 (~node34(c_s, s1)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[603, 600, 366])).
% 11.17/11.37 tff(605,plain,
% 11.17/11.37 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted)) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted)))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(606,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[605])).
% 11.17/11.37 tff(607,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(608,plain,
% 11.17/11.37 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X))), ((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) <=> (((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X)) | m_state_v_a2ext(J0, Y, c_retracted)))), rewrite((((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X)) | m_state_v_a2ext(J0, Y, c_retracted)) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | m_state_v_a2ext(J0, Y, c_retracted))), ((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | m_state_v_a2ext(J0, Y, c_retracted)))), (((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y))) <=> (((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y))))), rewrite((((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y))) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))), (((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y))) <=> ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(609,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[608])).
% 11.17/11.37 tff(610,axiom,(![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) | m_state_v_a2ext(J0, Y, c_retracted)) | (~node36(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_55')).
% 11.17/11.37 tff(611,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[610, 609])).
% 11.17/11.37 tff(612,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[611, 607])).
% 11.17/11.37 tff(613,plain,(
% 11.17/11.37 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(skolemize,[status(sab)],[612])).
% 11.17/11.37 tff(614,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[613, 606])).
% 11.17/11.37 tff(615,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(616,plain,
% 11.17/11.37 (((~m_state_v_A2M(c_s, s1, c_retract)) | node34(c_s, s1) | node33(c_s, s1) | (~node36(c_s, s1, s2)) | m_state_v_a2ext(c_s, s2, c_retracted)) <=> (m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(617,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s1, c_retract)) | node34(c_s, s1) | node33(c_s, s1) | (~node36(c_s, s1, s2)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2))))),
% 11.17/11.37 inference(monotonicity,[status(thm)],[616])).
% 11.17/11.37 tff(618,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s1, c_retract)) | node34(c_s, s1) | node33(c_s, s1) | (~node36(c_s, s1, s2)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(transitivity,[status(thm)],[617, 615])).
% 11.17/11.37 tff(619,plain,
% 11.17/11.37 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s1, c_retract)) | node34(c_s, s1) | node33(c_s, s1) | (~node36(c_s, s1, s2)) | m_state_v_a2ext(c_s, s2, c_retracted))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(620,plain,
% 11.17/11.37 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | m_state_v_a2ext(c_s, s2, c_retracted) | node33(c_s, s1) | node34(c_s, s1) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node36(c_s, s1, s2))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[619, 618])).
% 11.17/11.37 tff(621,plain,
% 11.17/11.37 (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_A2M(c_s, s1, c_retract))),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[620, 614, 604, 593, 579])).
% 11.17/11.37 tff(622,plain,
% 11.17/11.37 (~m_state_v_A2M(c_s, s1, c_retract)),
% 11.17/11.37 inference(unit_resolution,[status(thm)],[621, 565])).
% 11.17/11.37 tff(623,plain,
% 11.17/11.37 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(624,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[623])).
% 11.17/11.37 tff(625,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(626,plain,
% 11.17/11.37 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X))), ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) <=> ((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X)) | node35(J0, X, Y)))), rewrite(((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X)) | node35(J0, X, Y)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y))), ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)))), (((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> ((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)) | (~node36(J0, X, Y))))), rewrite(((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))), (((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))))),
% 11.17/11.37 inference(bind,[status(th)],[])).
% 11.17/11.37 tff(627,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(quant_intro,[status(thm)],[626])).
% 11.17/11.37 tff(628,axiom,(![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_56')).
% 11.17/11.37 tff(629,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[628, 627])).
% 11.17/11.37 tff(630,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[629, 625])).
% 11.17/11.37 tff(631,plain,(
% 11.17/11.37 ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(skolemize,[status(sab)],[630])).
% 11.17/11.37 tff(632,plain,
% 11.17/11.37 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.17/11.37 inference(modus_ponens,[status(thm)],[631, 624])).
% 11.17/11.37 tff(633,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(634,plain,
% 11.17/11.37 ((m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2))) <=> (m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(rewrite,[status(thm)],[])).
% 11.17/11.37 tff(635,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2))))),
% 11.17/11.37 inference(monotonicity,[status(thm)],[634])).
% 11.17/11.37 tff(636,plain,
% 11.17/11.37 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(transitivity,[status(thm)],[635, 633])).
% 11.17/11.37 tff(637,plain,
% 11.17/11.37 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))),
% 11.17/11.37 inference(quant_inst,[status(thm)],[])).
% 11.17/11.37 tff(638,plain,
% 11.17/11.37 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node33(c_s, s1) | node34(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[637, 636])).
% 11.17/11.38 tff(639,plain,
% 11.17/11.38 (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[638, 632, 604, 593, 579])).
% 11.17/11.38 tff(640,plain,
% 11.17/11.38 (node35(c_s, s1, s2)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[639, 622])).
% 11.17/11.38 tff(641,assumption,(~m_state_v_a2ext(c_s, s0, c_retracted)), introduced(assumption)).
% 11.17/11.38 tff(642,plain,
% 11.17/11.38 (^[I0: $i] : refl(m_state_v_a2ext(I0, s0, c_retracted) <=> m_state_v_a2ext(I0, s0, c_retracted))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(643,plain,
% 11.17/11.38 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.17/11.38 inference(quant_intro,[status(thm)],[642])).
% 11.17/11.38 tff(644,plain,
% 11.17/11.38 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(645,axiom,(![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_91')).
% 11.17/11.38 tff(646,plain,
% 11.17/11.38 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[645, 644])).
% 11.17/11.38 tff(647,plain,(
% 11.17/11.38 ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.17/11.38 inference(skolemize,[status(sab)],[646])).
% 11.17/11.38 tff(648,plain,
% 11.17/11.38 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[647, 643])).
% 11.17/11.38 tff(649,plain,
% 11.17/11.38 ((~![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)) | m_state_v_a2ext(c_s, s0, c_retracted)),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(650,plain,
% 11.17/11.38 ($false),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[649, 648, 641])).
% 11.17/11.38 tff(651,plain,(m_state_v_a2ext(c_s, s0, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.38 tff(652,plain,
% 11.17/11.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(653,plain,
% 11.17/11.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(654,plain,
% 11.17/11.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[653, 652])).
% 11.17/11.38 tff(655,plain,
% 11.17/11.38 (node36(c_s, s0, s1)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[654, 28, 575, 39])).
% 11.17/11.38 tff(656,plain,
% 11.17/11.38 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(657,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(658,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[657, 656])).
% 11.17/11.38 tff(659,plain,
% 11.17/11.38 (~node34(c_s, s0)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[658, 600, 131])).
% 11.17/11.38 tff(660,plain,
% 11.17/11.38 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(661,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(662,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[661, 660])).
% 11.17/11.38 tff(663,plain,
% 11.17/11.38 (~m_state_v_A2M(c_s, s0, c_retract)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[662, 535, 201])).
% 11.17/11.38 tff(664,plain,
% 11.17/11.38 (^[I0: $i, X: $i] : refl(((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(665,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[664])).
% 11.17/11.38 tff(666,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(667,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_9')).
% 11.17/11.38 tff(668,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[667, 666])).
% 11.17/11.38 tff(669,plain,(
% 11.17/11.38 ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.38 inference(skolemize,[status(sab)],[668])).
% 11.17/11.38 tff(670,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[669, 665])).
% 11.17/11.38 tff(671,plain,
% 11.17/11.38 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(672,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(673,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[672, 671])).
% 11.17/11.38 tff(674,plain,
% 11.17/11.38 (~m_state_v_A2M(c_s, s0, c_extend)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[673, 670, 201])).
% 11.17/11.38 tff(675,plain,
% 11.17/11.38 (^[X: $i, J0: $i] : refl(((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(676,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[675])).
% 11.17/11.38 tff(677,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(678,plain,
% 11.17/11.38 (^[X: $i, J0: $i] : rewrite((m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X))) <=> ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(679,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X))) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[678])).
% 11.17/11.38 tff(680,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_47')).
% 11.17/11.38 tff(681,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[680, 679])).
% 11.17/11.38 tff(682,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[681, 677])).
% 11.17/11.38 tff(683,plain,(
% 11.17/11.38 ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(skolemize,[status(sab)],[682])).
% 11.17/11.38 tff(684,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[683, 676])).
% 11.17/11.38 tff(685,plain,
% 11.17/11.38 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s0)) | m_state_v_A2M(c_s, s0, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s0)) | m_state_v_A2M(c_s, s0, c_extend))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(686,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s0)) | m_state_v_A2M(c_s, s0, c_extend))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(687,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s0)) | m_state_v_A2M(c_s, s0, c_extend)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[686, 685])).
% 11.17/11.38 tff(688,plain,
% 11.17/11.38 ((~node33(c_s, s0)) | m_state_v_A2M(c_s, s0, c_extend)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[687, 684])).
% 11.17/11.38 tff(689,plain,
% 11.17/11.38 (~node33(c_s, s0)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[688, 674])).
% 11.17/11.38 tff(690,plain,
% 11.17/11.38 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(691,plain,
% 11.17/11.38 ((m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1))) <=> (node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(692,plain,
% 11.17/11.38 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1)))),
% 11.17/11.38 inference(monotonicity,[status(thm)],[691])).
% 11.17/11.38 tff(693,plain,
% 11.17/11.38 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1))),
% 11.17/11.38 inference(transitivity,[status(thm)],[692, 690])).
% 11.17/11.38 tff(694,plain,
% 11.17/11.38 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(695,plain,
% 11.17/11.38 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s0) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | (~node36(c_s, s0, s1)) | node35(c_s, s0, s1)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[694, 693])).
% 11.17/11.38 tff(696,plain,
% 11.17/11.38 (node35(c_s, s0, s1)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[695, 632, 689, 663, 659, 655])).
% 11.17/11.38 tff(697,assumption,(~m_state_v_a2ext(c_s, s1, c_retracted)), introduced(assumption)).
% 11.17/11.38 tff(698,assumption,(m_state_v_a2ext(c_s, s0, c_retracted)), introduced(assumption)).
% 11.17/11.38 tff(699,plain,
% 11.17/11.38 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(700,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[699])).
% 11.17/11.38 tff(701,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(702,plain,
% 11.17/11.38 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) <=> ((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))), (((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> (((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) | (~node35(J0, X, Y))))), rewrite((((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))), (((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(703,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[702])).
% 11.17/11.38 tff(704,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_51')).
% 11.17/11.38 tff(705,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[704, 703])).
% 11.17/11.38 tff(706,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[705, 701])).
% 11.17/11.38 tff(707,plain,(
% 11.17/11.38 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(skolemize,[status(sab)],[706])).
% 11.17/11.38 tff(708,plain,
% 11.17/11.38 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[707, 700])).
% 11.17/11.38 tff(709,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(710,plain,
% 11.17/11.38 (((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(711,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1))))),
% 11.17/11.38 inference(monotonicity,[status(thm)],[710])).
% 11.17/11.38 tff(712,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1)))),
% 11.17/11.38 inference(transitivity,[status(thm)],[711, 709])).
% 11.17/11.38 tff(713,plain,
% 11.17/11.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(714,plain,
% 11.17/11.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted) | (~node35(c_s, s0, s1))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[713, 712])).
% 11.17/11.38 tff(715,plain,
% 11.17/11.38 ($false),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[714, 708, 698, 697, 696])).
% 11.17/11.38 tff(716,plain,((~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.38 tff(717,plain,
% 11.17/11.38 (m_state_v_a2ext(c_s, s1, c_retracted)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[716, 651])).
% 11.17/11.38 tff(718,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(719,plain,
% 11.17/11.38 (((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted)) <=> (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(720,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2))))),
% 11.17/11.38 inference(monotonicity,[status(thm)],[719])).
% 11.17/11.38 tff(721,plain,
% 11.17/11.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.17/11.38 inference(transitivity,[status(thm)],[720, 718])).
% 11.17/11.38 tff(722,plain,
% 11.17/11.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(723,plain,
% 11.17/11.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[722, 721])).
% 11.17/11.38 tff(724,plain,
% 11.17/11.38 ($false),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[723, 708, 565, 717, 640])).
% 11.17/11.38 tff(725,plain,(m_state_v_a2ext(c_s, s2, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.38 tff(726,plain,
% 11.17/11.38 (^[I0: $i, X: $i] : refl(((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(727,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[726])).
% 11.17/11.38 tff(728,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(729,axiom,(![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_50')).
% 11.17/11.38 tff(730,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[729, 728])).
% 11.17/11.38 tff(731,plain,(
% 11.17/11.38 ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.38 inference(skolemize,[status(sab)],[730])).
% 11.17/11.38 tff(732,plain,
% 11.17/11.38 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[731, 727])).
% 11.17/11.38 tff(733,plain,
% 11.17/11.38 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s2, c_ob)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(734,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s2, c_ob)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(735,plain,
% 11.17/11.38 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~m_state_v_a2ext(c_s, s2, c_retracted))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[734, 733])).
% 11.17/11.38 tff(736,plain,
% 11.17/11.38 (~m_state_v_a2ext(c_s, s2, c_ob)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[735, 732, 725])).
% 11.17/11.38 tff(737,plain,
% 11.17/11.38 (^[X: $i, J0: $i] : refl(((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(738,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[737])).
% 11.17/11.38 tff(739,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(740,plain,
% 11.17/11.38 (^[X: $i, J0: $i] : rewrite((m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X))) <=> ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(741,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[740])).
% 11.17/11.38 tff(742,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_80')).
% 11.17/11.38 tff(743,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[742, 741])).
% 11.17/11.38 tff(744,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[743, 739])).
% 11.17/11.38 tff(745,plain,(
% 11.17/11.38 ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(skolemize,[status(sab)],[744])).
% 11.17/11.38 tff(746,plain,
% 11.17/11.38 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[745, 738])).
% 11.17/11.38 tff(747,plain,
% 11.17/11.38 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_ob))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(748,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_ob))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(749,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_ob)),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[748, 747])).
% 11.17/11.38 tff(750,plain,
% 11.17/11.38 (~node135(c_s, s2)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[749, 746, 736])).
% 11.17/11.38 tff(751,plain,
% 11.17/11.38 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))))),
% 11.17/11.38 inference(bind,[status(th)],[])).
% 11.17/11.38 tff(752,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.17/11.38 inference(quant_intro,[status(thm)],[751])).
% 11.17/11.38 tff(753,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(754,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_86')).
% 11.17/11.38 tff(755,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[754, 753])).
% 11.17/11.38 tff(756,plain,(
% 11.17/11.38 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.17/11.38 inference(skolemize,[status(sab)],[755])).
% 11.17/11.38 tff(757,plain,
% 11.17/11.38 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[756, 752])).
% 11.17/11.38 tff(758,plain,
% 11.17/11.38 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))),
% 11.17/11.38 inference(rewrite,[status(thm)],[])).
% 11.17/11.38 tff(759,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))),
% 11.17/11.38 inference(quant_inst,[status(thm)],[])).
% 11.17/11.38 tff(760,plain,
% 11.17/11.38 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2))),
% 11.17/11.38 inference(modus_ponens,[status(thm)],[759, 758])).
% 11.17/11.38 tff(761,plain,
% 11.17/11.38 (~node137(c_s, s2)),
% 11.17/11.38 inference(unit_resolution,[status(thm)],[760, 757, 736])).
% 11.17/11.38 tff(762,plain,
% 11.17/11.38 (^[I0: $i, X: $i] : refl(((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(763,plain,
% 11.17/11.39 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[762])).
% 11.17/11.39 tff(764,plain,
% 11.17/11.39 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(765,axiom,(![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_49')).
% 11.17/11.39 tff(766,plain,
% 11.17/11.39 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[765, 764])).
% 11.17/11.39 tff(767,plain,(
% 11.17/11.39 ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.39 inference(skolemize,[status(sab)],[766])).
% 11.17/11.39 tff(768,plain,
% 11.17/11.39 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[767, 763])).
% 11.17/11.39 tff(769,plain,
% 11.17/11.39 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(770,plain,
% 11.17/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~m_state_v_a2ext(c_s, s2, c_retracted)))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(771,plain,
% 11.17/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~m_state_v_a2ext(c_s, s2, c_retracted))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[770, 769])).
% 11.17/11.39 tff(772,plain,
% 11.17/11.39 (~m_state_v_a2ext(c_s, s2, c_a2ip)),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[771, 768, 725])).
% 11.17/11.39 tff(773,plain,
% 11.17/11.39 (^[X: $i, J0: $i] : refl(((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(774,plain,
% 11.17/11.39 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[773])).
% 11.17/11.39 tff(775,plain,
% 11.17/11.39 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(776,plain,
% 11.17/11.39 (^[X: $i, J0: $i] : rewrite((m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X))) <=> ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(777,plain,
% 11.17/11.39 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[776])).
% 11.17/11.39 tff(778,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_77')).
% 11.17/11.39 tff(779,plain,
% 11.17/11.39 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[778, 777])).
% 11.17/11.39 tff(780,plain,
% 11.17/11.39 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[779, 775])).
% 11.17/11.39 tff(781,plain,(
% 11.17/11.39 ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(skolemize,[status(sab)],[780])).
% 11.17/11.39 tff(782,plain,
% 11.17/11.39 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[781, 774])).
% 11.17/11.39 tff(783,plain,
% 11.17/11.39 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_a2ip))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(784,plain,
% 11.17/11.39 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_a2ip))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(785,plain,
% 11.17/11.39 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s2)) | m_state_v_a2ext(c_s, s2, c_a2ip)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[784, 783])).
% 11.17/11.39 tff(786,plain,
% 11.17/11.39 (~node134(c_s, s2)),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[785, 782, 772])).
% 11.17/11.39 tff(787,assumption,(~node141(c_s, s2, s3)), introduced(assumption)).
% 11.17/11.39 tff(788,plain,
% 11.17/11.39 (succ(s2, s3) <=> succ(s2, s3)),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(789,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 11.17/11.39 tff(790,plain,
% 11.17/11.39 (succ(s2, s3)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[789, 788])).
% 11.17/11.39 tff(791,plain,
% 11.17/11.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(792,plain,
% 11.17/11.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(793,plain,
% 11.17/11.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[792, 791])).
% 11.17/11.39 tff(794,plain,
% 11.17/11.39 (trans(s2, s3)),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[793, 790, 8])).
% 11.17/11.39 tff(795,plain,
% 11.17/11.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(796,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(797,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[796, 795])).
% 11.17/11.39 tff(798,plain,
% 11.17/11.39 ($false),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[797, 52, 49, 794, 787])).
% 11.17/11.39 tff(799,plain,(node141(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.39 tff(800,assumption,(~node145(c_s, s1, s2)), introduced(assumption)).
% 11.17/11.39 tff(801,plain,
% 11.17/11.39 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(802,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[801])).
% 11.17/11.39 tff(803,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(804,plain,
% 11.17/11.39 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(805,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[804])).
% 11.17/11.39 tff(806,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_118')).
% 11.17/11.39 tff(807,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[806, 805])).
% 11.17/11.39 tff(808,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[807, 803])).
% 11.17/11.39 tff(809,plain,(
% 11.17/11.39 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(skolemize,[status(sab)],[808])).
% 11.17/11.39 tff(810,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[809, 802])).
% 11.17/11.39 tff(811,plain,
% 11.17/11.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(812,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(813,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[812, 811])).
% 11.17/11.39 tff(814,plain,
% 11.17/11.39 ($false),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[813, 52, 810, 226, 800])).
% 11.17/11.39 tff(815,plain,(node145(c_s, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.39 tff(816,plain,
% 11.17/11.39 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(817,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[816])).
% 11.17/11.39 tff(818,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(819,plain,
% 11.17/11.39 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(820,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(quant_intro,[status(thm)],[819])).
% 11.17/11.39 tff(821,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_46')).
% 11.17/11.39 tff(822,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[821, 820])).
% 11.17/11.39 tff(823,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[822, 818])).
% 11.17/11.39 tff(824,plain,(
% 11.17/11.39 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(skolemize,[status(sab)],[823])).
% 11.17/11.39 tff(825,plain,
% 11.17/11.39 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[824, 817])).
% 11.17/11.39 tff(826,plain,
% 11.17/11.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(827,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(828,plain,
% 11.17/11.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[827, 826])).
% 11.17/11.39 tff(829,plain,
% 11.17/11.39 (node32(c_s, s0, s1)),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[828, 28, 825, 39])).
% 11.17/11.39 tff(830,assumption,(~m_state_v_A1M(c_s, s0, c_idle)), introduced(assumption)).
% 11.17/11.39 tff(831,plain,
% 11.17/11.39 (^[I0: $i] : refl(m_state_v_A1M(I0, s0, c_idle) <=> m_state_v_A1M(I0, s0, c_idle))),
% 11.17/11.39 inference(bind,[status(th)],[])).
% 11.17/11.39 tff(832,plain,
% 11.17/11.39 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.17/11.39 inference(quant_intro,[status(thm)],[831])).
% 11.17/11.39 tff(833,plain,
% 11.17/11.39 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.17/11.39 inference(rewrite,[status(thm)],[])).
% 11.17/11.39 tff(834,axiom,(![I0: $i] : m_state_v_A1M(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_87')).
% 11.17/11.39 tff(835,plain,
% 11.17/11.39 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[834, 833])).
% 11.17/11.39 tff(836,plain,(
% 11.17/11.39 ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.17/11.39 inference(skolemize,[status(sab)],[835])).
% 11.17/11.39 tff(837,plain,
% 11.17/11.39 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.17/11.39 inference(modus_ponens,[status(thm)],[836, 832])).
% 11.17/11.39 tff(838,plain,
% 11.17/11.39 ((~![I0: $i] : m_state_v_A1M(I0, s0, c_idle)) | m_state_v_A1M(c_s, s0, c_idle)),
% 11.17/11.39 inference(quant_inst,[status(thm)],[])).
% 11.17/11.39 tff(839,plain,
% 11.17/11.39 ($false),
% 11.17/11.39 inference(unit_resolution,[status(thm)],[838, 837, 830])).
% 11.17/11.39 tff(840,plain,(m_state_v_A1M(c_s, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.17/11.39 tff(841,plain,
% 11.17/11.39 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(842,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[841])).
% 11.24/11.39 tff(843,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(844,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_4')).
% 11.24/11.39 tff(845,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[844, 843])).
% 11.24/11.39 tff(846,plain,(
% 11.24/11.39 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(skolemize,[status(sab)],[845])).
% 11.24/11.39 tff(847,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[846, 842])).
% 11.24/11.39 tff(848,plain,
% 11.24/11.39 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(849,plain,
% 11.24/11.39 (((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle))) <=> ((~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(850,plain,
% 11.24/11.39 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract))))),
% 11.24/11.39 inference(monotonicity,[status(thm)],[849])).
% 11.24/11.39 tff(851,plain,
% 11.24/11.39 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract)))),
% 11.24/11.39 inference(transitivity,[status(thm)],[850, 848])).
% 11.24/11.39 tff(852,plain,
% 11.24/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.24/11.39 inference(quant_inst,[status(thm)],[])).
% 11.24/11.39 tff(853,plain,
% 11.24/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[852, 851])).
% 11.24/11.39 tff(854,plain,
% 11.24/11.39 (~m_state_v_A1M(c_s, s0, c_retract)),
% 11.24/11.39 inference(unit_resolution,[status(thm)],[853, 847, 840])).
% 11.24/11.39 tff(855,plain,
% 11.24/11.39 (^[X: $i, J0: $i] : refl(((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(856,plain,
% 11.24/11.39 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[855])).
% 11.24/11.39 tff(857,plain,
% 11.24/11.39 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(858,plain,
% 11.24/11.39 (^[X: $i, J0: $i] : rewrite((m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X))) <=> ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(859,plain,
% 11.24/11.39 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[858])).
% 11.24/11.39 tff(860,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_39')).
% 11.24/11.39 tff(861,plain,
% 11.24/11.39 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[860, 859])).
% 11.24/11.39 tff(862,plain,
% 11.24/11.39 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[861, 857])).
% 11.24/11.39 tff(863,plain,(
% 11.24/11.39 ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(skolemize,[status(sab)],[862])).
% 11.24/11.39 tff(864,plain,
% 11.24/11.39 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[863, 856])).
% 11.24/11.39 tff(865,plain,
% 11.24/11.39 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(866,plain,
% 11.24/11.39 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.24/11.39 inference(quant_inst,[status(thm)],[])).
% 11.24/11.39 tff(867,plain,
% 11.24/11.39 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress)),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[866, 865])).
% 11.24/11.39 tff(868,plain,
% 11.24/11.39 (~node30(c_s, s0)),
% 11.24/11.39 inference(unit_resolution,[status(thm)],[867, 864, 302])).
% 11.24/11.39 tff(869,plain,
% 11.24/11.39 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(870,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[869])).
% 11.24/11.39 tff(871,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(872,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_3')).
% 11.24/11.39 tff(873,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[872, 871])).
% 11.24/11.39 tff(874,plain,(
% 11.24/11.39 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(skolemize,[status(sab)],[873])).
% 11.24/11.39 tff(875,plain,
% 11.24/11.39 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[874, 870])).
% 11.24/11.39 tff(876,plain,
% 11.24/11.39 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(877,plain,
% 11.24/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.24/11.39 inference(quant_inst,[status(thm)],[])).
% 11.24/11.39 tff(878,plain,
% 11.24/11.39 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[877, 876])).
% 11.24/11.39 tff(879,plain,
% 11.24/11.39 ((~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle))),
% 11.24/11.39 inference(unit_resolution,[status(thm)],[878, 875])).
% 11.24/11.39 tff(880,plain,
% 11.24/11.39 (~m_state_v_A1M(c_s, s0, c_extend)),
% 11.24/11.39 inference(unit_resolution,[status(thm)],[879, 840])).
% 11.24/11.39 tff(881,plain,
% 11.24/11.39 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(882,plain,
% 11.24/11.39 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[881])).
% 11.24/11.39 tff(883,plain,
% 11.24/11.39 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(884,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_36')).
% 11.24/11.39 tff(885,plain,
% 11.24/11.39 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[884, 883])).
% 11.24/11.39 tff(886,plain,(
% 11.24/11.39 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.24/11.39 inference(skolemize,[status(sab)],[885])).
% 11.24/11.39 tff(887,plain,
% 11.24/11.39 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[886, 882])).
% 11.24/11.39 tff(888,plain,
% 11.24/11.39 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | ((~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(889,plain,
% 11.24/11.39 ((m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0))) <=> ((~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(890,plain,
% 11.24/11.39 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | ((~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend)))),
% 11.24/11.39 inference(monotonicity,[status(thm)],[889])).
% 11.24/11.39 tff(891,plain,
% 11.24/11.39 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend))),
% 11.24/11.39 inference(transitivity,[status(thm)],[890, 888])).
% 11.24/11.39 tff(892,plain,
% 11.24/11.39 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))),
% 11.24/11.39 inference(quant_inst,[status(thm)],[])).
% 11.24/11.39 tff(893,plain,
% 11.24/11.39 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (~node29(c_s, s0)) | m_state_v_A1M(c_s, s0, c_extend)),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[892, 891])).
% 11.24/11.39 tff(894,plain,
% 11.24/11.39 (~node29(c_s, s0)),
% 11.24/11.39 inference(unit_resolution,[status(thm)],[893, 887, 880])).
% 11.24/11.39 tff(895,plain,
% 11.24/11.39 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(896,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[895])).
% 11.24/11.39 tff(897,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(rewrite,[status(thm)],[])).
% 11.24/11.39 tff(898,plain,
% 11.24/11.39 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X))), ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) <=> ((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X)) | node31(J0, X, Y)))), rewrite(((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X)) | node31(J0, X, Y)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y))), ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)))), (((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> ((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)) | (~node32(J0, X, Y))))), rewrite(((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))), (((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))))),
% 11.24/11.39 inference(bind,[status(th)],[])).
% 11.24/11.39 tff(899,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(quant_intro,[status(thm)],[898])).
% 11.24/11.39 tff(900,axiom,(![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_45')).
% 11.24/11.39 tff(901,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[900, 899])).
% 11.24/11.39 tff(902,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(modus_ponens,[status(thm)],[901, 897])).
% 11.24/11.39 tff(903,plain,(
% 11.24/11.39 ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.39 inference(skolemize,[status(sab)],[902])).
% 11.24/11.39 tff(904,plain,
% 11.24/11.39 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[903, 896])).
% 11.24/11.40 tff(905,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(906,plain,
% 11.24/11.40 ((m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1))) <=> (node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(907,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1)))),
% 11.24/11.40 inference(monotonicity,[status(thm)],[906])).
% 11.24/11.40 tff(908,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1))),
% 11.24/11.40 inference(transitivity,[status(thm)],[907, 905])).
% 11.24/11.40 tff(909,plain,
% 11.24/11.40 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(910,plain,
% 11.24/11.40 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node29(c_s, s0) | node30(c_s, s0) | m_state_v_A1M(c_s, s0, c_retract) | (~node32(c_s, s0, s1)) | node31(c_s, s0, s1)),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[909, 908])).
% 11.24/11.40 tff(911,plain,
% 11.24/11.40 (node31(c_s, s0, s1)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[910, 904, 894, 868, 854, 829])).
% 11.24/11.40 tff(912,plain,
% 11.24/11.40 (^[I0: $i] : refl(m_state_v_a1ext(I0, s0, c_retracted) <=> m_state_v_a1ext(I0, s0, c_retracted))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(913,plain,
% 11.24/11.40 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.24/11.40 inference(quant_intro,[status(thm)],[912])).
% 11.24/11.40 tff(914,plain,
% 11.24/11.40 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(915,axiom,(![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_90')).
% 11.24/11.40 tff(916,plain,
% 11.24/11.40 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[915, 914])).
% 11.24/11.40 tff(917,plain,(
% 11.24/11.40 ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.24/11.40 inference(skolemize,[status(sab)],[916])).
% 11.24/11.40 tff(918,plain,
% 11.24/11.40 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[917, 913])).
% 11.24/11.40 tff(919,plain,
% 11.24/11.40 ((~![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)) | m_state_v_a1ext(c_s, s0, c_retracted)),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(920,plain,
% 11.24/11.40 (m_state_v_a1ext(c_s, s0, c_retracted)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[919, 918])).
% 11.24/11.40 tff(921,plain,
% 11.24/11.40 (^[I0: $i, X: $i] : refl(((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(922,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[921])).
% 11.24/11.40 tff(923,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(924,axiom,(![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_45')).
% 11.24/11.40 tff(925,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[924, 923])).
% 11.24/11.40 tff(926,plain,(
% 11.24/11.40 ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[925])).
% 11.24/11.40 tff(927,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[926, 922])).
% 11.24/11.40 tff(928,plain,
% 11.24/11.40 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(929,plain,
% 11.24/11.40 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(930,plain,
% 11.24/11.40 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[929, 928])).
% 11.24/11.40 tff(931,plain,
% 11.24/11.40 (~m_state_v_a1ext(c_s, s0, c_a1ip)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[930, 927, 920])).
% 11.24/11.40 tff(932,plain,
% 11.24/11.40 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(933,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[932])).
% 11.24/11.40 tff(934,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(935,plain,
% 11.24/11.40 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(936,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[935])).
% 11.24/11.40 tff(937,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_41')).
% 11.24/11.40 tff(938,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[937, 936])).
% 11.24/11.40 tff(939,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[938, 934])).
% 11.24/11.40 tff(940,plain,(
% 11.24/11.40 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[939])).
% 11.24/11.40 tff(941,plain,
% 11.24/11.40 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[940, 933])).
% 11.24/11.40 tff(942,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(943,plain,
% 11.24/11.40 (((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip))) <=> ((~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(944,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1))))),
% 11.24/11.40 inference(monotonicity,[status(thm)],[943])).
% 11.24/11.40 tff(945,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(transitivity,[status(thm)],[944, 942])).
% 11.24/11.40 tff(946,plain,
% 11.24/11.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(947,plain,
% 11.24/11.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~node31(c_s, s0, s1))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[946, 945])).
% 11.24/11.40 tff(948,plain,
% 11.24/11.40 (~m_state_v_a1ext(c_s, s1, c_a1ip)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[947, 941, 931, 911])).
% 11.24/11.40 tff(949,plain,
% 11.24/11.40 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(950,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[949])).
% 11.24/11.40 tff(951,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(952,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_112')).
% 11.24/11.40 tff(953,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[952, 951])).
% 11.24/11.40 tff(954,plain,(
% 11.24/11.40 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[953])).
% 11.24/11.40 tff(955,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[954, 950])).
% 11.24/11.40 tff(956,plain,
% 11.24/11.40 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(957,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(958,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[957, 956])).
% 11.24/11.40 tff(959,plain,
% 11.24/11.40 (~node143(c_s, s1)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[958, 955, 948])).
% 11.24/11.40 tff(960,plain,
% 11.24/11.40 (^[I0: $i, X: $i] : refl(((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(961,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[960])).
% 11.24/11.40 tff(962,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(963,axiom,(![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_46')).
% 11.24/11.40 tff(964,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[963, 962])).
% 11.24/11.40 tff(965,plain,(
% 11.24/11.40 ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[964])).
% 11.24/11.40 tff(966,plain,
% 11.24/11.40 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[965, 961])).
% 11.24/11.40 tff(967,plain,
% 11.24/11.40 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(968,plain,
% 11.24/11.40 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(969,plain,
% 11.24/11.40 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[968, 967])).
% 11.24/11.40 tff(970,plain,
% 11.24/11.40 (~m_state_v_a1ext(c_s, s0, c_ot)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[969, 966, 920])).
% 11.24/11.40 tff(971,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(972,plain,
% 11.24/11.40 (((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot))) <=> (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(973,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1))))),
% 11.24/11.40 inference(monotonicity,[status(thm)],[972])).
% 11.24/11.40 tff(974,plain,
% 11.24/11.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.24/11.40 inference(transitivity,[status(thm)],[973, 971])).
% 11.24/11.40 tff(975,plain,
% 11.24/11.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(976,plain,
% 11.24/11.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[975, 974])).
% 11.24/11.40 tff(977,plain,
% 11.24/11.40 (~m_state_v_a1ext(c_s, s1, c_ot)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[976, 941, 970, 911])).
% 11.24/11.40 tff(978,plain,
% 11.24/11.40 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(979,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[978])).
% 11.24/11.40 tff(980,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(981,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_109')).
% 11.24/11.40 tff(982,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[981, 980])).
% 11.24/11.40 tff(983,plain,(
% 11.24/11.40 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[982])).
% 11.24/11.40 tff(984,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[983, 979])).
% 11.24/11.40 tff(985,plain,
% 11.24/11.40 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(986,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(987,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[986, 985])).
% 11.24/11.40 tff(988,plain,
% 11.24/11.40 (~node142(c_s, s1)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[987, 984, 977])).
% 11.24/11.40 tff(989,plain,
% 11.24/11.40 (^[Y: $i, X: $i, J0: $i] : refl((node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(990,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[989])).
% 11.24/11.40 tff(991,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(992,plain,
% 11.24/11.40 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y))), ((((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> ((node143(J0, X) | node142(J0, X) | node144(J0, X, Y)) | (~node145(J0, X, Y))))), rewrite(((node143(J0, X) | node142(J0, X) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))), ((((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(993,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[992])).
% 11.24/11.40 tff(994,axiom,(![Y: $i, X: $i, J0: $i] : (((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_117')).
% 11.24/11.40 tff(995,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[994, 993])).
% 11.24/11.40 tff(996,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[995, 991])).
% 11.24/11.40 tff(997,plain,(
% 11.24/11.40 ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[996])).
% 11.24/11.40 tff(998,plain,
% 11.24/11.40 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[997, 990])).
% 11.24/11.40 tff(999,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1000,plain,
% 11.24/11.40 ((node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2))) <=> (node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1001,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2))))),
% 11.24/11.40 inference(monotonicity,[status(thm)],[1000])).
% 11.24/11.40 tff(1002,plain,
% 11.24/11.40 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2)))),
% 11.24/11.40 inference(transitivity,[status(thm)],[1001, 999])).
% 11.24/11.40 tff(1003,plain,
% 11.24/11.40 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(1004,plain,
% 11.24/11.40 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node144(c_s, s1, s2) | node143(c_s, s1) | node142(c_s, s1) | (~node145(c_s, s1, s2))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 11.24/11.40 tff(1005,plain,
% 11.24/11.40 (node144(c_s, s1, s2)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[1004, 998, 988, 959, 815])).
% 11.24/11.40 tff(1006,plain,
% 11.24/11.40 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1007,plain,
% 11.24/11.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(1008,plain,
% 11.24/11.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1)),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 11.24/11.40 tff(1009,plain,
% 11.24/11.40 (node145(c_s, s0, s1)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[1008, 52, 810, 39])).
% 11.24/11.40 tff(1010,plain,
% 11.24/11.40 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(1011,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[1010])).
% 11.24/11.40 tff(1012,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1013,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_108')).
% 11.24/11.40 tff(1014,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 11.24/11.40 tff(1015,plain,(
% 11.24/11.40 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.24/11.40 inference(skolemize,[status(sab)],[1014])).
% 11.24/11.40 tff(1016,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[1015, 1011])).
% 11.24/11.40 tff(1017,plain,
% 11.24/11.40 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1018,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))),
% 11.24/11.40 inference(quant_inst,[status(thm)],[])).
% 11.24/11.40 tff(1019,plain,
% 11.24/11.40 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0))),
% 11.24/11.40 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 11.24/11.40 tff(1020,plain,
% 11.24/11.40 (~node142(c_s, s0)),
% 11.24/11.40 inference(unit_resolution,[status(thm)],[1019, 1016, 880])).
% 11.24/11.40 tff(1021,plain,
% 11.24/11.40 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))))),
% 11.24/11.40 inference(bind,[status(th)],[])).
% 11.24/11.40 tff(1022,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 11.24/11.40 inference(quant_intro,[status(thm)],[1021])).
% 11.24/11.40 tff(1023,plain,
% 11.24/11.40 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 11.24/11.40 inference(rewrite,[status(thm)],[])).
% 11.24/11.40 tff(1024,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_110')).
% 11.24/11.41 tff(1025,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 11.24/11.41 tff(1026,plain,(
% 11.24/11.41 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 11.24/11.41 inference(skolemize,[status(sab)],[1025])).
% 11.24/11.41 tff(1027,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1026, 1022])).
% 11.24/11.41 tff(1028,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node143(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node143(c_s, s0)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1029,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node143(c_s, s0)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1030,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node143(c_s, s0))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 11.24/11.41 tff(1031,plain,
% 11.24/11.41 (~node143(c_s, s0)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1030, 1027, 302])).
% 11.24/11.41 tff(1032,plain,
% 11.24/11.41 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1033,plain,
% 11.24/11.41 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1034,plain,
% 11.24/11.41 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 11.24/11.41 tff(1035,plain,
% 11.24/11.41 (node144(c_s, s0, s1)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1034, 998, 1031, 1020, 1009])).
% 11.24/11.41 tff(1036,plain,
% 11.24/11.41 (^[I0: $i] : refl(m_state_v_A1Mag(I0, s0, c_off) <=> m_state_v_A1Mag(I0, s0, c_off))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1037,plain,
% 11.24/11.41 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1036])).
% 11.24/11.41 tff(1038,plain,
% 11.24/11.41 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1039,axiom,(![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_94')).
% 11.24/11.41 tff(1040,plain,
% 11.24/11.41 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 11.24/11.41 tff(1041,plain,(
% 11.24/11.41 ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.24/11.41 inference(skolemize,[status(sab)],[1040])).
% 11.24/11.41 tff(1042,plain,
% 11.24/11.41 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1041, 1037])).
% 11.24/11.41 tff(1043,plain,
% 11.24/11.41 ((~![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)) | m_state_v_A1Mag(c_s, s0, c_off)),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1044,plain,
% 11.24/11.41 (m_state_v_A1Mag(c_s, s0, c_off)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1043, 1042])).
% 11.24/11.41 tff(1045,plain,
% 11.24/11.41 (^[I0: $i, X: $i] : refl(((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1046,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1045])).
% 11.24/11.41 tff(1047,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1048,plain,
% 11.24/11.41 (^[I0: $i, X: $i] : rewrite(((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off))) <=> ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1049,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1048])).
% 11.24/11.41 tff(1050,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_6')).
% 11.24/11.41 tff(1051,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 11.24/11.41 tff(1052,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1051, 1047])).
% 11.24/11.41 tff(1053,plain,(
% 11.24/11.41 ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(skolemize,[status(sab)],[1052])).
% 11.24/11.41 tff(1054,plain,
% 11.24/11.41 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1053, 1046])).
% 11.24/11.41 tff(1055,plain,
% 11.24/11.41 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1056,plain,
% 11.24/11.41 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1057,plain,
% 11.24/11.41 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 11.24/11.41 tff(1058,plain,
% 11.24/11.41 (~m_state_v_A1Mag(c_s, s0, c_on)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1057, 1054, 1044])).
% 11.24/11.41 tff(1059,plain,
% 11.24/11.41 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1060,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1059])).
% 11.24/11.41 tff(1061,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1062,plain,
% 11.24/11.41 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1063,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1062])).
% 11.24/11.41 tff(1064,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_114')).
% 11.24/11.41 tff(1065,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 11.24/11.41 tff(1066,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1065, 1061])).
% 11.24/11.41 tff(1067,plain,(
% 11.24/11.41 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(skolemize,[status(sab)],[1066])).
% 11.24/11.41 tff(1068,plain,
% 11.24/11.41 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1067, 1060])).
% 11.24/11.41 tff(1069,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1070,plain,
% 11.24/11.41 (((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on))) <=> (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1071,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1))))),
% 11.24/11.41 inference(monotonicity,[status(thm)],[1070])).
% 11.24/11.41 tff(1072,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.24/11.41 inference(transitivity,[status(thm)],[1071, 1069])).
% 11.24/11.41 tff(1073,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1074,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 11.24/11.41 tff(1075,plain,
% 11.24/11.41 ((~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1))),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1074, 1068, 1058])).
% 11.24/11.41 tff(1076,plain,
% 11.24/11.41 (~m_state_v_A1Mag(c_s, s1, c_on)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1075, 1035])).
% 11.24/11.41 tff(1077,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1078,plain,
% 11.24/11.41 (((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on))) <=> (m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1079,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on))))),
% 11.24/11.41 inference(monotonicity,[status(thm)],[1078])).
% 11.24/11.41 tff(1080,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(transitivity,[status(thm)],[1079, 1077])).
% 11.24/11.41 tff(1081,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1082,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 11.24/11.41 tff(1083,plain,
% 11.24/11.41 (~m_state_v_A1Mag(c_s, s2, c_on)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1082, 1068, 1076, 1005])).
% 11.24/11.41 tff(1084,plain,
% 11.24/11.41 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))))),
% 11.24/11.41 inference(bind,[status(th)],[])).
% 11.24/11.41 tff(1085,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 11.24/11.41 inference(quant_intro,[status(thm)],[1084])).
% 11.24/11.41 tff(1086,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1087,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_61')).
% 11.24/11.41 tff(1088,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 11.24/11.41 tff(1089,plain,(
% 11.24/11.41 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 11.24/11.41 inference(skolemize,[status(sab)],[1088])).
% 11.24/11.41 tff(1090,plain,
% 11.24/11.41 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1089, 1085])).
% 11.24/11.41 tff(1091,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | ((~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1092,plain,
% 11.24/11.41 ((m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2))) <=> ((~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1093,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | ((~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(monotonicity,[status(thm)],[1092])).
% 11.24/11.41 tff(1094,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(transitivity,[status(thm)],[1093, 1091])).
% 11.24/11.41 tff(1095,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1096,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 11.24/11.41 tff(1097,plain,
% 11.24/11.41 (~node132(c_s, s2)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1096, 1090, 1083])).
% 11.24/11.41 tff(1098,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node147(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node147(c_s, s1)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1099,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node147(c_s, s1)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1100,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node147(c_s, s1))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 11.24/11.41 tff(1101,plain,
% 11.24/11.41 (~node147(c_s, s1)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1100, 410, 366])).
% 11.24/11.41 tff(1102,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node146(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node146(c_s, s1)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1103,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node146(c_s, s1)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1104,plain,
% 11.24/11.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node146(c_s, s1))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 11.24/11.41 tff(1105,plain,
% 11.24/11.41 (~node146(c_s, s1)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1104, 399, 347])).
% 11.24/11.41 tff(1106,plain,
% 11.24/11.41 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1107,plain,
% 11.24/11.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1108,plain,
% 11.24/11.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2)),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 11.24/11.41 tff(1109,plain,
% 11.24/11.41 (node149(c_s, s1, s2)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1108, 52, 388, 226])).
% 11.24/11.41 tff(1110,plain,
% 11.24/11.41 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1111,plain,
% 11.24/11.41 ((node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2))) <=> (node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1112,plain,
% 11.24/11.41 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2))))),
% 11.24/11.41 inference(monotonicity,[status(thm)],[1111])).
% 11.24/11.41 tff(1113,plain,
% 11.24/11.41 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.24/11.41 inference(transitivity,[status(thm)],[1112, 1110])).
% 11.24/11.41 tff(1114,plain,
% 11.24/11.41 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1115,plain,
% 11.24/11.41 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 11.24/11.41 tff(1116,plain,
% 11.24/11.41 (node147(c_s, s1) | node146(c_s, s1) | node148(c_s, s1, s2)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1115, 424, 1109])).
% 11.24/11.41 tff(1117,plain,
% 11.24/11.41 (node148(c_s, s1, s2)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1116, 1105, 1101])).
% 11.24/11.41 tff(1118,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1119,plain,
% 11.24/11.41 (((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on))) <=> (m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1120,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on))))),
% 11.24/11.41 inference(monotonicity,[status(thm)],[1119])).
% 11.24/11.41 tff(1121,plain,
% 11.24/11.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(transitivity,[status(thm)],[1120, 1118])).
% 11.24/11.41 tff(1122,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.24/11.41 inference(quant_inst,[status(thm)],[])).
% 11.24/11.41 tff(1123,plain,
% 11.24/11.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 11.24/11.41 tff(1124,plain,
% 11.24/11.41 (~m_state_v_A2Mag(c_s, s2, c_on)),
% 11.24/11.41 inference(unit_resolution,[status(thm)],[1123, 464, 471, 1117])).
% 11.24/11.41 tff(1125,plain,
% 11.24/11.41 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.41 inference(rewrite,[status(thm)],[])).
% 11.24/11.41 tff(1126,plain,
% 11.24/11.41 ((m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2))) <=> ((~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1127,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.24/11.42 inference(monotonicity,[status(thm)],[1126])).
% 11.24/11.42 tff(1128,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.42 inference(transitivity,[status(thm)],[1127, 1125])).
% 11.24/11.42 tff(1129,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1130,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 11.24/11.42 tff(1131,plain,
% 11.24/11.42 (~node136(c_s, s2)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1130, 478, 1124])).
% 11.24/11.42 tff(1132,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1133,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1134,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 11.24/11.42 tff(1135,plain,
% 11.24/11.42 (~node133(c_s, s2)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1134, 493, 1124])).
% 11.24/11.42 tff(1136,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1137,plain,
% 11.24/11.42 ((node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))) <=> (node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1138,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))))),
% 11.24/11.42 inference(monotonicity,[status(thm)],[1137])).
% 11.24/11.42 tff(1139,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 11.24/11.42 inference(transitivity,[status(thm)],[1138, 1136])).
% 11.24/11.42 tff(1140,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1141,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 11.24/11.42 tff(1142,plain,
% 11.24/11.42 (node139(c_s, s2) | node138(c_s, s2) | node134(c_s, s2) | node137(c_s, s2) | node135(c_s, s2) | node140(c_s, s2, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1141, 185, 1135, 1131, 1097, 799])).
% 11.24/11.42 tff(1143,plain,
% 11.24/11.42 (node139(c_s, s2) | node138(c_s, s2) | node140(c_s, s2, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1142, 786, 761, 750])).
% 11.24/11.42 tff(1144,plain,
% 11.24/11.42 ($false),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1143, 564, 553, 528])).
% 11.24/11.42 tff(1145,plain,((~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.24/11.42 tff(1146,plain,
% 11.24/11.42 (m_state_v_A2M(c_s, s3, c_idle)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1145, 516])).
% 11.24/11.42 tff(1147,plain,
% 11.24/11.42 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s3, c_extend)) | (~m_state_v_A2M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s3, c_extend)) | (~m_state_v_A2M(c_s, s3, c_idle)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1148,plain,
% 11.24/11.42 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s3, c_extend)) | (~m_state_v_A2M(c_s, s3, c_idle)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1149,plain,
% 11.24/11.42 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s3, c_extend)) | (~m_state_v_A2M(c_s, s3, c_idle))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 11.24/11.42 tff(1150,plain,
% 11.24/11.42 (~m_state_v_A2M(c_s, s3, c_extend)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1149, 670, 1146])).
% 11.24/11.42 tff(1151,plain,
% 11.24/11.42 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))))),
% 11.24/11.42 inference(bind,[status(th)],[])).
% 11.24/11.42 tff(1152,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 11.24/11.42 inference(quant_intro,[status(thm)],[1151])).
% 11.24/11.42 tff(1153,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1154,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_120')).
% 11.24/11.42 tff(1155,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 11.24/11.42 tff(1156,plain,(
% 11.24/11.42 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 11.24/11.42 inference(skolemize,[status(sab)],[1155])).
% 11.24/11.42 tff(1157,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1156, 1152])).
% 11.24/11.42 tff(1158,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1159,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1160,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 11.24/11.42 tff(1161,plain,
% 11.24/11.42 (~node146(c_s, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1160, 1157, 1150])).
% 11.24/11.42 tff(1162,plain,
% 11.24/11.42 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))))),
% 11.24/11.42 inference(bind,[status(th)],[])).
% 11.24/11.42 tff(1163,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 11.24/11.42 inference(quant_intro,[status(thm)],[1162])).
% 11.24/11.42 tff(1164,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1165,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_123')).
% 11.24/11.42 tff(1166,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 11.24/11.42 tff(1167,plain,(
% 11.24/11.42 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 11.24/11.42 inference(skolemize,[status(sab)],[1166])).
% 11.24/11.42 tff(1168,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1167, 1163])).
% 11.24/11.42 tff(1169,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1170,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1171,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 11.24/11.42 tff(1172,plain,
% 11.24/11.42 (~node147(c_s, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1171, 1168, 1150])).
% 11.24/11.42 tff(1173,plain,
% 11.24/11.42 (succ(s3, s4) <=> succ(s3, s4)),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1174,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 11.24/11.42 tff(1175,plain,
% 11.24/11.42 (succ(s3, s4)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 11.24/11.42 tff(1176,plain,
% 11.24/11.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1177,plain,
% 11.24/11.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1178,plain,
% 11.24/11.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 11.24/11.42 tff(1179,plain,
% 11.24/11.42 (trans(s3, s4)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1178, 1175, 8])).
% 11.24/11.42 tff(1180,plain,
% 11.24/11.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1181,plain,
% 11.24/11.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1182,plain,
% 11.24/11.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 11.24/11.42 tff(1183,plain,
% 11.24/11.42 (node149(c_s, s3, s4)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1182, 52, 388, 1179])).
% 11.24/11.42 tff(1184,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1185,plain,
% 11.24/11.42 ((node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))) <=> (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1186,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))))),
% 11.24/11.42 inference(monotonicity,[status(thm)],[1185])).
% 11.24/11.42 tff(1187,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 11.24/11.42 inference(transitivity,[status(thm)],[1186, 1184])).
% 11.24/11.42 tff(1188,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1189,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 11.24/11.42 tff(1190,plain,
% 11.24/11.42 (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1189, 424, 1183])).
% 11.24/11.42 tff(1191,plain,
% 11.24/11.42 (node148(c_s, s3, s4)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1190, 1172, 1161])).
% 11.24/11.42 tff(1192,plain,
% 11.24/11.42 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))))),
% 11.24/11.42 inference(bind,[status(th)],[])).
% 11.24/11.42 tff(1193,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.24/11.42 inference(quant_intro,[status(thm)],[1192])).
% 11.24/11.42 tff(1194,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1195,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_121')).
% 11.24/11.42 tff(1196,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 11.24/11.42 tff(1197,plain,(
% 11.24/11.42 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.24/11.42 inference(skolemize,[status(sab)],[1196])).
% 11.24/11.42 tff(1198,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1197, 1193])).
% 11.24/11.42 tff(1199,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_a2ip) | (~node146(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node146(c_s, s2)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1200,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_a2ip) | (~node146(c_s, s2)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1201,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node146(c_s, s2))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 11.24/11.42 tff(1202,plain,
% 11.24/11.42 (~node146(c_s, s2)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1201, 1198, 772])).
% 11.24/11.42 tff(1203,plain,
% 11.24/11.42 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))))),
% 11.24/11.42 inference(bind,[status(th)],[])).
% 11.24/11.42 tff(1204,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.24/11.42 inference(quant_intro,[status(thm)],[1203])).
% 11.24/11.42 tff(1205,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1206,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_124')).
% 11.24/11.42 tff(1207,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 11.24/11.42 tff(1208,plain,(
% 11.24/11.42 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.24/11.42 inference(skolemize,[status(sab)],[1207])).
% 11.24/11.42 tff(1209,plain,
% 11.24/11.42 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1208, 1204])).
% 11.24/11.42 tff(1210,plain,
% 11.24/11.42 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node147(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node147(c_s, s2)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1211,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node147(c_s, s2)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1212,plain,
% 11.24/11.42 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node147(c_s, s2))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 11.24/11.42 tff(1213,plain,
% 11.24/11.42 (~node147(c_s, s2)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1212, 1209, 736])).
% 11.24/11.42 tff(1214,plain,
% 11.24/11.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1215,plain,
% 11.24/11.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1216,plain,
% 11.24/11.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 11.24/11.42 tff(1217,plain,
% 11.24/11.42 (node149(c_s, s2, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1216, 52, 388, 794])).
% 11.24/11.42 tff(1218,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1219,plain,
% 11.24/11.42 ((node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3))) <=> (node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1220,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3)))),
% 11.24/11.42 inference(monotonicity,[status(thm)],[1219])).
% 11.24/11.42 tff(1221,plain,
% 11.24/11.42 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3))),
% 11.24/11.42 inference(transitivity,[status(thm)],[1220, 1218])).
% 11.24/11.42 tff(1222,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1223,plain,
% 11.24/11.42 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s2) | node147(c_s, s2) | (~node149(c_s, s2, s3)) | node148(c_s, s2, s3)),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 11.24/11.42 tff(1224,plain,
% 11.24/11.42 (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1223, 424, 1217])).
% 11.24/11.42 tff(1225,plain,
% 11.24/11.42 (node148(c_s, s2, s3)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1224, 1213, 1202])).
% 11.24/11.42 tff(1226,plain,
% 11.24/11.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1227,plain,
% 11.24/11.42 (((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on))) <=> ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1228,plain,
% 11.24/11.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3))))),
% 11.24/11.42 inference(monotonicity,[status(thm)],[1227])).
% 11.24/11.42 tff(1229,plain,
% 11.24/11.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 11.24/11.42 inference(transitivity,[status(thm)],[1228, 1226])).
% 11.24/11.42 tff(1230,plain,
% 11.24/11.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))),
% 11.24/11.42 inference(quant_inst,[status(thm)],[])).
% 11.24/11.42 tff(1231,plain,
% 11.24/11.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3))),
% 11.24/11.42 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 11.24/11.42 tff(1232,plain,
% 11.24/11.42 (~m_state_v_A2Mag(c_s, s3, c_on)),
% 11.24/11.42 inference(unit_resolution,[status(thm)],[1231, 464, 1124, 1225])).
% 11.24/11.42 tff(1233,plain,
% 11.24/11.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1234,plain,
% 11.24/11.42 (((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on))) <=> (m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4)))),
% 11.24/11.42 inference(rewrite,[status(thm)],[])).
% 11.24/11.42 tff(1235,plain,
% 11.24/11.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4))))),
% 11.24/11.43 inference(monotonicity,[status(thm)],[1234])).
% 11.24/11.43 tff(1236,plain,
% 11.24/11.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4)))),
% 11.24/11.43 inference(transitivity,[status(thm)],[1235, 1233])).
% 11.24/11.43 tff(1237,plain,
% 11.24/11.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))),
% 11.24/11.43 inference(quant_inst,[status(thm)],[])).
% 11.24/11.43 tff(1238,plain,
% 11.24/11.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)) | (~node148(c_s, s3, s4))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 11.24/11.43 tff(1239,plain,
% 11.24/11.43 (~m_state_v_A2Mag(c_s, s4, c_on)),
% 11.24/11.43 inference(unit_resolution,[status(thm)],[1238, 464, 1232, 1191])).
% 11.24/11.43 tff(1240,plain,
% 11.24/11.43 (^[X: $i, J0: $i] : refl((m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))))),
% 11.24/11.43 inference(bind,[status(th)],[])).
% 11.24/11.43 tff(1241,plain,
% 11.24/11.43 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.24/11.43 inference(quant_intro,[status(thm)],[1240])).
% 11.24/11.43 tff(1242,plain,
% 11.24/11.43 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.24/11.43 inference(rewrite,[status(thm)],[])).
% 11.24/11.43 tff(1243,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_157')).
% 11.24/11.43 tff(1244,plain,
% 11.24/11.43 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 11.24/11.43 tff(1245,plain,(
% 11.24/11.43 ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.24/11.43 inference(skolemize,[status(sab)],[1244])).
% 11.24/11.43 tff(1246,plain,
% 11.24/11.43 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1245, 1241])).
% 11.24/11.43 tff(1247,plain,
% 11.24/11.43 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))),
% 11.24/11.43 inference(rewrite,[status(thm)],[])).
% 11.24/11.43 tff(1248,plain,
% 11.24/11.43 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))),
% 11.24/11.43 inference(quant_inst,[status(thm)],[])).
% 11.24/11.43 tff(1249,plain,
% 11.24/11.43 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 11.24/11.43 tff(1250,plain,
% 11.24/11.43 (~node155(c_s, s4)),
% 11.24/11.43 inference(unit_resolution,[status(thm)],[1249, 1246, 1239])).
% 11.24/11.43 tff(1251,plain,
% 11.24/11.43 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)))),
% 11.24/11.43 inference(bind,[status(th)],[])).
% 11.24/11.43 tff(1252,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(quant_intro,[status(thm)],[1251])).
% 11.24/11.43 tff(1253,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(rewrite,[status(thm)],[])).
% 11.24/11.43 tff(1254,plain,
% 11.24/11.43 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))), (((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))))),
% 11.24/11.43 inference(bind,[status(th)],[])).
% 11.24/11.43 tff(1255,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(quant_intro,[status(thm)],[1254])).
% 11.24/11.43 tff(1256,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_186')).
% 11.24/11.43 tff(1257,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 11.24/11.43 tff(1258,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1257, 1253])).
% 11.24/11.43 tff(1259,plain,(
% 11.24/11.43 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(skolemize,[status(sab)],[1258])).
% 11.24/11.43 tff(1260,plain,
% 11.24/11.43 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1259, 1252])).
% 11.24/11.43 tff(1261,plain,
% 11.24/11.43 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))),
% 11.24/11.43 inference(rewrite,[status(thm)],[])).
% 11.24/11.43 tff(1262,plain,
% 11.24/11.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))),
% 11.24/11.43 inference(quant_inst,[status(thm)],[])).
% 11.24/11.43 tff(1263,plain,
% 11.24/11.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1)),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 11.24/11.43 tff(1264,plain,
% 11.24/11.43 (node159(c_s, s0, s1)),
% 11.24/11.43 inference(unit_resolution,[status(thm)],[1263, 52, 1260, 39])).
% 11.24/11.43 tff(1265,plain,
% 11.24/11.43 (^[I0: $i, X: $i] : refl(((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))))),
% 11.24/11.43 inference(bind,[status(th)],[])).
% 11.24/11.43 tff(1266,plain,
% 11.24/11.43 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.24/11.43 inference(quant_intro,[status(thm)],[1265])).
% 11.24/11.43 tff(1267,plain,
% 11.24/11.43 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.24/11.43 inference(rewrite,[status(thm)],[])).
% 11.24/11.43 tff(1268,axiom,(![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_33')).
% 11.24/11.43 tff(1269,plain,
% 11.24/11.43 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.24/11.43 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 11.24/11.43 tff(1270,plain,(
% 11.24/11.43 ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1269])).
% 11.24/11.44 tff(1271,plain,
% 11.24/11.44 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1270, 1266])).
% 11.24/11.44 tff(1272,plain,
% 11.24/11.44 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1273,plain,
% 11.24/11.44 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1274,plain,
% 11.24/11.44 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 11.24/11.44 tff(1275,plain,
% 11.24/11.44 (~m_state_v_RRM(c_s, s0, c_clockwise)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1274, 1271, 244])).
% 11.24/11.44 tff(1276,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1277,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1276])).
% 11.24/11.44 tff(1278,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1279,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_171')).
% 11.24/11.44 tff(1280,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1279, 1278])).
% 11.24/11.44 tff(1281,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1280])).
% 11.24/11.44 tff(1282,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1281, 1277])).
% 11.24/11.44 tff(1283,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1284,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1285,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 11.24/11.44 tff(1286,plain,
% 11.24/11.44 (~node157(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1285, 1282, 1275])).
% 11.24/11.44 tff(1287,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1288,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1287])).
% 11.24/11.44 tff(1289,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1290,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_134')).
% 11.24/11.44 tff(1291,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 11.24/11.44 tff(1292,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1291])).
% 11.24/11.44 tff(1293,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1292, 1288])).
% 11.24/11.44 tff(1294,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1295,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1296,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 11.24/11.44 tff(1297,plain,
% 11.24/11.44 (~node151(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1296, 1293, 76])).
% 11.24/11.44 tff(1298,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1299,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1298])).
% 11.24/11.44 tff(1300,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1301,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_150')).
% 11.24/11.44 tff(1302,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 11.24/11.44 tff(1303,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1302])).
% 11.24/11.44 tff(1304,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1303, 1299])).
% 11.24/11.44 tff(1305,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1306,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1307,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 11.24/11.44 tff(1308,plain,
% 11.24/11.44 (~node154(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1307, 1304, 76])).
% 11.24/11.44 tff(1309,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1310,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1309])).
% 11.24/11.44 tff(1311,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1312,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_137')).
% 11.24/11.44 tff(1313,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 11.24/11.44 tff(1314,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1313])).
% 11.24/11.44 tff(1315,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1314, 1310])).
% 11.24/11.44 tff(1316,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1317,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1318,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 11.24/11.44 tff(1319,plain,
% 11.24/11.44 (~node152(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1318, 1315, 131])).
% 11.24/11.44 tff(1320,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1321,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1320])).
% 11.24/11.44 tff(1322,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1323,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_158')).
% 11.24/11.44 tff(1324,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 11.24/11.44 tff(1325,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1324])).
% 11.24/11.44 tff(1326,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1325, 1321])).
% 11.24/11.44 tff(1327,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1328,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1329,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 11.24/11.44 tff(1330,plain,
% 11.24/11.44 (~node155(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1329, 1326, 131])).
% 11.24/11.44 tff(1331,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1332,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1331])).
% 11.24/11.44 tff(1333,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1334,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_140')).
% 11.24/11.44 tff(1335,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 11.24/11.44 tff(1336,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1335])).
% 11.24/11.44 tff(1337,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1336, 1332])).
% 11.24/11.44 tff(1338,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node153(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node153(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1339,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node153(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1340,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node153(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 11.24/11.44 tff(1341,plain,
% 11.24/11.44 (~node153(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1340, 1337, 302])).
% 11.24/11.44 tff(1342,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1343,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1342])).
% 11.24/11.44 tff(1344,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1345,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_166')).
% 11.24/11.44 tff(1346,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 11.24/11.44 tff(1347,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1346])).
% 11.24/11.44 tff(1348,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1347, 1343])).
% 11.24/11.44 tff(1349,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1350,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1351,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 11.24/11.44 tff(1352,plain,
% 11.24/11.44 (~node156(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1351, 1348, 302])).
% 11.24/11.44 tff(1353,plain,
% 11.24/11.44 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1354,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1353])).
% 11.24/11.44 tff(1355,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1356,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_132')).
% 11.24/11.44 tff(1357,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 11.24/11.44 tff(1358,plain,(
% 11.24/11.44 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1357])).
% 11.24/11.44 tff(1359,plain,
% 11.24/11.44 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1358, 1354])).
% 11.24/11.44 tff(1360,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1361,plain,
% 11.24/11.44 ((m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0))) <=> ((~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1362,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)))),
% 11.24/11.44 inference(monotonicity,[status(thm)],[1361])).
% 11.24/11.44 tff(1363,plain,
% 11.24/11.44 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.44 inference(transitivity,[status(thm)],[1362, 1360])).
% 11.24/11.44 tff(1364,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1365,plain,
% 11.24/11.44 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 11.24/11.44 tff(1366,plain,
% 11.24/11.44 (~node150(c_s, s0)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1365, 1359, 854])).
% 11.24/11.44 tff(1367,plain,
% 11.24/11.44 (^[Y: $i, X: $i, J0: $i] : refl((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1368,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1367])).
% 11.24/11.44 tff(1369,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1370,plain,
% 11.24/11.44 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node150(J0, X) | node151(J0, X)) | node152(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | node157(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | node157(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)) | node158(J0, X, Y)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)) | node158(J0, X, Y)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)) | (~node159(J0, X, Y))))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1371,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1370])).
% 11.24/11.44 tff(1372,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_185')).
% 11.24/11.44 tff(1373,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 11.24/11.44 tff(1374,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1373, 1369])).
% 11.24/11.44 tff(1375,plain,(
% 11.24/11.44 ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(skolemize,[status(sab)],[1374])).
% 11.24/11.44 tff(1376,plain,
% 11.24/11.44 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1375, 1368])).
% 11.24/11.44 tff(1377,plain,
% 11.24/11.44 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1378,plain,
% 11.24/11.44 ((node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))) <=> (node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1379,plain,
% 11.24/11.44 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))))),
% 11.24/11.44 inference(monotonicity,[status(thm)],[1378])).
% 11.24/11.44 tff(1380,plain,
% 11.24/11.44 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.24/11.44 inference(transitivity,[status(thm)],[1379, 1377])).
% 11.24/11.44 tff(1381,plain,
% 11.24/11.44 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.24/11.44 inference(quant_inst,[status(thm)],[])).
% 11.24/11.44 tff(1382,plain,
% 11.24/11.44 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node150(c_s, s0) | node156(c_s, s0) | node153(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))),
% 11.24/11.44 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 11.24/11.44 tff(1383,plain,
% 11.24/11.44 (node158(c_s, s0, s1)),
% 11.24/11.44 inference(unit_resolution,[status(thm)],[1382, 1376, 1366, 1352, 1341, 1330, 1319, 1308, 1297, 1286, 1264])).
% 11.24/11.44 tff(1384,plain,
% 11.24/11.44 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1385,plain,
% 11.24/11.44 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1384])).
% 11.24/11.44 tff(1386,plain,
% 11.24/11.44 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.44 inference(rewrite,[status(thm)],[])).
% 11.24/11.44 tff(1387,plain,
% 11.24/11.44 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))))),
% 11.24/11.44 inference(bind,[status(th)],[])).
% 11.24/11.44 tff(1388,plain,
% 11.24/11.44 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.44 inference(quant_intro,[status(thm)],[1387])).
% 11.24/11.45 tff(1389,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_176')).
% 11.24/11.45 tff(1390,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 11.24/11.45 tff(1391,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1390, 1386])).
% 11.24/11.45 tff(1392,plain,(
% 11.24/11.45 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.45 inference(skolemize,[status(sab)],[1391])).
% 11.24/11.45 tff(1393,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1392, 1385])).
% 11.24/11.45 tff(1394,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1395,plain,
% 11.24/11.45 (((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock))) <=> (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1396,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1))))),
% 11.24/11.45 inference(monotonicity,[status(thm)],[1395])).
% 11.24/11.45 tff(1397,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(transitivity,[status(thm)],[1396, 1394])).
% 11.24/11.45 tff(1398,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1399,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 11.24/11.45 tff(1400,plain,
% 11.24/11.45 (~m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1399, 1393, 255, 1383])).
% 11.24/11.45 tff(1401,plain,
% 11.24/11.45 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1402,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1403,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 11.24/11.45 tff(1404,plain,
% 11.24/11.45 ((~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1403, 265])).
% 11.24/11.45 tff(1405,plain,
% 11.24/11.45 (~node37(c_s, s1)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1404, 1400])).
% 11.24/11.45 tff(1406,plain,
% 11.24/11.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1407,plain,
% 11.24/11.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1408,plain,
% 11.24/11.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2)),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 11.24/11.45 tff(1409,plain,
% 11.24/11.45 (node42(c_s, s1, s2)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1408, 28, 25, 226])).
% 11.24/11.45 tff(1410,plain,
% 11.24/11.45 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1411,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1412,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 11.24/11.45 tff(1413,plain,
% 11.24/11.45 (~node38(c_s, s1)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1412, 276, 347])).
% 11.24/11.45 tff(1414,plain,
% 11.24/11.45 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1415,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1416,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 11.24/11.45 tff(1417,plain,
% 11.24/11.45 (~node39(c_s, s1)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1416, 287, 366])).
% 11.24/11.45 tff(1418,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1419,plain,
% 11.24/11.45 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress))) <=> (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1420,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1))))),
% 11.24/11.45 inference(monotonicity,[status(thm)],[1419])).
% 11.24/11.45 tff(1421,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(transitivity,[status(thm)],[1420, 1418])).
% 11.24/11.45 tff(1422,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1423,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 11.24/11.45 tff(1424,plain,
% 11.24/11.45 (~m_state_v_angle(c_s, s1, c_arm1topress)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1423, 340, 302, 330])).
% 11.24/11.45 tff(1425,plain,
% 11.24/11.45 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1426,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1427,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1426, 1425])).
% 11.24/11.45 tff(1428,plain,
% 11.24/11.45 (~node40(c_s, s1)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1427, 309, 1424])).
% 11.24/11.45 tff(1429,plain,
% 11.24/11.45 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1430,plain,
% 11.24/11.45 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1431,plain,
% 11.24/11.45 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 11.24/11.45 tff(1432,plain,
% 11.24/11.45 (node37(c_s, s1) | node41(c_s, s1, s2)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1431, 323, 1428, 1417, 1413, 1409])).
% 11.24/11.45 tff(1433,plain,
% 11.24/11.45 (node41(c_s, s1, s2)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1432, 1405])).
% 11.24/11.45 tff(1434,plain,
% 11.24/11.45 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)))),
% 11.24/11.45 inference(bind,[status(th)],[])).
% 11.24/11.45 tff(1435,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(quant_intro,[status(thm)],[1434])).
% 11.24/11.45 tff(1436,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1437,plain,
% 11.24/11.45 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) <=> ((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))), (((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) | (~node41(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))), (((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))))),
% 11.24/11.45 inference(bind,[status(th)],[])).
% 11.24/11.45 tff(1438,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(quant_intro,[status(thm)],[1437])).
% 11.24/11.45 tff(1439,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_70')).
% 11.24/11.45 tff(1440,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 11.24/11.45 tff(1441,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1440, 1436])).
% 11.24/11.45 tff(1442,plain,(
% 11.24/11.45 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(skolemize,[status(sab)],[1441])).
% 11.24/11.45 tff(1443,plain,
% 11.24/11.45 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1442, 1435])).
% 11.24/11.45 tff(1444,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1445,plain,
% 11.24/11.45 (((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable)) <=> (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1446,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1))))),
% 11.24/11.45 inference(monotonicity,[status(thm)],[1445])).
% 11.24/11.45 tff(1447,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.24/11.45 inference(transitivity,[status(thm)],[1446, 1444])).
% 11.24/11.45 tff(1448,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1449,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 11.24/11.45 tff(1450,plain,
% 11.24/11.45 (m_state_v_angle(c_s, s1, c_arm1totable)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1449, 1443, 65, 330])).
% 11.24/11.45 tff(1451,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1452,plain,
% 11.24/11.45 (((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable)) <=> (m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1453,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2))))),
% 11.24/11.45 inference(monotonicity,[status(thm)],[1452])).
% 11.24/11.45 tff(1454,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2)))),
% 11.24/11.45 inference(transitivity,[status(thm)],[1453, 1451])).
% 11.24/11.45 tff(1455,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1456,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node41(c_s, s1, s2))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 11.24/11.45 tff(1457,plain,
% 11.24/11.45 (m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2))),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1456, 1443, 1450])).
% 11.24/11.45 tff(1458,plain,
% 11.24/11.45 (m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1457, 1433])).
% 11.24/11.45 tff(1459,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1460,plain,
% 11.24/11.45 (((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise))) <=> (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1461,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1))))),
% 11.24/11.45 inference(monotonicity,[status(thm)],[1460])).
% 11.24/11.45 tff(1462,plain,
% 11.24/11.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.24/11.45 inference(transitivity,[status(thm)],[1461, 1459])).
% 11.24/11.45 tff(1463,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1464,plain,
% 11.24/11.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 11.24/11.45 tff(1465,plain,
% 11.24/11.45 ((~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1))),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1464, 1393, 1275])).
% 11.24/11.45 tff(1466,plain,
% 11.24/11.45 (~m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1465, 1383])).
% 11.24/11.45 tff(1467,plain,
% 11.24/11.45 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1468,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))),
% 11.24/11.45 inference(quant_inst,[status(thm)],[])).
% 11.24/11.45 tff(1469,plain,
% 11.24/11.45 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1))),
% 11.24/11.45 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 11.24/11.45 tff(1470,plain,
% 11.24/11.45 (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1))),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1469, 1282])).
% 11.24/11.45 tff(1471,plain,
% 11.24/11.45 (~node157(c_s, s1)),
% 11.24/11.45 inference(unit_resolution,[status(thm)],[1470, 1466])).
% 11.24/11.45 tff(1472,plain,
% 11.24/11.45 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))))),
% 11.24/11.45 inference(bind,[status(th)],[])).
% 11.24/11.45 tff(1473,plain,
% 11.24/11.45 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.45 inference(quant_intro,[status(thm)],[1472])).
% 11.24/11.45 tff(1474,plain,
% 11.24/11.45 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.45 inference(rewrite,[status(thm)],[])).
% 11.24/11.45 tff(1475,plain,
% 11.24/11.45 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))))),
% 11.24/11.46 inference(bind,[status(th)],[])).
% 11.24/11.46 tff(1476,plain,
% 11.24/11.46 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.46 inference(quant_intro,[status(thm)],[1475])).
% 11.24/11.46 tff(1477,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_54')).
% 11.24/11.46 tff(1478,plain,
% 11.24/11.46 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 11.24/11.46 tff(1479,plain,
% 11.24/11.46 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1478, 1474])).
% 11.24/11.46 tff(1480,plain,(
% 11.24/11.46 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.46 inference(skolemize,[status(sab)],[1479])).
% 11.24/11.46 tff(1481,plain,
% 11.24/11.46 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1480, 1473])).
% 11.24/11.46 tff(1482,plain,
% 11.24/11.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1483,plain,
% 11.24/11.46 (((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1484,plain,
% 11.24/11.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1)))),
% 11.24/11.46 inference(monotonicity,[status(thm)],[1483])).
% 11.24/11.46 tff(1485,plain,
% 11.24/11.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.24/11.46 inference(transitivity,[status(thm)],[1484, 1482])).
% 11.24/11.46 tff(1486,plain,
% 11.24/11.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.24/11.46 inference(quant_inst,[status(thm)],[])).
% 11.24/11.46 tff(1487,plain,
% 11.24/11.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1)),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 11.24/11.46 tff(1488,plain,
% 11.24/11.46 (node131(c_s, s0, s1)),
% 11.24/11.46 inference(unit_resolution,[status(thm)],[1487, 52, 1481, 39])).
% 11.24/11.46 tff(1489,plain,
% 11.24/11.46 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))))),
% 11.24/11.46 inference(bind,[status(th)],[])).
% 11.24/11.46 tff(1490,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.24/11.46 inference(quant_intro,[status(thm)],[1489])).
% 11.24/11.46 tff(1491,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1492,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_38')).
% 11.24/11.46 tff(1493,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 11.24/11.46 tff(1494,plain,(
% 11.24/11.46 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.24/11.46 inference(skolemize,[status(sab)],[1493])).
% 11.24/11.46 tff(1495,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1494, 1490])).
% 11.24/11.46 tff(1496,plain,
% 11.24/11.46 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1497,plain,
% 11.24/11.46 ((m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0))) <=> ((~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1498,plain,
% 11.24/11.46 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)))),
% 11.24/11.46 inference(monotonicity,[status(thm)],[1497])).
% 11.24/11.46 tff(1499,plain,
% 11.24/11.46 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.24/11.46 inference(transitivity,[status(thm)],[1498, 1496])).
% 11.24/11.46 tff(1500,plain,
% 11.24/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))),
% 11.24/11.46 inference(quant_inst,[status(thm)],[])).
% 11.24/11.46 tff(1501,plain,
% 11.24/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 11.24/11.46 tff(1502,plain,
% 11.24/11.46 (~node128(c_s, s0)),
% 11.24/11.46 inference(unit_resolution,[status(thm)],[1501, 1495, 854])).
% 11.24/11.46 tff(1503,plain,
% 11.24/11.46 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))))),
% 11.24/11.46 inference(bind,[status(th)],[])).
% 11.24/11.46 tff(1504,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.24/11.46 inference(quant_intro,[status(thm)],[1503])).
% 11.24/11.46 tff(1505,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1506,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_24')).
% 11.24/11.46 tff(1507,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 11.24/11.46 tff(1508,plain,(
% 11.24/11.46 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.24/11.46 inference(skolemize,[status(sab)],[1507])).
% 11.24/11.46 tff(1509,plain,
% 11.24/11.46 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1508, 1504])).
% 11.24/11.46 tff(1510,plain,
% 11.24/11.46 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))),
% 11.24/11.46 inference(rewrite,[status(thm)],[])).
% 11.24/11.46 tff(1511,plain,
% 11.24/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))),
% 11.24/11.46 inference(quant_inst,[status(thm)],[])).
% 11.24/11.46 tff(1512,plain,
% 11.24/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0))),
% 11.24/11.46 inference(modus_ponens,[status(thm)],[1511, 1510])).
% 11.24/11.46 tff(1513,plain,
% 11.24/11.46 (~node124(c_s, s0)),
% 11.24/11.46 inference(unit_resolution,[status(thm)],[1512, 1509, 880])).
% 11.24/11.46 tff(1514,plain,
% 11.24/11.46 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X))))),
% 11.31/11.46 inference(bind,[status(th)],[])).
% 11.31/11.46 tff(1515,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))),
% 11.31/11.46 inference(quant_intro,[status(thm)],[1514])).
% 11.31/11.46 tff(1516,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1517,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_32')).
% 11.31/11.46 tff(1518,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 11.31/11.46 tff(1519,plain,(
% 11.31/11.46 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))),
% 11.31/11.46 inference(skolemize,[status(sab)],[1518])).
% 11.31/11.46 tff(1520,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1519, 1515])).
% 11.31/11.46 tff(1521,plain,
% 11.31/11.46 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~node126(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~node126(c_s, s0)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1522,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~node126(c_s, s0)))),
% 11.31/11.46 inference(quant_inst,[status(thm)],[])).
% 11.31/11.46 tff(1523,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~node126(c_s, s0))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 11.31/11.46 tff(1524,plain,
% 11.31/11.46 (~node126(c_s, s0)),
% 11.31/11.46 inference(unit_resolution,[status(thm)],[1523, 1520, 1058])).
% 11.31/11.46 tff(1525,plain,
% 11.31/11.46 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))))),
% 11.31/11.46 inference(bind,[status(th)],[])).
% 11.31/11.46 tff(1526,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.31/11.46 inference(quant_intro,[status(thm)],[1525])).
% 11.31/11.46 tff(1527,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1528,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_26')).
% 11.31/11.46 tff(1529,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 11.31/11.46 tff(1530,plain,(
% 11.31/11.46 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.31/11.46 inference(skolemize,[status(sab)],[1529])).
% 11.31/11.46 tff(1531,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1530, 1526])).
% 11.31/11.46 tff(1532,plain,
% 11.31/11.46 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node125(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node125(c_s, s0)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1533,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node125(c_s, s0)))),
% 11.31/11.46 inference(quant_inst,[status(thm)],[])).
% 11.31/11.46 tff(1534,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node125(c_s, s0))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 11.31/11.46 tff(1535,plain,
% 11.31/11.46 (~node125(c_s, s0)),
% 11.31/11.46 inference(unit_resolution,[status(thm)],[1534, 1531, 302])).
% 11.31/11.46 tff(1536,plain,
% 11.31/11.46 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))))),
% 11.31/11.46 inference(bind,[status(th)],[])).
% 11.31/11.46 tff(1537,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.31/11.46 inference(quant_intro,[status(thm)],[1536])).
% 11.31/11.46 tff(1538,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1539,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_33')).
% 11.31/11.46 tff(1540,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 11.31/11.46 tff(1541,plain,(
% 11.31/11.46 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.31/11.46 inference(skolemize,[status(sab)],[1540])).
% 11.31/11.46 tff(1542,plain,
% 11.31/11.46 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1541, 1537])).
% 11.31/11.46 tff(1543,plain,
% 11.31/11.46 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1544,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))),
% 11.31/11.46 inference(quant_inst,[status(thm)],[])).
% 11.31/11.46 tff(1545,plain,
% 11.31/11.46 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 11.31/11.46 tff(1546,plain,
% 11.31/11.46 (~node127(c_s, s0)),
% 11.31/11.46 inference(unit_resolution,[status(thm)],[1545, 1542, 302])).
% 11.31/11.46 tff(1547,plain,
% 11.31/11.46 (^[I0: $i] : refl((~m_state_v_maxRot(I0, s0)) <=> (~m_state_v_maxRot(I0, s0)))),
% 11.31/11.46 inference(bind,[status(th)],[])).
% 11.31/11.46 tff(1548,plain,
% 11.31/11.46 (![I0: $i] : (~m_state_v_maxRot(I0, s0)) <=> ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.31/11.46 inference(quant_intro,[status(thm)],[1547])).
% 11.31/11.46 tff(1549,plain,
% 11.31/11.46 (![I0: $i] : (~m_state_v_maxRot(I0, s0)) <=> ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.31/11.46 inference(rewrite,[status(thm)],[])).
% 11.31/11.46 tff(1550,axiom,(![I0: $i] : (~m_state_v_maxRot(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_85')).
% 11.31/11.46 tff(1551,plain,
% 11.31/11.46 (![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.31/11.46 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 11.31/11.46 tff(1552,plain,(
% 11.31/11.46 ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.31/11.46 inference(skolemize,[status(sab)],[1551])).
% 11.31/11.47 tff(1553,plain,
% 11.31/11.47 (![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1552, 1548])).
% 11.31/11.47 tff(1554,plain,
% 11.31/11.47 ((~![I0: $i] : (~m_state_v_maxRot(I0, s0))) | (~m_state_v_maxRot(c_s, s0))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1555,plain,
% 11.31/11.47 (~m_state_v_maxRot(c_s, s0)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1554, 1553])).
% 11.31/11.47 tff(1556,plain,
% 11.31/11.47 (^[X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> (m_state_v_maxRot(J0, X) | (~node122(J0, X))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1557,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1556])).
% 11.31/11.47 tff(1558,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1559,axiom,(![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_10')).
% 11.31/11.47 tff(1560,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 11.31/11.47 tff(1561,plain,(
% 11.31/11.47 ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.31/11.47 inference(skolemize,[status(sab)],[1560])).
% 11.31/11.47 tff(1562,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1561, 1557])).
% 11.31/11.47 tff(1563,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1564,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1565,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 11.31/11.47 tff(1566,plain,
% 11.31/11.47 (~node122(c_s, s0)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1565, 1562, 1555])).
% 11.31/11.47 tff(1567,plain,
% 11.31/11.47 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1568,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1567])).
% 11.31/11.47 tff(1569,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1570,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_40')).
% 11.31/11.47 tff(1571,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 11.31/11.47 tff(1572,plain,(
% 11.31/11.47 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.31/11.47 inference(skolemize,[status(sab)],[1571])).
% 11.31/11.47 tff(1573,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1572, 1568])).
% 11.31/11.47 tff(1574,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node129(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node129(c_s, s0)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1575,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node129(c_s, s0)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1576,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node129(c_s, s0))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 11.31/11.47 tff(1577,plain,
% 11.31/11.47 (m_state_v_angle(c_s, s0, c_arm1topress) | (~node129(c_s, s0))),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1576, 1573])).
% 11.31/11.47 tff(1578,plain,
% 11.31/11.47 (~node129(c_s, s0)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1577, 302])).
% 11.31/11.47 tff(1579,plain,
% 11.31/11.47 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1580,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1579])).
% 11.31/11.47 tff(1581,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1582,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_12')).
% 11.31/11.47 tff(1583,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 11.31/11.47 tff(1584,plain,(
% 11.31/11.47 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.31/11.47 inference(skolemize,[status(sab)],[1583])).
% 11.31/11.47 tff(1585,plain,
% 11.31/11.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1584, 1580])).
% 11.31/11.47 tff(1586,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | ((~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1587,plain,
% 11.31/11.47 ((m_state_v_angle(c_s, s0, c_arm1topress) | (~node123(c_s, s0))) <=> ((~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1588,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node123(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | ((~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress)))),
% 11.31/11.47 inference(monotonicity,[status(thm)],[1587])).
% 11.31/11.47 tff(1589,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node123(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.31/11.47 inference(transitivity,[status(thm)],[1588, 1586])).
% 11.31/11.47 tff(1590,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node123(c_s, s0)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1591,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm1topress)),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 11.31/11.47 tff(1592,plain,
% 11.31/11.47 (~node123(c_s, s0)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1591, 1585, 302])).
% 11.31/11.47 tff(1593,plain,
% 11.31/11.47 (^[Y: $i, X: $i, J0: $i] : refl((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1594,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1593])).
% 11.31/11.47 tff(1595,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1596,plain,
% 11.31/11.47 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | node128(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | node128(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)) | node129(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)) | node129(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)) | node130(J0, X, Y)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)) | node130(J0, X, Y)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)) | (~node131(J0, X, Y))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1597,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1596])).
% 11.31/11.47 tff(1598,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_53')).
% 11.31/11.47 tff(1599,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 11.31/11.47 tff(1600,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1599, 1595])).
% 11.31/11.47 tff(1601,plain,(
% 11.31/11.47 ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(skolemize,[status(sab)],[1600])).
% 11.31/11.47 tff(1602,plain,
% 11.31/11.47 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1601, 1594])).
% 11.31/11.47 tff(1603,plain,
% 11.31/11.47 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1604,plain,
% 11.31/11.47 ((node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1))) <=> (node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1605,plain,
% 11.31/11.47 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1))))),
% 11.31/11.47 inference(monotonicity,[status(thm)],[1604])).
% 11.31/11.47 tff(1606,plain,
% 11.31/11.47 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))),
% 11.31/11.47 inference(transitivity,[status(thm)],[1605, 1603])).
% 11.31/11.47 tff(1607,plain,
% 11.31/11.47 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1608,plain,
% 11.31/11.47 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node122(c_s, s0) | node127(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node124(c_s, s0) | node128(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 11.31/11.47 tff(1609,plain,
% 11.31/11.47 (node130(c_s, s0, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1608, 1602, 1592, 1578, 1566, 1546, 1535, 1524, 1513, 1502, 1488])).
% 11.31/11.47 tff(1610,plain,
% 11.31/11.47 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1611,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1610])).
% 11.31/11.47 tff(1612,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1613,plain,
% 11.31/11.47 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))))),
% 11.31/11.47 inference(bind,[status(th)],[])).
% 11.31/11.47 tff(1614,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(quant_intro,[status(thm)],[1613])).
% 11.31/11.47 tff(1615,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_44')).
% 11.31/11.47 tff(1616,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 11.31/11.47 tff(1617,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1616, 1612])).
% 11.31/11.47 tff(1618,plain,(
% 11.31/11.47 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(skolemize,[status(sab)],[1617])).
% 11.31/11.47 tff(1619,plain,
% 11.31/11.47 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1618, 1611])).
% 11.31/11.47 tff(1620,plain,
% 11.31/11.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1621,plain,
% 11.31/11.47 (((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract))) <=> (m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1622,plain,
% 11.31/11.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1))))),
% 11.31/11.47 inference(monotonicity,[status(thm)],[1621])).
% 11.31/11.47 tff(1623,plain,
% 11.31/11.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1)))),
% 11.31/11.47 inference(transitivity,[status(thm)],[1622, 1620])).
% 11.31/11.47 tff(1624,plain,
% 11.31/11.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1625,plain,
% 11.31/11.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)) | (~node130(c_s, s0, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 11.31/11.47 tff(1626,plain,
% 11.31/11.47 (~m_state_v_A1M(c_s, s1, c_retract)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1625, 1619, 854, 1609])).
% 11.31/11.47 tff(1627,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1628,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1629,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 11.31/11.47 tff(1630,plain,
% 11.31/11.47 (~node150(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1629, 1359, 1626])).
% 11.31/11.47 tff(1631,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1632,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1633,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 11.31/11.47 tff(1634,plain,
% 11.31/11.47 (~node152(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1633, 1315, 366])).
% 11.31/11.47 tff(1635,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1636,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1637,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 11.31/11.47 tff(1638,plain,
% 11.31/11.47 (~node156(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1637, 1348, 1424])).
% 11.31/11.47 tff(1639,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1640,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1641,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 11.31/11.47 tff(1642,plain,
% 11.31/11.47 (~node154(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1641, 1304, 347])).
% 11.31/11.47 tff(1643,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1644,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1645,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1))),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 11.31/11.47 tff(1646,plain,
% 11.31/11.47 (~node153(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1645, 1337, 1424])).
% 11.31/11.47 tff(1647,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | ((~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1648,plain,
% 11.31/11.47 ((m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1))) <=> ((~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1649,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | ((~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.31/11.47 inference(monotonicity,[status(thm)],[1648])).
% 11.31/11.47 tff(1650,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.31/11.47 inference(transitivity,[status(thm)],[1649, 1647])).
% 11.31/11.47 tff(1651,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1652,plain,
% 11.31/11.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (~node151(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 11.31/11.47 tff(1653,plain,
% 11.31/11.47 (~node151(c_s, s1)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1652, 1293, 347])).
% 11.31/11.47 tff(1654,plain,
% 11.31/11.47 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))),
% 11.31/11.47 inference(rewrite,[status(thm)],[])).
% 11.31/11.47 tff(1655,plain,
% 11.31/11.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))),
% 11.31/11.47 inference(quant_inst,[status(thm)],[])).
% 11.31/11.47 tff(1656,plain,
% 11.31/11.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2)),
% 11.31/11.47 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 11.31/11.47 tff(1657,plain,
% 11.31/11.47 (node159(c_s, s1, s2)),
% 11.31/11.47 inference(unit_resolution,[status(thm)],[1656, 52, 1260, 226])).
% 11.31/11.47 tff(1658,plain,
% 11.31/11.47 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node155(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node155(c_s, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1659,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~node155(c_s, s1)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1660,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~node155(c_s, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 11.31/11.48 tff(1661,plain,
% 11.31/11.48 (~node155(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1660, 1246, 471])).
% 11.31/11.48 tff(1662,plain,
% 11.31/11.48 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1663,plain,
% 11.31/11.48 ((node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2))) <=> (node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1664,plain,
% 11.31/11.48 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2)))),
% 11.31/11.48 inference(monotonicity,[status(thm)],[1663])).
% 11.31/11.48 tff(1665,plain,
% 11.31/11.48 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.31/11.48 inference(transitivity,[status(thm)],[1664, 1662])).
% 11.31/11.48 tff(1666,plain,
% 11.31/11.48 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1667,plain,
% 11.31/11.48 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2)),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 11.31/11.48 tff(1668,plain,
% 11.31/11.48 (node157(c_s, s1) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node156(c_s, s1) | node152(c_s, s1) | node158(c_s, s1, s2)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1667, 1376, 1661, 1657])).
% 11.31/11.48 tff(1669,plain,
% 11.31/11.48 (node157(c_s, s1) | node150(c_s, s1) | node158(c_s, s1, s2)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1668, 1653, 1646, 1642, 1638, 1634])).
% 11.31/11.48 tff(1670,plain,
% 11.31/11.48 (node157(c_s, s1) | node158(c_s, s1, s2)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1669, 1630])).
% 11.31/11.48 tff(1671,plain,
% 11.31/11.48 (node158(c_s, s1, s2)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1670, 1471])).
% 11.31/11.48 tff(1672,plain,
% 11.31/11.48 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1673,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1672])).
% 11.31/11.48 tff(1674,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1675,plain,
% 11.31/11.48 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) <=> ((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))), (((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> (((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) | (~node158(J0, X, Y))))), rewrite((((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))), (((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1676,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1675])).
% 11.31/11.48 tff(1677,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_175')).
% 11.31/11.48 tff(1678,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 11.31/11.48 tff(1679,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1678, 1674])).
% 11.31/11.48 tff(1680,plain,(
% 11.31/11.48 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(skolemize,[status(sab)],[1679])).
% 11.31/11.48 tff(1681,plain,
% 11.31/11.48 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1680, 1673])).
% 11.31/11.48 tff(1682,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1683,plain,
% 11.31/11.48 (((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle)) <=> (m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1684,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1))))),
% 11.31/11.48 inference(monotonicity,[status(thm)],[1683])).
% 11.31/11.48 tff(1685,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1)))),
% 11.31/11.48 inference(transitivity,[status(thm)],[1684, 1682])).
% 11.31/11.48 tff(1686,plain,
% 11.31/11.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1687,plain,
% 11.31/11.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node158(c_s, s0, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 11.31/11.48 tff(1688,plain,
% 11.31/11.48 (m_state_v_RRM(c_s, s1, c_idle)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1687, 1681, 244, 1383])).
% 11.31/11.48 tff(1689,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1690,plain,
% 11.31/11.48 (((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle)) <=> (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1691,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2))))),
% 11.31/11.48 inference(monotonicity,[status(thm)],[1690])).
% 11.31/11.48 tff(1692,plain,
% 11.31/11.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.31/11.48 inference(transitivity,[status(thm)],[1691, 1689])).
% 11.31/11.48 tff(1693,plain,
% 11.31/11.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1694,plain,
% 11.31/11.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 11.31/11.48 tff(1695,plain,
% 11.31/11.48 (m_state_v_RRM(c_s, s2, c_idle)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1694, 1681, 1688, 1671])).
% 11.31/11.48 tff(1696,plain,
% 11.31/11.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1697,plain,
% 11.31/11.48 (((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1698,plain,
% 11.31/11.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2)))),
% 11.31/11.48 inference(monotonicity,[status(thm)],[1697])).
% 11.31/11.48 tff(1699,plain,
% 11.31/11.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.31/11.48 inference(transitivity,[status(thm)],[1698, 1696])).
% 11.31/11.48 tff(1700,plain,
% 11.31/11.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1701,plain,
% 11.31/11.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2)),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 11.31/11.48 tff(1702,plain,
% 11.31/11.48 (node131(c_s, s1, s2)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1701, 52, 1481, 226])).
% 11.31/11.48 tff(1703,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1704,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1705,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 11.31/11.48 tff(1706,plain,
% 11.31/11.48 (~node128(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1705, 1495, 1626])).
% 11.31/11.48 tff(1707,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1708,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1709,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1708, 1707])).
% 11.31/11.48 tff(1710,plain,
% 11.31/11.48 (~node129(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1709, 1573, 1424])).
% 11.31/11.48 tff(1711,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1712,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1711])).
% 11.31/11.48 tff(1713,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1714,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_34')).
% 11.31/11.48 tff(1715,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 11.31/11.48 tff(1716,plain,(
% 11.31/11.48 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.31/11.48 inference(skolemize,[status(sab)],[1715])).
% 11.31/11.48 tff(1717,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1716, 1712])).
% 11.31/11.48 tff(1718,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1719,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1720,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 11.31/11.48 tff(1721,plain,
% 11.31/11.48 (~node127(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1720, 1717, 948])).
% 11.31/11.48 tff(1722,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : refl(((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1723,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1722])).
% 11.31/11.48 tff(1724,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1725,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X))) <=> ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1726,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1725])).
% 11.31/11.48 tff(1727,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_28')).
% 11.31/11.48 tff(1728,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 11.31/11.48 tff(1729,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1728, 1724])).
% 11.31/11.48 tff(1730,plain,(
% 11.31/11.48 ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(skolemize,[status(sab)],[1729])).
% 11.31/11.48 tff(1731,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1730, 1723])).
% 11.31/11.48 tff(1732,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))) <=> ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1733,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1734,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip)),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 11.31/11.48 tff(1735,plain,
% 11.31/11.48 (~node125(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1734, 1731, 948])).
% 11.31/11.48 tff(1736,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1737,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1736])).
% 11.31/11.48 tff(1738,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1739,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_30')).
% 11.31/11.48 tff(1740,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 11.31/11.48 tff(1741,plain,(
% 11.31/11.48 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.31/11.48 inference(skolemize,[status(sab)],[1740])).
% 11.31/11.48 tff(1742,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1741, 1737])).
% 11.31/11.48 tff(1743,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1744,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1745,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 11.31/11.48 tff(1746,plain,
% 11.31/11.48 (~node126(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1745, 1742, 977])).
% 11.31/11.48 tff(1747,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : refl(((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1748,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1747])).
% 11.31/11.48 tff(1749,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1750,plain,
% 11.31/11.48 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X))) <=> ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1751,plain,
% 11.31/11.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1750])).
% 11.31/11.48 tff(1752,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_25')).
% 11.31/11.48 tff(1753,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 11.31/11.48 tff(1754,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1753, 1749])).
% 11.31/11.48 tff(1755,plain,(
% 11.31/11.48 ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(skolemize,[status(sab)],[1754])).
% 11.31/11.48 tff(1756,plain,
% 11.31/11.48 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1755, 1748])).
% 11.31/11.48 tff(1757,plain,
% 11.31/11.48 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1758,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))),
% 11.31/11.48 inference(quant_inst,[status(thm)],[])).
% 11.31/11.48 tff(1759,plain,
% 11.31/11.48 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot)),
% 11.31/11.48 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 11.31/11.48 tff(1760,plain,
% 11.31/11.48 (~node124(c_s, s1)),
% 11.31/11.48 inference(unit_resolution,[status(thm)],[1759, 1756, 977])).
% 11.31/11.48 tff(1761,plain,
% 11.31/11.48 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)))),
% 11.31/11.48 inference(bind,[status(th)],[])).
% 11.31/11.48 tff(1762,plain,
% 11.31/11.48 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.48 inference(quant_intro,[status(thm)],[1761])).
% 11.31/11.48 tff(1763,plain,
% 11.31/11.48 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.48 inference(rewrite,[status(thm)],[])).
% 11.31/11.48 tff(1764,plain,
% 11.31/11.48 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1765,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1764])).
% 11.31/11.49 tff(1766,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_115')).
% 11.31/11.49 tff(1767,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 11.31/11.49 tff(1768,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1767, 1763])).
% 11.31/11.49 tff(1769,plain,(
% 11.31/11.49 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1768])).
% 11.31/11.49 tff(1770,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1769, 1762])).
% 11.31/11.49 tff(1771,plain,
% 11.31/11.49 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1772,plain,
% 11.31/11.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1773,plain,
% 11.31/11.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 11.31/11.49 tff(1774,plain,
% 11.31/11.49 (node56(c_s, s0, s1)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1773, 28, 1770, 39])).
% 11.31/11.49 tff(1775,plain,
% 11.31/11.49 (^[I0: $i] : refl(m_state_v_PM(I0, s0, c_idle) <=> m_state_v_PM(I0, s0, c_idle))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1776,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_PM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1775])).
% 11.31/11.49 tff(1777,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_PM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1778,axiom,(![I0: $i] : m_state_v_PM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_100')).
% 11.31/11.49 tff(1779,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 11.31/11.49 tff(1780,plain,(
% 11.31/11.49 ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.31/11.49 inference(skolemize,[status(sab)],[1779])).
% 11.31/11.49 tff(1781,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1780, 1776])).
% 11.31/11.49 tff(1782,plain,
% 11.31/11.49 ((~![I0: $i] : m_state_v_PM(I0, s0, c_idle)) | m_state_v_PM(c_s, s0, c_idle)),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1783,plain,
% 11.31/11.49 (m_state_v_PM(c_s, s0, c_idle)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1782, 1781])).
% 11.31/11.49 tff(1784,plain,
% 11.31/11.49 (^[I0: $i, X: $i] : refl(((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1785,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1784])).
% 11.31/11.49 tff(1786,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1787,axiom,(![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_29')).
% 11.31/11.49 tff(1788,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 11.31/11.49 tff(1789,plain,(
% 11.31/11.49 ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1788])).
% 11.31/11.49 tff(1790,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1789, 1785])).
% 11.31/11.49 tff(1791,plain,
% 11.31/11.49 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1792,plain,
% 11.31/11.49 (((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle))) <=> ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1793,plain,
% 11.31/11.49 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up))))),
% 11.31/11.49 inference(monotonicity,[status(thm)],[1792])).
% 11.31/11.49 tff(1794,plain,
% 11.31/11.49 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.31/11.49 inference(transitivity,[status(thm)],[1793, 1791])).
% 11.31/11.49 tff(1795,plain,
% 11.31/11.49 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1796,plain,
% 11.31/11.49 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 11.31/11.49 tff(1797,plain,
% 11.31/11.49 (~m_state_v_PM(c_s, s0, c_up)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1796, 1790, 1783])).
% 11.31/11.49 tff(1798,plain,
% 11.31/11.49 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1799,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1798])).
% 11.31/11.49 tff(1800,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1801,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_106')).
% 11.31/11.49 tff(1802,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 11.31/11.49 tff(1803,plain,(
% 11.31/11.49 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1802])).
% 11.31/11.49 tff(1804,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1803, 1799])).
% 11.31/11.49 tff(1805,plain,
% 11.31/11.49 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1806,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1807,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 11.31/11.49 tff(1808,plain,
% 11.31/11.49 (~node53(c_s, s0)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1807, 1804, 1797])).
% 11.31/11.49 tff(1809,plain,
% 11.31/11.49 (^[I0: $i] : refl(m_state_v_press_status(I0, s0, c_pressatbot) <=> m_state_v_press_status(I0, s0, c_pressatbot))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1810,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot) <=> ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1809])).
% 11.31/11.49 tff(1811,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot) <=> ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1812,axiom,(![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_98')).
% 11.31/11.49 tff(1813,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 11.31/11.49 tff(1814,plain,(
% 11.31/11.49 ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.31/11.49 inference(skolemize,[status(sab)],[1813])).
% 11.31/11.49 tff(1815,plain,
% 11.31/11.49 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1814, 1810])).
% 11.31/11.49 tff(1816,plain,
% 11.31/11.49 ((~![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)) | m_state_v_press_status(c_s, s0, c_pressatbot)),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1817,plain,
% 11.31/11.49 (m_state_v_press_status(c_s, s0, c_pressatbot)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1816, 1815])).
% 11.31/11.49 tff(1818,plain,
% 11.31/11.49 (^[I0: $i, X: $i] : refl(((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1819,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1818])).
% 11.31/11.49 tff(1820,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1821,axiom,(![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_76')).
% 11.31/11.49 tff(1822,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 11.31/11.49 tff(1823,plain,(
% 11.31/11.49 ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1822])).
% 11.31/11.49 tff(1824,plain,
% 11.31/11.49 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1823, 1819])).
% 11.31/11.49 tff(1825,plain,
% 11.31/11.49 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1826,plain,
% 11.31/11.49 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1827,plain,
% 11.31/11.49 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 11.31/11.49 tff(1828,plain,
% 11.31/11.49 (~m_state_v_press_status(c_s, s0, c_pressatmid)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1827, 1824, 1817])).
% 11.31/11.49 tff(1829,plain,
% 11.31/11.49 (^[X: $i, J0: $i] : refl((m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1830,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1829])).
% 11.31/11.49 tff(1831,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1832,axiom,(![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_109')).
% 11.31/11.49 tff(1833,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 11.31/11.49 tff(1834,plain,(
% 11.31/11.49 ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1833])).
% 11.31/11.49 tff(1835,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1834, 1830])).
% 11.31/11.49 tff(1836,plain,
% 11.31/11.49 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | ((~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1837,plain,
% 11.31/11.49 ((m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0))) <=> ((~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1838,plain,
% 11.31/11.49 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | ((~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid)))),
% 11.31/11.49 inference(monotonicity,[status(thm)],[1837])).
% 11.31/11.49 tff(1839,plain,
% 11.31/11.49 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.31/11.49 inference(transitivity,[status(thm)],[1838, 1836])).
% 11.31/11.49 tff(1840,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1841,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid)),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 11.31/11.49 tff(1842,plain,
% 11.31/11.49 (~node54(c_s, s0)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1841, 1835, 1828])).
% 11.31/11.49 tff(1843,plain,
% 11.31/11.49 (^[Y: $i, X: $i, J0: $i] : refl((node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1844,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1843])).
% 11.31/11.49 tff(1845,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1846,plain,
% 11.31/11.49 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y))), ((((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> ((node53(J0, X) | node54(J0, X) | node55(J0, X, Y)) | (~node56(J0, X, Y))))), rewrite(((node53(J0, X) | node54(J0, X) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))), ((((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1847,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1846])).
% 11.31/11.49 tff(1848,axiom,(![Y: $i, X: $i, J0: $i] : (((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_114')).
% 11.31/11.49 tff(1849,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 11.31/11.49 tff(1850,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1849, 1845])).
% 11.31/11.49 tff(1851,plain,(
% 11.31/11.49 ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1850])).
% 11.31/11.49 tff(1852,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1851, 1844])).
% 11.31/11.49 tff(1853,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1854,plain,
% 11.31/11.49 ((node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1))) <=> (node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1855,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1))))),
% 11.31/11.49 inference(monotonicity,[status(thm)],[1854])).
% 11.31/11.49 tff(1856,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))),
% 11.31/11.49 inference(transitivity,[status(thm)],[1855, 1853])).
% 11.31/11.49 tff(1857,plain,
% 11.31/11.49 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1858,plain,
% 11.31/11.49 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 11.31/11.49 tff(1859,plain,
% 11.31/11.49 (node55(c_s, s0, s1)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1858, 1852, 1842, 1808, 1774])).
% 11.31/11.49 tff(1860,assumption,(m_state_v_midPosP(c_s, s0)), introduced(assumption)).
% 11.31/11.49 tff(1861,plain,
% 11.31/11.49 (^[I0: $i] : refl((~m_state_v_midPosP(I0, s0)) <=> (~m_state_v_midPosP(I0, s0)))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1862,plain,
% 11.31/11.49 (![I0: $i] : (~m_state_v_midPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1861])).
% 11.31/11.49 tff(1863,plain,
% 11.31/11.49 (![I0: $i] : (~m_state_v_midPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1864,axiom,(![I0: $i] : (~m_state_v_midPosP(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_97')).
% 11.31/11.49 tff(1865,plain,
% 11.31/11.49 (![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 11.31/11.49 tff(1866,plain,(
% 11.31/11.49 ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1865])).
% 11.31/11.49 tff(1867,plain,
% 11.31/11.49 (![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1866, 1862])).
% 11.31/11.49 tff(1868,plain,
% 11.31/11.49 ((~![I0: $i] : (~m_state_v_midPosP(I0, s0))) | (~m_state_v_midPosP(c_s, s0))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1869,plain,
% 11.31/11.49 ($false),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1868, 1867, 1860])).
% 11.31/11.49 tff(1870,plain,(~m_state_v_midPosP(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.31/11.49 tff(1871,plain,
% 11.31/11.49 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1872,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1871])).
% 11.31/11.49 tff(1873,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1874,plain,
% 11.31/11.49 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y))) <=> (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1875,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1874])).
% 11.31/11.49 tff(1876,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_111')).
% 11.31/11.49 tff(1877,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 11.31/11.49 tff(1878,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1877, 1873])).
% 11.31/11.49 tff(1879,plain,(
% 11.31/11.49 ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1878])).
% 11.31/11.49 tff(1880,plain,
% 11.31/11.49 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1879, 1872])).
% 11.31/11.49 tff(1881,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1882,plain,
% 11.31/11.49 ((m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1))) <=> (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1883,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1))))),
% 11.31/11.49 inference(monotonicity,[status(thm)],[1882])).
% 11.31/11.49 tff(1884,plain,
% 11.31/11.49 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.31/11.49 inference(transitivity,[status(thm)],[1883, 1881])).
% 11.31/11.49 tff(1885,plain,
% 11.31/11.49 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1886,plain,
% 11.31/11.49 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 11.31/11.49 tff(1887,plain,
% 11.31/11.49 (~m_state_v_midPosP(c_s, s1)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1886, 1880, 1870, 1859])).
% 11.31/11.49 tff(1888,plain,
% 11.31/11.49 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node123(J0, X))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1889,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1888])).
% 11.31/11.49 tff(1890,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1891,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_20')).
% 11.31/11.49 tff(1892,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1891, 1890])).
% 11.31/11.49 tff(1893,plain,(
% 11.31/11.49 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1892])).
% 11.31/11.49 tff(1894,plain,
% 11.31/11.49 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1893, 1889])).
% 11.31/11.49 tff(1895,plain,
% 11.31/11.49 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node123(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node123(c_s, s1)))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1896,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node123(c_s, s1)))),
% 11.31/11.49 inference(quant_inst,[status(thm)],[])).
% 11.31/11.49 tff(1897,plain,
% 11.31/11.49 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node123(c_s, s1))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 11.31/11.49 tff(1898,plain,
% 11.31/11.49 (m_state_v_midPosP(c_s, s1) | (~node123(c_s, s1))),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1897, 1894])).
% 11.31/11.49 tff(1899,plain,
% 11.31/11.49 (~node123(c_s, s1)),
% 11.31/11.49 inference(unit_resolution,[status(thm)],[1898, 1887])).
% 11.31/11.49 tff(1900,plain,
% 11.31/11.49 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1901,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1900])).
% 11.31/11.49 tff(1902,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(rewrite,[status(thm)],[])).
% 11.31/11.49 tff(1903,plain,
% 11.31/11.49 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))))),
% 11.31/11.49 inference(bind,[status(th)],[])).
% 11.31/11.49 tff(1904,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(quant_intro,[status(thm)],[1903])).
% 11.31/11.49 tff(1905,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_17')).
% 11.31/11.49 tff(1906,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 11.31/11.49 tff(1907,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(modus_ponens,[status(thm)],[1906, 1902])).
% 11.31/11.49 tff(1908,plain,(
% 11.31/11.49 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.49 inference(skolemize,[status(sab)],[1907])).
% 11.31/11.49 tff(1909,plain,
% 11.31/11.49 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1908, 1901])).
% 11.31/11.50 tff(1910,plain,
% 11.31/11.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1911,plain,
% 11.31/11.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1912,plain,
% 11.31/11.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1)),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 11.31/11.50 tff(1913,plain,
% 11.31/11.50 (node22(c_s, s0, s1)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1912, 28, 1909, 39])).
% 11.31/11.50 tff(1914,plain,
% 11.31/11.50 (^[I0: $i] : refl(m_state_v_TEM(I0, s0, c_idle) <=> m_state_v_TEM(I0, s0, c_idle))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1915,plain,
% 11.31/11.50 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1914])).
% 11.31/11.50 tff(1916,plain,
% 11.31/11.50 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1917,axiom,(![I0: $i] : m_state_v_TEM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_82')).
% 11.31/11.50 tff(1918,plain,
% 11.31/11.50 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 11.31/11.50 tff(1919,plain,(
% 11.31/11.50 ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.31/11.50 inference(skolemize,[status(sab)],[1918])).
% 11.31/11.50 tff(1920,plain,
% 11.31/11.50 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1919, 1915])).
% 11.31/11.50 tff(1921,plain,
% 11.31/11.50 ((~![I0: $i] : m_state_v_TEM(I0, s0, c_idle)) | m_state_v_TEM(c_s, s0, c_idle)),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1922,plain,
% 11.31/11.50 (m_state_v_TEM(c_s, s0, c_idle)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1921, 1920])).
% 11.31/11.50 tff(1923,plain,
% 11.31/11.50 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1924,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1923])).
% 11.31/11.50 tff(1925,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1926,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_38')).
% 11.31/11.50 tff(1927,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 11.31/11.50 tff(1928,plain,(
% 11.31/11.50 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(skolemize,[status(sab)],[1927])).
% 11.31/11.50 tff(1929,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1928, 1924])).
% 11.31/11.50 tff(1930,plain,
% 11.31/11.50 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1931,plain,
% 11.31/11.50 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1932,plain,
% 11.31/11.50 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 11.31/11.50 tff(1933,plain,
% 11.31/11.50 (~m_state_v_TEM(c_s, s0, c_down)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1932, 1929, 1922])).
% 11.31/11.50 tff(1934,plain,
% 11.31/11.50 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1935,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1934])).
% 11.31/11.50 tff(1936,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1937,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_37')).
% 11.31/11.50 tff(1938,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 11.31/11.50 tff(1939,plain,(
% 11.31/11.50 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(skolemize,[status(sab)],[1938])).
% 11.31/11.50 tff(1940,plain,
% 11.31/11.50 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1939, 1935])).
% 11.31/11.50 tff(1941,plain,
% 11.31/11.50 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1942,plain,
% 11.31/11.50 (((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle))) <=> ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1943,plain,
% 11.31/11.50 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up))))),
% 11.31/11.50 inference(monotonicity,[status(thm)],[1942])).
% 11.31/11.50 tff(1944,plain,
% 11.31/11.50 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.31/11.50 inference(transitivity,[status(thm)],[1943, 1941])).
% 11.31/11.50 tff(1945,plain,
% 11.31/11.50 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1946,plain,
% 11.31/11.50 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 11.31/11.50 tff(1947,plain,
% 11.31/11.50 (~m_state_v_TEM(c_s, s0, c_up)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1946, 1940, 1922])).
% 11.31/11.50 tff(1948,plain,
% 11.31/11.50 (^[Y: $i, X: $i, J0: $i] : refl((node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1949,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1948])).
% 11.31/11.50 tff(1950,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1951,plain,
% 11.31/11.50 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> ((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)))), rewrite(((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> (node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> (node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)))), ((((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> ((node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | (~node22(J0, X, Y))))), rewrite(((node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | (~node22(J0, X, Y))) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), ((((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1952,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1951])).
% 11.31/11.50 tff(1953,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_16')).
% 11.31/11.50 tff(1954,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 11.31/11.50 tff(1955,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1954, 1950])).
% 11.31/11.50 tff(1956,plain,(
% 11.31/11.50 ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(skolemize,[status(sab)],[1955])).
% 11.31/11.50 tff(1957,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1956, 1949])).
% 11.31/11.50 tff(1958,plain,
% 11.31/11.50 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1959,plain,
% 11.31/11.50 ((node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down)) <=> (m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1960,plain,
% 11.31/11.50 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1)))),
% 11.31/11.50 inference(monotonicity,[status(thm)],[1959])).
% 11.31/11.50 tff(1961,plain,
% 11.31/11.50 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.31/11.50 inference(transitivity,[status(thm)],[1960, 1958])).
% 11.31/11.50 tff(1962,plain,
% 11.31/11.50 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1963,plain,
% 11.31/11.50 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1)),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 11.31/11.50 tff(1964,plain,
% 11.31/11.50 (node21(c_s, s0, s1)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1963, 1957, 1947, 1933, 1913])).
% 11.31/11.50 tff(1965,plain,
% 11.31/11.50 (^[I0: $i] : refl((~m_state_v_topPos(I0, s0)) <=> (~m_state_v_topPos(I0, s0)))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1966,plain,
% 11.31/11.50 (![I0: $i] : (~m_state_v_topPos(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1965])).
% 11.31/11.50 tff(1967,plain,
% 11.31/11.50 (![I0: $i] : (~m_state_v_topPos(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.31/11.50 inference(rewrite,[status(thm)],[])).
% 11.31/11.50 tff(1968,axiom,(![I0: $i] : (~m_state_v_topPos(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_86')).
% 11.31/11.50 tff(1969,plain,
% 11.31/11.50 (![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 11.31/11.50 tff(1970,plain,(
% 11.31/11.50 ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.31/11.50 inference(skolemize,[status(sab)],[1969])).
% 11.31/11.50 tff(1971,plain,
% 11.31/11.50 (![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.31/11.50 inference(modus_ponens,[status(thm)],[1970, 1966])).
% 11.31/11.50 tff(1972,plain,
% 11.31/11.50 ((~![I0: $i] : (~m_state_v_topPos(I0, s0))) | (~m_state_v_topPos(c_s, s0))),
% 11.31/11.50 inference(quant_inst,[status(thm)],[])).
% 11.31/11.50 tff(1973,plain,
% 11.31/11.50 (~m_state_v_topPos(c_s, s0)),
% 11.31/11.50 inference(unit_resolution,[status(thm)],[1972, 1971])).
% 11.31/11.50 tff(1974,plain,
% 11.31/11.50 (^[Y: $i, X: $i, J0: $i] : refl(((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))))),
% 11.31/11.50 inference(bind,[status(th)],[])).
% 11.31/11.50 tff(1975,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.31/11.50 inference(quant_intro,[status(thm)],[1974])).
% 11.31/11.50 tff(1976,plain,
% 11.31/11.50 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(1977,plain,
% 11.35/11.50 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))))),
% 11.35/11.50 inference(bind,[status(th)],[])).
% 11.35/11.50 tff(1978,plain,
% 11.35/11.50 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(quant_intro,[status(thm)],[1977])).
% 11.35/11.50 tff(1979,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_13')).
% 11.35/11.50 tff(1980,plain,
% 11.35/11.50 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 11.35/11.50 tff(1981,plain,
% 11.35/11.50 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1980, 1976])).
% 11.35/11.50 tff(1982,plain,(
% 11.35/11.50 ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(skolemize,[status(sab)],[1981])).
% 11.35/11.50 tff(1983,plain,
% 11.35/11.50 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1982, 1975])).
% 11.35/11.50 tff(1984,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(1985,plain,
% 11.35/11.50 (((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1))) <=> (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(1986,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1))))),
% 11.35/11.50 inference(monotonicity,[status(thm)],[1985])).
% 11.35/11.50 tff(1987,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.35/11.50 inference(transitivity,[status(thm)],[1986, 1984])).
% 11.35/11.50 tff(1988,plain,
% 11.35/11.50 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))),
% 11.35/11.50 inference(quant_inst,[status(thm)],[])).
% 11.35/11.50 tff(1989,plain,
% 11.35/11.50 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 11.35/11.50 tff(1990,plain,
% 11.35/11.50 (~m_state_v_topPos(c_s, s1)),
% 11.35/11.50 inference(unit_resolution,[status(thm)],[1989, 1983, 1973, 1964])).
% 11.35/11.50 tff(1991,plain,
% 11.35/11.50 (^[X: $i, J0: $i] : refl((m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> (m_state_v_topPos(J0, X) | (~node122(J0, X))))),
% 11.35/11.50 inference(bind,[status(th)],[])).
% 11.35/11.50 tff(1992,plain,
% 11.35/11.50 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.35/11.50 inference(quant_intro,[status(thm)],[1991])).
% 11.35/11.50 tff(1993,plain,
% 11.35/11.50 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(1994,axiom,(![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_9')).
% 11.35/11.50 tff(1995,plain,
% 11.35/11.50 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 11.35/11.50 tff(1996,plain,(
% 11.35/11.50 ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.35/11.50 inference(skolemize,[status(sab)],[1995])).
% 11.35/11.50 tff(1997,plain,
% 11.35/11.50 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[1996, 1992])).
% 11.35/11.50 tff(1998,plain,
% 11.35/11.50 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | ((~node122(c_s, s1)) | m_state_v_topPos(c_s, s1))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (~node122(c_s, s1)) | m_state_v_topPos(c_s, s1))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(1999,plain,
% 11.35/11.50 ((m_state_v_topPos(c_s, s1) | (~node122(c_s, s1))) <=> ((~node122(c_s, s1)) | m_state_v_topPos(c_s, s1))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(2000,plain,
% 11.35/11.50 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | ((~node122(c_s, s1)) | m_state_v_topPos(c_s, s1)))),
% 11.35/11.50 inference(monotonicity,[status(thm)],[1999])).
% 11.35/11.50 tff(2001,plain,
% 11.35/11.50 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (~node122(c_s, s1)) | m_state_v_topPos(c_s, s1))),
% 11.35/11.50 inference(transitivity,[status(thm)],[2000, 1998])).
% 11.35/11.50 tff(2002,plain,
% 11.35/11.50 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))),
% 11.35/11.50 inference(quant_inst,[status(thm)],[])).
% 11.35/11.50 tff(2003,plain,
% 11.35/11.50 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (~node122(c_s, s1)) | m_state_v_topPos(c_s, s1)),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 11.35/11.50 tff(2004,plain,
% 11.35/11.50 (~node122(c_s, s1)),
% 11.35/11.50 inference(unit_resolution,[status(thm)],[2003, 1997, 1990])).
% 11.35/11.50 tff(2005,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(2006,plain,
% 11.35/11.50 ((node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2))) <=> (node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(2007,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2))))),
% 11.35/11.50 inference(monotonicity,[status(thm)],[2006])).
% 11.35/11.50 tff(2008,plain,
% 11.35/11.50 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))),
% 11.35/11.50 inference(transitivity,[status(thm)],[2007, 2005])).
% 11.35/11.50 tff(2009,plain,
% 11.35/11.50 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))),
% 11.35/11.50 inference(quant_inst,[status(thm)],[])).
% 11.35/11.50 tff(2010,plain,
% 11.35/11.50 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s1) | node123(c_s, s1) | node126(c_s, s1) | node129(c_s, s1) | node128(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node124(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2))),
% 11.35/11.50 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 11.35/11.50 tff(2011,plain,
% 11.35/11.50 (node130(c_s, s1, s2)),
% 11.35/11.50 inference(unit_resolution,[status(thm)],[2010, 1602, 2004, 1899, 1760, 1746, 1735, 1721, 1710, 1706, 1702])).
% 11.35/11.50 tff(2012,plain,
% 11.35/11.50 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)))),
% 11.35/11.50 inference(bind,[status(th)],[])).
% 11.35/11.50 tff(2013,plain,
% 11.35/11.50 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.50 inference(quant_intro,[status(thm)],[2012])).
% 11.35/11.50 tff(2014,plain,
% 11.35/11.50 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.50 inference(rewrite,[status(thm)],[])).
% 11.35/11.50 tff(2015,plain,
% 11.35/11.50 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) <=> ((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))), (((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) | (~node130(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))), (((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2016,plain,
% 11.35/11.51 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2015])).
% 11.35/11.51 tff(2017,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_43')).
% 11.35/11.51 tff(2018,plain,
% 11.35/11.51 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 11.35/11.51 tff(2019,plain,
% 11.35/11.51 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2018, 2014])).
% 11.35/11.51 tff(2020,plain,(
% 11.35/11.51 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.51 inference(skolemize,[status(sab)],[2019])).
% 11.35/11.51 tff(2021,plain,
% 11.35/11.51 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2020, 2013])).
% 11.35/11.51 tff(2022,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2023,plain,
% 11.35/11.51 (((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle)) <=> ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2024,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1))))),
% 11.35/11.51 inference(monotonicity,[status(thm)],[2023])).
% 11.35/11.51 tff(2025,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.35/11.51 inference(transitivity,[status(thm)],[2024, 2022])).
% 11.35/11.51 tff(2026,plain,
% 11.35/11.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2027,plain,
% 11.35/11.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 11.35/11.51 tff(2028,plain,
% 11.35/11.51 (m_state_v_A1M(c_s, s1, c_idle)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2027, 2021, 840, 1609])).
% 11.35/11.51 tff(2029,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2030,plain,
% 11.35/11.51 (((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle)) <=> ((~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2031,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2))))),
% 11.35/11.51 inference(monotonicity,[status(thm)],[2030])).
% 11.35/11.51 tff(2032,plain,
% 11.35/11.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2)))),
% 11.35/11.51 inference(transitivity,[status(thm)],[2031, 2029])).
% 11.35/11.51 tff(2033,plain,
% 11.35/11.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2034,plain,
% 11.35/11.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle) | (~node130(c_s, s1, s2))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 11.35/11.51 tff(2035,plain,
% 11.35/11.51 (m_state_v_A1M(c_s, s2, c_idle)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2034, 2021, 2028, 2011])).
% 11.35/11.51 tff(2036,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2037,plain,
% 11.35/11.51 (((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2038,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3)))),
% 11.35/11.51 inference(monotonicity,[status(thm)],[2037])).
% 11.35/11.51 tff(2039,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.35/11.51 inference(transitivity,[status(thm)],[2038, 2036])).
% 11.35/11.51 tff(2040,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2041,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 11.35/11.51 tff(2042,plain,
% 11.35/11.51 (node131(c_s, s2, s3)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2041, 52, 1481, 794])).
% 11.35/11.51 tff(2043,plain,
% 11.35/11.51 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl((node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2044,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2043])).
% 11.35/11.51 tff(2045,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2046,plain,
% 11.35/11.51 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node4(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node4(J0, X, Y)) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2047,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2046])).
% 11.35/11.51 tff(2048,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_12')).
% 11.35/11.51 tff(2049,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 11.35/11.51 tff(2050,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2049, 2045])).
% 11.35/11.51 tff(2051,plain,(
% 11.35/11.51 ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(skolemize,[status(sab)],[2050])).
% 11.35/11.51 tff(2052,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2051, 2044])).
% 11.35/11.51 tff(2053,plain,
% 11.35/11.51 (m_Communication_v_s(c_COM, c_s) <=> m_Communication_v_s(c_COM, c_s)),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2054,axiom,(m_Communication_v_s(c_COM, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 11.35/11.51 tff(2055,plain,
% 11.35/11.51 (m_Communication_v_s(c_COM, c_s)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 11.35/11.51 tff(2056,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2057,plain,
% 11.35/11.51 ((node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2058,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2)))),
% 11.35/11.51 inference(monotonicity,[status(thm)],[2057])).
% 11.35/11.51 tff(2059,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2))),
% 11.35/11.51 inference(transitivity,[status(thm)],[2058, 2056])).
% 11.35/11.51 tff(2060,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2061,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s1, s2)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 11.35/11.51 tff(2062,plain,
% 11.35/11.51 (node4(c_s, s1, s2)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2061, 2055, 2052, 226])).
% 11.35/11.51 tff(2063,plain,
% 11.35/11.51 (^[X: $i, J0: $i] : refl(((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2064,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2063])).
% 11.35/11.51 tff(2065,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2066,plain,
% 11.35/11.51 (^[X: $i, J0: $i] : rewrite((m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X))) <=> ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2067,plain,
% 11.35/11.51 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X))) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2066])).
% 11.35/11.51 tff(2068,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_2')).
% 11.35/11.51 tff(2069,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 11.35/11.51 tff(2070,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2069, 2065])).
% 11.35/11.51 tff(2071,plain,(
% 11.35/11.51 ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(skolemize,[status(sab)],[2070])).
% 11.35/11.51 tff(2072,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2071, 2064])).
% 11.35/11.51 tff(2073,plain,
% 11.35/11.51 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2074,plain,
% 11.35/11.51 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2075,plain,
% 11.35/11.51 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 11.35/11.51 tff(2076,plain,
% 11.35/11.51 (~node1(c_s, s1)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2075, 2072, 1626])).
% 11.35/11.51 tff(2077,plain,
% 11.35/11.51 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2078,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2077])).
% 11.35/11.51 tff(2079,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2080,plain,
% 11.35/11.51 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2081,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2080])).
% 11.35/11.51 tff(2082,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_24')).
% 11.35/11.51 tff(2083,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 11.35/11.51 tff(2084,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2083, 2079])).
% 11.35/11.51 tff(2085,plain,(
% 11.35/11.51 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(skolemize,[status(sab)],[2084])).
% 11.35/11.51 tff(2086,plain,
% 11.35/11.51 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2085, 2078])).
% 11.35/11.51 tff(2087,plain,
% 11.35/11.51 (m_FeedBelt_v_s(c_FB, c_s) <=> m_FeedBelt_v_s(c_FB, c_s)),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2088,axiom,(m_FeedBelt_v_s(c_FB, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_5')).
% 11.35/11.51 tff(2089,plain,
% 11.35/11.51 (m_FeedBelt_v_s(c_FB, c_s)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 11.35/11.51 tff(2090,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2091,plain,
% 11.35/11.51 (((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s))) <=> ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2092,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1)))),
% 11.35/11.51 inference(monotonicity,[status(thm)],[2091])).
% 11.35/11.51 tff(2093,plain,
% 11.35/11.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.35/11.51 inference(transitivity,[status(thm)],[2092, 2090])).
% 11.35/11.51 tff(2094,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2095,plain,
% 11.35/11.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 11.35/11.51 tff(2096,plain,
% 11.35/11.51 (node180(c_s, s0, s1)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2095, 2089, 2086, 39])).
% 11.35/11.51 tff(2097,assumption,(~m_state_v_tl(c_s, s0)), introduced(assumption)).
% 11.35/11.51 tff(2098,plain,
% 11.35/11.51 (^[I0: $i] : refl(m_state_v_tl(I0, s0) <=> m_state_v_tl(I0, s0))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2099,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_tl(I0, s0) <=> ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2098])).
% 11.35/11.51 tff(2100,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_tl(I0, s0) <=> ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2101,axiom,(![I0: $i] : m_state_v_tl(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_84')).
% 11.35/11.51 tff(2102,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_tl(I0, s0)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 11.35/11.51 tff(2103,plain,(
% 11.35/11.51 ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.35/11.51 inference(skolemize,[status(sab)],[2102])).
% 11.35/11.51 tff(2104,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_tl(I0, s0)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2103, 2099])).
% 11.35/11.51 tff(2105,plain,
% 11.35/11.51 ((~![I0: $i] : m_state_v_tl(I0, s0)) | m_state_v_tl(c_s, s0)),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2106,plain,
% 11.35/11.51 ($false),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2105, 2104, 2097])).
% 11.35/11.51 tff(2107,plain,(m_state_v_tl(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.35/11.51 tff(2108,plain,
% 11.35/11.51 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node177(J0, X))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2109,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2108])).
% 11.35/11.51 tff(2110,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2111,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_13')).
% 11.35/11.51 tff(2112,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 11.35/11.51 tff(2113,plain,(
% 11.35/11.51 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.35/11.51 inference(skolemize,[status(sab)],[2112])).
% 11.35/11.51 tff(2114,plain,
% 11.35/11.51 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2113, 2109])).
% 11.35/11.51 tff(2115,plain,
% 11.35/11.51 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2116,plain,
% 11.35/11.51 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2117,plain,
% 11.35/11.51 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0))),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 11.35/11.51 tff(2118,plain,
% 11.35/11.51 (~node177(c_s, s0)),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2117, 2114, 2107])).
% 11.35/11.51 tff(2119,assumption,(~m_state_v_FBM(c_s, s0, c_off)), introduced(assumption)).
% 11.35/11.51 tff(2120,plain,
% 11.35/11.51 (^[I0: $i] : refl(m_state_v_FBM(I0, s0, c_off) <=> m_state_v_FBM(I0, s0, c_off))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2121,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_FBM(I0, s0, c_off) <=> ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2120])).
% 11.35/11.51 tff(2122,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_FBM(I0, s0, c_off) <=> ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2123,axiom,(![I0: $i] : m_state_v_FBM(I0, s0, c_off)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_77')).
% 11.35/11.51 tff(2124,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 11.35/11.51 tff(2125,plain,(
% 11.35/11.51 ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.35/11.51 inference(skolemize,[status(sab)],[2124])).
% 11.35/11.51 tff(2126,plain,
% 11.35/11.51 (![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.35/11.51 inference(modus_ponens,[status(thm)],[2125, 2121])).
% 11.35/11.51 tff(2127,plain,
% 11.35/11.51 ((~![I0: $i] : m_state_v_FBM(I0, s0, c_off)) | m_state_v_FBM(c_s, s0, c_off)),
% 11.35/11.51 inference(quant_inst,[status(thm)],[])).
% 11.35/11.51 tff(2128,plain,
% 11.35/11.51 ($false),
% 11.35/11.51 inference(unit_resolution,[status(thm)],[2127, 2126, 2119])).
% 11.35/11.51 tff(2129,plain,(m_state_v_FBM(c_s, s0, c_off)), inference(lemma,lemma(discharge,[]))).
% 11.35/11.51 tff(2130,plain,
% 11.35/11.51 (^[I0: $i, X: $i] : refl(((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2131,plain,
% 11.35/11.51 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.51 inference(quant_intro,[status(thm)],[2130])).
% 11.35/11.51 tff(2132,plain,
% 11.35/11.51 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.51 inference(rewrite,[status(thm)],[])).
% 11.35/11.51 tff(2133,plain,
% 11.35/11.51 (^[I0: $i, X: $i] : rewrite(((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off))) <=> ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))))),
% 11.35/11.51 inference(bind,[status(th)],[])).
% 11.35/11.51 tff(2134,plain,
% 11.35/11.51 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2133])).
% 11.35/11.52 tff(2135,axiom,(![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_26')).
% 11.35/11.52 tff(2136,plain,
% 11.35/11.52 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 11.35/11.52 tff(2137,plain,
% 11.35/11.52 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2136, 2132])).
% 11.35/11.52 tff(2138,plain,(
% 11.35/11.52 ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2137])).
% 11.35/11.52 tff(2139,plain,
% 11.35/11.52 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2138, 2131])).
% 11.35/11.52 tff(2140,plain,
% 11.35/11.52 (((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | ((~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | (~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2141,plain,
% 11.35/11.52 ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | ((~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2142,plain,
% 11.35/11.52 ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | (~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 11.35/11.52 tff(2143,plain,
% 11.35/11.52 (~m_state_v_FBM(c_s, s0, c_on)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2142, 2139, 2129])).
% 11.35/11.52 tff(2144,plain,
% 11.35/11.52 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node176(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2145,plain,
% 11.35/11.52 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2144])).
% 11.35/11.52 tff(2146,plain,
% 11.35/11.52 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2147,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_1')).
% 11.35/11.52 tff(2148,plain,
% 11.35/11.52 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 11.35/11.52 tff(2149,plain,(
% 11.35/11.52 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2148])).
% 11.35/11.52 tff(2150,plain,
% 11.35/11.52 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2149, 2145])).
% 11.35/11.52 tff(2151,plain,
% 11.35/11.52 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node176(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node176(c_s, s0)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2152,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node176(c_s, s0)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2153,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node176(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node176(c_s, s0))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 11.35/11.52 tff(2154,plain,
% 11.35/11.52 (~node176(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2153, 2150, 2143])).
% 11.35/11.52 tff(2155,plain,
% 11.35/11.52 (^[I0: $i] : refl(m_state_v_pfl(I0, s0) <=> m_state_v_pfl(I0, s0))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2156,plain,
% 11.35/11.52 (![I0: $i] : m_state_v_pfl(I0, s0) <=> ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2155])).
% 11.35/11.52 tff(2157,plain,
% 11.35/11.52 (![I0: $i] : m_state_v_pfl(I0, s0) <=> ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2158,axiom,(![I0: $i] : m_state_v_pfl(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_79')).
% 11.35/11.52 tff(2159,plain,
% 11.35/11.52 (![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 11.35/11.52 tff(2160,plain,(
% 11.35/11.52 ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.35/11.52 inference(skolemize,[status(sab)],[2159])).
% 11.35/11.52 tff(2161,plain,
% 11.35/11.52 (![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2160, 2156])).
% 11.35/11.52 tff(2162,plain,
% 11.35/11.52 ((~![I0: $i] : m_state_v_pfl(I0, s0)) | m_state_v_pfl(c_s, s0)),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2163,plain,
% 11.35/11.52 (m_state_v_pfl(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2162, 2161])).
% 11.35/11.52 tff(2164,plain,
% 11.35/11.52 (^[X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2165,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2164])).
% 11.35/11.52 tff(2166,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2167,axiom,(![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_17')).
% 11.35/11.52 tff(2168,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 11.35/11.52 tff(2169,plain,(
% 11.35/11.52 ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2168])).
% 11.35/11.52 tff(2170,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2169, 2165])).
% 11.35/11.52 tff(2171,plain,
% 11.35/11.52 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2172,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2173,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 11.35/11.52 tff(2174,plain,
% 11.35/11.52 (~node178(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2173, 2170, 2163])).
% 11.35/11.52 tff(2175,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : refl((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2176,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2175])).
% 11.35/11.52 tff(2177,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2178,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node176(J0, X) | node177(J0, X)) | node178(J0, X)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X))), ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) <=> ((node176(J0, X) | node177(J0, X) | node178(J0, X)) | node179(J0, X, Y)))), rewrite(((node176(J0, X) | node177(J0, X) | node178(J0, X)) | node179(J0, X, Y)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y))), ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)))), (((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> ((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)) | (~node180(J0, X, Y))))), rewrite(((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))), (((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2179,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2178])).
% 11.35/11.52 tff(2180,axiom,(![Y: $i, X: $i, J0: $i] : ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_23')).
% 11.35/11.52 tff(2181,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 11.35/11.52 tff(2182,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2181, 2177])).
% 11.35/11.52 tff(2183,plain,(
% 11.35/11.52 ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2182])).
% 11.35/11.52 tff(2184,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2183, 2176])).
% 11.35/11.52 tff(2185,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2186,plain,
% 11.35/11.52 ((node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))) <=> (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2187,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))))),
% 11.35/11.52 inference(monotonicity,[status(thm)],[2186])).
% 11.35/11.52 tff(2188,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.35/11.52 inference(transitivity,[status(thm)],[2187, 2185])).
% 11.35/11.52 tff(2189,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2190,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 11.35/11.52 tff(2191,plain,
% 11.35/11.52 (node179(c_s, s0, s1)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2190, 2184, 2174, 2154, 2118, 2096])).
% 11.35/11.52 tff(2192,plain,
% 11.35/11.52 (^[I0: $i] : refl((~m_state_v_deliv(I0, s0)) <=> (~m_state_v_deliv(I0, s0)))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2193,plain,
% 11.35/11.52 (![I0: $i] : (~m_state_v_deliv(I0, s0)) <=> ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2192])).
% 11.35/11.52 tff(2194,plain,
% 11.35/11.52 (![I0: $i] : (~m_state_v_deliv(I0, s0)) <=> ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2195,axiom,(![I0: $i] : (~m_state_v_deliv(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_78')).
% 11.35/11.52 tff(2196,plain,
% 11.35/11.52 (![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 11.35/11.52 tff(2197,plain,(
% 11.35/11.52 ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2196])).
% 11.35/11.52 tff(2198,plain,
% 11.35/11.52 (![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2197, 2193])).
% 11.35/11.52 tff(2199,plain,
% 11.35/11.52 ((~![I0: $i] : (~m_state_v_deliv(I0, s0))) | (~m_state_v_deliv(c_s, s0))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2200,plain,
% 11.35/11.52 (~m_state_v_deliv(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2199, 2198])).
% 11.35/11.52 tff(2201,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2202,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2201])).
% 11.35/11.52 tff(2203,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2204,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y))) <=> (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2205,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2204])).
% 11.35/11.52 tff(2206,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_19')).
% 11.35/11.52 tff(2207,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 11.35/11.52 tff(2208,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2207, 2203])).
% 11.35/11.52 tff(2209,plain,(
% 11.35/11.52 ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2208])).
% 11.35/11.52 tff(2210,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2209, 2202])).
% 11.35/11.52 tff(2211,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2212,plain,
% 11.35/11.52 ((m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1))) <=> (m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2213,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1))))),
% 11.35/11.52 inference(monotonicity,[status(thm)],[2212])).
% 11.35/11.52 tff(2214,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1)))),
% 11.35/11.52 inference(transitivity,[status(thm)],[2213, 2211])).
% 11.35/11.52 tff(2215,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2216,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s0) | (~m_state_v_deliv(c_s, s1)) | (~node179(c_s, s0, s1))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 11.35/11.52 tff(2217,plain,
% 11.35/11.52 (~m_state_v_deliv(c_s, s1)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2216, 2210, 2200, 2191])).
% 11.35/11.52 tff(2218,plain,
% 11.35/11.52 (^[X: $i, J0: $i] : refl(((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ((~node2(J0, X)) | m_state_v_deliv(J0, X)))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2219,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2218])).
% 11.35/11.52 tff(2220,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2221,plain,
% 11.35/11.52 (^[X: $i, J0: $i] : rewrite((m_state_v_deliv(J0, X) | (~node2(J0, X))) <=> ((~node2(J0, X)) | m_state_v_deliv(J0, X)))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2222,plain,
% 11.35/11.52 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2221])).
% 11.35/11.52 tff(2223,axiom,(![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node2(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_5')).
% 11.35/11.52 tff(2224,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 11.35/11.52 tff(2225,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2224, 2220])).
% 11.35/11.52 tff(2226,plain,(
% 11.35/11.52 ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2225])).
% 11.35/11.52 tff(2227,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2226, 2219])).
% 11.35/11.52 tff(2228,plain,
% 11.35/11.52 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2229,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2230,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s1)) | m_state_v_deliv(c_s, s1)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 11.35/11.52 tff(2231,plain,
% 11.35/11.52 (~node2(c_s, s1)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2230, 2227, 2217])).
% 11.35/11.52 tff(2232,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : refl((node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2233,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2232])).
% 11.35/11.52 tff(2234,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2235,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y))), ((((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> ((node1(J0, X) | node2(J0, X) | node3(J0, X, Y)) | (~node4(J0, X, Y))))), rewrite(((node1(J0, X) | node2(J0, X) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))), ((((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2236,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2235])).
% 11.35/11.52 tff(2237,axiom,(![Y: $i, X: $i, J0: $i] : (((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_11')).
% 11.35/11.52 tff(2238,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 11.35/11.52 tff(2239,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2238, 2234])).
% 11.35/11.52 tff(2240,plain,(
% 11.35/11.52 ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2239])).
% 11.35/11.52 tff(2241,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2240, 2233])).
% 11.35/11.52 tff(2242,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2243,plain,
% 11.35/11.52 ((node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2))) <=> (node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2244,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2)))),
% 11.35/11.52 inference(monotonicity,[status(thm)],[2243])).
% 11.35/11.52 tff(2245,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2))),
% 11.35/11.52 inference(transitivity,[status(thm)],[2244, 2242])).
% 11.35/11.52 tff(2246,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2247,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s1) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | node3(c_s, s1, s2)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 11.35/11.52 tff(2248,plain,
% 11.35/11.52 (node3(c_s, s1, s2)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2247, 2241, 2231, 2076, 2062])).
% 11.35/11.52 tff(2249,plain,
% 11.35/11.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2250,plain,
% 11.35/11.52 ((node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2251,plain,
% 11.35/11.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1)))),
% 11.35/11.52 inference(monotonicity,[status(thm)],[2250])).
% 11.35/11.52 tff(2252,plain,
% 11.35/11.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.35/11.52 inference(transitivity,[status(thm)],[2251, 2249])).
% 11.35/11.52 tff(2253,plain,
% 11.35/11.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2254,plain,
% 11.35/11.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 11.35/11.52 tff(2255,plain,
% 11.35/11.52 (node4(c_s, s0, s1)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2254, 2055, 2052, 39])).
% 11.35/11.52 tff(2256,plain,
% 11.35/11.52 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2257,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2258,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 11.35/11.52 tff(2259,plain,
% 11.35/11.52 (~node1(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2258, 2072, 854])).
% 11.35/11.52 tff(2260,plain,
% 11.35/11.52 (^[X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2261,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2260])).
% 11.35/11.52 tff(2262,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2263,axiom,(![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_6')).
% 11.35/11.52 tff(2264,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 11.35/11.52 tff(2265,plain,(
% 11.35/11.52 ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.35/11.52 inference(skolemize,[status(sab)],[2264])).
% 11.35/11.52 tff(2266,plain,
% 11.35/11.52 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2265, 2261])).
% 11.35/11.52 tff(2267,plain,
% 11.35/11.52 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2268,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2269,plain,
% 11.35/11.52 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 11.35/11.52 tff(2270,plain,
% 11.35/11.52 (~node2(c_s, s0)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2269, 2266, 2163])).
% 11.35/11.52 tff(2271,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2272,plain,
% 11.35/11.52 ((node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))) <=> (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.35/11.52 inference(rewrite,[status(thm)],[])).
% 11.35/11.52 tff(2273,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))))),
% 11.35/11.52 inference(monotonicity,[status(thm)],[2272])).
% 11.35/11.52 tff(2274,plain,
% 11.35/11.52 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.35/11.52 inference(transitivity,[status(thm)],[2273, 2271])).
% 11.35/11.52 tff(2275,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.35/11.52 inference(quant_inst,[status(thm)],[])).
% 11.35/11.52 tff(2276,plain,
% 11.35/11.52 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))),
% 11.35/11.52 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 11.35/11.52 tff(2277,plain,
% 11.35/11.52 (node3(c_s, s0, s1)),
% 11.35/11.52 inference(unit_resolution,[status(thm)],[2276, 2241, 2270, 2259, 2255])).
% 11.35/11.52 tff(2278,plain,
% 11.35/11.52 (^[Y: $i, X: $i, J0: $i] : refl(((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)))),
% 11.35/11.52 inference(bind,[status(th)],[])).
% 11.35/11.52 tff(2279,plain,
% 11.35/11.52 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.52 inference(quant_intro,[status(thm)],[2278])).
% 11.35/11.53 tff(2280,plain,
% 11.35/11.53 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2281,plain,
% 11.35/11.53 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))), (((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) | (~node3(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) | (~node3(J0, X, Y))) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))), (((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))))),
% 11.35/11.53 inference(bind,[status(th)],[])).
% 11.35/11.53 tff(2282,plain,
% 11.35/11.53 (![Y: $i, X: $i, J0: $i] : ((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(quant_intro,[status(thm)],[2281])).
% 11.35/11.53 tff(2283,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_7')).
% 11.35/11.53 tff(2284,plain,
% 11.35/11.53 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 11.35/11.53 tff(2285,plain,
% 11.35/11.53 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2284, 2280])).
% 11.35/11.53 tff(2286,plain,(
% 11.35/11.53 ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(skolemize,[status(sab)],[2285])).
% 11.35/11.53 tff(2287,plain,
% 11.35/11.53 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2286, 2279])).
% 11.35/11.53 tff(2288,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1)))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2289,plain,
% 11.35/11.53 (((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1)) <=> (m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1)))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2290,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1))))),
% 11.35/11.53 inference(monotonicity,[status(thm)],[2289])).
% 11.35/11.53 tff(2291,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1)))),
% 11.35/11.53 inference(transitivity,[status(thm)],[2290, 2288])).
% 11.35/11.53 tff(2292,plain,
% 11.35/11.53 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))),
% 11.35/11.53 inference(quant_inst,[status(thm)],[])).
% 11.35/11.53 tff(2293,plain,
% 11.35/11.53 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s1) | (~m_state_v_tl(c_s, s0)) | (~node3(c_s, s0, s1))),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 11.35/11.53 tff(2294,plain,
% 11.35/11.53 (m_state_v_tl(c_s, s1)),
% 11.35/11.53 inference(unit_resolution,[status(thm)],[2293, 2287, 2107, 2277])).
% 11.35/11.53 tff(2295,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2296,plain,
% 11.35/11.53 (((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2)) <=> ((~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2297,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2))))),
% 11.35/11.53 inference(monotonicity,[status(thm)],[2296])).
% 11.35/11.53 tff(2298,plain,
% 11.35/11.53 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)))),
% 11.35/11.53 inference(transitivity,[status(thm)],[2297, 2295])).
% 11.35/11.53 tff(2299,plain,
% 11.35/11.53 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))),
% 11.35/11.53 inference(quant_inst,[status(thm)],[])).
% 11.35/11.53 tff(2300,plain,
% 11.35/11.53 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2))),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 11.35/11.53 tff(2301,plain,
% 11.35/11.53 (m_state_v_tl(c_s, s2)),
% 11.35/11.53 inference(unit_resolution,[status(thm)],[2300, 2287, 2294, 2248])).
% 11.35/11.53 tff(2302,plain,
% 11.35/11.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))),
% 11.35/11.53 inference(rewrite,[status(thm)],[])).
% 11.35/11.53 tff(2303,plain,
% 11.35/11.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))),
% 11.35/11.53 inference(quant_inst,[status(thm)],[])).
% 11.35/11.53 tff(2304,plain,
% 11.35/11.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2)),
% 11.35/11.53 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 11.37/11.53 tff(2305,plain,
% 11.37/11.53 (node32(c_s, s1, s2)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2304, 28, 825, 226])).
% 11.37/11.53 tff(2306,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2307,plain,
% 11.37/11.53 (((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend))) <=> (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2308,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1))))),
% 11.37/11.53 inference(monotonicity,[status(thm)],[2307])).
% 11.37/11.53 tff(2309,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.37/11.53 inference(transitivity,[status(thm)],[2308, 2306])).
% 11.37/11.53 tff(2310,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2311,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 11.37/11.53 tff(2312,plain,
% 11.37/11.53 (~m_state_v_A1M(c_s, s1, c_extend)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2311, 1619, 880, 1609])).
% 11.37/11.53 tff(2313,plain,
% 11.37/11.53 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2314,plain,
% 11.37/11.53 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2315,plain,
% 11.37/11.53 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 11.37/11.53 tff(2316,plain,
% 11.37/11.53 (~node29(c_s, s1)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2315, 887, 2312])).
% 11.37/11.53 tff(2317,plain,
% 11.37/11.53 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2318,plain,
% 11.37/11.53 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2319,plain,
% 11.37/11.53 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress)),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 11.37/11.53 tff(2320,plain,
% 11.37/11.53 (~node30(c_s, s1)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2319, 864, 1424])).
% 11.37/11.53 tff(2321,plain,
% 11.37/11.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2322,plain,
% 11.37/11.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2323,plain,
% 11.37/11.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 11.37/11.53 tff(2324,plain,
% 11.37/11.53 (node31(c_s, s1, s2)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2323, 904, 1626, 2320, 2316, 2305])).
% 11.37/11.53 tff(2325,plain,
% 11.37/11.53 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)))),
% 11.37/11.53 inference(bind,[status(th)],[])).
% 11.37/11.53 tff(2326,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(quant_intro,[status(thm)],[2325])).
% 11.37/11.53 tff(2327,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2328,plain,
% 11.37/11.53 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) <=> ((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))), (((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) | (~node31(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))), (((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))))),
% 11.37/11.53 inference(bind,[status(th)],[])).
% 11.37/11.53 tff(2329,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(quant_intro,[status(thm)],[2328])).
% 11.37/11.53 tff(2330,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_40')).
% 11.37/11.53 tff(2331,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 11.37/11.53 tff(2332,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2331, 2327])).
% 11.37/11.53 tff(2333,plain,(
% 11.37/11.53 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(skolemize,[status(sab)],[2332])).
% 11.37/11.53 tff(2334,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2333, 2326])).
% 11.37/11.53 tff(2335,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2336,plain,
% 11.37/11.53 (((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted)) <=> ((~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2337,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1))))),
% 11.37/11.53 inference(monotonicity,[status(thm)],[2336])).
% 11.37/11.53 tff(2338,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1)))),
% 11.37/11.53 inference(transitivity,[status(thm)],[2337, 2335])).
% 11.37/11.53 tff(2339,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2340,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted) | (~node31(c_s, s0, s1))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 11.37/11.53 tff(2341,plain,
% 11.37/11.53 (m_state_v_a1ext(c_s, s1, c_retracted)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2340, 2334, 920, 911])).
% 11.37/11.53 tff(2342,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2343,plain,
% 11.37/11.53 (((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted)) <=> (m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2344,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2))))),
% 11.37/11.53 inference(monotonicity,[status(thm)],[2343])).
% 11.37/11.53 tff(2345,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2)))),
% 11.37/11.53 inference(transitivity,[status(thm)],[2344, 2342])).
% 11.37/11.53 tff(2346,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2347,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s2, c_retracted) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node31(c_s, s1, s2))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 11.37/11.53 tff(2348,plain,
% 11.37/11.53 (m_state_v_a1ext(c_s, s2, c_retracted)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2347, 2334, 2341, 2324])).
% 11.37/11.53 tff(2349,plain,
% 11.37/11.53 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)))),
% 11.37/11.53 inference(bind,[status(th)],[])).
% 11.37/11.53 tff(2350,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(quant_intro,[status(thm)],[2349])).
% 11.37/11.53 tff(2351,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2352,plain,
% 11.37/11.53 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) <=> ((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))), (((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> (((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) | (~node144(J0, X, Y))))), rewrite((((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))), (((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))))),
% 11.37/11.53 inference(bind,[status(th)],[])).
% 11.37/11.53 tff(2353,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(quant_intro,[status(thm)],[2352])).
% 11.37/11.53 tff(2354,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_113')).
% 11.37/11.53 tff(2355,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 11.37/11.53 tff(2356,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2355, 2351])).
% 11.37/11.53 tff(2357,plain,(
% 11.37/11.53 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(skolemize,[status(sab)],[2356])).
% 11.37/11.53 tff(2358,plain,
% 11.37/11.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2357, 2350])).
% 11.37/11.53 tff(2359,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2360,plain,
% 11.37/11.53 (((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off)) <=> (m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1)))),
% 11.37/11.53 inference(rewrite,[status(thm)],[])).
% 11.37/11.53 tff(2361,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1))))),
% 11.37/11.53 inference(monotonicity,[status(thm)],[2360])).
% 11.37/11.53 tff(2362,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1)))),
% 11.37/11.53 inference(transitivity,[status(thm)],[2361, 2359])).
% 11.37/11.53 tff(2363,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))),
% 11.37/11.53 inference(quant_inst,[status(thm)],[])).
% 11.37/11.53 tff(2364,plain,
% 11.37/11.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s1, c_off) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~node144(c_s, s0, s1))),
% 11.37/11.53 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 11.37/11.53 tff(2365,plain,
% 11.37/11.53 (m_state_v_A1Mag(c_s, s1, c_off)),
% 11.37/11.53 inference(unit_resolution,[status(thm)],[2364, 2358, 1044, 1035])).
% 11.37/11.53 tff(2366,plain,
% 11.37/11.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2367,plain,
% 11.37/11.54 (((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off)) <=> ((~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2368,plain,
% 11.37/11.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off)))),
% 11.37/11.54 inference(monotonicity,[status(thm)],[2367])).
% 11.37/11.54 tff(2369,plain,
% 11.37/11.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off))),
% 11.37/11.54 inference(transitivity,[status(thm)],[2368, 2366])).
% 11.37/11.54 tff(2370,plain,
% 11.37/11.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2371,plain,
% 11.37/11.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 11.37/11.54 tff(2372,plain,
% 11.37/11.54 ((~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s2, c_off)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2371, 2358])).
% 11.37/11.54 tff(2373,plain,
% 11.37/11.54 ((~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2372, 1005])).
% 11.37/11.54 tff(2374,plain,
% 11.37/11.54 (m_state_v_A1Mag(c_s, s2, c_off)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2373, 2365])).
% 11.37/11.54 tff(2375,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2376,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2375])).
% 11.37/11.54 tff(2377,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2378,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2379,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2378])).
% 11.37/11.54 tff(2380,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_35')).
% 11.37/11.54 tff(2381,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 11.37/11.54 tff(2382,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2381, 2377])).
% 11.37/11.54 tff(2383,plain,(
% 11.37/11.54 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(skolemize,[status(sab)],[2382])).
% 11.37/11.54 tff(2384,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2383, 2376])).
% 11.37/11.54 tff(2385,plain,
% 11.37/11.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2386,plain,
% 11.37/11.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2387,plain,
% 11.37/11.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2386, 2385])).
% 11.37/11.54 tff(2388,plain,
% 11.37/11.54 (node28(c_s, s1, s2)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2387, 28, 2384, 226])).
% 11.37/11.54 tff(2389,assumption,(~m_state_v_minRot(c_s, s0)), introduced(assumption)).
% 11.37/11.54 tff(2390,plain,
% 11.37/11.54 (^[I0: $i] : refl(m_state_v_minRot(I0, s0) <=> m_state_v_minRot(I0, s0))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2391,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_minRot(I0, s0) <=> ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2390])).
% 11.37/11.54 tff(2392,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_minRot(I0, s0) <=> ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2393,axiom,(![I0: $i] : m_state_v_minRot(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_81')).
% 11.37/11.54 tff(2394,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 11.37/11.54 tff(2395,plain,(
% 11.37/11.54 ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/11.54 inference(skolemize,[status(sab)],[2394])).
% 11.37/11.54 tff(2396,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2395, 2391])).
% 11.37/11.54 tff(2397,plain,
% 11.37/11.54 ((~![I0: $i] : m_state_v_minRot(I0, s0)) | m_state_v_minRot(c_s, s0)),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2398,plain,
% 11.37/11.54 ($false),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2397, 2396, 2389])).
% 11.37/11.54 tff(2399,plain,(m_state_v_minRot(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.54 tff(2400,assumption,(~m_state_v_botPos(c_s, s0)), introduced(assumption)).
% 11.37/11.54 tff(2401,plain,
% 11.37/11.54 (^[I0: $i] : refl(m_state_v_botPos(I0, s0) <=> m_state_v_botPos(I0, s0))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2402,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_botPos(I0, s0) <=> ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2401])).
% 11.37/11.54 tff(2403,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_botPos(I0, s0) <=> ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2404,axiom,(![I0: $i] : m_state_v_botPos(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_80')).
% 11.37/11.54 tff(2405,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2404, 2403])).
% 11.37/11.54 tff(2406,plain,(
% 11.37/11.54 ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/11.54 inference(skolemize,[status(sab)],[2405])).
% 11.37/11.54 tff(2407,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2406, 2402])).
% 11.37/11.54 tff(2408,plain,
% 11.37/11.54 ((~![I0: $i] : m_state_v_botPos(I0, s0)) | m_state_v_botPos(c_s, s0)),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2409,plain,
% 11.37/11.54 ($false),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2408, 2407, 2400])).
% 11.37/11.54 tff(2410,plain,(m_state_v_botPos(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.54 tff(2411,assumption,(~m_state_v_TRM(c_s, s0, c_idle)), introduced(assumption)).
% 11.37/11.54 tff(2412,plain,
% 11.37/11.54 (^[I0: $i] : refl(m_state_v_TRM(I0, s0, c_idle) <=> m_state_v_TRM(I0, s0, c_idle))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2413,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2412])).
% 11.37/11.54 tff(2414,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2415,axiom,(![I0: $i] : m_state_v_TRM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_83')).
% 11.37/11.54 tff(2416,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 11.37/11.54 tff(2417,plain,(
% 11.37/11.54 ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/11.54 inference(skolemize,[status(sab)],[2416])).
% 11.37/11.54 tff(2418,plain,
% 11.37/11.54 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2417, 2413])).
% 11.37/11.54 tff(2419,plain,
% 11.37/11.54 ((~![I0: $i] : m_state_v_TRM(I0, s0, c_idle)) | m_state_v_TRM(c_s, s0, c_idle)),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2420,plain,
% 11.37/11.54 ($false),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2419, 2418, 2411])).
% 11.37/11.54 tff(2421,plain,(m_state_v_TRM(c_s, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.54 tff(2422,assumption,(~node169(c_s, s0, s1)), introduced(assumption)).
% 11.37/11.54 tff(2423,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2424,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2423])).
% 11.37/11.54 tff(2425,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2426,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2427,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2426])).
% 11.37/11.54 tff(2428,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_22')).
% 11.37/11.54 tff(2429,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 11.37/11.54 tff(2430,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2429, 2425])).
% 11.37/11.54 tff(2431,plain,(
% 11.37/11.54 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(skolemize,[status(sab)],[2430])).
% 11.37/11.54 tff(2432,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2431, 2424])).
% 11.37/11.54 tff(2433,plain,
% 11.37/11.54 (m_ERTable_v_s(c_ERT, c_s) <=> m_ERTable_v_s(c_ERT, c_s)),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2434,axiom,(m_ERTable_v_s(c_ERT, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 11.37/11.54 tff(2435,plain,
% 11.37/11.54 (m_ERTable_v_s(c_ERT, c_s)),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 11.37/11.54 tff(2436,plain,
% 11.37/11.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2437,plain,
% 11.37/11.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2438,plain,
% 11.37/11.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 11.37/11.54 tff(2439,plain,
% 11.37/11.54 ($false),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2438, 2435, 2432, 39, 2422])).
% 11.37/11.54 tff(2440,plain,(node169(c_s, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.54 tff(2441,plain,
% 11.37/11.54 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2442,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2441])).
% 11.37/11.54 tff(2443,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2444,plain,
% 11.37/11.54 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_clockwise)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~node169(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2445,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2444])).
% 11.37/11.54 tff(2446,axiom,(![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_17')).
% 11.37/11.54 tff(2447,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 11.37/11.54 tff(2448,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2447, 2443])).
% 11.37/11.54 tff(2449,plain,(
% 11.37/11.54 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(skolemize,[status(sab)],[2448])).
% 11.37/11.54 tff(2450,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2449, 2442])).
% 11.37/11.54 tff(2451,plain,
% 11.37/11.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2452,plain,
% 11.37/11.54 (((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle))) <=> ((~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2453,plain,
% 11.37/11.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0))))),
% 11.37/11.54 inference(monotonicity,[status(thm)],[2452])).
% 11.37/11.54 tff(2454,plain,
% 11.37/11.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)))),
% 11.37/11.54 inference(transitivity,[status(thm)],[2453, 2451])).
% 11.37/11.54 tff(2455,plain,
% 11.37/11.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2456,plain,
% 11.37/11.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2455, 2454])).
% 11.37/11.54 tff(2457,plain,
% 11.37/11.54 (m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_tl(c_s, s0))),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2456, 2450, 2440, 1922, 2421, 2410])).
% 11.37/11.54 tff(2458,plain,
% 11.37/11.54 (m_state_v_TRM(c_s, s1, c_clockwise)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2457, 2399, 2107])).
% 11.37/11.54 tff(2459,plain,
% 11.37/11.54 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2460,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2459])).
% 11.37/11.54 tff(2461,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2462,plain,
% 11.37/11.54 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2463,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2462])).
% 11.37/11.54 tff(2464,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_32')).
% 11.37/11.54 tff(2465,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 11.37/11.54 tff(2466,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2465, 2461])).
% 11.37/11.54 tff(2467,plain,(
% 11.37/11.54 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(skolemize,[status(sab)],[2466])).
% 11.37/11.54 tff(2468,plain,
% 11.37/11.54 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2467, 2460])).
% 11.37/11.54 tff(2469,plain,
% 11.37/11.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2470,plain,
% 11.37/11.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))),
% 11.37/11.54 inference(quant_inst,[status(thm)],[])).
% 11.37/11.54 tff(2471,plain,
% 11.37/11.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2))),
% 11.37/11.54 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 11.37/11.54 tff(2472,plain,
% 11.37/11.54 (m_state_v_maxRot(c_s, s2)),
% 11.37/11.54 inference(unit_resolution,[status(thm)],[2471, 2468, 2458, 2388])).
% 11.37/11.54 tff(2473,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)))),
% 11.37/11.54 inference(bind,[status(th)],[])).
% 11.37/11.54 tff(2474,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.54 inference(quant_intro,[status(thm)],[2473])).
% 11.37/11.54 tff(2475,plain,
% 11.37/11.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.54 inference(rewrite,[status(thm)],[])).
% 11.37/11.54 tff(2476,plain,
% 11.37/11.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2477,plain,
% 11.37/11.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2476])).
% 11.37/11.55 tff(2478,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_44')).
% 11.37/11.55 tff(2479,plain,
% 11.37/11.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2478, 2477])).
% 11.37/11.55 tff(2480,plain,
% 11.37/11.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2479, 2475])).
% 11.37/11.55 tff(2481,plain,(
% 11.37/11.55 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.55 inference(skolemize,[status(sab)],[2480])).
% 11.37/11.55 tff(2482,plain,
% 11.37/11.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2481, 2474])).
% 11.37/11.55 tff(2483,plain,
% 11.37/11.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2484,plain,
% 11.37/11.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))),
% 11.37/11.55 inference(quant_inst,[status(thm)],[])).
% 11.37/11.55 tff(2485,plain,
% 11.37/11.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1)),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 11.37/11.55 tff(2486,plain,
% 11.37/11.55 (node175(c_s, s0, s1)),
% 11.37/11.55 inference(unit_resolution,[status(thm)],[2485, 2435, 2482, 39])).
% 11.37/11.55 tff(2487,plain,
% 11.37/11.55 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2488,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2487])).
% 11.37/11.55 tff(2489,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2490,plain,
% 11.37/11.55 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TEM(J0, Y, c_up)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2491,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2490])).
% 11.37/11.55 tff(2492,axiom,(![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_39')).
% 11.37/11.55 tff(2493,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 11.37/11.55 tff(2494,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2493, 2489])).
% 11.37/11.55 tff(2495,plain,(
% 11.37/11.55 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(skolemize,[status(sab)],[2494])).
% 11.37/11.55 tff(2496,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2495, 2488])).
% 11.37/11.55 tff(2497,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | (m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2498,plain,
% 11.37/11.55 (((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up)) <=> (m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2499,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | (m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1))))),
% 11.37/11.55 inference(monotonicity,[status(thm)],[2498])).
% 11.37/11.55 tff(2500,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1)))),
% 11.37/11.55 inference(transitivity,[status(thm)],[2499, 2497])).
% 11.37/11.55 tff(2501,plain,
% 11.37/11.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))),
% 11.37/11.55 inference(quant_inst,[status(thm)],[])).
% 11.37/11.55 tff(2502,plain,
% 11.37/11.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | m_state_v_TEM(c_s, s1, c_up) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~node175(c_s, s0, s1))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 11.37/11.55 tff(2503,plain,
% 11.37/11.55 (m_state_v_TEM(c_s, s1, c_up)),
% 11.37/11.55 inference(unit_resolution,[status(thm)],[2502, 2496, 1922, 2421, 2399, 2410, 2107, 2486])).
% 11.37/11.55 tff(2504,plain,
% 11.37/11.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2505,plain,
% 11.37/11.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))),
% 11.37/11.55 inference(quant_inst,[status(thm)],[])).
% 11.37/11.55 tff(2506,plain,
% 11.37/11.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2)),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 11.37/11.55 tff(2507,plain,
% 11.37/11.55 (node22(c_s, s1, s2)),
% 11.37/11.55 inference(unit_resolution,[status(thm)],[2506, 28, 1909, 226])).
% 11.37/11.55 tff(2508,plain,
% 11.37/11.55 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2509,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2508])).
% 11.37/11.55 tff(2510,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2511,plain,
% 11.37/11.55 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y))) <=> (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2512,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2511])).
% 11.37/11.55 tff(2513,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_14')).
% 11.37/11.55 tff(2514,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 11.37/11.55 tff(2515,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2514, 2510])).
% 11.37/11.55 tff(2516,plain,(
% 11.37/11.55 ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(skolemize,[status(sab)],[2515])).
% 11.37/11.55 tff(2517,plain,
% 11.37/11.55 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2516, 2509])).
% 11.37/11.55 tff(2518,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2519,plain,
% 11.37/11.55 ((m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up))) <=> ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2520,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2))))),
% 11.37/11.55 inference(monotonicity,[status(thm)],[2519])).
% 11.37/11.55 tff(2521,plain,
% 11.37/11.55 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)))),
% 11.37/11.55 inference(transitivity,[status(thm)],[2520, 2518])).
% 11.37/11.55 tff(2522,plain,
% 11.37/11.55 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.37/11.55 inference(quant_inst,[status(thm)],[])).
% 11.37/11.55 tff(2523,plain,
% 11.37/11.55 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 11.37/11.55 tff(2524,plain,
% 11.37/11.55 ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_topPos(c_s, s2)),
% 11.37/11.55 inference(unit_resolution,[status(thm)],[2523, 2517, 2507])).
% 11.37/11.55 tff(2525,plain,
% 11.37/11.55 (m_state_v_topPos(c_s, s2)),
% 11.37/11.55 inference(unit_resolution,[status(thm)],[2524, 2503])).
% 11.37/11.55 tff(2526,plain,
% 11.37/11.55 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2527,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2526])).
% 11.37/11.55 tff(2528,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2529,plain,
% 11.37/11.55 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) <=> ((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))), (((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> (((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) | (~node148(J0, X, Y))))), rewrite((((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))), (((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))))),
% 11.37/11.55 inference(bind,[status(th)],[])).
% 11.37/11.55 tff(2530,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(quant_intro,[status(thm)],[2529])).
% 11.37/11.55 tff(2531,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_125')).
% 11.37/11.55 tff(2532,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 11.37/11.55 tff(2533,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2532, 2528])).
% 11.37/11.55 tff(2534,plain,(
% 11.37/11.55 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(skolemize,[status(sab)],[2533])).
% 11.37/11.55 tff(2535,plain,
% 11.37/11.55 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.37/11.55 inference(modus_ponens,[status(thm)],[2534, 2527])).
% 11.37/11.55 tff(2536,plain,
% 11.37/11.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2537,plain,
% 11.37/11.55 (((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off)) <=> (m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1)))),
% 11.37/11.55 inference(rewrite,[status(thm)],[])).
% 11.37/11.55 tff(2538,plain,
% 11.37/11.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1))))),
% 11.37/11.55 inference(monotonicity,[status(thm)],[2537])).
% 11.37/11.55 tff(2539,plain,
% 11.37/11.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1)))),
% 11.37/11.56 inference(transitivity,[status(thm)],[2538, 2536])).
% 11.37/11.56 tff(2540,plain,
% 11.37/11.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))),
% 11.37/11.56 inference(quant_inst,[status(thm)],[])).
% 11.37/11.56 tff(2541,plain,
% 11.37/11.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s1, c_off) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~node148(c_s, s0, s1))),
% 11.37/11.56 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 11.37/11.56 tff(2542,plain,
% 11.37/11.56 (m_state_v_A2Mag(c_s, s1, c_off)),
% 11.37/11.56 inference(unit_resolution,[status(thm)],[2541, 2535, 440, 431])).
% 11.37/11.56 tff(2543,plain,
% 11.37/11.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2)))),
% 11.37/11.56 inference(rewrite,[status(thm)],[])).
% 11.37/11.56 tff(2544,plain,
% 11.37/11.56 (((~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | m_state_v_A2Mag(c_s, s2, c_off)) <=> (m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2)))),
% 11.37/11.56 inference(rewrite,[status(thm)],[])).
% 11.37/11.56 tff(2545,plain,
% 11.37/11.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | m_state_v_A2Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2))))),
% 11.37/11.56 inference(monotonicity,[status(thm)],[2544])).
% 11.37/11.56 tff(2546,plain,
% 11.37/11.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | m_state_v_A2Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2)))),
% 11.37/11.56 inference(transitivity,[status(thm)],[2545, 2543])).
% 11.37/11.56 tff(2547,plain,
% 11.37/11.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s1, s2)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | m_state_v_A2Mag(c_s, s2, c_off))),
% 11.37/11.56 inference(quant_inst,[status(thm)],[])).
% 11.37/11.56 tff(2548,plain,
% 11.37/11.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s2, c_off) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~node148(c_s, s1, s2))),
% 11.37/11.56 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 11.37/11.56 tff(2549,plain,
% 11.37/11.56 (m_state_v_A2Mag(c_s, s2, c_off)),
% 11.37/11.56 inference(unit_resolution,[status(thm)],[2548, 2535, 2542, 1117])).
% 11.37/11.56 tff(2550,plain,
% 11.37/11.56 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))),
% 11.37/11.56 inference(bind,[status(th)],[])).
% 11.37/11.56 tff(2551,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(quant_intro,[status(thm)],[2550])).
% 11.37/11.56 tff(2552,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(rewrite,[status(thm)],[])).
% 11.37/11.56 tff(2553,plain,
% 11.37/11.56 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_topPos(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | m_state_v_A1M(J0, Y, c_extend)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | m_state_v_A1M(J0, Y, c_extend)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~node131(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))))),
% 11.37/11.56 inference(bind,[status(th)],[])).
% 11.37/11.56 tff(2554,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(quant_intro,[status(thm)],[2553])).
% 11.37/11.56 tff(2555,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_45')).
% 11.37/11.56 tff(2556,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 11.37/11.56 tff(2557,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(modus_ponens,[status(thm)],[2556, 2552])).
% 11.37/11.56 tff(2558,plain,(
% 11.37/11.56 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(skolemize,[status(sab)],[2557])).
% 11.37/11.56 tff(2559,plain,
% 11.37/11.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.56 inference(modus_ponens,[status(thm)],[2558, 2551])).
% 11.37/11.56 tff(2560,plain,
% 11.37/11.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3)))),
% 11.37/11.56 inference(rewrite,[status(thm)],[])).
% 11.37/11.56 tff(2561,plain,
% 11.37/11.56 (((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle))) <=> (m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3)))),
% 11.37/11.56 inference(rewrite,[status(thm)],[])).
% 11.37/11.56 tff(2562,plain,
% 11.37/11.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3))))),
% 11.37/11.56 inference(monotonicity,[status(thm)],[2561])).
% 11.37/11.56 tff(2563,plain,
% 11.37/11.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3)))),
% 11.37/11.56 inference(transitivity,[status(thm)],[2562, 2560])).
% 11.37/11.56 tff(2564,plain,
% 11.37/11.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))),
% 11.37/11.56 inference(quant_inst,[status(thm)],[])).
% 11.37/11.56 tff(2565,plain,
% 11.37/11.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~node131(c_s, s2, s3))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 11.37/11.57 tff(2566,plain,
% 11.37/11.57 (m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle))),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2565, 2559, 2549, 725, 2525, 2472, 2374, 2348, 2301, 2042])).
% 11.37/11.57 tff(2567,plain,
% 11.37/11.57 (m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2566, 2035])).
% 11.37/11.57 tff(2568,plain,
% 11.37/11.57 (m_state_v_A1M(c_s, s3, c_extend)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2567, 1695, 516, 1458])).
% 11.37/11.57 tff(2569,plain,
% 11.37/11.57 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2570,plain,
% 11.37/11.57 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2571,plain,
% 11.37/11.57 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 11.37/11.57 tff(2572,plain,
% 11.37/11.57 (~m_state_v_A1M(c_s, s3, c_idle)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2571, 875, 2568])).
% 11.37/11.57 tff(2573,plain,
% 11.37/11.57 (^[X: $i, J0: $i] : refl(((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.57 inference(bind,[status(th)],[])).
% 11.37/11.57 tff(2574,plain,
% 11.37/11.57 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(quant_intro,[status(thm)],[2573])).
% 11.37/11.57 tff(2575,plain,
% 11.37/11.57 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2576,plain,
% 11.37/11.57 (^[X: $i, J0: $i] : rewrite((m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X))) <=> ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)))),
% 11.37/11.57 inference(bind,[status(th)],[])).
% 11.37/11.57 tff(2577,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(quant_intro,[status(thm)],[2576])).
% 11.37/11.57 tff(2578,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_5')).
% 11.37/11.57 tff(2579,plain,
% 11.37/11.57 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 11.37/11.57 tff(2580,plain,
% 11.37/11.57 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2579, 2575])).
% 11.37/11.57 tff(2581,plain,(
% 11.37/11.57 ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(skolemize,[status(sab)],[2580])).
% 11.37/11.57 tff(2582,plain,
% 11.37/11.57 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2581, 2574])).
% 11.37/11.57 tff(2583,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2584,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2585,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 11.37/11.57 tff(2586,plain,
% 11.37/11.57 (~node122(c_s, s3)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2585, 2582, 2572])).
% 11.37/11.57 tff(2587,assumption,(m_state_v_A1M(c_s, s3, c_retract)), introduced(assumption)).
% 11.37/11.57 tff(2588,plain,
% 11.37/11.57 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2589,plain,
% 11.37/11.57 (((~m_state_v_A1M(c_s, s3, c_retract)) | (~m_state_v_A1M(c_s, s3, c_idle))) <=> ((~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2590,plain,
% 11.37/11.57 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | (~m_state_v_A1M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract))))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2589])).
% 11.37/11.57 tff(2591,plain,
% 11.37/11.57 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | (~m_state_v_A1M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2590, 2588])).
% 11.37/11.57 tff(2592,plain,
% 11.37/11.57 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | (~m_state_v_A1M(c_s, s3, c_idle)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2593,plain,
% 11.37/11.57 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_idle)) | (~m_state_v_A1M(c_s, s3, c_retract))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 11.37/11.57 tff(2594,plain,
% 11.37/11.57 (~m_state_v_A1M(c_s, s3, c_idle)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2593, 847, 2587])).
% 11.37/11.57 tff(2595,assumption,(node130(c_s, s2, s3)), introduced(assumption)).
% 11.37/11.57 tff(2596,assumption,(~m_state_v_A1M(c_s, s3, c_idle)), introduced(assumption)).
% 11.37/11.57 tff(2597,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2598,plain,
% 11.37/11.57 (((~node130(c_s, s2, s3)) | (~m_state_v_A1M(c_s, s2, c_idle)) | m_state_v_A1M(c_s, s3, c_idle)) <=> (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2599,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s2, s3)) | (~m_state_v_A1M(c_s, s2, c_idle)) | m_state_v_A1M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3))))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2598])).
% 11.37/11.57 tff(2600,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s2, s3)) | (~m_state_v_A1M(c_s, s2, c_idle)) | m_state_v_A1M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3)))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2599, 2597])).
% 11.37/11.57 tff(2601,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s2, s3)) | (~m_state_v_A1M(c_s, s2, c_idle)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2602,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~node130(c_s, s2, s3))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 11.37/11.57 tff(2603,plain,
% 11.37/11.57 ($false),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2602, 2021, 2596, 2035, 2595])).
% 11.37/11.57 tff(2604,plain,((~node130(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.57 tff(2605,plain,
% 11.37/11.57 (~node130(c_s, s2, s3)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2604, 2594])).
% 11.37/11.57 tff(2606,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2607,plain,
% 11.37/11.57 (((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract))) <=> (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2608,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2))))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2607])).
% 11.37/11.57 tff(2609,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2608, 2606])).
% 11.37/11.57 tff(2610,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2611,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2610, 2609])).
% 11.37/11.57 tff(2612,plain,
% 11.37/11.57 (~m_state_v_A1M(c_s, s2, c_retract)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2611, 1619, 1626, 2011])).
% 11.37/11.57 tff(2613,plain,
% 11.37/11.57 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))))),
% 11.37/11.57 inference(bind,[status(th)],[])).
% 11.37/11.57 tff(2614,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.37/11.57 inference(quant_intro,[status(thm)],[2613])).
% 11.37/11.57 tff(2615,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2616,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_41')).
% 11.37/11.57 tff(2617,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2616, 2615])).
% 11.37/11.57 tff(2618,plain,(
% 11.37/11.57 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.37/11.57 inference(skolemize,[status(sab)],[2617])).
% 11.37/11.57 tff(2619,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2618, 2614])).
% 11.37/11.57 tff(2620,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2621,plain,
% 11.37/11.57 ((m_state_v_A1M(c_s, s2, c_retract) | (~node129(c_s, s2))) <=> ((~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2622,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node129(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2621])).
% 11.37/11.57 tff(2623,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node129(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2622, 2620])).
% 11.37/11.57 tff(2624,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node129(c_s, s2)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2625,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 11.37/11.57 tff(2626,plain,
% 11.37/11.57 (~node129(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2625, 2619, 2612])).
% 11.37/11.57 tff(2627,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2628,plain,
% 11.37/11.57 ((m_state_v_A1M(c_s, s2, c_retract) | (~node128(c_s, s2))) <=> ((~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2629,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node128(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2628])).
% 11.37/11.57 tff(2630,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node128(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2629, 2627])).
% 11.37/11.57 tff(2631,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node128(c_s, s2)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2632,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 11.37/11.57 tff(2633,plain,
% 11.37/11.57 (~node128(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2632, 1495, 2612])).
% 11.37/11.57 tff(2634,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2635,plain,
% 11.37/11.57 (((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot))) <=> (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2636,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2))))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2635])).
% 11.37/11.57 tff(2637,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2636, 2634])).
% 11.37/11.57 tff(2638,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2639,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 11.37/11.57 tff(2640,plain,
% 11.37/11.57 (~m_state_v_a1ext(c_s, s2, c_ot)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2639, 941, 977, 2324])).
% 11.37/11.57 tff(2641,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_ot))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2642,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_ot))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2643,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_ot)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 11.37/11.57 tff(2644,plain,
% 11.37/11.57 (~node124(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2643, 1756, 2640])).
% 11.37/11.57 tff(2645,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2646,plain,
% 11.37/11.57 (((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip))) <=> (m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2647,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2))))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2646])).
% 11.37/11.57 tff(2648,plain,
% 11.37/11.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2)))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2647, 2645])).
% 11.37/11.57 tff(2649,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2650,plain,
% 11.37/11.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~m_state_v_a1ext(c_s, s2, c_a1ip)) | (~node31(c_s, s1, s2))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 11.37/11.57 tff(2651,plain,
% 11.37/11.57 (~m_state_v_a1ext(c_s, s2, c_a1ip)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2650, 941, 948, 2324])).
% 11.37/11.57 tff(2652,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s2, c_a1ip) | (~node127(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~node127(c_s, s2)))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2653,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s2, c_a1ip) | (~node127(c_s, s2)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2654,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~node127(c_s, s2))),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 11.37/11.57 tff(2655,plain,
% 11.37/11.57 (~node127(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2654, 1717, 2651])).
% 11.37/11.57 tff(2656,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_a1ip))) <=> ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_a1ip))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2657,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_a1ip))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2658,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_a1ip)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 11.37/11.57 tff(2659,plain,
% 11.37/11.57 (~node125(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2658, 1731, 2651])).
% 11.37/11.57 tff(2660,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | ((~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2661,plain,
% 11.37/11.57 ((m_state_v_A1Mag(c_s, s2, c_on) | (~node126(c_s, s2))) <=> ((~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.37/11.57 inference(rewrite,[status(thm)],[])).
% 11.37/11.57 tff(2662,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node126(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | ((~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.37/11.57 inference(monotonicity,[status(thm)],[2661])).
% 11.37/11.57 tff(2663,plain,
% 11.37/11.57 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node126(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.37/11.57 inference(transitivity,[status(thm)],[2662, 2660])).
% 11.37/11.57 tff(2664,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node126(c_s, s2)))),
% 11.37/11.57 inference(quant_inst,[status(thm)],[])).
% 11.37/11.57 tff(2665,plain,
% 11.37/11.57 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node126(J0, X)))) | (~node126(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)),
% 11.37/11.57 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 11.37/11.57 tff(2666,plain,
% 11.37/11.57 (~node126(c_s, s2)),
% 11.37/11.57 inference(unit_resolution,[status(thm)],[2665, 1520, 1083])).
% 11.37/11.57 tff(2667,plain,
% 11.37/11.57 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))))),
% 11.37/11.57 inference(bind,[status(th)],[])).
% 11.37/11.57 tff(2668,plain,
% 11.37/11.57 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2667])).
% 11.37/11.58 tff(2669,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2670,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_190')).
% 11.37/11.58 tff(2671,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 11.37/11.58 tff(2672,plain,(
% 11.37/11.58 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2671])).
% 11.37/11.58 tff(2673,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2672, 2668])).
% 11.37/11.58 tff(2674,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2675,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2676,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 11.37/11.58 tff(2677,plain,
% 11.37/11.58 (~node161(c_s, s1)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2676, 2673, 1424])).
% 11.37/11.58 tff(2678,plain,
% 11.37/11.58 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2679,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2678])).
% 11.37/11.58 tff(2680,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2681,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_187')).
% 11.37/11.58 tff(2682,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 11.37/11.58 tff(2683,plain,(
% 11.37/11.58 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2682])).
% 11.37/11.58 tff(2684,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2683, 2679])).
% 11.37/11.58 tff(2685,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | ((~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2686,plain,
% 11.37/11.58 ((m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1))) <=> ((~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2687,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | ((~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.37/11.58 inference(monotonicity,[status(thm)],[2686])).
% 11.37/11.58 tff(2688,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.37/11.58 inference(transitivity,[status(thm)],[2687, 2685])).
% 11.37/11.58 tff(2689,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2690,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (~node160(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 11.37/11.58 tff(2691,plain,
% 11.37/11.58 (~node160(c_s, s1)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2690, 2684, 347])).
% 11.37/11.58 tff(2692,plain,
% 11.37/11.58 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2693,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2692])).
% 11.37/11.58 tff(2694,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2695,plain,
% 11.37/11.58 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2696,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2695])).
% 11.37/11.58 tff(2697,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_198')).
% 11.37/11.58 tff(2698,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 11.37/11.58 tff(2699,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2698, 2694])).
% 11.37/11.58 tff(2700,plain,(
% 11.37/11.58 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2699])).
% 11.37/11.58 tff(2701,plain,
% 11.37/11.58 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2700, 2693])).
% 11.37/11.58 tff(2702,plain,
% 11.37/11.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2703,plain,
% 11.37/11.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2704,plain,
% 11.37/11.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 11.37/11.58 tff(2705,plain,
% 11.37/11.58 (node163(c_s, s1, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2704, 52, 2701, 226])).
% 11.37/11.58 tff(2706,plain,
% 11.37/11.58 (^[Y: $i, X: $i, J0: $i] : refl((node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2707,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2706])).
% 11.37/11.58 tff(2708,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2709,plain,
% 11.37/11.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y))), ((((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> ((node161(J0, X) | node160(J0, X) | node162(J0, X, Y)) | (~node163(J0, X, Y))))), rewrite(((node161(J0, X) | node160(J0, X) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))), ((((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2710,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2709])).
% 11.37/11.58 tff(2711,axiom,(![Y: $i, X: $i, J0: $i] : (((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_197')).
% 11.37/11.58 tff(2712,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 11.37/11.58 tff(2713,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2712, 2708])).
% 11.37/11.58 tff(2714,plain,(
% 11.37/11.58 ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2713])).
% 11.37/11.58 tff(2715,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2714, 2707])).
% 11.37/11.58 tff(2716,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2717,plain,
% 11.37/11.58 ((node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2))) <=> (node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2718,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2))))),
% 11.37/11.58 inference(monotonicity,[status(thm)],[2717])).
% 11.37/11.58 tff(2719,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))),
% 11.37/11.58 inference(transitivity,[status(thm)],[2718, 2716])).
% 11.37/11.58 tff(2720,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2721,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 11.37/11.58 tff(2722,plain,
% 11.37/11.58 (node160(c_s, s1) | node161(c_s, s1) | node162(c_s, s1, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2721, 2715, 2705])).
% 11.37/11.58 tff(2723,plain,
% 11.37/11.58 (node162(c_s, s1, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2722, 2691, 2677])).
% 11.37/11.58 tff(2724,plain,
% 11.37/11.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2725,plain,
% 11.37/11.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2726,plain,
% 11.37/11.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 11.37/11.58 tff(2727,plain,
% 11.37/11.58 (node163(c_s, s0, s1)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2726, 52, 2701, 39])).
% 11.37/11.58 tff(2728,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2729,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2730,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 11.37/11.58 tff(2731,plain,
% 11.37/11.58 (~node160(c_s, s0)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2730, 2684, 76])).
% 11.37/11.58 tff(2732,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node161(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node161(c_s, s0)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2733,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node161(c_s, s0)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2734,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node161(c_s, s0))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 11.37/11.58 tff(2735,plain,
% 11.37/11.58 (~node161(c_s, s0)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2734, 2673, 302])).
% 11.37/11.58 tff(2736,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2737,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2738,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 11.37/11.58 tff(2739,plain,
% 11.37/11.58 (node162(c_s, s0, s1)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2738, 2715, 2735, 2731, 2727])).
% 11.37/11.58 tff(2740,plain,
% 11.37/11.58 (^[I0: $i] : refl(m_state_v_pl(I0, s0) <=> m_state_v_pl(I0, s0))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2741,plain,
% 11.37/11.58 (![I0: $i] : m_state_v_pl(I0, s0) <=> ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2740])).
% 11.37/11.58 tff(2742,plain,
% 11.37/11.58 (![I0: $i] : m_state_v_pl(I0, s0) <=> ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2743,axiom,(![I0: $i] : m_state_v_pl(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_99')).
% 11.37/11.58 tff(2744,plain,
% 11.37/11.58 (![I0: $i] : m_state_v_pl(I0, s0)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 11.37/11.58 tff(2745,plain,(
% 11.37/11.58 ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.37/11.58 inference(skolemize,[status(sab)],[2744])).
% 11.37/11.58 tff(2746,plain,
% 11.37/11.58 (![I0: $i] : m_state_v_pl(I0, s0)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2745, 2741])).
% 11.37/11.58 tff(2747,plain,
% 11.37/11.58 ((~![I0: $i] : m_state_v_pl(I0, s0)) | m_state_v_pl(c_s, s0)),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2748,plain,
% 11.37/11.58 (m_state_v_pl(c_s, s0)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2747, 2746])).
% 11.37/11.58 tff(2749,plain,
% 11.37/11.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2750,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2749])).
% 11.37/11.58 tff(2751,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2752,plain,
% 11.37/11.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) <=> ((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y))), (((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> (((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y)) | (~node162(J0, X, Y))))), rewrite((((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y)) | (~node162(J0, X, Y))) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))), (((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2753,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2752])).
% 11.37/11.58 tff(2754,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_193')).
% 11.37/11.58 tff(2755,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2754, 2753])).
% 11.37/11.58 tff(2756,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2755, 2751])).
% 11.37/11.58 tff(2757,plain,(
% 11.37/11.58 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2756])).
% 11.37/11.58 tff(2758,plain,
% 11.37/11.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2757, 2750])).
% 11.37/11.58 tff(2759,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2760,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2761,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 11.37/11.58 tff(2762,plain,
% 11.37/11.58 (m_state_v_pl(c_s, s1)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2761, 2758, 2748, 2739])).
% 11.37/11.58 tff(2763,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2764,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2765,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2)),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 11.37/11.58 tff(2766,plain,
% 11.37/11.58 (m_state_v_pl(c_s, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2765, 2758, 2762, 2723])).
% 11.37/11.58 tff(2767,plain,
% 11.37/11.58 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node123(J0, X))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2768,plain,
% 11.37/11.58 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2767])).
% 11.37/11.58 tff(2769,plain,
% 11.37/11.58 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2770,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_22')).
% 11.37/11.58 tff(2771,plain,
% 11.37/11.58 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2770, 2769])).
% 11.37/11.58 tff(2772,plain,(
% 11.37/11.58 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2771])).
% 11.37/11.58 tff(2773,plain,
% 11.37/11.58 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2772, 2768])).
% 11.37/11.58 tff(2774,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node123(c_s, s2)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node123(c_s, s2)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2775,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node123(c_s, s2)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2776,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node123(c_s, s2))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 11.37/11.58 tff(2777,plain,
% 11.37/11.58 (~node123(c_s, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2776, 2773, 2766])).
% 11.37/11.58 tff(2778,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2779,plain,
% 11.37/11.58 ((node122(c_s, s2) | node123(c_s, s2) | node124(c_s, s2) | node125(c_s, s2) | node126(c_s, s2) | node127(c_s, s2) | node128(c_s, s2) | node129(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3))) <=> (node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2780,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s2) | node123(c_s, s2) | node124(c_s, s2) | node125(c_s, s2) | node126(c_s, s2) | node127(c_s, s2) | node128(c_s, s2) | node129(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3))))),
% 11.37/11.58 inference(monotonicity,[status(thm)],[2779])).
% 11.37/11.58 tff(2781,plain,
% 11.37/11.58 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s2) | node123(c_s, s2) | node124(c_s, s2) | node125(c_s, s2) | node126(c_s, s2) | node127(c_s, s2) | node128(c_s, s2) | node129(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))),
% 11.37/11.58 inference(transitivity,[status(thm)],[2780, 2778])).
% 11.37/11.58 tff(2782,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s2) | node123(c_s, s2) | node124(c_s, s2) | node125(c_s, s2) | node126(c_s, s2) | node127(c_s, s2) | node128(c_s, s2) | node129(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2783,plain,
% 11.37/11.58 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s2) | node122(c_s, s2) | node129(c_s, s2) | node127(c_s, s2) | node125(c_s, s2) | node128(c_s, s2) | node126(c_s, s2) | node124(c_s, s2) | node130(c_s, s2, s3) | (~node131(c_s, s2, s3))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 11.37/11.58 tff(2784,plain,
% 11.37/11.58 (node122(c_s, s2) | node129(c_s, s2) | node128(c_s, s2) | node130(c_s, s2, s3)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2783, 1602, 2777, 2666, 2659, 2655, 2644, 2042])).
% 11.37/11.58 tff(2785,plain,
% 11.37/11.58 (node122(c_s, s2) | node130(c_s, s2, s3)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2784, 2633, 2626])).
% 11.37/11.58 tff(2786,plain,
% 11.37/11.58 (node122(c_s, s2)),
% 11.37/11.58 inference(unit_resolution,[status(thm)],[2785, 2605])).
% 11.37/11.58 tff(2787,plain,
% 11.37/11.58 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X))))),
% 11.37/11.58 inference(bind,[status(th)],[])).
% 11.37/11.58 tff(2788,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))),
% 11.37/11.58 inference(quant_intro,[status(thm)],[2787])).
% 11.37/11.58 tff(2789,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2790,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_1')).
% 11.37/11.58 tff(2791,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 11.37/11.58 tff(2792,plain,(
% 11.37/11.58 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))),
% 11.37/11.58 inference(skolemize,[status(sab)],[2791])).
% 11.37/11.58 tff(2793,plain,
% 11.37/11.58 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))),
% 11.37/11.58 inference(modus_ponens,[status(thm)],[2792, 2788])).
% 11.37/11.58 tff(2794,plain,
% 11.37/11.58 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node122(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node122(c_s, s2)))),
% 11.37/11.58 inference(rewrite,[status(thm)],[])).
% 11.37/11.58 tff(2795,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node122(c_s, s2)))),
% 11.37/11.58 inference(quant_inst,[status(thm)],[])).
% 11.37/11.58 tff(2796,plain,
% 11.37/11.58 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node122(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node122(c_s, s2))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 11.37/11.59 tff(2797,plain,
% 11.37/11.59 (m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2796, 2793, 2786])).
% 11.37/11.59 tff(2798,plain,
% 11.37/11.59 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2799,plain,
% 11.37/11.59 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2798])).
% 11.37/11.59 tff(2800,plain,
% 11.37/11.59 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2801,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_2')).
% 11.37/11.59 tff(2802,plain,
% 11.37/11.59 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 11.37/11.59 tff(2803,plain,(
% 11.37/11.59 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.37/11.59 inference(skolemize,[status(sab)],[2802])).
% 11.37/11.59 tff(2804,plain,
% 11.37/11.59 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2803, 2799])).
% 11.37/11.59 tff(2805,plain,
% 11.37/11.59 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2806,plain,
% 11.37/11.59 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2807,plain,
% 11.37/11.59 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 11.37/11.59 tff(2808,plain,
% 11.37/11.59 (~m_state_v_A1M(c_s, s3, c_extend)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2807, 2804, 2587])).
% 11.37/11.59 tff(2809,plain,
% 11.37/11.59 (^[X: $i, J0: $i] : refl(((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle)) <=> ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle)))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2810,plain,
% 11.37/11.59 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2809])).
% 11.37/11.59 tff(2811,plain,
% 11.37/11.59 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2812,plain,
% 11.37/11.59 (^[X: $i, J0: $i] : rewrite((m_state_v_A2M(J0, X, c_idle) | (~node122(J0, X))) <=> ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle)))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2813,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2812])).
% 11.37/11.59 tff(2814,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_6')).
% 11.37/11.59 tff(2815,plain,
% 11.37/11.59 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 11.37/11.59 tff(2816,plain,
% 11.37/11.59 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2815, 2811])).
% 11.37/11.59 tff(2817,plain,(
% 11.37/11.59 ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(skolemize,[status(sab)],[2816])).
% 11.37/11.59 tff(2818,plain,
% 11.37/11.59 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2817, 2810])).
% 11.37/11.59 tff(2819,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))) | ((~node122(c_s, s2)) | m_state_v_A2M(c_s, s2, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))) | (~node122(c_s, s2)) | m_state_v_A2M(c_s, s2, c_idle))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2820,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))) | ((~node122(c_s, s2)) | m_state_v_A2M(c_s, s2, c_idle))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2821,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A2M(J0, X, c_idle))) | (~node122(c_s, s2)) | m_state_v_A2M(c_s, s2, c_idle)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 11.37/11.59 tff(2822,plain,
% 11.37/11.59 (m_state_v_A2M(c_s, s2, c_idle)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2821, 2818, 2786])).
% 11.37/11.59 tff(2823,plain,
% 11.37/11.59 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X))) <=> (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X))))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2824,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2823])).
% 11.37/11.59 tff(2825,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2826,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_4')).
% 11.37/11.59 tff(2827,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 11.37/11.59 tff(2828,plain,(
% 11.37/11.59 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))),
% 11.37/11.59 inference(skolemize,[status(sab)],[2827])).
% 11.37/11.59 tff(2829,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2828, 2824])).
% 11.37/11.59 tff(2830,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | ((~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2831,plain,
% 11.37/11.59 ((m_state_v_RRM(c_s, s2, c_idle) | (~node122(c_s, s2))) <=> ((~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2832,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (m_state_v_RRM(c_s, s2, c_idle) | (~node122(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | ((~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle)))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2831])).
% 11.37/11.59 tff(2833,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (m_state_v_RRM(c_s, s2, c_idle) | (~node122(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2832, 2830])).
% 11.37/11.59 tff(2834,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (m_state_v_RRM(c_s, s2, c_idle) | (~node122(c_s, s2)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2835,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node122(J0, X)))) | (~node122(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2834, 2833])).
% 11.37/11.59 tff(2836,plain,
% 11.37/11.59 (m_state_v_RRM(c_s, s2, c_idle)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2835, 2829, 2786])).
% 11.37/11.59 tff(2837,plain,
% 11.37/11.59 ($false),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2567, 2836, 2822, 2808, 2797])).
% 11.37/11.59 tff(2838,plain,(~m_state_v_A1M(c_s, s3, c_retract)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.59 tff(2839,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2840,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2841,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 11.37/11.59 tff(2842,plain,
% 11.37/11.59 (~node128(c_s, s3)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2841, 1495, 2838])).
% 11.37/11.59 tff(2843,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2844,plain,
% 11.37/11.59 ((m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3))) <=> ((~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2845,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2844])).
% 11.37/11.59 tff(2846,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2845, 2843])).
% 11.37/11.59 tff(2847,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2848,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 11.37/11.59 tff(2849,plain,
% 11.37/11.59 (~node129(c_s, s3)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2848, 2619, 2838])).
% 11.37/11.59 tff(2850,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2851,plain,
% 11.37/11.59 (((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend))) <=> (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2852,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2))))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2851])).
% 11.37/11.59 tff(2853,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2852, 2850])).
% 11.37/11.59 tff(2854,plain,
% 11.37/11.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2855,plain,
% 11.37/11.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 11.37/11.59 tff(2856,plain,
% 11.37/11.59 (~m_state_v_A1M(c_s, s2, c_extend)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2855, 1619, 2312, 2011])).
% 11.37/11.59 tff(2857,plain,
% 11.37/11.59 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2858,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2857])).
% 11.37/11.59 tff(2859,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2860,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_38')).
% 11.37/11.59 tff(2861,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 11.37/11.59 tff(2862,plain,(
% 11.37/11.59 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.37/11.59 inference(skolemize,[status(sab)],[2861])).
% 11.37/11.59 tff(2863,plain,
% 11.37/11.59 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2862, 2858])).
% 11.37/11.59 tff(2864,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | ((~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2865,plain,
% 11.37/11.59 ((m_state_v_A1M(c_s, s2, c_extend) | (~node30(c_s, s2))) <=> ((~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2866,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node30(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | ((~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend)))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2865])).
% 11.37/11.59 tff(2867,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node30(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2866, 2864])).
% 11.37/11.59 tff(2868,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node30(c_s, s2)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2869,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (~node30(c_s, s2)) | m_state_v_A1M(c_s, s2, c_extend)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 11.37/11.59 tff(2870,plain,
% 11.37/11.59 (~node30(c_s, s2)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2869, 2863, 2856])).
% 11.37/11.59 tff(2871,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2872,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2873,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2872, 2871])).
% 11.37/11.59 tff(2874,plain,
% 11.37/11.59 (~node29(c_s, s2)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2873, 887, 2856])).
% 11.37/11.59 tff(2875,assumption,(~node32(c_s, s2, s3)), introduced(assumption)).
% 11.37/11.59 tff(2876,plain,
% 11.37/11.59 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2877,plain,
% 11.37/11.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2878,plain,
% 11.37/11.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2877, 2876])).
% 11.37/11.59 tff(2879,plain,
% 11.37/11.59 ($false),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2878, 28, 825, 794, 2875])).
% 11.37/11.59 tff(2880,plain,(node32(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.37/11.59 tff(2881,plain,
% 11.37/11.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2882,plain,
% 11.37/11.59 ((m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3))) <=> (node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2883,plain,
% 11.37/11.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3))))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2882])).
% 11.37/11.59 tff(2884,plain,
% 11.37/11.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3)))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2883, 2881])).
% 11.37/11.59 tff(2885,plain,
% 11.37/11.59 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2886,plain,
% 11.37/11.59 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract) | (~node32(c_s, s2, s3))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 11.37/11.59 tff(2887,plain,
% 11.37/11.59 (node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2886, 904, 2880])).
% 11.37/11.59 tff(2888,plain,
% 11.37/11.59 (node31(c_s, s2, s3)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2887, 2874, 2612, 2870])).
% 11.37/11.59 tff(2889,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2890,plain,
% 11.37/11.59 (((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot))) <=> (m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2891,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot))))),
% 11.37/11.59 inference(monotonicity,[status(thm)],[2890])).
% 11.37/11.59 tff(2892,plain,
% 11.37/11.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot)))),
% 11.37/11.59 inference(transitivity,[status(thm)],[2891, 2889])).
% 11.37/11.59 tff(2893,plain,
% 11.37/11.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2894,plain,
% 11.37/11.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2893, 2892])).
% 11.37/11.59 tff(2895,plain,
% 11.37/11.59 (m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot))),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2894, 941])).
% 11.37/11.59 tff(2896,plain,
% 11.37/11.59 ((~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s3, c_ot))),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2895, 2640])).
% 11.37/11.59 tff(2897,plain,
% 11.37/11.59 (~m_state_v_a1ext(c_s, s3, c_ot)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2896, 2888])).
% 11.37/11.59 tff(2898,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_ot) | (~node126(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s3, c_ot) | (~node126(c_s, s3)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2899,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_ot) | (~node126(c_s, s3)))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2900,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s3, c_ot) | (~node126(c_s, s3))),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 11.37/11.59 tff(2901,plain,
% 11.37/11.59 (~node126(c_s, s3)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2900, 1742, 2897])).
% 11.37/11.59 tff(2902,plain,
% 11.37/11.59 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2903,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))),
% 11.37/11.59 inference(quant_inst,[status(thm)],[])).
% 11.37/11.59 tff(2904,plain,
% 11.37/11.59 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot)),
% 11.37/11.59 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 11.37/11.59 tff(2905,plain,
% 11.37/11.59 (~node124(c_s, s3)),
% 11.37/11.59 inference(unit_resolution,[status(thm)],[2904, 1756, 2897])).
% 11.37/11.59 tff(2906,plain,
% 11.37/11.59 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))))),
% 11.37/11.59 inference(bind,[status(th)],[])).
% 11.37/11.59 tff(2907,plain,
% 11.37/11.59 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.59 inference(quant_intro,[status(thm)],[2906])).
% 11.37/11.59 tff(2908,plain,
% 11.37/11.59 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.59 inference(rewrite,[status(thm)],[])).
% 11.37/11.59 tff(2909,plain,
% 11.37/11.59 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2910,plain,
% 11.37/11.60 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2909])).
% 11.37/11.60 tff(2911,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_27')).
% 11.37/11.60 tff(2912,plain,
% 11.37/11.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2911, 2910])).
% 11.37/11.60 tff(2913,plain,
% 11.37/11.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2912, 2908])).
% 11.37/11.60 tff(2914,plain,(
% 11.37/11.60 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2913])).
% 11.37/11.60 tff(2915,plain,
% 11.37/11.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2914, 2907])).
% 11.37/11.60 tff(2916,plain,
% 11.37/11.60 (m_Press_v_s(c_PR, c_s) <=> m_Press_v_s(c_PR, c_s)),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2917,axiom,(m_Press_v_s(c_PR, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 11.37/11.60 tff(2918,plain,
% 11.37/11.60 (m_Press_v_s(c_PR, c_s)),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 11.37/11.60 tff(2919,plain,
% 11.37/11.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2920,plain,
% 11.37/11.60 (((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2921,plain,
% 11.37/11.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1)))),
% 11.37/11.60 inference(monotonicity,[status(thm)],[2920])).
% 11.37/11.60 tff(2922,plain,
% 11.37/11.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.37/11.60 inference(transitivity,[status(thm)],[2921, 2919])).
% 11.37/11.60 tff(2923,plain,
% 11.37/11.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2924,plain,
% 11.37/11.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1)),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 11.37/11.60 tff(2925,plain,
% 11.37/11.60 (node121(c_s, s0, s1)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2924, 2918, 2915, 39])).
% 11.37/11.60 tff(2926,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node114(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2927,plain,
% 11.37/11.60 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2926])).
% 11.37/11.60 tff(2928,plain,
% 11.37/11.60 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2929,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_3')).
% 11.37/11.60 tff(2930,plain,
% 11.37/11.60 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 11.37/11.60 tff(2931,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2930])).
% 11.37/11.60 tff(2932,plain,
% 11.37/11.60 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2931, 2927])).
% 11.37/11.60 tff(2933,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2934,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2935,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 11.37/11.60 tff(2936,plain,
% 11.37/11.60 (~node114(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2935, 2932, 2748])).
% 11.37/11.60 tff(2937,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node116(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2938,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2937])).
% 11.37/11.60 tff(2939,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2940,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_7')).
% 11.37/11.60 tff(2941,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 11.37/11.60 tff(2942,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2941])).
% 11.37/11.60 tff(2943,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2942, 2938])).
% 11.37/11.60 tff(2944,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2945,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2946,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 11.37/11.60 tff(2947,plain,
% 11.37/11.60 (~node116(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2946, 2943, 1870])).
% 11.37/11.60 tff(2948,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2949,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2948])).
% 11.37/11.60 tff(2950,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2951,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_5')).
% 11.37/11.60 tff(2952,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 11.37/11.60 tff(2953,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2952])).
% 11.37/11.60 tff(2954,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2953, 2949])).
% 11.37/11.60 tff(2955,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node115(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node115(c_s, s0)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2956,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node115(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2957,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node115(c_s, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 11.37/11.60 tff(2958,plain,
% 11.37/11.60 (~node115(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2957, 2954, 1797])).
% 11.37/11.60 tff(2959,plain,
% 11.37/11.60 (^[I0: $i, X: $i] : refl(((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2960,plain,
% 11.37/11.60 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2959])).
% 11.37/11.60 tff(2961,plain,
% 11.37/11.60 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2962,axiom,(![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_30')).
% 11.37/11.60 tff(2963,plain,
% 11.37/11.60 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 11.37/11.60 tff(2964,plain,(
% 11.37/11.60 ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2963])).
% 11.37/11.60 tff(2965,plain,
% 11.37/11.60 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2964, 2960])).
% 11.37/11.60 tff(2966,plain,
% 11.37/11.60 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2967,plain,
% 11.37/11.60 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2968,plain,
% 11.37/11.60 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 11.37/11.60 tff(2969,plain,
% 11.37/11.60 (~m_state_v_PM(c_s, s0, c_down)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2968, 2965, 1783])).
% 11.37/11.60 tff(2970,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2971,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2970])).
% 11.37/11.60 tff(2972,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2973,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_16')).
% 11.37/11.60 tff(2974,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 11.37/11.60 tff(2975,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2974])).
% 11.37/11.60 tff(2976,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2975, 2971])).
% 11.37/11.60 tff(2977,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2978,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2979,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 11.37/11.60 tff(2980,plain,
% 11.37/11.60 (~node119(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2979, 2976, 2969])).
% 11.37/11.60 tff(2981,plain,
% 11.37/11.60 (^[I0: $i] : refl((~m_state_v_topPosP(I0, s0)) <=> (~m_state_v_topPosP(I0, s0)))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2982,plain,
% 11.37/11.60 (![I0: $i] : (~m_state_v_topPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2981])).
% 11.37/11.60 tff(2983,plain,
% 11.37/11.60 (![I0: $i] : (~m_state_v_topPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2984,axiom,(![I0: $i] : (~m_state_v_topPosP(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_102')).
% 11.37/11.60 tff(2985,plain,
% 11.37/11.60 (![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 11.37/11.60 tff(2986,plain,(
% 11.37/11.60 ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2985])).
% 11.37/11.60 tff(2987,plain,
% 11.37/11.60 (![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2986, 2982])).
% 11.37/11.60 tff(2988,plain,
% 11.37/11.60 ((~![I0: $i] : (~m_state_v_topPosP(I0, s0))) | (~m_state_v_topPosP(c_s, s0))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2989,plain,
% 11.37/11.60 (~m_state_v_topPosP(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2988, 2987])).
% 11.37/11.60 tff(2990,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node117(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(2991,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[2990])).
% 11.37/11.60 tff(2992,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2993,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_12')).
% 11.37/11.60 tff(2994,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2993, 2992])).
% 11.37/11.60 tff(2995,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[2994])).
% 11.37/11.60 tff(2996,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2995, 2991])).
% 11.37/11.60 tff(2997,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node117(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node117(c_s, s0)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(2998,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node117(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(2999,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node117(c_s, s0))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 11.37/11.60 tff(3000,plain,
% 11.37/11.60 (~node117(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[2999, 2996, 2989])).
% 11.37/11.60 tff(3001,plain,
% 11.37/11.60 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node118(J0, X))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(3002,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[3001])).
% 11.37/11.60 tff(3003,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3004,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_13')).
% 11.37/11.60 tff(3005,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 11.37/11.60 tff(3006,plain,(
% 11.37/11.60 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[3005])).
% 11.37/11.60 tff(3007,plain,
% 11.37/11.60 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3006, 3002])).
% 11.37/11.60 tff(3008,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | ((~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3009,plain,
% 11.37/11.60 ((m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0))) <=> ((~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3010,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | ((~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0)))),
% 11.37/11.60 inference(monotonicity,[status(thm)],[3009])).
% 11.37/11.60 tff(3011,plain,
% 11.37/11.60 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.37/11.60 inference(transitivity,[status(thm)],[3010, 3008])).
% 11.37/11.60 tff(3012,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))),
% 11.37/11.60 inference(quant_inst,[status(thm)],[])).
% 11.37/11.60 tff(3013,plain,
% 11.37/11.60 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s0)) | m_state_v_topPosP(c_s, s0)),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 11.37/11.60 tff(3014,plain,
% 11.37/11.60 (~node118(c_s, s0)),
% 11.37/11.60 inference(unit_resolution,[status(thm)],[3013, 3007, 2989])).
% 11.37/11.60 tff(3015,plain,
% 11.37/11.60 (^[Y: $i, X: $i, J0: $i] : refl((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(3016,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[3015])).
% 11.37/11.60 tff(3017,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3018,plain,
% 11.37/11.60 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node114(J0, X) | node115(J0, X)) | node116(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X))), ((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X)) | node117(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X)) | node117(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X))), ((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)))), (((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)) | node118(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)) | node118(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X))), (((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)))), ((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)) | node119(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)) | node119(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X))), ((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)))), (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)) | node120(J0, X, Y)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)) | node120(J0, X, Y)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y))), (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)))), ((((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)) | (~node121(J0, X, Y))))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))), ((((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))))),
% 11.37/11.60 inference(bind,[status(th)],[])).
% 11.37/11.60 tff(3019,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(quant_intro,[status(thm)],[3018])).
% 11.37/11.60 tff(3020,axiom,(![Y: $i, X: $i, J0: $i] : (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_26')).
% 11.37/11.60 tff(3021,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 11.37/11.60 tff(3022,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3021, 3017])).
% 11.37/11.60 tff(3023,plain,(
% 11.37/11.60 ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(skolemize,[status(sab)],[3022])).
% 11.37/11.60 tff(3024,plain,
% 11.37/11.60 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.37/11.60 inference(modus_ponens,[status(thm)],[3023, 3016])).
% 11.37/11.60 tff(3025,plain,
% 11.37/11.60 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3026,plain,
% 11.37/11.60 ((node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1))) <=> (node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1))),
% 11.37/11.60 inference(rewrite,[status(thm)],[])).
% 11.37/11.60 tff(3027,plain,
% 11.37/11.60 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1)))),
% 11.37/11.60 inference(monotonicity,[status(thm)],[3026])).
% 11.37/11.60 tff(3028,plain,
% 11.37/11.60 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1))),
% 11.37/11.61 inference(transitivity,[status(thm)],[3027, 3025])).
% 11.37/11.61 tff(3029,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3030,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s0) | node117(c_s, s0) | node119(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node114(c_s, s0) | (~node121(c_s, s0, s1)) | node120(c_s, s0, s1)),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 11.37/11.61 tff(3031,plain,
% 11.37/11.61 (node120(c_s, s0, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3030, 3024, 3014, 3000, 2980, 2958, 2947, 2936, 2925])).
% 11.37/11.61 tff(3032,plain,
% 11.37/11.61 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3033,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3032])).
% 11.37/11.61 tff(3034,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3035,plain,
% 11.37/11.61 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3036,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3035])).
% 11.37/11.61 tff(3037,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_19')).
% 11.37/11.61 tff(3038,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 11.37/11.61 tff(3039,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3038, 3034])).
% 11.37/11.61 tff(3040,plain,(
% 11.37/11.61 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3039])).
% 11.37/11.61 tff(3041,plain,
% 11.37/11.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3040, 3033])).
% 11.37/11.61 tff(3042,plain,
% 11.37/11.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3043,plain,
% 11.37/11.61 (((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down))) <=> (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3044,plain,
% 11.37/11.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1))))),
% 11.37/11.61 inference(monotonicity,[status(thm)],[3043])).
% 11.37/11.61 tff(3045,plain,
% 11.37/11.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.37/11.61 inference(transitivity,[status(thm)],[3044, 3042])).
% 11.37/11.61 tff(3046,plain,
% 11.37/11.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3047,plain,
% 11.37/11.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 11.37/11.61 tff(3048,plain,
% 11.37/11.61 (~m_state_v_PM(c_s, s1, c_down)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3047, 3041, 2969, 3031])).
% 11.37/11.61 tff(3049,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3050,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3051,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 11.37/11.61 tff(3052,plain,
% 11.37/11.61 (m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1))),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3051, 2976])).
% 11.37/11.61 tff(3053,plain,
% 11.37/11.61 (~node119(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3052, 3048])).
% 11.37/11.61 tff(3054,plain,
% 11.37/11.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3055,plain,
% 11.37/11.61 (((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3056,plain,
% 11.37/11.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2)))),
% 11.37/11.61 inference(monotonicity,[status(thm)],[3055])).
% 11.37/11.61 tff(3057,plain,
% 11.37/11.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.37/11.61 inference(transitivity,[status(thm)],[3056, 3054])).
% 11.37/11.61 tff(3058,plain,
% 11.37/11.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3059,plain,
% 11.37/11.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2)),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 11.37/11.61 tff(3060,plain,
% 11.37/11.61 (node121(c_s, s1, s2)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3059, 2918, 2915, 226])).
% 11.37/11.61 tff(3061,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3062,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3063,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 11.37/11.61 tff(3064,plain,
% 11.37/11.61 (~node114(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3063, 2932, 2762])).
% 11.37/11.61 tff(3065,plain,
% 11.37/11.61 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node115(J0, X))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3066,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3065])).
% 11.37/11.61 tff(3067,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3068,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_6')).
% 11.37/11.61 tff(3069,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 11.37/11.61 tff(3070,plain,(
% 11.37/11.61 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3069])).
% 11.37/11.61 tff(3071,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3070, 3066])).
% 11.37/11.61 tff(3072,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3073,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3074,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 11.37/11.61 tff(3075,plain,
% 11.37/11.61 (~node115(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3074, 3071, 1887])).
% 11.37/11.61 tff(3076,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3077,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3078,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 11.37/11.61 tff(3079,plain,
% 11.37/11.61 (~node116(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3078, 2943, 1887])).
% 11.37/11.61 tff(3080,plain,
% 11.37/11.61 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3081,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3080])).
% 11.37/11.61 tff(3082,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3083,plain,
% 11.37/11.61 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3084,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3083])).
% 11.37/11.61 tff(3085,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_104')).
% 11.37/11.61 tff(3086,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 11.37/11.61 tff(3087,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3086, 3082])).
% 11.37/11.61 tff(3088,plain,(
% 11.37/11.61 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3087])).
% 11.37/11.61 tff(3089,plain,
% 11.37/11.61 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3088, 3081])).
% 11.37/11.61 tff(3090,plain,
% 11.37/11.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3091,plain,
% 11.37/11.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3092,plain,
% 11.37/11.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1)),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 11.37/11.61 tff(3093,plain,
% 11.37/11.61 (node52(c_s, s0, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3092, 28, 3089, 39])).
% 11.37/11.61 tff(3094,plain,
% 11.37/11.61 (^[X: $i, J0: $i] : refl(((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3095,plain,
% 11.37/11.61 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3094])).
% 11.37/11.61 tff(3096,plain,
% 11.37/11.61 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3097,plain,
% 11.37/11.61 (^[X: $i, J0: $i] : rewrite((m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X))) <=> ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3098,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X))) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3097])).
% 11.37/11.61 tff(3099,axiom,(![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_98')).
% 11.37/11.61 tff(3100,plain,
% 11.37/11.61 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 11.37/11.61 tff(3101,plain,
% 11.37/11.61 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3100, 3096])).
% 11.37/11.61 tff(3102,plain,(
% 11.37/11.61 ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3101])).
% 11.37/11.61 tff(3103,plain,
% 11.37/11.61 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3102, 3095])).
% 11.37/11.61 tff(3104,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3105,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3106,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid)),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 11.37/11.61 tff(3107,plain,
% 11.37/11.61 (~node50(c_s, s0)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3106, 3103, 1828])).
% 11.37/11.61 tff(3108,plain,
% 11.37/11.61 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node49(J0, X))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3109,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3108])).
% 11.37/11.61 tff(3110,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3111,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_94')).
% 11.37/11.61 tff(3112,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 11.37/11.61 tff(3113,plain,(
% 11.37/11.61 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3112])).
% 11.37/11.61 tff(3114,plain,
% 11.37/11.61 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3113, 3109])).
% 11.37/11.61 tff(3115,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node49(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node49(c_s, s0)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3116,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node49(c_s, s0)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3117,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node49(c_s, s0))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 11.37/11.61 tff(3118,plain,
% 11.37/11.61 (~node49(c_s, s0)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3117, 3114, 2989])).
% 11.37/11.61 tff(3119,plain,
% 11.37/11.61 (^[Y: $i, X: $i, J0: $i] : refl((node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3120,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3119])).
% 11.37/11.61 tff(3121,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3122,plain,
% 11.37/11.61 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y))), ((((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> ((node49(J0, X) | node50(J0, X) | node51(J0, X, Y)) | (~node52(J0, X, Y))))), rewrite(((node49(J0, X) | node50(J0, X) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))), ((((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3123,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3122])).
% 11.37/11.61 tff(3124,axiom,(![Y: $i, X: $i, J0: $i] : (((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_103')).
% 11.37/11.61 tff(3125,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 11.37/11.61 tff(3126,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3125, 3121])).
% 11.37/11.61 tff(3127,plain,(
% 11.37/11.61 ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3126])).
% 11.37/11.61 tff(3128,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3127, 3120])).
% 11.37/11.61 tff(3129,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3130,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3131,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 11.37/11.61 tff(3132,plain,
% 11.37/11.61 (node51(c_s, s0, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3131, 3128, 3118, 3107, 3093])).
% 11.37/11.61 tff(3133,plain,
% 11.37/11.61 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3134,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3133])).
% 11.37/11.61 tff(3135,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3136,plain,
% 11.37/11.61 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y))) <=> (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))))),
% 11.37/11.61 inference(bind,[status(th)],[])).
% 11.37/11.61 tff(3137,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(quant_intro,[status(thm)],[3136])).
% 11.37/11.61 tff(3138,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_100')).
% 11.37/11.61 tff(3139,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 11.37/11.61 tff(3140,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3139, 3135])).
% 11.37/11.61 tff(3141,plain,(
% 11.37/11.61 ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(skolemize,[status(sab)],[3140])).
% 11.37/11.61 tff(3142,plain,
% 11.37/11.61 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3141, 3134])).
% 11.37/11.61 tff(3143,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3144,plain,
% 11.37/11.61 ((m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1))) <=> (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3145,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1))))),
% 11.37/11.61 inference(monotonicity,[status(thm)],[3144])).
% 11.37/11.61 tff(3146,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.37/11.61 inference(transitivity,[status(thm)],[3145, 3143])).
% 11.37/11.61 tff(3147,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3148,plain,
% 11.37/11.61 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3147, 3146])).
% 11.37/11.61 tff(3149,plain,
% 11.37/11.61 (~m_state_v_topPosP(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3148, 3142, 2989, 3132])).
% 11.37/11.61 tff(3150,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3151,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3152,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 11.37/11.61 tff(3153,plain,
% 11.37/11.61 (~node117(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3152, 2996, 3149])).
% 11.37/11.61 tff(3154,plain,
% 11.37/11.61 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3155,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))),
% 11.37/11.61 inference(quant_inst,[status(thm)],[])).
% 11.37/11.61 tff(3156,plain,
% 11.37/11.61 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1))),
% 11.37/11.61 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 11.37/11.61 tff(3157,plain,
% 11.37/11.61 (~node118(c_s, s1)),
% 11.37/11.61 inference(unit_resolution,[status(thm)],[3156, 3007, 3149])).
% 11.37/11.61 tff(3158,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3159,plain,
% 11.37/11.61 ((node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2))) <=> (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.37/11.61 inference(rewrite,[status(thm)],[])).
% 11.37/11.61 tff(3160,plain,
% 11.37/11.61 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2)))),
% 11.37/11.62 inference(monotonicity,[status(thm)],[3159])).
% 11.37/11.62 tff(3161,plain,
% 11.37/11.62 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.37/11.62 inference(transitivity,[status(thm)],[3160, 3158])).
% 11.37/11.62 tff(3162,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3163,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node118(c_s, s1) | node114(c_s, s1) | node116(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 11.37/11.62 tff(3164,plain,
% 11.37/11.62 (node119(c_s, s1) | node120(c_s, s1, s2)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3163, 3024, 3157, 3153, 3079, 3075, 3064, 3060])).
% 11.37/11.62 tff(3165,plain,
% 11.37/11.62 (node120(c_s, s1, s2)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3164, 3053])).
% 11.37/11.62 tff(3166,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3167,plain,
% 11.37/11.62 (((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up))) <=> (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3168,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1))))),
% 11.37/11.62 inference(monotonicity,[status(thm)],[3167])).
% 11.37/11.62 tff(3169,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.37/11.62 inference(transitivity,[status(thm)],[3168, 3166])).
% 11.37/11.62 tff(3170,plain,
% 11.37/11.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3171,plain,
% 11.37/11.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 11.37/11.62 tff(3172,plain,
% 11.37/11.62 (~m_state_v_PM(c_s, s1, c_up)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3171, 3041, 1797, 3031])).
% 11.37/11.62 tff(3173,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3174,plain,
% 11.37/11.62 (((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up))) <=> (m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3175,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2))))),
% 11.37/11.62 inference(monotonicity,[status(thm)],[3174])).
% 11.37/11.62 tff(3176,plain,
% 11.37/11.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2)))),
% 11.37/11.62 inference(transitivity,[status(thm)],[3175, 3173])).
% 11.37/11.62 tff(3177,plain,
% 11.37/11.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3178,plain,
% 11.37/11.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s1, s2))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 11.37/11.62 tff(3179,plain,
% 11.37/11.62 (~m_state_v_PM(c_s, s2, c_up)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3178, 3041, 3172, 3165])).
% 11.37/11.62 tff(3180,plain,
% 11.37/11.62 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3181,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3182,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 11.37/11.62 tff(3183,plain,
% 11.37/11.62 (~node53(c_s, s2)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3182, 1804, 3179])).
% 11.37/11.62 tff(3184,assumption,(~m_state_v_press_status(c_s, s2, c_pressatbot)), introduced(assumption)).
% 11.37/11.62 tff(3185,plain,
% 11.37/11.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3186,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3185])).
% 11.37/11.62 tff(3187,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3188,plain,
% 11.37/11.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3189,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3188])).
% 11.37/11.62 tff(3190,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_125')).
% 11.37/11.62 tff(3191,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3190, 3189])).
% 11.37/11.62 tff(3192,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3191, 3187])).
% 11.37/11.62 tff(3193,plain,(
% 11.37/11.62 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(skolemize,[status(sab)],[3192])).
% 11.37/11.62 tff(3194,plain,
% 11.37/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3193, 3186])).
% 11.37/11.62 tff(3195,plain,
% 11.37/11.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3196,plain,
% 11.37/11.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3197,plain,
% 11.37/11.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 11.37/11.62 tff(3198,plain,
% 11.37/11.62 (node60(c_s, s0, s1)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3197, 28, 3194, 39])).
% 11.37/11.62 tff(3199,plain,
% 11.37/11.62 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3200,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3199])).
% 11.37/11.62 tff(3201,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3202,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_117')).
% 11.37/11.62 tff(3203,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 11.37/11.62 tff(3204,plain,(
% 11.37/11.62 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.37/11.62 inference(skolemize,[status(sab)],[3203])).
% 11.37/11.62 tff(3205,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3204, 3200])).
% 11.37/11.62 tff(3206,plain,
% 11.37/11.62 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3207,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3208,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3207, 3206])).
% 11.37/11.62 tff(3209,plain,
% 11.37/11.62 (~node57(c_s, s0)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3208, 3205, 1797])).
% 11.37/11.62 tff(3210,plain,
% 11.37/11.62 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node58(J0, X))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3211,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3210])).
% 11.37/11.62 tff(3212,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3213,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_118')).
% 11.37/11.62 tff(3214,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 11.37/11.62 tff(3215,plain,(
% 11.37/11.62 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 11.37/11.62 inference(skolemize,[status(sab)],[3214])).
% 11.37/11.62 tff(3216,plain,
% 11.37/11.62 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3215, 3211])).
% 11.37/11.62 tff(3217,plain,
% 11.37/11.62 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node58(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node58(c_s, s0)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3218,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node58(c_s, s0)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3219,plain,
% 11.37/11.62 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node58(c_s, s0))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 11.37/11.62 tff(3220,plain,
% 11.37/11.62 (~node58(c_s, s0)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3219, 3216, 2989])).
% 11.37/11.62 tff(3221,plain,
% 11.37/11.62 (^[Y: $i, X: $i, J0: $i] : refl((node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3222,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3221])).
% 11.37/11.62 tff(3223,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3224,plain,
% 11.37/11.62 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y))), ((((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> ((node57(J0, X) | node58(J0, X) | node59(J0, X, Y)) | (~node60(J0, X, Y))))), rewrite(((node57(J0, X) | node58(J0, X) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))), ((((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3225,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3224])).
% 11.37/11.62 tff(3226,axiom,(![Y: $i, X: $i, J0: $i] : (((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_124')).
% 11.37/11.62 tff(3227,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 11.37/11.62 tff(3228,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3227, 3223])).
% 11.37/11.62 tff(3229,plain,(
% 11.37/11.62 ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(skolemize,[status(sab)],[3228])).
% 11.37/11.62 tff(3230,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3229, 3222])).
% 11.37/11.62 tff(3231,plain,
% 11.37/11.62 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3232,plain,
% 11.37/11.62 ((node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1))) <=> (node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3233,plain,
% 11.37/11.62 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1)))),
% 11.37/11.62 inference(monotonicity,[status(thm)],[3232])).
% 11.37/11.62 tff(3234,plain,
% 11.37/11.62 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1))),
% 11.37/11.62 inference(transitivity,[status(thm)],[3233, 3231])).
% 11.37/11.62 tff(3235,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3236,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | (~node60(c_s, s0, s1)) | node59(c_s, s0, s1)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 11.37/11.62 tff(3237,plain,
% 11.37/11.62 (node59(c_s, s0, s1)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3236, 3230, 3220, 3209, 3198])).
% 11.37/11.62 tff(3238,plain,
% 11.37/11.62 (^[I0: $i] : refl(m_state_v_botPosP(I0, s0) <=> m_state_v_botPosP(I0, s0))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3239,plain,
% 11.37/11.62 (![I0: $i] : m_state_v_botPosP(I0, s0) <=> ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3238])).
% 11.37/11.62 tff(3240,plain,
% 11.37/11.62 (![I0: $i] : m_state_v_botPosP(I0, s0) <=> ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3241,axiom,(![I0: $i] : m_state_v_botPosP(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_101')).
% 11.37/11.62 tff(3242,plain,
% 11.37/11.62 (![I0: $i] : m_state_v_botPosP(I0, s0)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 11.37/11.62 tff(3243,plain,(
% 11.37/11.62 ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 11.37/11.62 inference(skolemize,[status(sab)],[3242])).
% 11.37/11.62 tff(3244,plain,
% 11.37/11.62 (![I0: $i] : m_state_v_botPosP(I0, s0)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3243, 3239])).
% 11.37/11.62 tff(3245,plain,
% 11.37/11.62 ((~![I0: $i] : m_state_v_botPosP(I0, s0)) | m_state_v_botPosP(c_s, s0)),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3246,plain,
% 11.37/11.62 (m_state_v_botPosP(c_s, s0)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3245, 3244])).
% 11.37/11.62 tff(3247,plain,
% 11.37/11.62 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3248,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3247])).
% 11.37/11.62 tff(3249,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3250,plain,
% 11.37/11.62 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y))), (((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> (((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y)) | (~node59(J0, X, Y))))), rewrite((((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y)) | (~node59(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))), (((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))))),
% 11.37/11.62 inference(bind,[status(th)],[])).
% 11.37/11.62 tff(3251,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(quant_intro,[status(thm)],[3250])).
% 11.37/11.62 tff(3252,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_120')).
% 11.37/11.62 tff(3253,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 11.37/11.62 tff(3254,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3253, 3249])).
% 11.37/11.62 tff(3255,plain,(
% 11.37/11.62 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(skolemize,[status(sab)],[3254])).
% 11.37/11.62 tff(3256,plain,
% 11.37/11.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3255, 3248])).
% 11.37/11.62 tff(3257,plain,
% 11.37/11.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))),
% 11.37/11.62 inference(rewrite,[status(thm)],[])).
% 11.37/11.62 tff(3258,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))),
% 11.37/11.62 inference(quant_inst,[status(thm)],[])).
% 11.37/11.62 tff(3259,plain,
% 11.37/11.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1)),
% 11.37/11.62 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 11.37/11.62 tff(3260,plain,
% 11.37/11.62 (m_state_v_botPosP(c_s, s1)),
% 11.37/11.62 inference(unit_resolution,[status(thm)],[3259, 3256, 3246, 3237])).
% 11.47/11.62 tff(3261,plain,
% 11.47/11.62 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node65(J0, X))))),
% 11.47/11.62 inference(bind,[status(th)],[])).
% 11.47/11.62 tff(3262,plain,
% 11.47/11.62 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.47/11.62 inference(quant_intro,[status(thm)],[3261])).
% 11.47/11.62 tff(3263,plain,
% 11.47/11.62 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.47/11.62 inference(rewrite,[status(thm)],[])).
% 11.47/11.62 tff(3264,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_137')).
% 11.47/11.62 tff(3265,plain,
% 11.47/11.62 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.47/11.62 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 11.47/11.62 tff(3266,plain,(
% 11.47/11.62 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.47/11.62 inference(skolemize,[status(sab)],[3265])).
% 11.47/11.62 tff(3267,plain,
% 11.47/11.62 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.47/11.62 inference(modus_ponens,[status(thm)],[3266, 3262])).
% 11.47/11.62 tff(3268,plain,
% 11.47/11.62 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))),
% 11.47/11.62 inference(rewrite,[status(thm)],[])).
% 11.47/11.62 tff(3269,plain,
% 11.47/11.62 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))),
% 11.47/11.62 inference(quant_inst,[status(thm)],[])).
% 11.47/11.62 tff(3270,plain,
% 11.47/11.62 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1))),
% 11.47/11.62 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 11.47/11.62 tff(3271,plain,
% 11.47/11.62 (~node65(c_s, s1)),
% 11.47/11.62 inference(unit_resolution,[status(thm)],[3270, 3267, 1887])).
% 11.47/11.62 tff(3272,plain,
% 11.47/11.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)))),
% 11.47/11.62 inference(bind,[status(th)],[])).
% 11.47/11.62 tff(3273,plain,
% 11.47/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.62 inference(quant_intro,[status(thm)],[3272])).
% 11.47/11.62 tff(3274,plain,
% 11.47/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.62 inference(rewrite,[status(thm)],[])).
% 11.47/11.62 tff(3275,plain,
% 11.47/11.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))))),
% 11.47/11.62 inference(bind,[status(th)],[])).
% 11.47/11.62 tff(3276,plain,
% 11.47/11.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3275])).
% 11.47/11.63 tff(3277,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_147')).
% 11.47/11.63 tff(3278,plain,
% 11.47/11.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 11.47/11.63 tff(3279,plain,
% 11.47/11.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3278, 3274])).
% 11.47/11.63 tff(3280,plain,(
% 11.47/11.63 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.63 inference(skolemize,[status(sab)],[3279])).
% 11.47/11.63 tff(3281,plain,
% 11.47/11.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3280, 3273])).
% 11.47/11.63 tff(3282,plain,
% 11.47/11.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3283,plain,
% 11.47/11.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3284,plain,
% 11.47/11.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2)),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 11.47/11.63 tff(3285,plain,
% 11.47/11.63 (node68(c_s, s1, s2)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3284, 28, 3281, 226])).
% 11.47/11.63 tff(3286,plain,
% 11.47/11.63 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node64(J0, X))))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3287,plain,
% 11.47/11.63 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3286])).
% 11.47/11.63 tff(3288,plain,
% 11.47/11.63 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3289,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_135')).
% 11.47/11.63 tff(3290,plain,
% 11.47/11.63 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 11.47/11.63 tff(3291,plain,(
% 11.47/11.63 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 11.47/11.63 inference(skolemize,[status(sab)],[3290])).
% 11.47/11.63 tff(3292,plain,
% 11.47/11.63 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3291, 3287])).
% 11.47/11.63 tff(3293,plain,
% 11.47/11.63 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3294,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3295,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 11.47/11.63 tff(3296,plain,
% 11.47/11.63 (~node64(c_s, s1)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3295, 3292, 3149])).
% 11.47/11.63 tff(3297,plain,
% 11.47/11.63 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3298,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3297])).
% 11.47/11.63 tff(3299,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3300,plain,
% 11.47/11.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X))), ((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X)) | (~m_state_v_PM(J0, X, c_idle))))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X))), ((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)))), (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)) | m_state_v_press_status(J0, Y, c_pressatbot)))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot))), (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)))), ((((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))), ((((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3301,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3300])).
% 11.47/11.63 tff(3302,axiom,(![Y: $i, X: $i, J0: $i] : (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_145')).
% 11.47/11.63 tff(3303,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 11.47/11.63 tff(3304,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3303, 3299])).
% 11.47/11.63 tff(3305,plain,(
% 11.47/11.63 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(skolemize,[status(sab)],[3304])).
% 11.47/11.63 tff(3306,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3305, 3298])).
% 11.47/11.63 tff(3307,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3308,plain,
% 11.47/11.63 (((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot)) <=> ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3309,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1)))),
% 11.47/11.63 inference(monotonicity,[status(thm)],[3308])).
% 11.47/11.63 tff(3310,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.63 inference(transitivity,[status(thm)],[3309, 3307])).
% 11.47/11.63 tff(3311,plain,
% 11.47/11.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3312,plain,
% 11.47/11.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | node64(c_s, s1) | (~m_state_v_botPosP(c_s, s1)) | (~node68(c_s, s1, s2)) | node65(c_s, s1)),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 11.47/11.63 tff(3313,plain,
% 11.47/11.63 ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_botPosP(c_s, s1)) | node65(c_s, s1)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3312, 3306, 3296, 3285])).
% 11.47/11.63 tff(3314,plain,
% 11.47/11.63 ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_botPosP(c_s, s1))),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3313, 3271])).
% 11.47/11.63 tff(3315,plain,
% 11.47/11.63 ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_press_status(c_s, s2, c_pressatbot)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3314, 3260])).
% 11.47/11.63 tff(3316,plain,
% 11.47/11.63 (~m_state_v_PM(c_s, s1, c_idle)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3315, 3184])).
% 11.47/11.63 tff(3317,plain,
% 11.47/11.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s0, s1))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3318,plain,
% 11.47/11.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s0, s1))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3319,plain,
% 11.47/11.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s0, s1)),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3318, 3317])).
% 11.47/11.63 tff(3320,plain,
% 11.47/11.63 (node68(c_s, s0, s1)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3319, 28, 3281, 39])).
% 11.47/11.63 tff(3321,plain,
% 11.47/11.63 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node65(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node65(c_s, s0)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3322,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node65(c_s, s0)))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3323,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node65(c_s, s0))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3322, 3321])).
% 11.47/11.63 tff(3324,plain,
% 11.47/11.63 (~node65(c_s, s0)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3323, 3267, 1870])).
% 11.47/11.63 tff(3325,plain,
% 11.47/11.63 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | ((~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3326,plain,
% 11.47/11.63 ((m_state_v_topPosP(c_s, s0) | (~node64(c_s, s0))) <=> ((~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3327,plain,
% 11.47/11.63 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node64(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | ((~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0)))),
% 11.47/11.63 inference(monotonicity,[status(thm)],[3326])).
% 11.47/11.63 tff(3328,plain,
% 11.47/11.63 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node64(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0))),
% 11.47/11.63 inference(transitivity,[status(thm)],[3327, 3325])).
% 11.47/11.63 tff(3329,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node64(c_s, s0)))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3330,plain,
% 11.47/11.63 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (~node64(c_s, s0)) | m_state_v_topPosP(c_s, s0)),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 11.47/11.63 tff(3331,plain,
% 11.47/11.63 (~node64(c_s, s0)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3330, 3292, 2989])).
% 11.47/11.63 tff(3332,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3333,plain,
% 11.47/11.63 (((~m_state_v_botPosP(c_s, s0)) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | node65(c_s, s0) | (~node68(c_s, s0, s1)) | m_state_v_press_status(c_s, s1, c_pressatbot)) <=> (node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3334,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s0)) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | node65(c_s, s0) | (~node68(c_s, s0, s1)) | m_state_v_press_status(c_s, s1, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1))))),
% 11.47/11.63 inference(monotonicity,[status(thm)],[3333])).
% 11.47/11.63 tff(3335,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s0)) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | node65(c_s, s0) | (~node68(c_s, s0, s1)) | m_state_v_press_status(c_s, s1, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1)))),
% 11.47/11.63 inference(transitivity,[status(thm)],[3334, 3332])).
% 11.47/11.63 tff(3336,plain,
% 11.47/11.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s0)) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | node65(c_s, s0) | (~node68(c_s, s0, s1)) | m_state_v_press_status(c_s, s1, c_pressatbot))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3337,plain,
% 11.47/11.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | node64(c_s, s0) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_botPosP(c_s, s0)) | node65(c_s, s0) | m_state_v_press_status(c_s, s1, c_pressatbot) | (~node68(c_s, s0, s1))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 11.47/11.63 tff(3338,plain,
% 11.47/11.63 (m_state_v_press_status(c_s, s1, c_pressatbot)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3337, 3306, 3331, 1783, 3246, 3324, 3320])).
% 11.47/11.63 tff(3339,assumption,(node67(c_s, s1, s2)), introduced(assumption)).
% 11.47/11.63 tff(3340,assumption,(m_state_v_press_status(c_s, s1, c_pressatbot)), introduced(assumption)).
% 11.47/11.63 tff(3341,plain,
% 11.47/11.63 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)) <=> ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3342,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3341])).
% 11.47/11.63 tff(3343,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3344,plain,
% 11.47/11.63 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_press_status(J0, Y, V) | (~m_state_v_press_status(J0, X, V))) <=> ((~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))), (((m_state_v_press_status(J0, Y, V) | (~m_state_v_press_status(J0, X, V))) | (~node67(J0, X, Y))) <=> (((~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)) | (~node67(J0, X, Y))))), rewrite((((~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V)) | (~node67(J0, X, Y))) <=> ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))), (((m_state_v_press_status(J0, Y, V) | (~m_state_v_press_status(J0, X, V))) | (~node67(J0, X, Y))) <=> ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3345,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_press_status(J0, Y, V) | (~m_state_v_press_status(J0, X, V))) | (~node67(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3344])).
% 11.47/11.63 tff(3346,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_press_status(J0, Y, V) | (~m_state_v_press_status(J0, X, V))) | (~node67(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_141')).
% 11.47/11.63 tff(3347,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 11.47/11.63 tff(3348,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3347, 3343])).
% 11.47/11.63 tff(3349,plain,(
% 11.47/11.63 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(skolemize,[status(sab)],[3348])).
% 11.47/11.63 tff(3350,plain,
% 11.47/11.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3349, 3342])).
% 11.47/11.63 tff(3351,plain,
% 11.47/11.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3352,plain,
% 11.47/11.63 (((~node67(c_s, s1, s2)) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | m_state_v_press_status(c_s, s2, c_pressatbot)) <=> (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3353,plain,
% 11.47/11.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s1, s2)) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2))))),
% 11.47/11.63 inference(monotonicity,[status(thm)],[3352])).
% 11.47/11.63 tff(3354,plain,
% 11.47/11.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s1, s2)) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2)))),
% 11.47/11.63 inference(transitivity,[status(thm)],[3353, 3351])).
% 11.47/11.63 tff(3355,plain,
% 11.47/11.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s1, s2)) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | m_state_v_press_status(c_s, s2, c_pressatbot))),
% 11.47/11.63 inference(quant_inst,[status(thm)],[])).
% 11.47/11.63 tff(3356,plain,
% 11.47/11.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_press_status(c_s, s1, c_pressatbot)) | (~node67(c_s, s1, s2))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 11.47/11.63 tff(3357,plain,
% 11.47/11.63 ($false),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3356, 3350, 3184, 3340, 3339])).
% 11.47/11.63 tff(3358,plain,((~m_state_v_press_status(c_s, s1, c_pressatbot)) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~node67(c_s, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 11.47/11.63 tff(3359,plain,
% 11.47/11.63 (m_state_v_press_status(c_s, s2, c_pressatbot) | (~node67(c_s, s1, s2))),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3358, 3338])).
% 11.47/11.63 tff(3360,plain,
% 11.47/11.63 (~node67(c_s, s1, s2)),
% 11.47/11.63 inference(unit_resolution,[status(thm)],[3359, 3184])).
% 11.47/11.63 tff(3361,plain,
% 11.47/11.63 (^[Y: $i, X: $i, J0: $i] : refl((node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y))) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y))))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3362,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3361])).
% 11.47/11.63 tff(3363,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3364,plain,
% 11.47/11.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node64(J0, X) | node65(J0, X)) | node66(J0, X)) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X))), ((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) <=> ((node64(J0, X) | node65(J0, X) | node66(J0, X)) | node67(J0, X, Y)))), rewrite(((node64(J0, X) | node65(J0, X) | node66(J0, X)) | node67(J0, X, Y)) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y))), ((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y)))), (((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) | (~node68(J0, X, Y))) <=> ((node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y)) | (~node68(J0, X, Y))))), rewrite(((node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y)) | (~node68(J0, X, Y))) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))), (((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) | (~node68(J0, X, Y))) <=> (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))))),
% 11.47/11.63 inference(bind,[status(th)],[])).
% 11.47/11.63 tff(3365,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : ((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(quant_intro,[status(thm)],[3364])).
% 11.47/11.63 tff(3366,axiom,(![Y: $i, X: $i, J0: $i] : ((((node64(J0, X) | node65(J0, X)) | node66(J0, X)) | node67(J0, X, Y)) | (~node68(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_146')).
% 11.47/11.63 tff(3367,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 11.47/11.63 tff(3368,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3367, 3363])).
% 11.47/11.63 tff(3369,plain,(
% 11.47/11.63 ![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(skolemize,[status(sab)],[3368])).
% 11.47/11.63 tff(3370,plain,
% 11.47/11.63 (![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))),
% 11.47/11.63 inference(modus_ponens,[status(thm)],[3369, 3362])).
% 11.47/11.63 tff(3371,plain,
% 11.47/11.63 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.63 inference(rewrite,[status(thm)],[])).
% 11.47/11.63 tff(3372,plain,
% 11.47/11.63 ((node64(c_s, s1) | node65(c_s, s1) | node66(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2))) <=> (node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3373,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s1) | node65(c_s, s1) | node66(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1)))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3372])).
% 11.47/11.64 tff(3374,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s1) | node65(c_s, s1) | node66(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3373, 3371])).
% 11.47/11.64 tff(3375,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s1) | node65(c_s, s1) | node66(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3376,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node66(c_s, s1) | node64(c_s, s1) | node67(c_s, s1, s2) | (~node68(c_s, s1, s2)) | node65(c_s, s1)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3375, 3374])).
% 11.47/11.64 tff(3377,plain,
% 11.47/11.64 (node66(c_s, s1) | node67(c_s, s1, s2) | node65(c_s, s1)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3376, 3370, 3296, 3285])).
% 11.47/11.64 tff(3378,plain,
% 11.47/11.64 (node66(c_s, s1) | node67(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3377, 3271])).
% 11.47/11.64 tff(3379,plain,
% 11.47/11.64 (node66(c_s, s1)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3378, 3360])).
% 11.47/11.64 tff(3380,plain,
% 11.47/11.64 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_idle) | (~node66(J0, X))) <=> (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X))))),
% 11.47/11.64 inference(bind,[status(th)],[])).
% 11.47/11.64 tff(3381,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))),
% 11.47/11.64 inference(quant_intro,[status(thm)],[3380])).
% 11.47/11.64 tff(3382,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3383,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_140')).
% 11.47/11.64 tff(3384,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 11.47/11.64 tff(3385,plain,(
% 11.47/11.64 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))),
% 11.47/11.64 inference(skolemize,[status(sab)],[3384])).
% 11.47/11.64 tff(3386,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3385, 3381])).
% 11.47/11.64 tff(3387,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | ((~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3388,plain,
% 11.47/11.64 ((m_state_v_PM(c_s, s1, c_idle) | (~node66(c_s, s1))) <=> ((~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3389,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (m_state_v_PM(c_s, s1, c_idle) | (~node66(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | ((~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle)))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3388])).
% 11.47/11.64 tff(3390,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (m_state_v_PM(c_s, s1, c_idle) | (~node66(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3389, 3387])).
% 11.47/11.64 tff(3391,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (m_state_v_PM(c_s, s1, c_idle) | (~node66(c_s, s1)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3392,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (~node66(c_s, s1)) | m_state_v_PM(c_s, s1, c_idle)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 11.47/11.64 tff(3393,plain,
% 11.47/11.64 ($false),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3392, 3386, 3379, 3316])).
% 11.47/11.64 tff(3394,plain,(m_state_v_press_status(c_s, s2, c_pressatbot)), inference(lemma,lemma(discharge,[]))).
% 11.47/11.64 tff(3395,plain,
% 11.47/11.64 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3396,plain,
% 11.47/11.64 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3397,plain,
% 11.47/11.64 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 11.47/11.64 tff(3398,plain,
% 11.47/11.64 (~m_state_v_press_status(c_s, s2, c_pressatmid)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3397, 1824, 3394])).
% 11.47/11.64 tff(3399,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3400,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3401,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 11.47/11.64 tff(3402,plain,
% 11.47/11.64 (~node54(c_s, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3401, 1835, 3398])).
% 11.47/11.64 tff(3403,assumption,(~node56(c_s, s2, s3)), introduced(assumption)).
% 11.47/11.64 tff(3404,plain,
% 11.47/11.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3405,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3406,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 11.47/11.64 tff(3407,plain,
% 11.47/11.64 ($false),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3406, 28, 1770, 794, 3403])).
% 11.47/11.64 tff(3408,plain,(node56(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.47/11.64 tff(3409,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3410,plain,
% 11.47/11.64 ((node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3))) <=> (node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3411,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3))))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3410])).
% 11.47/11.64 tff(3412,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3411, 3409])).
% 11.47/11.64 tff(3413,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3414,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 11.47/11.64 tff(3415,plain,
% 11.47/11.64 (node55(c_s, s2, s3) | node54(c_s, s2) | node53(c_s, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3414, 1852, 3408])).
% 11.47/11.64 tff(3416,plain,
% 11.47/11.64 (node55(c_s, s2, s3) | node53(c_s, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3415, 3402])).
% 11.47/11.64 tff(3417,plain,
% 11.47/11.64 (node55(c_s, s2, s3)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3416, 3183])).
% 11.47/11.64 tff(3418,assumption,(~m_state_v_press_status(c_s, s3, c_pressatbot)), introduced(assumption)).
% 11.47/11.64 tff(3419,assumption,(node67(c_s, s2, s3)), introduced(assumption)).
% 11.47/11.64 tff(3420,assumption,(m_state_v_press_status(c_s, s2, c_pressatbot)), introduced(assumption)).
% 11.47/11.64 tff(3421,plain,
% 11.47/11.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3422,plain,
% 11.47/11.64 (((~node67(c_s, s2, s3)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | m_state_v_press_status(c_s, s3, c_pressatbot)) <=> (m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3423,plain,
% 11.47/11.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s2, s3)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3))))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3422])).
% 11.47/11.64 tff(3424,plain,
% 11.47/11.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s2, s3)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3)))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3423, 3421])).
% 11.47/11.64 tff(3425,plain,
% 11.47/11.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s2, s3)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | m_state_v_press_status(c_s, s3, c_pressatbot))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3426,plain,
% 11.47/11.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~node67(c_s, s2, s3))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 11.47/11.64 tff(3427,plain,
% 11.47/11.64 ($false),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3426, 3350, 3418, 3420, 3419])).
% 11.47/11.64 tff(3428,plain,((~m_state_v_press_status(c_s, s2, c_pressatbot)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node67(c_s, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 11.47/11.64 tff(3429,plain,
% 11.47/11.64 (m_state_v_press_status(c_s, s3, c_pressatbot) | (~node67(c_s, s2, s3))),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3428, 3394])).
% 11.47/11.64 tff(3430,plain,
% 11.47/11.64 (~node67(c_s, s2, s3)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3429, 3418])).
% 11.47/11.64 tff(3431,assumption,(~m_state_v_PM(c_s, s1, c_up)), introduced(assumption)).
% 11.47/11.64 tff(3432,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3433,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3434,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 11.47/11.64 tff(3435,plain,
% 11.47/11.64 (~node53(c_s, s1)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3434, 1804, 3431])).
% 11.47/11.64 tff(3436,plain,
% 11.47/11.64 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node54(J0, X))))),
% 11.47/11.64 inference(bind,[status(th)],[])).
% 11.47/11.64 tff(3437,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 11.47/11.64 inference(quant_intro,[status(thm)],[3436])).
% 11.47/11.64 tff(3438,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3439,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_107')).
% 11.47/11.64 tff(3440,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 11.47/11.64 tff(3441,plain,(
% 11.47/11.64 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 11.47/11.64 inference(skolemize,[status(sab)],[3440])).
% 11.47/11.64 tff(3442,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3441, 3437])).
% 11.47/11.64 tff(3443,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3444,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3445,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 11.47/11.64 tff(3446,plain,
% 11.47/11.64 (~node54(c_s, s1)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3445, 3442, 1887])).
% 11.47/11.64 tff(3447,plain,
% 11.47/11.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3448,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3449,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 11.47/11.64 tff(3450,plain,
% 11.47/11.64 (node56(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3449, 28, 1770, 226])).
% 11.47/11.64 tff(3451,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3452,plain,
% 11.47/11.64 ((node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2))) <=> (node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3453,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2)))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3452])).
% 11.47/11.64 tff(3454,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3453, 3451])).
% 11.47/11.64 tff(3455,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3456,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s1) | node53(c_s, s1) | (~node56(c_s, s1, s2)) | node55(c_s, s1, s2)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 11.47/11.64 tff(3457,plain,
% 11.47/11.64 (node54(c_s, s1) | node53(c_s, s1) | node55(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3456, 1852, 3450])).
% 11.47/11.64 tff(3458,plain,
% 11.47/11.64 (node53(c_s, s1) | node55(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3457, 3446])).
% 11.47/11.64 tff(3459,plain,
% 11.47/11.64 (node55(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3458, 3435])).
% 11.47/11.64 tff(3460,assumption,(m_state_v_midPosP(c_s, s2)), introduced(assumption)).
% 11.47/11.64 tff(3461,assumption,(node55(c_s, s1, s2)), introduced(assumption)).
% 11.47/11.64 tff(3462,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3463,plain,
% 11.47/11.64 ((m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2))) <=> (m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3464,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2))))),
% 11.47/11.64 inference(monotonicity,[status(thm)],[3463])).
% 11.47/11.64 tff(3465,plain,
% 11.47/11.64 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2)))),
% 11.47/11.64 inference(transitivity,[status(thm)],[3464, 3462])).
% 11.47/11.64 tff(3466,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3467,plain,
% 11.47/11.64 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s1) | (~m_state_v_midPosP(c_s, s2)) | (~node55(c_s, s1, s2))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 11.47/11.64 tff(3468,plain,
% 11.47/11.64 ($false),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3467, 1880, 1887, 3461, 3460])).
% 11.47/11.64 tff(3469,plain,((~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2))), inference(lemma,lemma(discharge,[]))).
% 11.47/11.64 tff(3470,plain,
% 11.47/11.64 (~m_state_v_midPosP(c_s, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3469, 3459])).
% 11.47/11.64 tff(3471,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3472,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3473,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 11.47/11.64 tff(3474,plain,
% 11.47/11.64 (~node65(c_s, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3473, 3267, 3470])).
% 11.47/11.64 tff(3475,plain,
% 11.47/11.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3476,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3477,plain,
% 11.47/11.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3476, 3475])).
% 11.47/11.64 tff(3478,plain,
% 11.47/11.64 (node52(c_s, s1, s2)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3477, 28, 3089, 226])).
% 11.47/11.64 tff(3479,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3480,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3481,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 11.47/11.64 tff(3482,plain,
% 11.47/11.64 (~node49(c_s, s1)),
% 11.47/11.64 inference(unit_resolution,[status(thm)],[3481, 3114, 3149])).
% 11.47/11.64 tff(3483,plain,
% 11.47/11.64 (^[X: $i, J0: $i] : refl(((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ((~node50(J0, X)) | m_state_v_midPosP(J0, X)))),
% 11.47/11.64 inference(bind,[status(th)],[])).
% 11.47/11.64 tff(3484,plain,
% 11.47/11.64 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(quant_intro,[status(thm)],[3483])).
% 11.47/11.64 tff(3485,plain,
% 11.47/11.64 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3486,plain,
% 11.47/11.64 (^[X: $i, J0: $i] : rewrite((m_state_v_midPosP(J0, X) | (~node50(J0, X))) <=> ((~node50(J0, X)) | m_state_v_midPosP(J0, X)))),
% 11.47/11.64 inference(bind,[status(th)],[])).
% 11.47/11.64 tff(3487,plain,
% 11.47/11.64 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node50(J0, X))) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(quant_intro,[status(thm)],[3486])).
% 11.47/11.64 tff(3488,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node50(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_96')).
% 11.47/11.64 tff(3489,plain,
% 11.47/11.64 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 11.47/11.64 tff(3490,plain,
% 11.47/11.64 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3489, 3485])).
% 11.47/11.64 tff(3491,plain,(
% 11.47/11.64 ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(skolemize,[status(sab)],[3490])).
% 11.47/11.64 tff(3492,plain,
% 11.47/11.64 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3491, 3484])).
% 11.47/11.64 tff(3493,plain,
% 11.47/11.64 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))),
% 11.47/11.64 inference(rewrite,[status(thm)],[])).
% 11.47/11.64 tff(3494,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))),
% 11.47/11.64 inference(quant_inst,[status(thm)],[])).
% 11.47/11.64 tff(3495,plain,
% 11.47/11.64 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1)),
% 11.47/11.64 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 11.47/11.64 tff(3496,plain,
% 11.47/11.64 ((~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3495, 3492])).
% 11.47/11.65 tff(3497,plain,
% 11.47/11.65 (~node50(c_s, s1)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3496, 1887])).
% 11.47/11.65 tff(3498,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3499,plain,
% 11.47/11.65 ((node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2))) <=> (node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3500,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3499])).
% 11.47/11.65 tff(3501,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3500, 3498])).
% 11.47/11.65 tff(3502,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3503,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s1) | node49(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 11.47/11.65 tff(3504,plain,
% 11.47/11.65 (node51(c_s, s1, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3503, 3128, 3497, 3482, 3478])).
% 11.47/11.65 tff(3505,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3506,plain,
% 11.47/11.65 ((m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2))) <=> (m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3507,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3506])).
% 11.47/11.65 tff(3508,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3507, 3505])).
% 11.47/11.65 tff(3509,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3510,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s1) | (~m_state_v_topPosP(c_s, s2)) | (~node51(c_s, s1, s2))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 11.47/11.65 tff(3511,plain,
% 11.47/11.65 (~m_state_v_topPosP(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3510, 3142, 3149, 3504])).
% 11.47/11.65 tff(3512,plain,
% 11.47/11.65 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3513,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3514,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 11.47/11.65 tff(3515,plain,
% 11.47/11.65 (~node64(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3514, 3292, 3511])).
% 11.47/11.65 tff(3516,plain,
% 11.47/11.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3517,plain,
% 11.47/11.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3518,plain,
% 11.47/11.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3)),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 11.47/11.65 tff(3519,plain,
% 11.47/11.65 (node68(c_s, s2, s3)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3518, 28, 3281, 794])).
% 11.47/11.65 tff(3520,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3521,plain,
% 11.47/11.65 ((node64(c_s, s2) | node65(c_s, s2) | node66(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3))) <=> (node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3522,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s2) | node65(c_s, s2) | node66(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3521])).
% 11.47/11.65 tff(3523,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s2) | node65(c_s, s2) | node66(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3522, 3520])).
% 11.47/11.65 tff(3524,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s2) | node65(c_s, s2) | node66(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3525,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3) | (~node68(c_s, s2, s3))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 11.47/11.65 tff(3526,plain,
% 11.47/11.65 (node65(c_s, s2) | node66(c_s, s2) | node64(c_s, s2) | node67(c_s, s2, s3)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3525, 3370, 3519])).
% 11.47/11.65 tff(3527,plain,
% 11.47/11.65 (node65(c_s, s2) | node66(c_s, s2) | node67(c_s, s2, s3)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3526, 3515])).
% 11.47/11.65 tff(3528,plain,
% 11.47/11.65 (node66(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3527, 3474, 3430])).
% 11.47/11.65 tff(3529,plain,
% 11.47/11.65 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3530,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3531,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 11.47/11.65 tff(3532,plain,
% 11.47/11.65 (m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1))),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3531, 3205])).
% 11.47/11.65 tff(3533,plain,
% 11.47/11.65 (~node57(c_s, s1)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3532, 3431])).
% 11.47/11.65 tff(3534,plain,
% 11.47/11.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3535,plain,
% 11.47/11.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3536,plain,
% 11.47/11.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2)),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 11.47/11.65 tff(3537,plain,
% 11.47/11.65 (node60(c_s, s1, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3536, 28, 3194, 226])).
% 11.47/11.65 tff(3538,plain,
% 11.47/11.65 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3539,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3540,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3539, 3538])).
% 11.47/11.65 tff(3541,plain,
% 11.47/11.65 (~node58(c_s, s1)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3540, 3216, 3149])).
% 11.47/11.65 tff(3542,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3543,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3544,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 11.47/11.65 tff(3545,plain,
% 11.47/11.65 (node57(c_s, s1) | node59(c_s, s1, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3544, 3230, 3541, 3537])).
% 11.47/11.65 tff(3546,plain,
% 11.47/11.65 (node59(c_s, s1, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3545, 3533])).
% 11.47/11.65 tff(3547,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3548,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3549,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2)),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3548, 3547])).
% 11.47/11.65 tff(3550,plain,
% 11.47/11.65 ((~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3549, 3256])).
% 11.47/11.65 tff(3551,plain,
% 11.47/11.65 ((~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3550, 3260])).
% 11.47/11.65 tff(3552,plain,
% 11.47/11.65 (m_state_v_botPosP(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3551, 3546])).
% 11.47/11.65 tff(3553,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3554,plain,
% 11.47/11.65 (((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot)) <=> ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3555,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3554])).
% 11.47/11.65 tff(3556,plain,
% 11.47/11.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3555, 3553])).
% 11.47/11.65 tff(3557,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3558,plain,
% 11.47/11.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2) | (~node68(c_s, s2, s3))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 11.47/11.65 tff(3559,plain,
% 11.47/11.65 ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2) | node64(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3558, 3306, 3519])).
% 11.47/11.65 tff(3560,plain,
% 11.47/11.65 ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~m_state_v_botPosP(c_s, s2)) | node65(c_s, s2)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3559, 3515])).
% 11.47/11.65 tff(3561,plain,
% 11.47/11.65 (~m_state_v_PM(c_s, s2, c_idle)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3560, 3474, 3418, 3552])).
% 11.47/11.65 tff(3562,plain,
% 11.47/11.65 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (m_state_v_PM(c_s, s2, c_idle) | (~node66(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | m_state_v_PM(c_s, s2, c_idle) | (~node66(c_s, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3563,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | (m_state_v_PM(c_s, s2, c_idle) | (~node66(c_s, s2)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3564,plain,
% 11.47/11.65 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node66(J0, X)))) | m_state_v_PM(c_s, s2, c_idle) | (~node66(c_s, s2))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 11.47/11.65 tff(3565,plain,
% 11.47/11.65 ($false),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3564, 3386, 3561, 3528])).
% 11.47/11.65 tff(3566,plain,(m_state_v_PM(c_s, s1, c_up) | m_state_v_press_status(c_s, s3, c_pressatbot)), inference(lemma,lemma(discharge,[]))).
% 11.47/11.65 tff(3567,plain,
% 11.47/11.65 (m_state_v_press_status(c_s, s3, c_pressatbot)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3566, 3172])).
% 11.47/11.65 tff(3568,plain,
% 11.47/11.65 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3569,plain,
% 11.47/11.65 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3570,plain,
% 11.47/11.65 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 11.47/11.65 tff(3571,plain,
% 11.47/11.65 (~m_state_v_press_status(c_s, s3, c_pressatmid)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3570, 1824, 3567])).
% 11.47/11.65 tff(3572,plain,
% 11.47/11.65 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)))),
% 11.47/11.65 inference(bind,[status(th)],[])).
% 11.47/11.65 tff(3573,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(quant_intro,[status(thm)],[3572])).
% 11.47/11.65 tff(3574,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3575,plain,
% 11.47/11.65 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) <=> ((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))), (((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> (((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) | (~node120(J0, X, Y))))), rewrite((((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))), (((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))))),
% 11.47/11.65 inference(bind,[status(th)],[])).
% 11.47/11.65 tff(3576,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(quant_intro,[status(thm)],[3575])).
% 11.47/11.65 tff(3577,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_18')).
% 11.47/11.65 tff(3578,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 11.47/11.65 tff(3579,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3578, 3574])).
% 11.47/11.65 tff(3580,plain,(
% 11.47/11.65 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(skolemize,[status(sab)],[3579])).
% 11.47/11.65 tff(3581,plain,
% 11.47/11.65 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3580, 3573])).
% 11.47/11.65 tff(3582,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3583,plain,
% 11.47/11.65 (((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle)) <=> (m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3584,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3583])).
% 11.47/11.65 tff(3585,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3584, 3582])).
% 11.47/11.65 tff(3586,plain,
% 11.47/11.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.65 tff(3587,plain,
% 11.47/11.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s1, c_idle) | (~m_state_v_PM(c_s, s0, c_idle)) | (~node120(c_s, s0, s1))),
% 11.47/11.65 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 11.47/11.65 tff(3588,plain,
% 11.47/11.65 (m_state_v_PM(c_s, s1, c_idle)),
% 11.47/11.65 inference(unit_resolution,[status(thm)],[3587, 3581, 1783, 3031])).
% 11.47/11.65 tff(3589,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3590,plain,
% 11.47/11.65 (((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle)) <=> ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2)))),
% 11.47/11.65 inference(rewrite,[status(thm)],[])).
% 11.47/11.65 tff(3591,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2))))),
% 11.47/11.65 inference(monotonicity,[status(thm)],[3590])).
% 11.47/11.65 tff(3592,plain,
% 11.47/11.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2)))),
% 11.47/11.65 inference(transitivity,[status(thm)],[3591, 3589])).
% 11.47/11.65 tff(3593,plain,
% 11.47/11.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))),
% 11.47/11.65 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3594,plain,
% 11.47/11.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle) | (~node120(c_s, s1, s2))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 11.47/11.66 tff(3595,plain,
% 11.47/11.66 (m_state_v_PM(c_s, s2, c_idle)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3594, 3581, 3588, 3165])).
% 11.47/11.66 tff(3596,plain,
% 11.47/11.66 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid)))),
% 11.47/11.66 inference(bind,[status(th)],[])).
% 11.47/11.66 tff(3597,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(quant_intro,[status(thm)],[3596])).
% 11.47/11.66 tff(3598,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3599,plain,
% 11.47/11.66 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node64(J0, X) | (~m_state_v_midPosP(J0, X))) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X))), (((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> (((~m_state_v_midPosP(J0, X)) | node64(J0, X)) | (~m_state_v_PM(J0, X, c_idle))))), rewrite((((~m_state_v_midPosP(J0, X)) | node64(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)))), (((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle))))), ((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> (((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)))), rewrite((((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_press_status(J0, Y, c_pressatmid))), ((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_press_status(J0, Y, c_pressatmid)))), (((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y))) <=> (((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y))))), rewrite((((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y))) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))), (((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y))) <=> ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))))),
% 11.47/11.66 inference(bind,[status(th)],[])).
% 11.47/11.66 tff(3600,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(quant_intro,[status(thm)],[3599])).
% 11.47/11.66 tff(3601,axiom,(![Y: $i, X: $i, J0: $i] : ((((node64(J0, X) | (~m_state_v_midPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatmid)) | (~node68(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_144')).
% 11.47/11.66 tff(3602,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 11.47/11.66 tff(3603,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3602, 3598])).
% 11.47/11.66 tff(3604,plain,(
% 11.47/11.66 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(skolemize,[status(sab)],[3603])).
% 11.47/11.66 tff(3605,plain,
% 11.47/11.66 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3604, 3597])).
% 11.47/11.66 tff(3606,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | ((~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | (~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3607,plain,
% 11.47/11.66 (((~m_state_v_midPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid)) <=> ((~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3608,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | ((~m_state_v_midPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | ((~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3))))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3607])).
% 11.47/11.66 tff(3609,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | ((~m_state_v_midPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | (~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3)))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3608, 3606])).
% 11.47/11.66 tff(3610,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | ((~m_state_v_midPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3611,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_midPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatmid))) | (~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2) | (~node68(c_s, s2, s3))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 11.47/11.66 tff(3612,plain,
% 11.47/11.66 ((~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid) | node64(c_s, s2)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3611, 3605, 3519])).
% 11.47/11.66 tff(3613,plain,
% 11.47/11.66 ((~m_state_v_PM(c_s, s2, c_idle)) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_press_status(c_s, s3, c_pressatmid)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3612, 3515])).
% 11.47/11.66 tff(3614,plain,
% 11.47/11.66 (~m_state_v_midPosP(c_s, s2)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3613, 3595, 3571])).
% 11.47/11.66 tff(3615,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3616,plain,
% 11.47/11.66 ((m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3))) <=> (m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3617,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3))))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3616])).
% 11.47/11.66 tff(3618,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3)))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3617, 3615])).
% 11.47/11.66 tff(3619,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3620,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s2) | (~m_state_v_midPosP(c_s, s3)) | (~node55(c_s, s2, s3))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 11.47/11.66 tff(3621,plain,
% 11.47/11.66 (~m_state_v_midPosP(c_s, s3)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3620, 1880, 3614, 3417])).
% 11.47/11.66 tff(3622,plain,
% 11.47/11.66 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3623,plain,
% 11.47/11.66 ((m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3))) <=> ((~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3624,plain,
% 11.47/11.66 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3)))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3623])).
% 11.47/11.66 tff(3625,plain,
% 11.47/11.66 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3624, 3622])).
% 11.47/11.66 tff(3626,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3627,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s3)) | m_state_v_midPosP(c_s, s3)),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 11.47/11.66 tff(3628,plain,
% 11.47/11.66 (~node123(c_s, s3)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3627, 1894, 3621])).
% 11.47/11.66 tff(3629,plain,
% 11.47/11.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3630,plain,
% 11.47/11.66 (((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip))) <=> (m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3631,plain,
% 11.47/11.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3))))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3630])).
% 11.47/11.66 tff(3632,plain,
% 11.47/11.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3)))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3631, 3629])).
% 11.47/11.66 tff(3633,plain,
% 11.47/11.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3634,plain,
% 11.47/11.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s2, c_a1ip) | (~m_state_v_a1ext(c_s, s3, c_a1ip)) | (~node31(c_s, s2, s3))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 11.47/11.66 tff(3635,plain,
% 11.47/11.66 (~m_state_v_a1ext(c_s, s3, c_a1ip)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3634, 941, 2888, 2651])).
% 11.47/11.66 tff(3636,plain,
% 11.47/11.66 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_a1ip) | (~node127(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s3, c_a1ip) | (~node127(c_s, s3)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3637,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_a1ip) | (~node127(c_s, s3)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3638,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s3, c_a1ip) | (~node127(c_s, s3))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 11.47/11.66 tff(3639,plain,
% 11.47/11.66 (~node127(c_s, s3)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3638, 1717, 3635])).
% 11.47/11.66 tff(3640,plain,
% 11.47/11.66 (((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_a1ip))) <=> ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_a1ip))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3641,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_a1ip))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3642,plain,
% 11.47/11.66 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_a1ip)),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 11.47/11.66 tff(3643,plain,
% 11.47/11.66 (~node125(c_s, s3)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3642, 1731, 3635])).
% 11.47/11.66 tff(3644,plain,
% 11.47/11.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3645,plain,
% 11.47/11.66 (((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3646,plain,
% 11.47/11.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4)))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3645])).
% 11.47/11.66 tff(3647,plain,
% 11.47/11.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3646, 3644])).
% 11.47/11.66 tff(3648,plain,
% 11.47/11.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3649,plain,
% 11.47/11.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s3, s4)),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 11.47/11.66 tff(3650,plain,
% 11.47/11.66 (node131(c_s, s3, s4)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3649, 52, 1481, 1179])).
% 11.47/11.66 tff(3651,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3652,plain,
% 11.47/11.66 ((node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4))) <=> (node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 11.47/11.66 inference(rewrite,[status(thm)],[])).
% 11.47/11.66 tff(3653,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4))))),
% 11.47/11.66 inference(monotonicity,[status(thm)],[3652])).
% 11.47/11.66 tff(3654,plain,
% 11.47/11.66 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 11.47/11.66 inference(transitivity,[status(thm)],[3653, 3651])).
% 11.47/11.66 tff(3655,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 11.47/11.66 inference(quant_inst,[status(thm)],[])).
% 11.47/11.66 tff(3656,plain,
% 11.47/11.66 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4))),
% 11.47/11.66 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 11.47/11.66 tff(3657,plain,
% 11.47/11.66 (node129(c_s, s3) | node127(c_s, s3) | node125(c_s, s3) | node123(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node124(c_s, s3) | node126(c_s, s3) | node130(c_s, s3, s4)),
% 11.47/11.66 inference(unit_resolution,[status(thm)],[3656, 1602, 3650])).
% 11.47/11.66 tff(3658,plain,
% 11.47/11.66 (node129(c_s, s3) | node122(c_s, s3) | node128(c_s, s3) | node130(c_s, s3, s4)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3657, 3643, 3639, 3628, 2905, 2901])).
% 11.47/11.67 tff(3659,plain,
% 11.47/11.67 (node122(c_s, s3) | node130(c_s, s3, s4)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3658, 2849, 2842])).
% 11.47/11.67 tff(3660,plain,
% 11.47/11.67 (node130(c_s, s3, s4)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3659, 2586])).
% 11.47/11.67 tff(3661,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3662,plain,
% 11.47/11.67 (((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_retract) | (~m_state_v_A1M(c_s, s4, c_retract))) <=> ((~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3663,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_retract) | (~m_state_v_A1M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4))))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3662])).
% 11.47/11.67 tff(3664,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_retract) | (~m_state_v_A1M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4)))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3663, 3661])).
% 11.47/11.67 tff(3665,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_retract) | (~m_state_v_A1M(c_s, s4, c_retract)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3666,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s4, c_retract)) | m_state_v_A1M(c_s, s3, c_retract) | (~node130(c_s, s3, s4))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 11.47/11.67 tff(3667,plain,
% 11.47/11.67 (~m_state_v_A1M(c_s, s4, c_retract)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3666, 1619, 2838, 3660])).
% 11.47/11.67 tff(3668,plain,
% 11.47/11.67 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3669,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3668])).
% 11.47/11.67 tff(3670,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3671,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_141')).
% 11.47/11.67 tff(3672,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3671, 3670])).
% 11.47/11.67 tff(3673,plain,(
% 11.47/11.67 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.47/11.67 inference(skolemize,[status(sab)],[3672])).
% 11.47/11.67 tff(3674,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3673, 3669])).
% 11.47/11.67 tff(3675,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3676,plain,
% 11.47/11.67 ((m_state_v_A1M(c_s, s4, c_retract) | (~node153(c_s, s4))) <=> ((~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3677,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node153(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3676])).
% 11.47/11.67 tff(3678,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node153(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3677, 3675])).
% 11.47/11.67 tff(3679,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node153(c_s, s4)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3680,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 11.47/11.67 tff(3681,plain,
% 11.47/11.67 (~node153(c_s, s4)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3680, 3674, 3667])).
% 11.47/11.67 tff(3682,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3683,plain,
% 11.47/11.67 ((m_state_v_A1M(c_s, s4, c_retract) | (~node150(c_s, s4))) <=> ((~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3684,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node150(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3683])).
% 11.47/11.67 tff(3685,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node150(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3684, 3682])).
% 11.47/11.67 tff(3686,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node150(c_s, s4)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3687,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 11.47/11.67 tff(3688,plain,
% 11.47/11.67 (~node150(c_s, s4)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3687, 1359, 3667])).
% 11.47/11.67 tff(3689,assumption,(m_state_v_RRM(c_s, s2, c_clockwise)), introduced(assumption)).
% 11.47/11.67 tff(3690,assumption,(node158(c_s, s1, s2)), introduced(assumption)).
% 11.47/11.67 tff(3691,assumption,(~m_state_v_RRM(c_s, s1, c_clockwise)), introduced(assumption)).
% 11.47/11.67 tff(3692,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3693,plain,
% 11.47/11.67 (((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise))) <=> (m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3694,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise))))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3693])).
% 11.47/11.67 tff(3695,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3694, 3692])).
% 11.47/11.67 tff(3696,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3697,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 11.47/11.67 tff(3698,plain,
% 11.47/11.67 ($false),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3697, 1393, 3691, 3690, 3689])).
% 11.47/11.67 tff(3699,plain,(m_state_v_RRM(c_s, s1, c_clockwise) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_clockwise))), inference(lemma,lemma(discharge,[]))).
% 11.47/11.67 tff(3700,plain,
% 11.47/11.67 (~m_state_v_RRM(c_s, s2, c_clockwise)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3699, 1671, 1466])).
% 11.47/11.67 tff(3701,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3702,plain,
% 11.47/11.67 ((m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2))) <=> ((~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3703,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3702])).
% 11.47/11.67 tff(3704,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3703, 3701])).
% 11.47/11.67 tff(3705,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3706,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise)),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3705, 3704])).
% 11.47/11.67 tff(3707,plain,
% 11.47/11.67 (~node157(c_s, s2)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3706, 1282, 3700])).
% 11.47/11.67 tff(3708,plain,
% 11.47/11.67 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3709,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3708])).
% 11.47/11.67 tff(3710,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3711,plain,
% 11.47/11.67 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3712,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3711])).
% 11.47/11.67 tff(3713,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_96')).
% 11.47/11.67 tff(3714,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 11.47/11.67 tff(3715,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3714, 3710])).
% 11.47/11.67 tff(3716,plain,(
% 11.47/11.67 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(skolemize,[status(sab)],[3715])).
% 11.47/11.67 tff(3717,plain,
% 11.47/11.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3716, 3709])).
% 11.47/11.67 tff(3718,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3719,plain,
% 11.47/11.67 (((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract))) <=> (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3720,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1))))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3719])).
% 11.47/11.67 tff(3721,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3720, 3718])).
% 11.47/11.67 tff(3722,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3723,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 11.47/11.67 tff(3724,plain,
% 11.47/11.67 (~m_state_v_A2M(c_s, s1, c_retract)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3723, 3717, 663, 192])).
% 11.47/11.67 tff(3725,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3726,plain,
% 11.47/11.67 (((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract))) <=> (m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3727,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2))))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3726])).
% 11.47/11.67 tff(3728,plain,
% 11.47/11.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2)))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3727, 3725])).
% 11.47/11.67 tff(3729,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3730,plain,
% 11.47/11.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 11.47/11.67 tff(3731,plain,
% 11.47/11.67 (m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)) | (~node140(c_s, s1, s2))),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3730, 3717])).
% 11.47/11.67 tff(3732,plain,
% 11.47/11.67 (m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract))),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3731, 505])).
% 11.47/11.67 tff(3733,plain,
% 11.47/11.67 (~m_state_v_A2M(c_s, s2, c_retract)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3732, 3724])).
% 11.47/11.67 tff(3734,plain,
% 11.47/11.67 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3735,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3734])).
% 11.47/11.67 tff(3736,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3737,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_135')).
% 11.47/11.67 tff(3738,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 11.47/11.67 tff(3739,plain,(
% 11.47/11.67 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.47/11.67 inference(skolemize,[status(sab)],[3738])).
% 11.47/11.67 tff(3740,plain,
% 11.47/11.67 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3739, 3735])).
% 11.47/11.67 tff(3741,plain,
% 11.47/11.67 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3742,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3743,plain,
% 11.47/11.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 11.47/11.67 tff(3744,plain,
% 11.47/11.67 (~node151(c_s, s2)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3743, 3740, 3733])).
% 11.47/11.67 tff(3745,plain,
% 11.47/11.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3746,plain,
% 11.47/11.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3747,plain,
% 11.47/11.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3)),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 11.47/11.67 tff(3748,plain,
% 11.47/11.67 (node159(c_s, s2, s3)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3747, 52, 1260, 794])).
% 11.47/11.67 tff(3749,assumption,(m_state_v_angle(c_s, s2, c_arm2todepbelt)), introduced(assumption)).
% 11.47/11.67 tff(3750,plain,
% 11.47/11.67 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3751,plain,
% 11.47/11.67 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3752,plain,
% 11.47/11.67 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3751, 3750])).
% 11.47/11.67 tff(3753,plain,
% 11.47/11.67 (~m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3752, 127, 3749])).
% 11.47/11.67 tff(3754,plain,
% 11.47/11.67 (~node41(c_s, s1, s2)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[1457, 3753])).
% 11.47/11.67 tff(3755,plain,
% 11.47/11.67 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3756,plain,
% 11.47/11.67 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3755])).
% 11.47/11.67 tff(3757,plain,
% 11.47/11.67 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3758,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_55')).
% 11.47/11.67 tff(3759,plain,
% 11.47/11.67 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 11.47/11.67 tff(3760,plain,(
% 11.47/11.67 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.47/11.67 inference(skolemize,[status(sab)],[3759])).
% 11.47/11.67 tff(3761,plain,
% 11.47/11.67 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3760, 3756])).
% 11.47/11.67 tff(3762,plain,
% 11.47/11.67 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3763,plain,
% 11.47/11.67 (((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3764,plain,
% 11.47/11.67 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress))))),
% 11.47/11.67 inference(monotonicity,[status(thm)],[3763])).
% 11.47/11.67 tff(3765,plain,
% 11.47/11.67 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.47/11.67 inference(transitivity,[status(thm)],[3764, 3762])).
% 11.47/11.67 tff(3766,plain,
% 11.47/11.67 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))),
% 11.47/11.67 inference(quant_inst,[status(thm)],[])).
% 11.47/11.67 tff(3767,plain,
% 11.47/11.67 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s2, c_arm2topress))),
% 11.47/11.67 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 11.47/11.67 tff(3768,plain,
% 11.47/11.67 (~m_state_v_angle(c_s, s2, c_arm2topress)),
% 11.47/11.67 inference(unit_resolution,[status(thm)],[3767, 3761, 3749])).
% 11.47/11.67 tff(3769,plain,
% 11.47/11.67 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3770,plain,
% 11.47/11.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.67 inference(quant_intro,[status(thm)],[3769])).
% 11.47/11.67 tff(3771,plain,
% 11.47/11.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.67 inference(rewrite,[status(thm)],[])).
% 11.47/11.67 tff(3772,plain,
% 11.47/11.67 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))))),
% 11.47/11.67 inference(bind,[status(th)],[])).
% 11.47/11.67 tff(3773,plain,
% 11.47/11.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3772])).
% 11.47/11.68 tff(3774,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_93')).
% 11.47/11.68 tff(3775,plain,
% 11.47/11.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 11.47/11.68 tff(3776,plain,
% 11.47/11.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3775, 3771])).
% 11.47/11.68 tff(3777,plain,(
% 11.47/11.68 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.68 inference(skolemize,[status(sab)],[3776])).
% 11.47/11.68 tff(3778,plain,
% 11.47/11.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3777, 3770])).
% 11.47/11.68 tff(3779,plain,
% 11.47/11.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s0, s1))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3780,plain,
% 11.47/11.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s0, s1))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3781,plain,
% 11.47/11.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s0, s1)),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3780, 3779])).
% 11.47/11.68 tff(3782,plain,
% 11.47/11.68 (node48(c_s, s0, s1)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3781, 28, 3778, 39])).
% 11.47/11.68 tff(3783,plain,
% 11.47/11.68 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3784,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3783])).
% 11.47/11.68 tff(3785,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3786,plain,
% 11.47/11.68 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) | (~node48(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) | (~node48(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3787,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3786])).
% 11.47/11.68 tff(3788,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_88')).
% 11.47/11.68 tff(3789,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 11.47/11.68 tff(3790,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3789, 3785])).
% 11.47/11.68 tff(3791,plain,(
% 11.47/11.68 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(skolemize,[status(sab)],[3790])).
% 11.47/11.68 tff(3792,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3791, 3784])).
% 11.47/11.68 tff(3793,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3794,plain,
% 11.47/11.68 (((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node48(c_s, s0, s1)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s0, c_idle))) <=> ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3795,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node48(c_s, s0, s1)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1))))),
% 11.47/11.68 inference(monotonicity,[status(thm)],[3794])).
% 11.47/11.68 tff(3796,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node48(c_s, s0, s1)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1)))),
% 11.47/11.68 inference(transitivity,[status(thm)],[3795, 3793])).
% 11.47/11.68 tff(3797,plain,
% 11.47/11.68 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node48(c_s, s0, s1)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3798,plain,
% 11.47/11.68 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_angle_status(c_s, s1, c_arm1stoppedattable) | (~node48(c_s, s0, s1))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 11.47/11.68 tff(3799,plain,
% 11.47/11.68 (m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3798, 3792, 65, 244, 3782])).
% 11.47/11.68 tff(3800,plain,
% 11.47/11.68 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3801,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3800])).
% 11.47/11.68 tff(3802,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3803,plain,
% 11.47/11.68 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | m_state_v_angle(J0, Y, c_arm2topress)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~node42(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~node42(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3804,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3803])).
% 11.47/11.68 tff(3805,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_72')).
% 11.47/11.68 tff(3806,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 11.47/11.68 tff(3807,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3806, 3802])).
% 11.47/11.68 tff(3808,plain,(
% 11.47/11.68 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(skolemize,[status(sab)],[3807])).
% 11.47/11.68 tff(3809,plain,
% 11.47/11.68 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3808, 3801])).
% 11.47/11.68 tff(3810,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3811,plain,
% 11.47/11.68 (((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node42(c_s, s1, s2)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s1, c_counterclock))) <=> (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3812,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node42(c_s, s1, s2)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2))))),
% 11.47/11.68 inference(monotonicity,[status(thm)],[3811])).
% 11.47/11.68 tff(3813,plain,
% 11.47/11.68 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node42(c_s, s1, s2)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2)))),
% 11.47/11.68 inference(transitivity,[status(thm)],[3812, 3810])).
% 11.47/11.68 tff(3814,plain,
% 11.47/11.68 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node42(c_s, s1, s2)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3815,plain,
% 11.47/11.68 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node42(c_s, s1, s2))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 11.47/11.68 tff(3816,plain,
% 11.47/11.68 (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable))),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3815, 3809, 1450, 1409])).
% 11.47/11.68 tff(3817,plain,
% 11.47/11.68 (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3816, 3799])).
% 11.47/11.68 tff(3818,plain,
% 11.47/11.68 (~m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3817, 3768])).
% 11.47/11.68 tff(3819,plain,
% 11.47/11.68 (~node37(c_s, s1)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[1404, 3818])).
% 11.47/11.68 tff(3820,plain,
% 11.47/11.68 ($false),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[1432, 3819, 3754])).
% 11.47/11.68 tff(3821,plain,(~m_state_v_angle(c_s, s2, c_arm2todepbelt)), inference(lemma,lemma(discharge,[]))).
% 11.47/11.68 tff(3822,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node152(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node152(c_s, s2)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3823,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node152(c_s, s2)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3824,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node152(c_s, s2))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 11.47/11.68 tff(3825,plain,
% 11.47/11.68 (~node152(c_s, s2)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3824, 1315, 3821])).
% 11.47/11.68 tff(3826,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3827,plain,
% 11.47/11.68 ((m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2))) <=> ((~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3828,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)))),
% 11.47/11.68 inference(monotonicity,[status(thm)],[3827])).
% 11.47/11.68 tff(3829,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(transitivity,[status(thm)],[3828, 3826])).
% 11.47/11.68 tff(3830,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3831,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 11.47/11.68 tff(3832,plain,
% 11.47/11.68 (~node150(c_s, s2)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3831, 1359, 2612])).
% 11.47/11.68 tff(3833,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3834,plain,
% 11.47/11.68 ((m_state_v_A1M(c_s, s2, c_retract) | (~node153(c_s, s2))) <=> ((~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3835,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node153(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)))),
% 11.47/11.68 inference(monotonicity,[status(thm)],[3834])).
% 11.47/11.68 tff(3836,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node153(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.47/11.68 inference(transitivity,[status(thm)],[3835, 3833])).
% 11.47/11.68 tff(3837,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node153(c_s, s2)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3838,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3837, 3836])).
% 11.47/11.68 tff(3839,plain,
% 11.47/11.68 (~node153(c_s, s2)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3838, 3674, 2612])).
% 11.47/11.68 tff(3840,plain,
% 11.47/11.68 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3841,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3840])).
% 11.47/11.68 tff(3842,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3843,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_148')).
% 11.47/11.68 tff(3844,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 11.47/11.68 tff(3845,plain,(
% 11.47/11.68 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.47/11.68 inference(skolemize,[status(sab)],[3844])).
% 11.47/11.68 tff(3846,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3845, 3841])).
% 11.47/11.68 tff(3847,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | ((~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3848,plain,
% 11.47/11.68 ((m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2))) <=> ((~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3849,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | ((~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.47/11.68 inference(monotonicity,[status(thm)],[3848])).
% 11.47/11.68 tff(3850,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.68 inference(transitivity,[status(thm)],[3849, 3847])).
% 11.47/11.68 tff(3851,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))),
% 11.47/11.68 inference(quant_inst,[status(thm)],[])).
% 11.47/11.68 tff(3852,plain,
% 11.47/11.68 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (~node154(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 11.47/11.68 tff(3853,plain,
% 11.47/11.68 (~node154(c_s, s2)),
% 11.47/11.68 inference(unit_resolution,[status(thm)],[3852, 3846, 1083])).
% 11.47/11.68 tff(3854,plain,
% 11.47/11.68 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))))),
% 11.47/11.68 inference(bind,[status(th)],[])).
% 11.47/11.68 tff(3855,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.47/11.68 inference(quant_intro,[status(thm)],[3854])).
% 11.47/11.68 tff(3856,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3857,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_164')).
% 11.47/11.68 tff(3858,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 11.47/11.68 tff(3859,plain,(
% 11.47/11.68 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.47/11.68 inference(skolemize,[status(sab)],[3858])).
% 11.47/11.68 tff(3860,plain,
% 11.47/11.68 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.47/11.68 inference(modus_ponens,[status(thm)],[3859, 3855])).
% 11.47/11.68 tff(3861,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | ((~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3862,plain,
% 11.47/11.68 ((m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2))) <=> ((~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.68 inference(rewrite,[status(thm)],[])).
% 11.47/11.68 tff(3863,plain,
% 11.47/11.68 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | ((~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.47/11.69 inference(monotonicity,[status(thm)],[3862])).
% 11.47/11.69 tff(3864,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on))),
% 11.47/11.69 inference(transitivity,[status(thm)],[3863, 3861])).
% 11.47/11.69 tff(3865,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3866,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (~node156(c_s, s2)) | m_state_v_A1Mag(c_s, s2, c_on)),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 11.47/11.69 tff(3867,plain,
% 11.47/11.69 (~node156(c_s, s2)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3866, 3860, 1083])).
% 11.47/11.69 tff(3868,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3869,plain,
% 11.47/11.69 ((m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2))) <=> ((~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3870,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.47/11.69 inference(monotonicity,[status(thm)],[3869])).
% 11.47/11.69 tff(3871,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.47/11.69 inference(transitivity,[status(thm)],[3870, 3868])).
% 11.47/11.69 tff(3872,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3873,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 11.47/11.69 tff(3874,plain,
% 11.47/11.69 (~node155(c_s, s2)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3873, 1246, 1124])).
% 11.47/11.69 tff(3875,plain,
% 11.47/11.69 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3876,plain,
% 11.47/11.69 ((node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3))) <=> (node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3877,plain,
% 11.47/11.69 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3)))),
% 11.47/11.69 inference(monotonicity,[status(thm)],[3876])).
% 11.47/11.69 tff(3878,plain,
% 11.47/11.69 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3))),
% 11.47/11.69 inference(transitivity,[status(thm)],[3877, 3875])).
% 11.47/11.69 tff(3879,plain,
% 11.47/11.69 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3880,plain,
% 11.47/11.69 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s2) | node156(c_s, s2) | node155(c_s, s2) | node154(c_s, s2) | node152(c_s, s2) | node151(c_s, s2) | node153(c_s, s2) | node150(c_s, s2) | (~node159(c_s, s2, s3)) | node158(c_s, s2, s3)),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 11.47/11.69 tff(3881,plain,
% 11.47/11.69 (node157(c_s, s2) | node151(c_s, s2) | node158(c_s, s2, s3)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3880, 1376, 3874, 3867, 3853, 3839, 3832, 3825, 3748])).
% 11.47/11.69 tff(3882,plain,
% 11.47/11.69 (node158(c_s, s2, s3)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3881, 3744, 3707])).
% 11.47/11.69 tff(3883,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3884,plain,
% 11.47/11.69 (((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock))) <=> (m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3885,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock))))),
% 11.47/11.69 inference(monotonicity,[status(thm)],[3884])).
% 11.47/11.69 tff(3886,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.47/11.69 inference(transitivity,[status(thm)],[3885, 3883])).
% 11.47/11.69 tff(3887,plain,
% 11.47/11.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3888,plain,
% 11.47/11.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 11.47/11.69 tff(3889,plain,
% 11.47/11.69 (~m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3888, 1393, 1400, 1671])).
% 11.47/11.69 tff(3890,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3891,plain,
% 11.47/11.69 (((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3892,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3))))),
% 11.47/11.69 inference(monotonicity,[status(thm)],[3891])).
% 11.47/11.69 tff(3893,plain,
% 11.47/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.47/11.69 inference(transitivity,[status(thm)],[3892, 3890])).
% 11.47/11.69 tff(3894,plain,
% 11.47/11.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3895,plain,
% 11.47/11.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 11.47/11.69 tff(3896,plain,
% 11.47/11.69 (~m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3895, 1393, 3889, 3882])).
% 11.47/11.69 tff(3897,plain,
% 11.47/11.69 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s3, c_retract)) | (~m_state_v_A2M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~m_state_v_A2M(c_s, s3, c_idle)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3898,plain,
% 11.47/11.69 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s3, c_retract)) | (~m_state_v_A2M(c_s, s3, c_idle)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3899,plain,
% 11.47/11.69 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~m_state_v_A2M(c_s, s3, c_idle))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 11.47/11.69 tff(3900,plain,
% 11.47/11.69 (~m_state_v_A2M(c_s, s3, c_retract)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3899, 535, 1146])).
% 11.47/11.69 tff(3901,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3902,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))),
% 11.47/11.69 inference(quant_inst,[status(thm)],[])).
% 11.47/11.69 tff(3903,plain,
% 11.47/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 11.47/11.69 tff(3904,plain,
% 11.47/11.69 (~node151(c_s, s3)),
% 11.47/11.69 inference(unit_resolution,[status(thm)],[3903, 3740, 3900])).
% 11.47/11.69 tff(3905,plain,
% 11.47/11.69 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))))),
% 11.47/11.69 inference(bind,[status(th)],[])).
% 11.47/11.69 tff(3906,plain,
% 11.47/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 11.47/11.69 inference(quant_intro,[status(thm)],[3905])).
% 11.47/11.69 tff(3907,plain,
% 11.47/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3908,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_147')).
% 11.47/11.69 tff(3909,plain,
% 11.47/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 11.47/11.69 tff(3910,plain,(
% 11.47/11.69 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 11.47/11.69 inference(skolemize,[status(sab)],[3909])).
% 11.47/11.69 tff(3911,plain,
% 11.47/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 11.47/11.69 inference(modus_ponens,[status(thm)],[3910, 3906])).
% 11.47/11.69 tff(3912,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | ((~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3913,plain,
% 11.47/11.69 ((m_state_v_RRM(c_s, s3, c_counterclock) | (~node154(c_s, s3))) <=> ((~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.47/11.69 inference(rewrite,[status(thm)],[])).
% 11.47/11.69 tff(3914,plain,
% 11.47/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node154(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | ((~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)))),
% 11.54/11.69 inference(monotonicity,[status(thm)],[3913])).
% 11.54/11.69 tff(3915,plain,
% 11.54/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node154(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.69 inference(transitivity,[status(thm)],[3914, 3912])).
% 11.54/11.69 tff(3916,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node154(c_s, s3)))),
% 11.54/11.69 inference(quant_inst,[status(thm)],[])).
% 11.54/11.69 tff(3917,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 11.54/11.69 tff(3918,plain,
% 11.54/11.69 (~node154(c_s, s3)),
% 11.54/11.69 inference(unit_resolution,[status(thm)],[3917, 3911, 3896])).
% 11.54/11.69 tff(3919,plain,
% 11.54/11.69 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))))),
% 11.54/11.69 inference(bind,[status(th)],[])).
% 11.54/11.69 tff(3920,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 11.54/11.69 inference(quant_intro,[status(thm)],[3919])).
% 11.54/11.69 tff(3921,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3922,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_163')).
% 11.54/11.69 tff(3923,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3922, 3921])).
% 11.54/11.69 tff(3924,plain,(
% 11.54/11.69 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 11.54/11.69 inference(skolemize,[status(sab)],[3923])).
% 11.54/11.69 tff(3925,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3924, 3920])).
% 11.54/11.69 tff(3926,plain,
% 11.54/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | ((~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3927,plain,
% 11.54/11.69 ((m_state_v_RRM(c_s, s3, c_counterclock) | (~node156(c_s, s3))) <=> ((~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3928,plain,
% 11.54/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node156(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | ((~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)))),
% 11.54/11.69 inference(monotonicity,[status(thm)],[3927])).
% 11.54/11.69 tff(3929,plain,
% 11.54/11.69 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node156(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.69 inference(transitivity,[status(thm)],[3928, 3926])).
% 11.54/11.69 tff(3930,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~node156(c_s, s3)))),
% 11.54/11.69 inference(quant_inst,[status(thm)],[])).
% 11.54/11.69 tff(3931,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 11.54/11.69 tff(3932,plain,
% 11.54/11.69 (~node156(c_s, s3)),
% 11.54/11.69 inference(unit_resolution,[status(thm)],[3931, 3925, 3896])).
% 11.54/11.69 tff(3933,plain,
% 11.54/11.69 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))))),
% 11.54/11.69 inference(bind,[status(th)],[])).
% 11.54/11.69 tff(3934,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.54/11.69 inference(quant_intro,[status(thm)],[3933])).
% 11.54/11.69 tff(3935,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3936,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_138')).
% 11.54/11.69 tff(3937,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 11.54/11.69 tff(3938,plain,(
% 11.54/11.69 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.54/11.69 inference(skolemize,[status(sab)],[3937])).
% 11.54/11.69 tff(3939,plain,
% 11.54/11.69 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3938, 3934])).
% 11.54/11.69 tff(3940,plain,
% 11.54/11.69 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3941,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))),
% 11.54/11.69 inference(quant_inst,[status(thm)],[])).
% 11.54/11.69 tff(3942,plain,
% 11.54/11.69 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3))),
% 11.54/11.69 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 11.54/11.69 tff(3943,plain,
% 11.54/11.69 (~node152(c_s, s3)),
% 11.54/11.69 inference(unit_resolution,[status(thm)],[3942, 3939, 3900])).
% 11.54/11.69 tff(3944,plain,
% 11.54/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3945,plain,
% 11.54/11.69 (((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise))) <=> ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 11.54/11.69 inference(rewrite,[status(thm)],[])).
% 11.54/11.69 tff(3946,plain,
% 11.54/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3))))),
% 11.54/11.69 inference(monotonicity,[status(thm)],[3945])).
% 11.54/11.69 tff(3947,plain,
% 11.54/11.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 11.54/11.70 inference(transitivity,[status(thm)],[3946, 3944])).
% 11.54/11.70 tff(3948,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3949,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 11.54/11.70 tff(3950,plain,
% 11.54/11.70 (~m_state_v_RRM(c_s, s3, c_clockwise)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3949, 1393, 3700, 3882])).
% 11.54/11.70 tff(3951,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~node157(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~node157(c_s, s3)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3952,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~node157(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3953,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~node157(c_s, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 11.54/11.70 tff(3954,plain,
% 11.54/11.70 (~node157(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3953, 1282, 3950])).
% 11.54/11.70 tff(3955,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3956,plain,
% 11.54/11.70 ((m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3))) <=> ((~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3957,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)))),
% 11.54/11.70 inference(monotonicity,[status(thm)],[3956])).
% 11.54/11.70 tff(3958,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.54/11.70 inference(transitivity,[status(thm)],[3957, 3955])).
% 11.54/11.70 tff(3959,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3960,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 11.54/11.70 tff(3961,plain,
% 11.54/11.70 (~node153(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3960, 3674, 2838])).
% 11.54/11.70 tff(3962,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3963,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3964,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 11.54/11.70 tff(3965,plain,
% 11.54/11.70 (~node150(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3964, 1359, 2838])).
% 11.54/11.70 tff(3966,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3967,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3968,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 11.54/11.70 tff(3969,plain,
% 11.54/11.70 (~node155(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3968, 1246, 1232])).
% 11.54/11.70 tff(3970,plain,
% 11.54/11.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3971,plain,
% 11.54/11.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3972,plain,
% 11.54/11.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4)),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 11.54/11.70 tff(3973,plain,
% 11.54/11.70 (node159(c_s, s3, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3972, 52, 1260, 1179])).
% 11.54/11.70 tff(3974,plain,
% 11.54/11.70 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3975,plain,
% 11.54/11.70 ((node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4))) <=> (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3976,plain,
% 11.54/11.70 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4))))),
% 11.54/11.70 inference(monotonicity,[status(thm)],[3975])).
% 11.54/11.70 tff(3977,plain,
% 11.54/11.70 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 11.54/11.70 inference(transitivity,[status(thm)],[3976, 3974])).
% 11.54/11.70 tff(3978,plain,
% 11.54/11.70 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3979,plain,
% 11.54/11.70 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 11.54/11.70 tff(3980,plain,
% 11.54/11.70 (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node155(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3979, 1376, 3973])).
% 11.54/11.70 tff(3981,plain,
% 11.54/11.70 (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node153(c_s, s3) | node157(c_s, s3) | node150(c_s, s3) | node158(c_s, s3, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3980, 3969])).
% 11.54/11.70 tff(3982,plain,
% 11.54/11.70 (node154(c_s, s3) | node152(c_s, s3) | node151(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3981, 3965, 3961])).
% 11.54/11.70 tff(3983,plain,
% 11.54/11.70 (node158(c_s, s3, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3982, 3954, 3943, 3932, 3918, 3904])).
% 11.54/11.70 tff(3984,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3985,plain,
% 11.54/11.70 (((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock))) <=> (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3986,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4))))),
% 11.54/11.70 inference(monotonicity,[status(thm)],[3985])).
% 11.54/11.70 tff(3987,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(transitivity,[status(thm)],[3986, 3984])).
% 11.54/11.70 tff(3988,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3989,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 11.54/11.70 tff(3990,plain,
% 11.54/11.70 (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4))),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3989, 1393])).
% 11.54/11.70 tff(3991,plain,
% 11.54/11.70 (~m_state_v_RRM(c_s, s4, c_counterclock)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3990, 3983, 3896])).
% 11.54/11.70 tff(3992,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3993,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(3994,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 11.54/11.70 tff(3995,plain,
% 11.54/11.70 (~node156(c_s, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[3994, 3925, 3991])).
% 11.54/11.70 tff(3996,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3997,plain,
% 11.54/11.70 (((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise))) <=> (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(3998,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4))))),
% 11.54/11.70 inference(monotonicity,[status(thm)],[3997])).
% 11.54/11.70 tff(3999,plain,
% 11.54/11.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 11.54/11.70 inference(transitivity,[status(thm)],[3998, 3996])).
% 11.54/11.70 tff(4000,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(4001,plain,
% 11.54/11.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 11.54/11.70 tff(4002,plain,
% 11.54/11.70 (~m_state_v_RRM(c_s, s4, c_clockwise)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[4001, 1393, 3950, 3983])).
% 11.54/11.70 tff(4003,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4004,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(4005,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 11.54/11.70 tff(4006,plain,
% 11.54/11.70 (~node157(c_s, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[4005, 1282, 4002])).
% 11.54/11.70 tff(4007,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4008,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(4009,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 11.54/11.70 tff(4010,plain,
% 11.54/11.70 (~node154(c_s, s4)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[4009, 3911, 3991])).
% 11.54/11.70 tff(4011,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4012,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(4013,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 11.54/11.70 tff(4014,plain,
% 11.54/11.70 (~node138(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[4013, 560, 3900])).
% 11.54/11.70 tff(4015,plain,
% 11.54/11.70 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))))),
% 11.54/11.70 inference(bind,[status(th)],[])).
% 11.54/11.70 tff(4016,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 11.54/11.70 inference(quant_intro,[status(thm)],[4015])).
% 11.54/11.70 tff(4017,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4018,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_76')).
% 11.54/11.70 tff(4019,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 11.54/11.70 tff(4020,plain,(
% 11.54/11.70 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 11.54/11.70 inference(skolemize,[status(sab)],[4019])).
% 11.54/11.70 tff(4021,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4020, 4016])).
% 11.54/11.70 tff(4022,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node134(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node134(c_s, s3)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4023,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node134(c_s, s3)))),
% 11.54/11.70 inference(quant_inst,[status(thm)],[])).
% 11.54/11.70 tff(4024,plain,
% 11.54/11.70 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node134(c_s, s3))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 11.54/11.70 tff(4025,plain,
% 11.54/11.70 (~node134(c_s, s3)),
% 11.54/11.70 inference(unit_resolution,[status(thm)],[4024, 4021, 1150])).
% 11.54/11.70 tff(4026,plain,
% 11.54/11.70 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X))))),
% 11.54/11.70 inference(bind,[status(th)],[])).
% 11.54/11.70 tff(4027,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))),
% 11.54/11.70 inference(quant_intro,[status(thm)],[4026])).
% 11.54/11.70 tff(4028,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4029,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_59')).
% 11.54/11.70 tff(4030,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 11.54/11.70 tff(4031,plain,(
% 11.54/11.70 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))),
% 11.54/11.70 inference(skolemize,[status(sab)],[4030])).
% 11.54/11.70 tff(4032,plain,
% 11.54/11.70 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))),
% 11.54/11.70 inference(modus_ponens,[status(thm)],[4031, 4027])).
% 11.54/11.70 tff(4033,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4034,plain,
% 11.54/11.70 ((m_state_v_A1M(c_s, s3, c_idle) | (~node132(c_s, s3))) <=> ((~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.54/11.70 inference(rewrite,[status(thm)],[])).
% 11.54/11.70 tff(4035,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node132(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle)))),
% 11.54/11.70 inference(monotonicity,[status(thm)],[4034])).
% 11.54/11.70 tff(4036,plain,
% 11.54/11.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node132(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4035, 4033])).
% 11.54/11.71 tff(4037,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node132(c_s, s3)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4038,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle)),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 11.54/11.71 tff(4039,plain,
% 11.54/11.71 (~node132(c_s, s3)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4038, 4032, 2572])).
% 11.54/11.71 tff(4040,assumption,(~m_state_v_A2M(c_s, s3, c_extend)), introduced(assumption)).
% 11.54/11.71 tff(4041,plain,
% 11.54/11.71 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))))),
% 11.54/11.71 inference(bind,[status(th)],[])).
% 11.54/11.71 tff(4042,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 11.54/11.71 inference(quant_intro,[status(thm)],[4041])).
% 11.54/11.71 tff(4043,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4044,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_79')).
% 11.54/11.71 tff(4045,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4044, 4043])).
% 11.54/11.71 tff(4046,plain,(
% 11.54/11.71 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 11.54/11.71 inference(skolemize,[status(sab)],[4045])).
% 11.54/11.71 tff(4047,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4046, 4042])).
% 11.54/11.71 tff(4048,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node135(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node135(c_s, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4049,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node135(c_s, s3)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4050,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node135(c_s, s3))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4049, 4048])).
% 11.54/11.71 tff(4051,plain,
% 11.54/11.71 (~node135(c_s, s3)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4050, 4047, 4040])).
% 11.54/11.71 tff(4052,assumption,(~m_state_v_a2ext(c_s, s3, c_retracted)), introduced(assumption)).
% 11.54/11.71 tff(4053,assumption,(node35(c_s, s2, s3)), introduced(assumption)).
% 11.54/11.71 tff(4054,assumption,(m_state_v_a2ext(c_s, s2, c_retracted)), introduced(assumption)).
% 11.54/11.71 tff(4055,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4056,plain,
% 11.54/11.71 (((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4057,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))))),
% 11.54/11.71 inference(monotonicity,[status(thm)],[4056])).
% 11.54/11.71 tff(4058,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4057, 4055])).
% 11.54/11.71 tff(4059,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4060,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 11.54/11.71 tff(4061,plain,
% 11.54/11.71 ($false),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4060, 708, 4054, 4052, 4053])).
% 11.54/11.71 tff(4062,plain,((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 11.54/11.71 tff(4063,plain,
% 11.54/11.71 (m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4062, 725])).
% 11.54/11.71 tff(4064,plain,
% 11.54/11.71 (~node35(c_s, s2, s3)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4063, 4052])).
% 11.54/11.71 tff(4065,assumption,(~node35(c_s, s2, s3)), introduced(assumption)).
% 11.54/11.71 tff(4066,assumption,(~m_state_v_A2M(c_s, s2, c_extend)), introduced(assumption)).
% 11.54/11.71 tff(4067,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4068,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4069,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend)),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 11.54/11.71 tff(4070,plain,
% 11.54/11.71 (~node33(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4069, 684, 4066])).
% 11.54/11.71 tff(4071,plain,
% 11.54/11.71 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))))),
% 11.54/11.71 inference(bind,[status(th)],[])).
% 11.54/11.71 tff(4072,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 11.54/11.71 inference(quant_intro,[status(thm)],[4071])).
% 11.54/11.71 tff(4073,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4074,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_49')).
% 11.54/11.71 tff(4075,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 11.54/11.71 tff(4076,plain,(
% 11.54/11.71 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 11.54/11.71 inference(skolemize,[status(sab)],[4075])).
% 11.54/11.71 tff(4077,plain,
% 11.54/11.71 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4076, 4072])).
% 11.54/11.71 tff(4078,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4079,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4080,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 11.54/11.71 tff(4081,plain,
% 11.54/11.71 (~node34(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4080, 4077, 4066])).
% 11.54/11.71 tff(4082,assumption,(~node33(c_s, s2)), introduced(assumption)).
% 11.54/11.71 tff(4083,assumption,(~node34(c_s, s2)), introduced(assumption)).
% 11.54/11.71 tff(4084,assumption,(~node36(c_s, s2, s3)), introduced(assumption)).
% 11.54/11.71 tff(4085,plain,
% 11.54/11.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4086,plain,
% 11.54/11.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4087,plain,
% 11.54/11.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3)),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 11.54/11.71 tff(4088,plain,
% 11.54/11.71 ($false),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4087, 28, 575, 794, 4084])).
% 11.54/11.71 tff(4089,plain,(node36(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.71 tff(4090,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4091,plain,
% 11.54/11.71 ((m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3))) <=> (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4092,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3)))),
% 11.54/11.71 inference(monotonicity,[status(thm)],[4091])).
% 11.54/11.71 tff(4093,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4092, 4090])).
% 11.54/11.71 tff(4094,plain,
% 11.54/11.71 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4095,plain,
% 11.54/11.71 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3)),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 11.54/11.71 tff(4096,plain,
% 11.54/11.71 (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | node35(c_s, s2, s3)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4095, 632, 4089])).
% 11.54/11.71 tff(4097,plain,
% 11.54/11.71 (m_state_v_A2M(c_s, s2, c_retract)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4096, 4083, 4065, 4082])).
% 11.54/11.71 tff(4098,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4099,plain,
% 11.54/11.71 (((~m_state_v_A2M(c_s, s2, c_retract)) | node34(c_s, s2) | node33(c_s, s2) | (~node36(c_s, s2, s3)) | m_state_v_a2ext(c_s, s3, c_retracted)) <=> ((~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4100,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | node34(c_s, s2) | node33(c_s, s2) | (~node36(c_s, s2, s3)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3))))),
% 11.54/11.71 inference(monotonicity,[status(thm)],[4099])).
% 11.54/11.71 tff(4101,plain,
% 11.54/11.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | node34(c_s, s2) | node33(c_s, s2) | (~node36(c_s, s2, s3)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3)))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4100, 4098])).
% 11.54/11.71 tff(4102,plain,
% 11.54/11.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | node34(c_s, s2) | node33(c_s, s2) | (~node36(c_s, s2, s3)) | m_state_v_a2ext(c_s, s3, c_retracted))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4103,plain,
% 11.54/11.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node36(c_s, s2, s3))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4102, 4101])).
% 11.54/11.71 tff(4104,plain,
% 11.54/11.71 ((~m_state_v_A2M(c_s, s2, c_retract)) | node33(c_s, s2) | node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4103, 614, 4089])).
% 11.54/11.71 tff(4105,plain,
% 11.54/11.71 ($false),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4104, 4097, 4083, 4052, 4082])).
% 11.54/11.71 tff(4106,plain,(node34(c_s, s2) | m_state_v_a2ext(c_s, s3, c_retracted) | node33(c_s, s2) | node35(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.71 tff(4107,plain,
% 11.54/11.71 ($false),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4106, 4081, 4070, 4065, 4052])).
% 11.54/11.71 tff(4108,plain,(m_state_v_A2M(c_s, s2, c_extend) | node35(c_s, s2, s3) | m_state_v_a2ext(c_s, s3, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.71 tff(4109,plain,
% 11.54/11.71 (m_state_v_A2M(c_s, s2, c_extend)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4108, 4064, 4052])).
% 11.54/11.71 tff(4110,plain,
% 11.54/11.71 (^[I0: $i, X: $i] : refl(((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract))) <=> ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract))))),
% 11.54/11.71 inference(bind,[status(th)],[])).
% 11.54/11.71 tff(4111,plain,
% 11.54/11.71 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))),
% 11.54/11.71 inference(quant_intro,[status(thm)],[4110])).
% 11.54/11.71 tff(4112,plain,
% 11.54/11.71 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4113,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_8')).
% 11.54/11.71 tff(4114,plain,
% 11.54/11.71 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4113, 4112])).
% 11.54/11.71 tff(4115,plain,(
% 11.54/11.71 ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))),
% 11.54/11.71 inference(skolemize,[status(sab)],[4114])).
% 11.54/11.71 tff(4116,plain,
% 11.54/11.71 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4115, 4111])).
% 11.54/11.71 tff(4117,plain,
% 11.54/11.71 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | ((~m_state_v_A2M(c_s, s2, c_extend)) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4118,plain,
% 11.54/11.71 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | ((~m_state_v_A2M(c_s, s2, c_extend)) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4119,plain,
% 11.54/11.71 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~m_state_v_A2M(c_s, s2, c_retract))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 11.54/11.71 tff(4120,plain,
% 11.54/11.71 (~m_state_v_A2M(c_s, s2, c_retract)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4119, 4116, 4109])).
% 11.54/11.71 tff(4121,plain,
% 11.54/11.71 (~node138(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[563, 560, 4120])).
% 11.54/11.71 tff(4122,assumption,(~m_state_v_angle(c_s, s2, c_arm2topress)), introduced(assumption)).
% 11.54/11.71 tff(4123,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm2topress))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4124,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm2topress))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4125,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm2topress)),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 11.54/11.71 tff(4126,plain,
% 11.54/11.71 (~node33(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4125, 589, 4122])).
% 11.54/11.71 tff(4127,plain,
% 11.54/11.71 (node34(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4106, 4126, 4065, 4052])).
% 11.54/11.71 tff(4128,plain,
% 11.54/11.71 (~m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[3817, 4122])).
% 11.54/11.71 tff(4129,plain,
% 11.54/11.71 (~node37(c_s, s1)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[1404, 4128])).
% 11.54/11.71 tff(4130,plain,
% 11.54/11.71 (node41(c_s, s1, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[1432, 4129])).
% 11.54/11.71 tff(4131,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4132,plain,
% 11.54/11.71 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4133,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2))))),
% 11.54/11.71 inference(monotonicity,[status(thm)],[4132])).
% 11.54/11.71 tff(4134,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2)))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4133, 4131])).
% 11.54/11.71 tff(4135,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4136,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | (~node41(c_s, s1, s2))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 11.54/11.71 tff(4137,plain,
% 11.54/11.71 (~m_state_v_angle(c_s, s2, c_arm2todepbelt)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4136, 340, 366, 4130])).
% 11.54/11.71 tff(4138,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node34(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node34(c_s, s2)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4139,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node34(c_s, s2)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4140,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node34(c_s, s2))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 11.54/11.71 tff(4141,plain,
% 11.54/11.71 ($false),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4140, 600, 4137, 4127])).
% 11.54/11.71 tff(4142,plain,(m_state_v_angle(c_s, s2, c_arm2topress) | node35(c_s, s2, s3) | m_state_v_a2ext(c_s, s3, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.71 tff(4143,plain,
% 11.54/11.71 (m_state_v_angle(c_s, s2, c_arm2topress)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4142, 4064, 4052])).
% 11.54/11.71 tff(4144,plain,
% 11.54/11.71 (~m_state_v_angle(c_s, s2, c_arm2todepbelt)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[3767, 3761, 4143])).
% 11.54/11.71 tff(4145,plain,
% 11.54/11.71 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node139(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node139(c_s, s2)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4146,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node139(c_s, s2)))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4147,plain,
% 11.54/11.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node139(c_s, s2))),
% 11.54/11.71 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 11.54/11.71 tff(4148,plain,
% 11.54/11.71 (~node139(c_s, s2)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[4147, 171, 4144])).
% 11.54/11.71 tff(4149,plain,
% 11.54/11.71 (node140(c_s, s2, s3)),
% 11.54/11.71 inference(unit_resolution,[status(thm)],[1143, 4148, 4121])).
% 11.54/11.71 tff(4150,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4151,plain,
% 11.54/11.71 (((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_extend)) | m_state_v_A2M(c_s, s3, c_extend)) <=> (m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3)))),
% 11.54/11.71 inference(rewrite,[status(thm)],[])).
% 11.54/11.71 tff(4152,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_extend)) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3))))),
% 11.54/11.71 inference(monotonicity,[status(thm)],[4151])).
% 11.54/11.71 tff(4153,plain,
% 11.54/11.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_extend)) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3)))),
% 11.54/11.71 inference(transitivity,[status(thm)],[4152, 4150])).
% 11.54/11.71 tff(4154,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_extend)) | m_state_v_A2M(c_s, s3, c_extend))),
% 11.54/11.71 inference(quant_inst,[status(thm)],[])).
% 11.54/11.71 tff(4155,plain,
% 11.54/11.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s2, s3))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 11.54/11.72 tff(4156,plain,
% 11.54/11.72 ($false),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4155, 211, 4040, 4109, 4149])).
% 11.54/11.72 tff(4157,plain,(m_state_v_a2ext(c_s, s3, c_retracted) | m_state_v_A2M(c_s, s3, c_extend)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.72 tff(4158,plain,
% 11.54/11.72 (m_state_v_a2ext(c_s, s3, c_retracted)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4157, 4040])).
% 11.54/11.72 tff(4159,plain,
% 11.54/11.72 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s3, c_ob)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s3, c_ob)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4160,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s3, c_ob)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4161,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s3, c_ob)) | (~m_state_v_a2ext(c_s, s3, c_retracted))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 11.54/11.72 tff(4162,plain,
% 11.54/11.72 (~m_state_v_a2ext(c_s, s3, c_ob)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4161, 732, 4158])).
% 11.54/11.72 tff(4163,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4164,plain,
% 11.54/11.72 ((m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3))) <=> ((~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4165,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob)))),
% 11.54/11.72 inference(monotonicity,[status(thm)],[4164])).
% 11.54/11.72 tff(4166,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))),
% 11.54/11.72 inference(transitivity,[status(thm)],[4165, 4163])).
% 11.54/11.72 tff(4167,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4168,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 11.54/11.72 tff(4169,plain,
% 11.54/11.72 (~node137(c_s, s3)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4168, 757, 4162])).
% 11.54/11.72 tff(4170,assumption,(~node132(c_s, s3)), introduced(assumption)).
% 11.54/11.72 tff(4171,assumption,(~node138(c_s, s3)), introduced(assumption)).
% 11.54/11.72 tff(4172,assumption,(~node134(c_s, s3)), introduced(assumption)).
% 11.54/11.72 tff(4173,assumption,(~m_state_v_A2M(c_s, s4, c_idle)), introduced(assumption)).
% 11.54/11.72 tff(4174,assumption,(~m_state_v_A2M(c_s, s3, c_retract)), introduced(assumption)).
% 11.54/11.72 tff(4175,plain,
% 11.54/11.72 (^[I0: $i, X: $i] : refl((m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend)) <=> (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend)))),
% 11.54/11.72 inference(bind,[status(th)],[])).
% 11.54/11.72 tff(4176,plain,
% 11.54/11.72 (![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend)) <=> ![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(quant_intro,[status(thm)],[4175])).
% 11.54/11.72 tff(4177,plain,
% 11.54/11.72 (![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend)) <=> ![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4178,plain,
% 11.54/11.72 (^[I0: $i, X: $i] : rewrite(((m_state_v_A2M(I0, X, c_extend) | m_state_v_A2M(I0, X, c_retract)) | m_state_v_A2M(I0, X, c_idle)) <=> (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend)))),
% 11.54/11.72 inference(bind,[status(th)],[])).
% 11.54/11.72 tff(4179,plain,
% 11.54/11.72 (![I0: $i, X: $i] : ((m_state_v_A2M(I0, X, c_extend) | m_state_v_A2M(I0, X, c_retract)) | m_state_v_A2M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(quant_intro,[status(thm)],[4178])).
% 11.54/11.72 tff(4180,axiom,(![I0: $i, X: $i] : ((m_state_v_A2M(I0, X, c_extend) | m_state_v_A2M(I0, X, c_retract)) | m_state_v_A2M(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_7')).
% 11.54/11.72 tff(4181,plain,
% 11.54/11.72 (![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 11.54/11.72 tff(4182,plain,
% 11.54/11.72 (![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4181, 4177])).
% 11.54/11.72 tff(4183,plain,(
% 11.54/11.72 ![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(skolemize,[status(sab)],[4182])).
% 11.54/11.72 tff(4184,plain,
% 11.54/11.72 (![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4183, 4176])).
% 11.54/11.72 tff(4185,plain,
% 11.54/11.72 (((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | (m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle))) <=> ((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4186,plain,
% 11.54/11.72 ((m_state_v_A2M(c_s, s3, c_idle) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend)) <=> (m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4187,plain,
% 11.54/11.72 (((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | (m_state_v_A2M(c_s, s3, c_idle) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | (m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle)))),
% 11.54/11.72 inference(monotonicity,[status(thm)],[4186])).
% 11.54/11.72 tff(4188,plain,
% 11.54/11.72 (((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | (m_state_v_A2M(c_s, s3, c_idle) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle))),
% 11.54/11.72 inference(transitivity,[status(thm)],[4187, 4185])).
% 11.54/11.72 tff(4189,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | (m_state_v_A2M(c_s, s3, c_idle) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4190,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : (m_state_v_A2M(I0, X, c_idle) | m_state_v_A2M(I0, X, c_retract) | m_state_v_A2M(I0, X, c_extend))) | m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 11.54/11.72 tff(4191,plain,
% 11.54/11.72 (m_state_v_A2M(c_s, s3, c_retract) | m_state_v_A2M(c_s, s3, c_extend) | m_state_v_A2M(c_s, s3, c_idle)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4190, 4184])).
% 11.54/11.72 tff(4192,plain,
% 11.54/11.72 (m_state_v_A2M(c_s, s3, c_idle)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4191, 4174, 4040])).
% 11.54/11.72 tff(4193,assumption,(node140(c_s, s3, s4)), introduced(assumption)).
% 11.54/11.72 tff(4194,assumption,(m_state_v_A2M(c_s, s3, c_idle)), introduced(assumption)).
% 11.54/11.72 tff(4195,plain,
% 11.54/11.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4196,plain,
% 11.54/11.72 (((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle)) <=> (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4197,plain,
% 11.54/11.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4))))),
% 11.54/11.72 inference(monotonicity,[status(thm)],[4196])).
% 11.54/11.72 tff(4198,plain,
% 11.54/11.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 11.54/11.72 inference(transitivity,[status(thm)],[4197, 4195])).
% 11.54/11.72 tff(4199,plain,
% 11.54/11.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4200,plain,
% 11.54/11.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 11.54/11.72 tff(4201,plain,
% 11.54/11.72 ($false),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4200, 211, 4194, 4173, 4193])).
% 11.54/11.72 tff(4202,plain,((~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle) | (~node140(c_s, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 11.54/11.72 tff(4203,plain,
% 11.54/11.72 (~node140(c_s, s3, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4202, 4192, 4173])).
% 11.54/11.72 tff(4204,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4205,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4206,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 11.54/11.72 tff(4207,plain,
% 11.54/11.72 (~node133(c_s, s3)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4206, 493, 1232])).
% 11.54/11.72 tff(4208,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4209,plain,
% 11.54/11.72 ((m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3))) <=> ((~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4210,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on)))),
% 11.54/11.72 inference(monotonicity,[status(thm)],[4209])).
% 11.54/11.72 tff(4211,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 11.54/11.72 inference(transitivity,[status(thm)],[4210, 4208])).
% 11.54/11.72 tff(4212,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4213,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 11.54/11.72 tff(4214,plain,
% 11.54/11.72 (~node136(c_s, s3)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4213, 478, 1232])).
% 11.54/11.72 tff(4215,plain,
% 11.54/11.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4216,plain,
% 11.54/11.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4217,plain,
% 11.54/11.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 11.54/11.72 tff(4218,plain,
% 11.54/11.72 (node141(c_s, s3, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4217, 52, 49, 1179])).
% 11.54/11.72 tff(4219,plain,
% 11.54/11.72 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4220,plain,
% 11.54/11.72 ((node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4))) <=> (node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4221,plain,
% 11.54/11.72 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4)))),
% 11.54/11.72 inference(monotonicity,[status(thm)],[4220])).
% 11.54/11.72 tff(4222,plain,
% 11.54/11.72 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4))),
% 11.54/11.72 inference(transitivity,[status(thm)],[4221, 4219])).
% 11.54/11.72 tff(4223,plain,
% 11.54/11.72 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4224,plain,
% 11.54/11.72 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | (~node141(c_s, s3, s4)) | node140(c_s, s3, s4)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 11.54/11.72 tff(4225,plain,
% 11.54/11.72 (node136(c_s, s3) | node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node133(c_s, s3) | node140(c_s, s3, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4224, 185, 4218])).
% 11.54/11.72 tff(4226,plain,
% 11.54/11.72 (node132(c_s, s3) | node135(c_s, s3) | node134(c_s, s3) | node139(c_s, s3) | node138(c_s, s3) | node137(c_s, s3) | node140(c_s, s3, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4225, 4214, 4207])).
% 11.54/11.72 tff(4227,plain,
% 11.54/11.72 (node139(c_s, s3)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4226, 4203, 4172, 4171, 4170, 4169, 4051])).
% 11.54/11.72 tff(4228,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4229,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4230,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 11.54/11.72 tff(4231,plain,
% 11.54/11.72 ($false),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4230, 549, 4174, 4227])).
% 11.54/11.72 tff(4232,plain,(m_state_v_A2M(c_s, s3, c_retract) | node134(c_s, s3) | node138(c_s, s3) | node132(c_s, s3) | m_state_v_A2M(c_s, s4, c_idle) | m_state_v_A2M(c_s, s3, c_extend)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.72 tff(4233,plain,
% 11.54/11.72 (m_state_v_A2M(c_s, s4, c_idle)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4232, 4039, 3900, 1150, 4025, 4014])).
% 11.54/11.72 tff(4234,plain,
% 11.54/11.72 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_A2M(c_s, s4, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_A2M(c_s, s4, c_idle)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4235,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_A2M(c_s, s4, c_idle)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4236,plain,
% 11.54/11.72 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_A2M(c_s, s4, c_idle))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 11.54/11.72 tff(4237,plain,
% 11.54/11.72 (~m_state_v_A2M(c_s, s4, c_retract)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4236, 535, 4233])).
% 11.54/11.72 tff(4238,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4239,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4240,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 11.54/11.72 tff(4241,plain,
% 11.54/11.72 (~node151(c_s, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4240, 3740, 4237])).
% 11.54/11.72 tff(4242,plain,
% 11.54/11.72 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4243,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))),
% 11.54/11.72 inference(quant_inst,[status(thm)],[])).
% 11.54/11.72 tff(4244,plain,
% 11.54/11.72 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4))),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 11.54/11.72 tff(4245,plain,
% 11.54/11.72 (~node152(c_s, s4)),
% 11.54/11.72 inference(unit_resolution,[status(thm)],[4244, 3939, 4237])).
% 11.54/11.72 tff(4246,assumption,(~node159(c_s, s4, s5)), introduced(assumption)).
% 11.54/11.72 tff(4247,plain,
% 11.54/11.72 (succ(s4, s5) <=> succ(s4, s5)),
% 11.54/11.72 inference(rewrite,[status(thm)],[])).
% 11.54/11.72 tff(4248,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 11.54/11.72 tff(4249,plain,
% 11.54/11.72 (succ(s4, s5)),
% 11.54/11.72 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 11.54/11.72 tff(4250,plain,
% 11.54/11.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4251,plain,
% 11.54/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4252,plain,
% 11.54/11.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 11.54/11.73 tff(4253,plain,
% 11.54/11.73 (trans(s4, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4252, 4249, 8])).
% 11.54/11.73 tff(4254,plain,
% 11.54/11.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4255,plain,
% 11.54/11.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4256,plain,
% 11.54/11.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5)),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 11.54/11.73 tff(4257,plain,
% 11.54/11.73 ($false),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4256, 52, 1260, 4253, 4246])).
% 11.54/11.73 tff(4258,plain,(node159(c_s, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.73 tff(4259,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4260,plain,
% 11.54/11.73 ((node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5))) <=> (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4261,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5))))),
% 11.54/11.73 inference(monotonicity,[status(thm)],[4260])).
% 11.54/11.73 tff(4262,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))),
% 11.54/11.73 inference(transitivity,[status(thm)],[4261, 4259])).
% 11.54/11.73 tff(4263,plain,
% 11.54/11.73 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4264,plain,
% 11.54/11.73 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 11.54/11.73 tff(4265,plain,
% 11.54/11.73 (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4264, 1376, 4258])).
% 11.54/11.73 tff(4266,plain,
% 11.54/11.73 (node158(c_s, s4, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4265, 4245, 4241, 4010, 4006, 3995, 3688, 3681, 1250])).
% 11.54/11.73 tff(4267,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4268,plain,
% 11.54/11.73 (((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise))) <=> (m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4269,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise))))),
% 11.54/11.73 inference(monotonicity,[status(thm)],[4268])).
% 11.54/11.73 tff(4270,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise)))),
% 11.54/11.73 inference(transitivity,[status(thm)],[4269, 4267])).
% 11.54/11.73 tff(4271,plain,
% 11.54/11.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4272,plain,
% 11.54/11.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 11.54/11.73 tff(4273,plain,
% 11.54/11.73 (~m_state_v_RRM(c_s, s5, c_clockwise)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4272, 1393, 4002, 4266])).
% 11.54/11.73 tff(4274,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : refl(((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4275,plain,
% 11.54/11.73 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(quant_intro,[status(thm)],[4274])).
% 11.54/11.73 tff(4276,plain,
% 11.54/11.73 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4277,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X))) <=> ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4278,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(quant_intro,[status(thm)],[4277])).
% 11.54/11.73 tff(4279,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_68')).
% 11.54/11.73 tff(4280,plain,
% 11.54/11.73 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 11.54/11.73 tff(4281,plain,
% 11.54/11.73 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4280, 4276])).
% 11.54/11.73 tff(4282,plain,(
% 11.54/11.73 ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(skolemize,[status(sab)],[4281])).
% 11.54/11.73 tff(4283,plain,
% 11.54/11.73 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4282, 4275])).
% 11.54/11.73 tff(4284,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4285,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4286,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise)),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 11.54/11.73 tff(4287,plain,
% 11.54/11.73 (~node40(c_s, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4286, 4283, 4273])).
% 11.54/11.73 tff(4288,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4289,plain,
% 11.54/11.73 (((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock))) <=> (m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4290,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock))))),
% 11.54/11.73 inference(monotonicity,[status(thm)],[4289])).
% 11.54/11.73 tff(4291,plain,
% 11.54/11.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.54/11.73 inference(transitivity,[status(thm)],[4290, 4288])).
% 11.54/11.73 tff(4292,plain,
% 11.54/11.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4293,plain,
% 11.54/11.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 11.54/11.73 tff(4294,plain,
% 11.54/11.73 (~m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4293, 1393, 3991, 4266])).
% 11.54/11.73 tff(4295,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4296,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 11.54/11.73 inference(quant_intro,[status(thm)],[4295])).
% 11.54/11.73 tff(4297,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4298,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_62')).
% 11.54/11.73 tff(4299,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 11.54/11.73 tff(4300,plain,(
% 11.54/11.73 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 11.54/11.73 inference(skolemize,[status(sab)],[4299])).
% 11.54/11.73 tff(4301,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4300, 4296])).
% 11.54/11.73 tff(4302,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node38(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node38(c_s, s5)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4303,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node38(c_s, s5)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4304,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node38(c_s, s5))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4303, 4302])).
% 11.54/11.73 tff(4305,plain,
% 11.54/11.73 (~node38(c_s, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4304, 4301, 4294])).
% 11.54/11.73 tff(4306,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4307,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4308,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 11.54/11.73 tff(4309,plain,
% 11.54/11.73 (~node37(c_s, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4308, 265, 4294])).
% 11.54/11.73 tff(4310,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4311,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 11.54/11.73 inference(quant_intro,[status(thm)],[4310])).
% 11.54/11.73 tff(4312,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4313,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_65')).
% 11.54/11.73 tff(4314,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 11.54/11.73 tff(4315,plain,(
% 11.54/11.73 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 11.54/11.73 inference(skolemize,[status(sab)],[4314])).
% 11.54/11.73 tff(4316,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4315, 4311])).
% 11.54/11.73 tff(4317,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node39(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node39(c_s, s5)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4318,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node39(c_s, s5)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4319,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node39(c_s, s5))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 11.54/11.73 tff(4320,plain,
% 11.54/11.73 (~node39(c_s, s5)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4319, 4316, 4294])).
% 11.54/11.73 tff(4321,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4322,plain,
% 11.54/11.73 ((node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6))) <=> (node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4323,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6))))),
% 11.54/11.73 inference(monotonicity,[status(thm)],[4322])).
% 11.54/11.73 tff(4324,plain,
% 11.54/11.73 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))),
% 11.54/11.73 inference(transitivity,[status(thm)],[4323, 4321])).
% 11.54/11.73 tff(4325,plain,
% 11.54/11.73 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4326,plain,
% 11.54/11.73 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node38(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 11.54/11.73 tff(4327,plain,
% 11.54/11.73 (node41(c_s, s5, s6)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4326, 323, 4320, 4309, 4305, 4287, 32])).
% 11.54/11.73 tff(4328,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4329,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4330,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 11.54/11.73 tff(4331,plain,
% 11.54/11.73 (~node37(c_s, s3)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4330, 265, 3896])).
% 11.54/11.73 tff(4332,assumption,(~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)), introduced(assumption)).
% 11.54/11.73 tff(4333,assumption,(~m_state_v_RRM(c_s, s1, c_counterclock)), introduced(assumption)).
% 11.54/11.73 tff(4334,plain,
% 11.54/11.73 (~node37(c_s, s1)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[1404, 4333])).
% 11.54/11.73 tff(4335,plain,
% 11.54/11.73 (node41(c_s, s1, s2)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[1432, 4334])).
% 11.54/11.73 tff(4336,plain,
% 11.54/11.73 (m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[1457, 4335])).
% 11.54/11.73 tff(4337,plain,
% 11.54/11.73 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4338,plain,
% 11.54/11.73 (((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4339,plain,
% 11.54/11.73 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable))))),
% 11.54/11.73 inference(monotonicity,[status(thm)],[4338])).
% 11.54/11.73 tff(4340,plain,
% 11.54/11.73 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable)))),
% 11.54/11.73 inference(transitivity,[status(thm)],[4339, 4337])).
% 11.54/11.73 tff(4341,plain,
% 11.54/11.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4342,plain,
% 11.54/11.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm1totable))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 11.54/11.73 tff(4343,plain,
% 11.54/11.73 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4342, 298, 4336])).
% 11.54/11.73 tff(4344,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X))))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4345,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))),
% 11.54/11.73 inference(quant_intro,[status(thm)],[4344])).
% 11.54/11.73 tff(4346,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4347,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_84')).
% 11.54/11.73 tff(4348,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 11.54/11.73 tff(4349,plain,(
% 11.54/11.73 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))),
% 11.54/11.73 inference(skolemize,[status(sab)],[4348])).
% 11.54/11.73 tff(4350,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4349, 4345])).
% 11.54/11.73 tff(4351,plain,
% 11.54/11.73 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node46(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node46(c_s, s2)))),
% 11.54/11.73 inference(rewrite,[status(thm)],[])).
% 11.54/11.73 tff(4352,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node46(c_s, s2)))),
% 11.54/11.73 inference(quant_inst,[status(thm)],[])).
% 11.54/11.73 tff(4353,plain,
% 11.54/11.73 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node46(c_s, s2))),
% 11.54/11.73 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 11.54/11.73 tff(4354,plain,
% 11.54/11.73 (~node46(c_s, s2)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[4353, 4350, 4343])).
% 11.54/11.73 tff(4355,plain,
% 11.54/11.73 (~m_state_v_angle(c_s, s2, c_arm2todepbelt)),
% 11.54/11.73 inference(unit_resolution,[status(thm)],[3752, 127, 4336])).
% 11.54/11.73 tff(4356,plain,
% 11.54/11.73 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X))))),
% 11.54/11.73 inference(bind,[status(th)],[])).
% 11.54/11.73 tff(4357,plain,
% 11.54/11.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4356])).
% 11.54/11.74 tff(4358,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4359,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_82')).
% 11.54/11.74 tff(4360,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 11.54/11.74 tff(4361,plain,(
% 11.54/11.74 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))),
% 11.54/11.74 inference(skolemize,[status(sab)],[4360])).
% 11.54/11.74 tff(4362,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4361, 4357])).
% 11.54/11.74 tff(4363,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node45(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node45(c_s, s2)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4364,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node45(c_s, s2)))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4365,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node45(c_s, s2))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 11.54/11.74 tff(4366,plain,
% 11.54/11.74 (~node45(c_s, s2)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4365, 4362, 4355])).
% 11.54/11.74 tff(4367,assumption,(~node44(c_s, s2)), introduced(assumption)).
% 11.54/11.74 tff(4368,plain,
% 11.54/11.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4369,plain,
% 11.54/11.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4370,plain,
% 11.54/11.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3)),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 11.54/11.74 tff(4371,plain,
% 11.54/11.74 (node48(c_s, s2, s3)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4370, 28, 3778, 794])).
% 11.54/11.74 tff(4372,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4373,plain,
% 11.54/11.74 (((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle))) <=> ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4374,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3))))),
% 11.54/11.74 inference(monotonicity,[status(thm)],[4373])).
% 11.54/11.74 tff(4375,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(transitivity,[status(thm)],[4374, 4372])).
% 11.54/11.74 tff(4376,plain,
% 11.54/11.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4377,plain,
% 11.54/11.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 11.54/11.74 tff(4378,plain,
% 11.54/11.74 ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4377, 3792, 4371])).
% 11.54/11.74 tff(4379,plain,
% 11.54/11.74 (~m_state_v_RRM(c_s, s2, c_idle)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4378, 4332, 4336])).
% 11.54/11.74 tff(4380,plain,
% 11.54/11.74 (^[X: $i, J0: $i] : refl(((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle)))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4381,plain,
% 11.54/11.74 (![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4380])).
% 11.54/11.74 tff(4382,plain,
% 11.54/11.74 (![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4383,plain,
% 11.54/11.74 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_idle) | (~node43(J0, X))) <=> ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle)))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4384,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node43(J0, X))) <=> ![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4383])).
% 11.54/11.74 tff(4385,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node43(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_79')).
% 11.54/11.74 tff(4386,plain,
% 11.54/11.74 (![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 11.54/11.74 tff(4387,plain,
% 11.54/11.74 (![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4386, 4382])).
% 11.54/11.74 tff(4388,plain,(
% 11.54/11.74 ![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(skolemize,[status(sab)],[4387])).
% 11.54/11.74 tff(4389,plain,
% 11.54/11.74 (![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4388, 4381])).
% 11.54/11.74 tff(4390,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4391,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4392,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle)),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 11.54/11.74 tff(4393,plain,
% 11.54/11.74 (~node43(c_s, s2)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4392, 4389, 4379])).
% 11.54/11.74 tff(4394,plain,
% 11.54/11.74 (^[Y: $i, X: $i, J0: $i] : refl((node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y))) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y))))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4395,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4394])).
% 11.54/11.74 tff(4396,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4397,plain,
% 11.54/11.74 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node43(J0, X) | node44(J0, X)) | node45(J0, X)) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X))), ((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) <=> ((node43(J0, X) | node44(J0, X) | node45(J0, X)) | node46(J0, X)))), rewrite(((node43(J0, X) | node44(J0, X) | node45(J0, X)) | node46(J0, X)) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X))), ((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X)))), (((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) <=> ((node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X)) | node47(J0, X, Y)))), rewrite(((node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X)) | node47(J0, X, Y)) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y))), (((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y)))), ((((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) | (~node48(J0, X, Y))) <=> ((node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y)) | (~node48(J0, X, Y))))), rewrite(((node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y)) | (~node48(J0, X, Y))) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))), ((((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) | (~node48(J0, X, Y))) <=> (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4398,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) | (~node48(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4397])).
% 11.54/11.74 tff(4399,axiom,(![Y: $i, X: $i, J0: $i] : (((((node43(J0, X) | node44(J0, X)) | node45(J0, X)) | node46(J0, X)) | node47(J0, X, Y)) | (~node48(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_92')).
% 11.54/11.74 tff(4400,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 11.54/11.74 tff(4401,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4400, 4396])).
% 11.54/11.74 tff(4402,plain,(
% 11.54/11.74 ![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(skolemize,[status(sab)],[4401])).
% 11.54/11.74 tff(4403,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4402, 4395])).
% 11.54/11.74 tff(4404,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4405,plain,
% 11.54/11.74 ((node43(c_s, s2) | node44(c_s, s2) | node45(c_s, s2) | node46(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3))) <=> (node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4406,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s2) | node44(c_s, s2) | node45(c_s, s2) | node46(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3))))),
% 11.54/11.74 inference(monotonicity,[status(thm)],[4405])).
% 11.54/11.74 tff(4407,plain,
% 11.54/11.74 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s2) | node44(c_s, s2) | node45(c_s, s2) | node46(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(transitivity,[status(thm)],[4406, 4404])).
% 11.54/11.74 tff(4408,plain,
% 11.54/11.74 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s2) | node44(c_s, s2) | node45(c_s, s2) | node46(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3)))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4409,plain,
% 11.54/11.74 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3) | (~node48(c_s, s2, s3))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 11.54/11.74 tff(4410,plain,
% 11.54/11.74 (node46(c_s, s2) | node44(c_s, s2) | node43(c_s, s2) | node45(c_s, s2) | node47(c_s, s2, s3)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4409, 4403, 4371])).
% 11.54/11.74 tff(4411,plain,
% 11.54/11.74 (node47(c_s, s2, s3)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4410, 4393, 4367, 4366, 4354])).
% 11.54/11.74 tff(4412,assumption,(node157(c_s, s1)), introduced(assumption)).
% 11.54/11.74 tff(4413,plain,
% 11.54/11.74 (m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[1470, 4412])).
% 11.54/11.74 tff(4414,assumption,(~m_state_v_RRM(c_s, s2, c_idle)), introduced(assumption)).
% 11.54/11.74 tff(4415,plain,
% 11.54/11.74 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X))) <=> (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X))))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4416,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4415])).
% 11.54/11.74 tff(4417,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4418,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_170')).
% 11.54/11.74 tff(4419,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4418, 4417])).
% 11.54/11.74 tff(4420,plain,(
% 11.54/11.74 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.54/11.74 inference(skolemize,[status(sab)],[4419])).
% 11.54/11.74 tff(4421,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4420, 4416])).
% 11.54/11.74 tff(4422,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A2M(c_s, s1, c_idle) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A2M(c_s, s1, c_idle) | (~node157(c_s, s1)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4423,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A2M(c_s, s1, c_idle) | (~node157(c_s, s1)))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4424,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A2M(c_s, s1, c_idle) | (~node157(c_s, s1))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 11.54/11.74 tff(4425,plain,
% 11.54/11.74 (m_state_v_A2M(c_s, s1, c_idle)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4424, 4421, 4412])).
% 11.54/11.74 tff(4426,plain,
% 11.54/11.74 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X))) <=> (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X))))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4427,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4426])).
% 11.54/11.74 tff(4428,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4429,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_168')).
% 11.54/11.74 tff(4430,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 11.54/11.74 tff(4431,plain,(
% 11.54/11.74 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))),
% 11.54/11.74 inference(skolemize,[status(sab)],[4430])).
% 11.54/11.74 tff(4432,plain,
% 11.54/11.74 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4431, 4427])).
% 11.54/11.74 tff(4433,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | ((~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4434,plain,
% 11.54/11.74 ((m_state_v_a2ext(c_s, s1, c_retracted) | (~node157(c_s, s1))) <=> ((~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4435,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_retracted) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | ((~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted)))),
% 11.54/11.74 inference(monotonicity,[status(thm)],[4434])).
% 11.54/11.74 tff(4436,plain,
% 11.54/11.74 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_retracted) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.74 inference(transitivity,[status(thm)],[4435, 4433])).
% 11.54/11.74 tff(4437,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_retracted) | (~node157(c_s, s1)))),
% 11.54/11.74 inference(quant_inst,[status(thm)],[])).
% 11.54/11.74 tff(4438,plain,
% 11.54/11.74 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_a2ext(c_s, s1, c_retracted)),
% 11.54/11.74 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 11.54/11.74 tff(4439,plain,
% 11.54/11.74 (m_state_v_a2ext(c_s, s1, c_retracted)),
% 11.54/11.74 inference(unit_resolution,[status(thm)],[4438, 4432, 4412])).
% 11.54/11.74 tff(4440,plain,
% 11.54/11.74 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)))),
% 11.54/11.74 inference(bind,[status(th)],[])).
% 11.54/11.74 tff(4441,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.74 inference(quant_intro,[status(thm)],[4440])).
% 11.54/11.74 tff(4442,plain,
% 11.54/11.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.74 inference(rewrite,[status(thm)],[])).
% 11.54/11.74 tff(4443,plain,
% 11.54/11.74 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node150(J0, X) | node151(J0, X)) | node152(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_RRM(J0, X, c_clockwise))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_RRM(J0, X, c_clockwise))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A1Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), (((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | m_state_v_RRM(J0, Y, c_idle)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | m_state_v_RRM(J0, Y, c_idle))), ((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | m_state_v_RRM(J0, Y, c_idle)))), (((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))), (((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))))),
% 11.54/11.75 inference(bind,[status(th)],[])).
% 11.54/11.75 tff(4444,plain,
% 11.54/11.75 (![Y: $i, X: $i, J0: $i] : ((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.75 inference(quant_intro,[status(thm)],[4443])).
% 11.54/11.75 tff(4445,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_clockwise))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_184')).
% 11.54/11.75 tff(4446,plain,
% 11.54/11.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 11.54/11.75 tff(4447,plain,
% 11.54/11.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4446, 4442])).
% 11.54/11.75 tff(4448,plain,(
% 11.54/11.75 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.75 inference(skolemize,[status(sab)],[4447])).
% 11.54/11.75 tff(4449,plain,
% 11.54/11.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4448, 4441])).
% 11.54/11.75 tff(4450,plain,
% 11.54/11.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)))),
% 11.54/11.75 inference(rewrite,[status(thm)],[])).
% 11.54/11.75 tff(4451,plain,
% 11.54/11.75 (((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)) | node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~node159(c_s, s1, s2)) | m_state_v_RRM(c_s, s2, c_idle)) <=> (node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)))),
% 11.54/11.75 inference(rewrite,[status(thm)],[])).
% 11.54/11.75 tff(4452,plain,
% 11.54/11.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)) | node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~node159(c_s, s1, s2)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted))))),
% 11.54/11.75 inference(monotonicity,[status(thm)],[4451])).
% 11.54/11.75 tff(4453,plain,
% 11.54/11.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)) | node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~node159(c_s, s1, s2)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)))),
% 11.54/11.75 inference(transitivity,[status(thm)],[4452, 4450])).
% 11.54/11.75 tff(4454,plain,
% 11.54/11.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)) | node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~node159(c_s, s1, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.75 inference(quant_inst,[status(thm)],[])).
% 11.54/11.75 tff(4455,plain,
% 11.54/11.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_clockwise)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~node159(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 11.54/11.75 tff(4456,plain,
% 11.54/11.75 (node151(c_s, s1) | node150(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node156(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | node152(c_s, s1) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4455, 4449, 2542, 1661, 1657])).
% 11.54/11.75 tff(4457,plain,
% 11.54/11.75 (node150(c_s, s1) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4456, 1450, 1653, 1646, 1642, 1638, 1634, 2341])).
% 11.54/11.75 tff(4458,plain,
% 11.54/11.75 ((~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4457, 2365, 1630, 2028])).
% 11.54/11.75 tff(4459,plain,
% 11.54/11.75 ($false),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4458, 4439, 4425, 4414, 4413])).
% 11.54/11.75 tff(4460,plain,((~node157(c_s, s1)) | m_state_v_RRM(c_s, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.75 tff(4461,plain,
% 11.54/11.75 (~node157(c_s, s1)),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4460, 4379])).
% 11.54/11.75 tff(4462,plain,
% 11.54/11.75 (node158(c_s, s1, s2)),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[1670, 4461])).
% 11.54/11.75 tff(4463,plain,
% 11.54/11.75 (~m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[3888, 1393, 4333, 4462])).
% 11.54/11.75 tff(4464,assumption,(~m_state_v_RRM(c_s, s2, c_counterclock)), introduced(assumption)).
% 11.54/11.75 tff(4465,assumption,(~m_state_v_RRM(c_s, s2, c_clockwise)), introduced(assumption)).
% 11.54/11.75 tff(4466,plain,
% 11.54/11.75 (^[I0: $i, X: $i] : refl((m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise)) <=> (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise)))),
% 11.54/11.75 inference(bind,[status(th)],[])).
% 11.54/11.75 tff(4467,plain,
% 11.54/11.75 (![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(quant_intro,[status(thm)],[4466])).
% 11.54/11.75 tff(4468,plain,
% 11.54/11.75 (![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(rewrite,[status(thm)],[])).
% 11.54/11.75 tff(4469,plain,
% 11.54/11.75 (^[I0: $i, X: $i] : rewrite(((m_state_v_RRM(I0, X, c_clockwise) | m_state_v_RRM(I0, X, c_counterclock)) | m_state_v_RRM(I0, X, c_idle)) <=> (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise)))),
% 11.54/11.75 inference(bind,[status(th)],[])).
% 11.54/11.75 tff(4470,plain,
% 11.54/11.75 (![I0: $i, X: $i] : ((m_state_v_RRM(I0, X, c_clockwise) | m_state_v_RRM(I0, X, c_counterclock)) | m_state_v_RRM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(quant_intro,[status(thm)],[4469])).
% 11.54/11.75 tff(4471,axiom,(![I0: $i, X: $i] : ((m_state_v_RRM(I0, X, c_clockwise) | m_state_v_RRM(I0, X, c_counterclock)) | m_state_v_RRM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_31')).
% 11.54/11.75 tff(4472,plain,
% 11.54/11.75 (![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 11.54/11.75 tff(4473,plain,
% 11.54/11.75 (![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4472, 4468])).
% 11.54/11.75 tff(4474,plain,(
% 11.54/11.75 ![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(skolemize,[status(sab)],[4473])).
% 11.54/11.75 tff(4475,plain,
% 11.54/11.75 (![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4474, 4467])).
% 11.54/11.75 tff(4476,plain,
% 11.54/11.75 (((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock))) <=> ((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.75 inference(rewrite,[status(thm)],[])).
% 11.54/11.75 tff(4477,plain,
% 11.54/11.75 ((m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_counterclock) | m_state_v_RRM(c_s, s2, c_clockwise)) <=> (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.75 inference(rewrite,[status(thm)],[])).
% 11.54/11.75 tff(4478,plain,
% 11.54/11.75 (((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_counterclock) | m_state_v_RRM(c_s, s2, c_clockwise))) <=> ((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.54/11.75 inference(monotonicity,[status(thm)],[4477])).
% 11.54/11.75 tff(4479,plain,
% 11.54/11.75 (((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_counterclock) | m_state_v_RRM(c_s, s2, c_clockwise))) <=> ((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.75 inference(transitivity,[status(thm)],[4478, 4476])).
% 11.54/11.75 tff(4480,plain,
% 11.54/11.75 ((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | (m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_counterclock) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.54/11.75 inference(quant_inst,[status(thm)],[])).
% 11.54/11.75 tff(4481,plain,
% 11.54/11.75 ((~![I0: $i, X: $i] : (m_state_v_RRM(I0, X, c_idle) | m_state_v_RRM(I0, X, c_counterclock) | m_state_v_RRM(I0, X, c_clockwise))) | m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.54/11.75 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 11.54/11.75 tff(4482,plain,
% 11.54/11.75 ($false),
% 11.54/11.75 inference(unit_resolution,[status(thm)],[4481, 4475, 4414, 4465, 4464])).
% 11.54/11.75 tff(4483,plain,(m_state_v_RRM(c_s, s2, c_clockwise) | m_state_v_RRM(c_s, s2, c_idle) | m_state_v_RRM(c_s, s2, c_counterclock)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.76 tff(4484,plain,
% 11.54/11.76 (m_state_v_RRM(c_s, s2, c_clockwise)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4483, 4463, 4379])).
% 11.54/11.76 tff(4485,plain,
% 11.54/11.76 (m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[3699, 4484, 4462])).
% 11.54/11.76 tff(4486,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_idle)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4487,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_idle)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4488,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_idle))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 11.54/11.76 tff(4489,plain,
% 11.54/11.76 (~m_state_v_RRM(c_s, s1, c_idle)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4488, 1271, 4485])).
% 11.54/11.76 tff(4490,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s1)) | m_state_v_RRM(c_s, s1, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s1)) | m_state_v_RRM(c_s, s1, c_idle))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4491,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s1)) | m_state_v_RRM(c_s, s1, c_idle))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4492,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s1)) | m_state_v_RRM(c_s, s1, c_idle)),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 11.54/11.76 tff(4493,plain,
% 11.54/11.76 (~node43(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4492, 4389, 4489])).
% 11.54/11.76 tff(4494,plain,
% 11.54/11.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4495,plain,
% 11.54/11.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4496,plain,
% 11.54/11.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2)),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 11.54/11.76 tff(4497,plain,
% 11.54/11.76 (node48(c_s, s1, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4496, 28, 3778, 226])).
% 11.54/11.76 tff(4498,plain,
% 11.54/11.76 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X))))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4499,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4498])).
% 11.54/11.76 tff(4500,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4501,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_80')).
% 11.54/11.76 tff(4502,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 11.54/11.76 tff(4503,plain,(
% 11.54/11.76 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))),
% 11.54/11.76 inference(skolemize,[status(sab)],[4502])).
% 11.54/11.76 tff(4504,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4503, 4499])).
% 11.54/11.76 tff(4505,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node44(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node44(c_s, s1)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4506,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node44(c_s, s1)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4507,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node44(c_s, s1))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 11.54/11.76 tff(4508,plain,
% 11.54/11.76 (~node44(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4507, 4504, 347])).
% 11.54/11.76 tff(4509,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node45(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node45(c_s, s1)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4510,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node45(c_s, s1)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4511,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node45(c_s, s1))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 11.54/11.76 tff(4512,plain,
% 11.54/11.76 (~node45(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4511, 4362, 366])).
% 11.54/11.76 tff(4513,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node46(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node46(c_s, s1)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4514,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node46(c_s, s1)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4515,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node46(c_s, s1))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4514, 4513])).
% 11.54/11.76 tff(4516,plain,
% 11.54/11.76 (~node46(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4515, 4350, 1424])).
% 11.54/11.76 tff(4517,plain,
% 11.54/11.76 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4518,plain,
% 11.54/11.76 ((node43(c_s, s1) | node44(c_s, s1) | node45(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2))) <=> (node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4519,plain,
% 11.54/11.76 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s1) | node44(c_s, s1) | node45(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2))))),
% 11.54/11.76 inference(monotonicity,[status(thm)],[4518])).
% 11.54/11.76 tff(4520,plain,
% 11.54/11.76 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s1) | node44(c_s, s1) | node45(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))),
% 11.54/11.76 inference(transitivity,[status(thm)],[4519, 4517])).
% 11.54/11.76 tff(4521,plain,
% 11.54/11.76 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s1) | node44(c_s, s1) | node45(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4522,plain,
% 11.54/11.76 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s1) | node45(c_s, s1) | node43(c_s, s1) | node46(c_s, s1) | node47(c_s, s1, s2) | (~node48(c_s, s1, s2))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 11.54/11.76 tff(4523,plain,
% 11.54/11.76 (node43(c_s, s1) | node47(c_s, s1, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4522, 4403, 4516, 4512, 4508, 4497])).
% 11.54/11.76 tff(4524,plain,
% 11.54/11.76 (node47(c_s, s1, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4523, 4493])).
% 11.54/11.76 tff(4525,plain,
% 11.54/11.76 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)) <=> ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4526,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4525])).
% 11.54/11.76 tff(4527,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4528,plain,
% 11.54/11.76 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_angle_status(J0, Y, V) | (~m_state_v_angle_status(J0, X, V))) <=> ((~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))), (((m_state_v_angle_status(J0, Y, V) | (~m_state_v_angle_status(J0, X, V))) | (~node47(J0, X, Y))) <=> (((~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)) | (~node47(J0, X, Y))))), rewrite((((~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V)) | (~node47(J0, X, Y))) <=> ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))), (((m_state_v_angle_status(J0, Y, V) | (~m_state_v_angle_status(J0, X, V))) | (~node47(J0, X, Y))) <=> ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4529,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle_status(J0, Y, V) | (~m_state_v_angle_status(J0, X, V))) | (~node47(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4528])).
% 11.54/11.76 tff(4530,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle_status(J0, Y, V) | (~m_state_v_angle_status(J0, X, V))) | (~node47(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_86')).
% 11.54/11.76 tff(4531,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 11.54/11.76 tff(4532,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4531, 4527])).
% 11.54/11.76 tff(4533,plain,(
% 11.54/11.76 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(skolemize,[status(sab)],[4532])).
% 11.54/11.76 tff(4534,plain,
% 11.54/11.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4533, 4526])).
% 11.54/11.76 tff(4535,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4536,plain,
% 11.54/11.76 (((~node47(c_s, s1, s2)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) <=> (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4537,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s1, s2)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2))))),
% 11.54/11.76 inference(monotonicity,[status(thm)],[4536])).
% 11.54/11.76 tff(4538,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s1, s2)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2)))),
% 11.54/11.76 inference(transitivity,[status(thm)],[4537, 4535])).
% 11.54/11.76 tff(4539,plain,
% 11.54/11.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s1, s2)) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4540,plain,
% 11.54/11.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s1, c_arm1stoppedattable)) | (~node47(c_s, s1, s2))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 11.54/11.76 tff(4541,plain,
% 11.54/11.76 (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4540, 4534, 3799, 4524])).
% 11.54/11.76 tff(4542,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4543,plain,
% 11.54/11.76 (((~node47(c_s, s2, s3)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) <=> (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4544,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s2, s3)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3))))),
% 11.54/11.76 inference(monotonicity,[status(thm)],[4543])).
% 11.54/11.76 tff(4545,plain,
% 11.54/11.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s2, s3)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3)))),
% 11.54/11.76 inference(transitivity,[status(thm)],[4544, 4542])).
% 11.54/11.76 tff(4546,plain,
% 11.54/11.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | ((~node47(c_s, s2, s3)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4547,plain,
% 11.54/11.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | (~m_state_v_angle_status(J0, X, V)) | m_state_v_angle_status(J0, Y, V))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~node47(c_s, s2, s3))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 11.54/11.76 tff(4548,plain,
% 11.54/11.76 ($false),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4547, 4534, 4541, 4332, 4411])).
% 11.54/11.76 tff(4549,plain,(m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | m_state_v_RRM(c_s, s1, c_counterclock) | node44(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.76 tff(4550,plain,
% 11.54/11.76 (node44(c_s, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4549, 4128, 4332])).
% 11.54/11.76 tff(4551,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~node44(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node44(c_s, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4552,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~node44(c_s, s2)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4553,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node44(c_s, s2))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 11.54/11.76 tff(4554,plain,
% 11.54/11.76 ($false),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4553, 4504, 4122, 4550])).
% 11.54/11.76 tff(4555,plain,(m_state_v_angle(c_s, s2, c_arm2topress) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.76 tff(4556,plain,
% 11.54/11.76 (m_state_v_angle(c_s, s2, c_arm2topress)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4555, 4332])).
% 11.54/11.76 tff(4557,plain,
% 11.54/11.76 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4558,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4557])).
% 11.54/11.76 tff(4559,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4560,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_56')).
% 11.54/11.76 tff(4561,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 11.54/11.76 tff(4562,plain,(
% 11.54/11.76 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.54/11.76 inference(skolemize,[status(sab)],[4561])).
% 11.54/11.76 tff(4563,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4562, 4558])).
% 11.54/11.76 tff(4564,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4565,plain,
% 11.54/11.76 (((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4566,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress))))),
% 11.54/11.76 inference(monotonicity,[status(thm)],[4565])).
% 11.54/11.76 tff(4567,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.54/11.76 inference(transitivity,[status(thm)],[4566, 4564])).
% 11.54/11.76 tff(4568,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s2, c_arm2topress)) | (~m_state_v_angle(c_s, s2, c_arm1topress)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4569,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~m_state_v_angle(c_s, s2, c_arm2topress))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 11.54/11.76 tff(4570,plain,
% 11.54/11.76 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4569, 4563, 4556])).
% 11.54/11.76 tff(4571,plain,
% 11.54/11.76 (~node46(c_s, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4353, 4350, 4570])).
% 11.54/11.76 tff(4572,plain,
% 11.54/11.76 (~m_state_v_angle(c_s, s2, c_arm2todepbelt)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[3767, 3761, 4556])).
% 11.54/11.76 tff(4573,plain,
% 11.54/11.76 (~node45(c_s, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4365, 4362, 4572])).
% 11.54/11.76 tff(4574,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4575,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4576,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_angle(c_s, s2, c_arm2topress))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 11.54/11.76 tff(4577,plain,
% 11.54/11.76 (~m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4576, 72, 4556])).
% 11.54/11.76 tff(4578,plain,
% 11.54/11.76 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X))))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4579,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4578])).
% 11.54/11.76 tff(4580,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4581,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_78')).
% 11.54/11.76 tff(4582,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 11.54/11.76 tff(4583,plain,(
% 11.54/11.76 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))),
% 11.54/11.76 inference(skolemize,[status(sab)],[4582])).
% 11.54/11.76 tff(4584,plain,
% 11.54/11.76 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4583, 4579])).
% 11.54/11.76 tff(4585,plain,
% 11.54/11.76 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node43(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node43(c_s, s2)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4586,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node43(c_s, s2)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4587,plain,
% 11.54/11.76 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node43(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node43(c_s, s2))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 11.54/11.76 tff(4588,plain,
% 11.54/11.76 (~node43(c_s, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4587, 4584, 4577])).
% 11.54/11.76 tff(4589,plain,
% 11.54/11.76 (~node41(c_s, s1, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[1457, 4577])).
% 11.54/11.76 tff(4590,plain,
% 11.54/11.76 (node37(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[1432, 4589])).
% 11.54/11.76 tff(4591,plain,
% 11.54/11.76 (m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[1404, 4590])).
% 11.54/11.76 tff(4592,plain,
% 11.54/11.76 (^[I0: $i, X: $i] : refl(((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock))) <=> ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock))))),
% 11.54/11.76 inference(bind,[status(th)],[])).
% 11.54/11.76 tff(4593,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))),
% 11.54/11.76 inference(quant_intro,[status(thm)],[4592])).
% 11.54/11.76 tff(4594,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4595,axiom,(![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_32')).
% 11.54/11.76 tff(4596,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 11.54/11.76 tff(4597,plain,(
% 11.54/11.76 ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))),
% 11.54/11.76 inference(skolemize,[status(sab)],[4596])).
% 11.54/11.76 tff(4598,plain,
% 11.54/11.76 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4597, 4593])).
% 11.54/11.76 tff(4599,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))) | ((~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4600,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))) | ((~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_counterclock)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4601,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_counterclock)))) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 11.54/11.76 tff(4602,plain,
% 11.54/11.76 (~m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[4601, 4598, 4591])).
% 11.54/11.76 tff(4603,plain,
% 11.54/11.76 (~node157(c_s, s1)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[1470, 4602])).
% 11.54/11.76 tff(4604,plain,
% 11.54/11.76 (node158(c_s, s1, s2)),
% 11.54/11.76 inference(unit_resolution,[status(thm)],[1670, 4603])).
% 11.54/11.76 tff(4605,plain,
% 11.54/11.76 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_RRM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_RRM(c_s, s1, c_idle)))),
% 11.54/11.76 inference(rewrite,[status(thm)],[])).
% 11.54/11.76 tff(4606,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_RRM(c_s, s1, c_idle)))),
% 11.54/11.76 inference(quant_inst,[status(thm)],[])).
% 11.54/11.76 tff(4607,plain,
% 11.54/11.76 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~m_state_v_RRM(c_s, s1, c_idle))),
% 11.54/11.76 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 11.54/11.76 tff(4608,plain,
% 11.54/11.76 (~m_state_v_RRM(c_s, s1, c_idle)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4607, 251, 4591])).
% 11.54/11.77 tff(4609,plain,
% 11.54/11.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4610,plain,
% 11.54/11.77 (((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle))) <=> (m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4611,plain,
% 11.54/11.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle))))),
% 11.54/11.77 inference(monotonicity,[status(thm)],[4610])).
% 11.54/11.77 tff(4612,plain,
% 11.54/11.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.54/11.77 inference(transitivity,[status(thm)],[4611, 4609])).
% 11.54/11.77 tff(4613,plain,
% 11.54/11.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4614,plain,
% 11.54/11.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 11.54/11.77 tff(4615,plain,
% 11.54/11.77 (~m_state_v_RRM(c_s, s2, c_idle)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4614, 1393, 4608, 4604])).
% 11.54/11.77 tff(4616,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : refl(((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4617,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4616])).
% 11.54/11.77 tff(4618,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4619,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_idle) | (~node44(J0, X))) <=> ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4620,plain,
% 11.54/11.77 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node44(J0, X))) <=> ![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4619])).
% 11.54/11.77 tff(4621,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node44(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_81')).
% 11.54/11.77 tff(4622,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 11.54/11.77 tff(4623,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4622, 4618])).
% 11.54/11.77 tff(4624,plain,(
% 11.54/11.77 ![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4623])).
% 11.54/11.77 tff(4625,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4624, 4617])).
% 11.54/11.77 tff(4626,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node44(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node44(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4627,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node44(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4628,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node44(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node44(c_s, s2)) | m_state_v_RRM(c_s, s2, c_idle)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4627, 4626])).
% 11.54/11.77 tff(4629,plain,
% 11.54/11.77 (~node44(c_s, s2)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4628, 4625, 4615])).
% 11.54/11.77 tff(4630,plain,
% 11.54/11.77 (node47(c_s, s2, s3)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4410, 4629, 4588, 4573, 4571])).
% 11.54/11.77 tff(4631,plain,
% 11.54/11.77 (~node43(c_s, s1)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4492, 4389, 4608])).
% 11.54/11.77 tff(4632,plain,
% 11.54/11.77 (node47(c_s, s1, s2)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4523, 4631])).
% 11.54/11.77 tff(4633,plain,
% 11.54/11.77 (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4540, 4534, 3799, 4632])).
% 11.54/11.77 tff(4634,plain,
% 11.54/11.77 ($false),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4547, 4534, 4633, 4332, 4630])).
% 11.54/11.77 tff(4635,plain,(m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)), inference(lemma,lemma(discharge,[]))).
% 11.54/11.77 tff(4636,plain,
% 11.54/11.77 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4637,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4636])).
% 11.54/11.77 tff(4638,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4639,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_61')).
% 11.54/11.77 tff(4640,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 11.54/11.77 tff(4641,plain,(
% 11.54/11.77 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4640])).
% 11.54/11.77 tff(4642,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4641, 4637])).
% 11.54/11.77 tff(4643,plain,
% 11.54/11.77 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4644,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4645,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 11.54/11.77 tff(4646,plain,
% 11.54/11.77 (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4645, 4642, 4635])).
% 11.54/11.77 tff(4647,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : refl(((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4648,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4647])).
% 11.54/11.77 tff(4649,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4650,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X))) <=> ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4651,plain,
% 11.54/11.77 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4650])).
% 11.54/11.77 tff(4652,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_63')).
% 11.54/11.77 tff(4653,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 11.54/11.77 tff(4654,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4653, 4649])).
% 11.54/11.77 tff(4655,plain,(
% 11.54/11.77 ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4654])).
% 11.54/11.77 tff(4656,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4655, 4648])).
% 11.54/11.77 tff(4657,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4658,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4659,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 11.54/11.77 tff(4660,plain,
% 11.54/11.77 (~node38(c_s, s3)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4659, 4656, 4646])).
% 11.54/11.77 tff(4661,plain,
% 11.54/11.77 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4662,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4661])).
% 11.54/11.77 tff(4663,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4664,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_64')).
% 11.54/11.77 tff(4665,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 11.54/11.77 tff(4666,plain,(
% 11.54/11.77 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4665])).
% 11.54/11.77 tff(4667,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4666, 4662])).
% 11.54/11.77 tff(4668,plain,
% 11.54/11.77 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4669,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4670,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4669, 4668])).
% 11.54/11.77 tff(4671,plain,
% 11.54/11.77 (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4670, 4667, 4635])).
% 11.54/11.77 tff(4672,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : refl(((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4673,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4672])).
% 11.54/11.77 tff(4674,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4675,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X))) <=> ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4676,plain,
% 11.54/11.77 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4675])).
% 11.54/11.77 tff(4677,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_69')).
% 11.54/11.77 tff(4678,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4677, 4676])).
% 11.54/11.77 tff(4679,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4678, 4674])).
% 11.54/11.77 tff(4680,plain,(
% 11.54/11.77 ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4679])).
% 11.54/11.77 tff(4681,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4680, 4673])).
% 11.54/11.77 tff(4682,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4683,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4684,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 11.54/11.77 tff(4685,plain,
% 11.54/11.77 (~node40(c_s, s3)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4684, 4681, 4671])).
% 11.54/11.77 tff(4686,plain,
% 11.54/11.77 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4687,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4686])).
% 11.54/11.77 tff(4688,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4689,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_63')).
% 11.54/11.77 tff(4690,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4689, 4688])).
% 11.54/11.77 tff(4691,plain,(
% 11.54/11.77 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4690])).
% 11.54/11.77 tff(4692,plain,
% 11.54/11.77 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4691, 4687])).
% 11.54/11.77 tff(4693,plain,
% 11.54/11.77 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4694,plain,
% 11.54/11.77 (((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4695,plain,
% 11.54/11.77 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))))),
% 11.54/11.77 inference(monotonicity,[status(thm)],[4694])).
% 11.54/11.77 tff(4696,plain,
% 11.54/11.77 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)))),
% 11.54/11.77 inference(transitivity,[status(thm)],[4695, 4693])).
% 11.54/11.77 tff(4697,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4698,plain,
% 11.54/11.77 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 11.54/11.77 tff(4699,plain,
% 11.54/11.77 (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4698, 4692, 4635])).
% 11.54/11.77 tff(4700,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : refl(((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4701,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4700])).
% 11.54/11.77 tff(4702,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4703,plain,
% 11.54/11.77 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X))) <=> ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)))),
% 11.54/11.77 inference(bind,[status(th)],[])).
% 11.54/11.77 tff(4704,plain,
% 11.54/11.77 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(quant_intro,[status(thm)],[4703])).
% 11.54/11.77 tff(4705,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_66')).
% 11.54/11.77 tff(4706,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 11.54/11.77 tff(4707,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4706, 4702])).
% 11.54/11.77 tff(4708,plain,(
% 11.54/11.77 ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(skolemize,[status(sab)],[4707])).
% 11.54/11.77 tff(4709,plain,
% 11.54/11.77 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4708, 4701])).
% 11.54/11.77 tff(4710,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4711,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4712,plain,
% 11.54/11.77 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 11.54/11.77 tff(4713,plain,
% 11.54/11.77 (~node39(c_s, s3)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4712, 4709, 4699])).
% 11.54/11.77 tff(4714,plain,
% 11.54/11.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4715,plain,
% 11.54/11.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4716,plain,
% 11.54/11.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 11.54/11.77 tff(4717,plain,
% 11.54/11.77 (node42(c_s, s3, s4)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4716, 28, 25, 1179])).
% 11.54/11.77 tff(4718,plain,
% 11.54/11.77 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4719,plain,
% 11.54/11.77 ((node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4))) <=> (node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4720,plain,
% 11.54/11.77 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4)))),
% 11.54/11.77 inference(monotonicity,[status(thm)],[4719])).
% 11.54/11.77 tff(4721,plain,
% 11.54/11.77 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4))),
% 11.54/11.77 inference(transitivity,[status(thm)],[4720, 4718])).
% 11.54/11.77 tff(4722,plain,
% 11.54/11.77 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4723,plain,
% 11.54/11.77 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | (~node42(c_s, s3, s4)) | node41(c_s, s3, s4)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 11.54/11.77 tff(4724,plain,
% 11.54/11.77 (node38(c_s, s3) | node40(c_s, s3) | node39(c_s, s3) | node37(c_s, s3) | node41(c_s, s3, s4)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4723, 323, 4717])).
% 11.54/11.77 tff(4725,plain,
% 11.54/11.77 (node37(c_s, s3) | node41(c_s, s3, s4)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4724, 4713, 4685, 4660])).
% 11.54/11.77 tff(4726,plain,
% 11.54/11.77 (node41(c_s, s3, s4)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4725, 4331])).
% 11.54/11.77 tff(4727,plain,
% 11.54/11.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4728,plain,
% 11.54/11.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))),
% 11.54/11.77 inference(quant_inst,[status(thm)],[])).
% 11.54/11.77 tff(4729,plain,
% 11.54/11.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3)),
% 11.54/11.77 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 11.54/11.77 tff(4730,plain,
% 11.54/11.77 (node42(c_s, s2, s3)),
% 11.54/11.77 inference(unit_resolution,[status(thm)],[4729, 28, 25, 794])).
% 11.54/11.77 tff(4731,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | ((~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4732,plain,
% 11.54/11.77 ((m_state_v_RRM(c_s, s2, c_counterclock) | (~node38(c_s, s2))) <=> ((~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.77 inference(rewrite,[status(thm)],[])).
% 11.54/11.77 tff(4733,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s2, c_counterclock) | (~node38(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | ((~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.54/11.77 inference(monotonicity,[status(thm)],[4732])).
% 11.54/11.77 tff(4734,plain,
% 11.54/11.77 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s2, c_counterclock) | (~node38(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.78 inference(transitivity,[status(thm)],[4733, 4731])).
% 11.54/11.78 tff(4735,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s2, c_counterclock) | (~node38(c_s, s2)))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4736,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (~node38(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 11.54/11.78 tff(4737,plain,
% 11.54/11.78 (~node38(c_s, s2)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4736, 4301, 3889])).
% 11.54/11.78 tff(4738,plain,
% 11.54/11.78 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4739,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4740,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4739, 4738])).
% 11.54/11.78 tff(4741,plain,
% 11.54/11.78 (~node37(c_s, s2)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4740, 265, 3889])).
% 11.54/11.78 tff(4742,plain,
% 11.54/11.78 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4743,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4744,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s2)) | m_state_v_RRM(c_s, s2, c_clockwise)),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 11.54/11.78 tff(4745,plain,
% 11.54/11.78 (~node40(c_s, s2)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4744, 4283, 3700])).
% 11.54/11.78 tff(4746,plain,
% 11.54/11.78 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node39(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node39(c_s, s2)))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4747,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node39(c_s, s2)))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4748,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~node39(c_s, s2))),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 11.54/11.78 tff(4749,plain,
% 11.54/11.78 (~node39(c_s, s2)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4748, 287, 3821])).
% 11.54/11.78 tff(4750,plain,
% 11.54/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4751,plain,
% 11.54/11.78 ((node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3))) <=> (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4752,plain,
% 11.54/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3)))),
% 11.54/11.78 inference(monotonicity,[status(thm)],[4751])).
% 11.54/11.78 tff(4753,plain,
% 11.54/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.54/11.78 inference(transitivity,[status(thm)],[4752, 4750])).
% 11.54/11.78 tff(4754,plain,
% 11.54/11.78 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4755,plain,
% 11.54/11.78 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3)),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 11.54/11.78 tff(4756,plain,
% 11.54/11.78 (node41(c_s, s2, s3)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4755, 323, 4749, 4745, 4741, 4737, 4730])).
% 11.54/11.78 tff(4757,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3)))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4758,plain,
% 11.54/11.78 (((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable)) <=> ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3)))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4759,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3))))),
% 11.54/11.78 inference(monotonicity,[status(thm)],[4758])).
% 11.54/11.78 tff(4760,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3)))),
% 11.54/11.78 inference(transitivity,[status(thm)],[4759, 4757])).
% 11.54/11.78 tff(4761,plain,
% 11.54/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4762,plain,
% 11.54/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s2, s3))),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 11.54/11.78 tff(4763,plain,
% 11.54/11.78 (m_state_v_angle(c_s, s3, c_arm1totable)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4762, 1443, 1458, 4756])).
% 11.54/11.78 tff(4764,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4)))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4765,plain,
% 11.54/11.78 (((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable)) <=> (m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4)))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4766,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4))))),
% 11.54/11.78 inference(monotonicity,[status(thm)],[4765])).
% 11.54/11.78 tff(4767,plain,
% 11.54/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4)))),
% 11.54/11.78 inference(transitivity,[status(thm)],[4766, 4764])).
% 11.54/11.78 tff(4768,plain,
% 11.54/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4769,plain,
% 11.54/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node41(c_s, s3, s4))),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 11.54/11.78 tff(4770,plain,
% 11.54/11.78 (m_state_v_angle(c_s, s4, c_arm1totable)),
% 11.54/11.78 inference(unit_resolution,[status(thm)],[4769, 1443, 4763, 4726])).
% 11.54/11.78 tff(4771,plain,
% 11.54/11.78 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))),
% 11.54/11.78 inference(rewrite,[status(thm)],[])).
% 11.54/11.78 tff(4772,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))),
% 11.54/11.78 inference(quant_inst,[status(thm)],[])).
% 11.54/11.78 tff(4773,plain,
% 11.54/11.78 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock)),
% 11.54/11.78 inference(modus_ponens,[status(thm)],[4772, 4771])).
% 11.62/11.78 tff(4774,plain,
% 11.62/11.78 (~node37(c_s, s4)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4773, 265, 3991])).
% 11.62/11.78 tff(4775,plain,
% 11.62/11.78 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4776,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))),
% 11.62/11.78 inference(quant_inst,[status(thm)],[])).
% 11.62/11.78 tff(4777,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4))),
% 11.62/11.78 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 11.62/11.78 tff(4778,plain,
% 11.62/11.78 (~node39(c_s, s4)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4777, 4316, 3991])).
% 11.62/11.78 tff(4779,plain,
% 11.62/11.78 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4780,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))),
% 11.62/11.78 inference(quant_inst,[status(thm)],[])).
% 11.62/11.78 tff(4781,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4))),
% 11.62/11.78 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 11.62/11.78 tff(4782,plain,
% 11.62/11.78 (~node38(c_s, s4)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4781, 4301, 3991])).
% 11.62/11.78 tff(4783,plain,
% 11.62/11.78 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4784,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))),
% 11.62/11.78 inference(quant_inst,[status(thm)],[])).
% 11.62/11.78 tff(4785,plain,
% 11.62/11.78 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise)),
% 11.62/11.78 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 11.62/11.78 tff(4786,plain,
% 11.62/11.78 (~node40(c_s, s4)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4785, 4283, 4002])).
% 11.62/11.78 tff(4787,plain,
% 11.62/11.78 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4788,plain,
% 11.62/11.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))),
% 11.62/11.78 inference(quant_inst,[status(thm)],[])).
% 11.62/11.78 tff(4789,plain,
% 11.62/11.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5)),
% 11.62/11.78 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 11.62/11.78 tff(4790,plain,
% 11.62/11.78 (node42(c_s, s4, s5)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4789, 28, 25, 4253])).
% 11.62/11.78 tff(4791,plain,
% 11.62/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4792,plain,
% 11.62/11.78 ((node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5))) <=> (node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4793,plain,
% 11.62/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5))))),
% 11.62/11.78 inference(monotonicity,[status(thm)],[4792])).
% 11.62/11.78 tff(4794,plain,
% 11.62/11.78 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))),
% 11.62/11.78 inference(transitivity,[status(thm)],[4793, 4791])).
% 11.62/11.78 tff(4795,plain,
% 11.62/11.78 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))),
% 11.62/11.78 inference(quant_inst,[status(thm)],[])).
% 11.62/11.78 tff(4796,plain,
% 11.62/11.78 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5))),
% 11.62/11.78 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 11.62/11.78 tff(4797,plain,
% 11.62/11.78 (node40(c_s, s4) | node38(c_s, s4) | node37(c_s, s4) | node39(c_s, s4) | node41(c_s, s4, s5)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4796, 323, 4790])).
% 11.62/11.78 tff(4798,plain,
% 11.62/11.78 (node41(c_s, s4, s5)),
% 11.62/11.78 inference(unit_resolution,[status(thm)],[4797, 4786, 4782, 4778, 4774])).
% 11.62/11.78 tff(4799,assumption,(node41(c_s, s4, s5)), introduced(assumption)).
% 11.62/11.78 tff(4800,assumption,(m_state_v_angle(c_s, s4, c_arm1totable)), introduced(assumption)).
% 11.62/11.78 tff(4801,assumption,(~m_state_v_angle(c_s, s5, c_arm1totable)), introduced(assumption)).
% 11.62/11.78 tff(4802,plain,
% 11.62/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4803,plain,
% 11.62/11.78 (((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable)) <=> (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 11.62/11.78 inference(rewrite,[status(thm)],[])).
% 11.62/11.78 tff(4804,plain,
% 11.62/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5))))),
% 11.63/11.78 inference(monotonicity,[status(thm)],[4803])).
% 11.63/11.78 tff(4805,plain,
% 11.63/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 11.63/11.78 inference(transitivity,[status(thm)],[4804, 4802])).
% 11.63/11.78 tff(4806,plain,
% 11.63/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))),
% 11.63/11.78 inference(quant_inst,[status(thm)],[])).
% 11.63/11.78 tff(4807,plain,
% 11.63/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5))),
% 11.63/11.78 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 11.63/11.78 tff(4808,plain,
% 11.63/11.78 ($false),
% 11.63/11.78 inference(unit_resolution,[status(thm)],[4807, 1443, 4801, 4800, 4799])).
% 11.63/11.78 tff(4809,plain,((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable) | (~node41(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 11.63/11.78 tff(4810,plain,
% 11.63/11.78 ((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable)),
% 11.63/11.78 inference(unit_resolution,[status(thm)],[4809, 4798])).
% 11.63/11.78 tff(4811,plain,
% 11.63/11.78 (m_state_v_angle(c_s, s5, c_arm1totable)),
% 11.63/11.78 inference(unit_resolution,[status(thm)],[4810, 4770])).
% 11.63/11.78 tff(4812,plain,
% 11.63/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 11.63/11.78 inference(rewrite,[status(thm)],[])).
% 11.63/11.78 tff(4813,plain,
% 11.63/11.78 (((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable)) <=> (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 11.63/11.78 inference(rewrite,[status(thm)],[])).
% 11.63/11.78 tff(4814,plain,
% 11.63/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6))))),
% 11.63/11.78 inference(monotonicity,[status(thm)],[4813])).
% 11.63/11.78 tff(4815,plain,
% 11.63/11.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 11.63/11.78 inference(transitivity,[status(thm)],[4814, 4812])).
% 11.63/11.78 tff(4816,plain,
% 11.63/11.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4817,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 11.63/11.79 tff(4818,plain,
% 11.63/11.79 (m_state_v_angle(c_s, s6, c_arm1totable)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4817, 1443, 4811, 4327])).
% 11.63/11.79 tff(4819,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4820,plain,
% 11.63/11.79 (((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle)) <=> (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4821,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4820])).
% 11.63/11.79 tff(4822,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4821, 4819])).
% 11.63/11.79 tff(4823,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4824,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 11.63/11.79 tff(4825,plain,
% 11.63/11.79 (m_state_v_RRM(c_s, s3, c_idle)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4824, 1681, 1695, 3882])).
% 11.63/11.79 tff(4826,assumption,(node158(c_s, s3, s4)), introduced(assumption)).
% 11.63/11.79 tff(4827,assumption,(~m_state_v_RRM(c_s, s4, c_idle)), introduced(assumption)).
% 11.63/11.79 tff(4828,assumption,(m_state_v_RRM(c_s, s3, c_idle)), introduced(assumption)).
% 11.63/11.79 tff(4829,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4830,plain,
% 11.63/11.79 (((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle)) <=> (m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4831,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4830])).
% 11.63/11.79 tff(4832,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4831, 4829])).
% 11.63/11.79 tff(4833,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4834,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s4, c_idle) | (~m_state_v_RRM(c_s, s3, c_idle)) | (~node158(c_s, s3, s4))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4833, 4832])).
% 11.63/11.79 tff(4835,plain,
% 11.63/11.79 ($false),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4834, 1681, 4828, 4827, 4826])).
% 11.63/11.79 tff(4836,plain,((~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 11.63/11.79 tff(4837,plain,
% 11.63/11.79 (m_state_v_RRM(c_s, s4, c_idle)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4836, 3983, 4825])).
% 11.63/11.79 tff(4838,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4839,plain,
% 11.63/11.79 (((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle)) <=> ((~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4840,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4839])).
% 11.63/11.79 tff(4841,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4840, 4838])).
% 11.63/11.79 tff(4842,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4843,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle) | (~node158(c_s, s4, s5))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4842, 4841])).
% 11.63/11.79 tff(4844,plain,
% 11.63/11.79 (m_state_v_RRM(c_s, s5, c_idle)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4843, 1681, 4837, 4266])).
% 11.63/11.79 tff(4845,plain,
% 11.63/11.79 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4846,plain,
% 11.63/11.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4847,plain,
% 11.63/11.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6)),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 11.63/11.79 tff(4848,plain,
% 11.63/11.79 (node48(c_s, s5, s6)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4847, 28, 3778, 15])).
% 11.63/11.79 tff(4849,plain,
% 11.63/11.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4850,plain,
% 11.63/11.79 (((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle))) <=> (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4851,plain,
% 11.63/11.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4850])).
% 11.63/11.79 tff(4852,plain,
% 11.63/11.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4851, 4849])).
% 11.63/11.79 tff(4853,plain,
% 11.63/11.79 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4854,plain,
% 11.63/11.79 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 11.63/11.79 tff(4855,plain,
% 11.63/11.79 (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~m_state_v_RRM(c_s, s5, c_idle))),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4854, 3792, 4848])).
% 11.63/11.79 tff(4856,plain,
% 11.63/11.79 (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s5, c_arm1totable))),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4855, 4844])).
% 11.63/11.79 tff(4857,plain,
% 11.63/11.79 (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4856, 4811])).
% 11.63/11.79 tff(4858,plain,
% 11.63/11.79 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4859,plain,
% 11.63/11.79 (((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4860,plain,
% 11.63/11.79 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4859])).
% 11.63/11.79 tff(4861,plain,
% 11.63/11.79 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4860, 4858])).
% 11.63/11.79 tff(4862,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4863,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 11.63/11.79 tff(4864,plain,
% 11.63/11.79 (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4863, 4692, 4857])).
% 11.63/11.79 tff(4865,plain,
% 11.63/11.79 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4866,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4867,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 11.63/11.79 tff(4868,plain,
% 11.63/11.79 (~node39(c_s, s6)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4867, 4709, 4864])).
% 11.63/11.79 tff(4869,plain,
% 11.63/11.79 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4870,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4871,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 11.63/11.79 tff(4872,plain,
% 11.63/11.79 (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4871, 4642, 4857])).
% 11.63/11.79 tff(4873,plain,
% 11.63/11.79 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4874,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4875,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 11.63/11.79 tff(4876,plain,
% 11.63/11.79 (~node38(c_s, s6)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4875, 4656, 4872])).
% 11.63/11.79 tff(4877,plain,
% 11.63/11.79 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4878,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4879,plain,
% 11.63/11.79 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 11.63/11.79 tff(4880,plain,
% 11.63/11.79 (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4879, 4667, 4857])).
% 11.63/11.79 tff(4881,plain,
% 11.63/11.79 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4882,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4883,plain,
% 11.63/11.79 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 11.63/11.79 tff(4884,plain,
% 11.63/11.79 (~node40(c_s, s6)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4883, 4681, 4880])).
% 11.63/11.79 tff(4885,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4886,plain,
% 11.63/11.79 (((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend)) <=> ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4887,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4))))),
% 11.63/11.79 inference(monotonicity,[status(thm)],[4886])).
% 11.63/11.79 tff(4888,plain,
% 11.63/11.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 11.63/11.79 inference(transitivity,[status(thm)],[4887, 4885])).
% 11.63/11.79 tff(4889,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4890,plain,
% 11.63/11.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4))),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 11.63/11.79 tff(4891,plain,
% 11.63/11.79 (m_state_v_A1M(c_s, s4, c_extend)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4890, 2021, 2568, 3660])).
% 11.63/11.79 tff(4892,plain,
% 11.63/11.79 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4893,plain,
% 11.63/11.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))),
% 11.63/11.79 inference(quant_inst,[status(thm)],[])).
% 11.63/11.79 tff(4894,plain,
% 11.63/11.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5)),
% 11.63/11.79 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 11.63/11.79 tff(4895,plain,
% 11.63/11.79 (node32(c_s, s4, s5)),
% 11.63/11.79 inference(unit_resolution,[status(thm)],[4894, 28, 825, 4253])).
% 11.63/11.79 tff(4896,plain,
% 11.63/11.79 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))))),
% 11.63/11.79 inference(bind,[status(th)],[])).
% 11.63/11.79 tff(4897,plain,
% 11.63/11.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.79 inference(quant_intro,[status(thm)],[4896])).
% 11.63/11.79 tff(4898,plain,
% 11.63/11.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.79 inference(rewrite,[status(thm)],[])).
% 11.63/11.79 tff(4899,plain,
% 11.63/11.79 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))), (((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) | (~node32(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) | (~node32(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))), (((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))))),
% 11.63/11.79 inference(bind,[status(th)],[])).
% 11.63/11.79 tff(4900,plain,
% 11.63/11.79 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.79 inference(quant_intro,[status(thm)],[4899])).
% 11.63/11.79 tff(4901,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_42')).
% 11.63/11.80 tff(4902,plain,
% 11.63/11.80 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 11.63/11.80 tff(4903,plain,
% 11.63/11.80 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4902, 4898])).
% 11.63/11.80 tff(4904,plain,(
% 11.63/11.80 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.80 inference(skolemize,[status(sab)],[4903])).
% 11.63/11.80 tff(4905,plain,
% 11.63/11.80 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4904, 4897])).
% 11.63/11.80 tff(4906,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4907,plain,
% 11.63/11.80 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend))) <=> (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4908,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5))))),
% 11.63/11.80 inference(monotonicity,[status(thm)],[4907])).
% 11.63/11.80 tff(4909,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)))),
% 11.63/11.80 inference(transitivity,[status(thm)],[4908, 4906])).
% 11.63/11.80 tff(4910,plain,
% 11.63/11.80 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4911,plain,
% 11.63/11.80 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 11.63/11.80 tff(4912,plain,
% 11.63/11.80 (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable))),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4911, 4905, 4895])).
% 11.63/11.80 tff(4913,plain,
% 11.63/11.80 (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_angle(c_s, s4, c_arm1totable))),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4912, 4891])).
% 11.63/11.80 tff(4914,plain,
% 11.63/11.80 (m_state_v_a1ext(c_s, s5, c_ot)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4913, 4770])).
% 11.63/11.80 tff(4915,plain,
% 11.63/11.80 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4916,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4917,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 11.63/11.80 tff(4918,plain,
% 11.63/11.80 ((~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted))),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4917, 966])).
% 11.63/11.80 tff(4919,plain,
% 11.63/11.80 (~m_state_v_a1ext(c_s, s5, c_retracted)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4918, 4914])).
% 11.63/11.80 tff(4920,plain,
% 11.63/11.80 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))))),
% 11.63/11.80 inference(bind,[status(th)],[])).
% 11.63/11.80 tff(4921,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 11.63/11.80 inference(quant_intro,[status(thm)],[4920])).
% 11.63/11.80 tff(4922,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4923,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_133')).
% 11.63/11.80 tff(4924,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 11.63/11.80 tff(4925,plain,(
% 11.63/11.80 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 11.63/11.80 inference(skolemize,[status(sab)],[4924])).
% 11.63/11.80 tff(4926,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4925, 4921])).
% 11.63/11.80 tff(4927,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node150(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node150(c_s, s5)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4928,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node150(c_s, s5)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4929,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node150(c_s, s5))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 11.63/11.80 tff(4930,plain,
% 11.63/11.80 (~node150(c_s, s5)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4929, 4926, 4919])).
% 11.63/11.80 tff(4931,plain,
% 11.63/11.80 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))))),
% 11.63/11.80 inference(bind,[status(th)],[])).
% 11.63/11.80 tff(4932,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 11.63/11.80 inference(quant_intro,[status(thm)],[4931])).
% 11.63/11.80 tff(4933,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4934,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_142')).
% 11.63/11.80 tff(4935,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 11.63/11.80 tff(4936,plain,(
% 11.63/11.80 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 11.63/11.80 inference(skolemize,[status(sab)],[4935])).
% 11.63/11.80 tff(4937,plain,
% 11.63/11.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4936, 4932])).
% 11.63/11.80 tff(4938,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node153(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node153(c_s, s5)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4939,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node153(c_s, s5)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4940,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node153(c_s, s5))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 11.63/11.80 tff(4941,plain,
% 11.63/11.80 (~node153(c_s, s5)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4940, 4937, 4919])).
% 11.63/11.80 tff(4942,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4943,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4944,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 11.63/11.80 tff(4945,plain,
% 11.63/11.80 (~node138(c_s, s4)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4944, 560, 4237])).
% 11.63/11.80 tff(4946,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4947,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4948,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 11.63/11.80 tff(4949,plain,
% 11.63/11.80 (~node133(c_s, s4)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4948, 493, 1239])).
% 11.63/11.80 tff(4950,plain,
% 11.63/11.80 (m_state_v_a2ext(c_s, s3, c_retracted)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4157, 1150])).
% 11.63/11.80 tff(4951,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4952,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4953,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend)),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 11.63/11.80 tff(4954,plain,
% 11.63/11.80 (~node33(c_s, s3)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4953, 684, 1150])).
% 11.63/11.80 tff(4955,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4956,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4957,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4956, 4955])).
% 11.63/11.80 tff(4958,plain,
% 11.63/11.80 (~node34(c_s, s3)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4957, 4077, 1150])).
% 11.63/11.80 tff(4959,plain,
% 11.63/11.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4960,plain,
% 11.63/11.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4961,plain,
% 11.63/11.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4)),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 11.63/11.80 tff(4962,plain,
% 11.63/11.80 (node36(c_s, s3, s4)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4961, 28, 575, 1179])).
% 11.63/11.80 tff(4963,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4964,plain,
% 11.63/11.80 ((m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4))) <=> (m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4965,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3)))),
% 11.63/11.80 inference(monotonicity,[status(thm)],[4964])).
% 11.63/11.80 tff(4966,plain,
% 11.63/11.80 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3))),
% 11.63/11.80 inference(transitivity,[status(thm)],[4965, 4963])).
% 11.63/11.80 tff(4967,plain,
% 11.63/11.80 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4968,plain,
% 11.63/11.80 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)) | node33(c_s, s3) | node34(c_s, s3)),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4967, 4966])).
% 11.63/11.80 tff(4969,plain,
% 11.63/11.80 (m_state_v_A2M(c_s, s3, c_retract) | node35(c_s, s3, s4) | node33(c_s, s3) | node34(c_s, s3)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4968, 632, 4962])).
% 11.63/11.80 tff(4970,plain,
% 11.63/11.80 (node35(c_s, s3, s4)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4969, 4958, 3900, 4954])).
% 11.63/11.80 tff(4971,assumption,(m_state_v_a2ext(c_s, s3, c_retracted)), introduced(assumption)).
% 11.63/11.80 tff(4972,assumption,(node35(c_s, s3, s4)), introduced(assumption)).
% 11.63/11.80 tff(4973,assumption,(~m_state_v_a2ext(c_s, s4, c_retracted)), introduced(assumption)).
% 11.63/11.80 tff(4974,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4975,plain,
% 11.63/11.80 (((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted)) <=> (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4976,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4))))),
% 11.63/11.80 inference(monotonicity,[status(thm)],[4975])).
% 11.63/11.80 tff(4977,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(transitivity,[status(thm)],[4976, 4974])).
% 11.63/11.80 tff(4978,plain,
% 11.63/11.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4979,plain,
% 11.63/11.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4978, 4977])).
% 11.63/11.80 tff(4980,plain,
% 11.63/11.80 ($false),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4979, 708, 4973, 4972, 4971])).
% 11.63/11.80 tff(4981,plain,((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted))), inference(lemma,lemma(discharge,[]))).
% 11.63/11.80 tff(4982,plain,
% 11.63/11.80 (m_state_v_a2ext(c_s, s4, c_retracted)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4981, 4970, 4950])).
% 11.63/11.80 tff(4983,plain,
% 11.63/11.80 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s4, c_ob)) | (~m_state_v_a2ext(c_s, s4, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s4, c_ob)) | (~m_state_v_a2ext(c_s, s4, c_retracted)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4984,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s4, c_ob)) | (~m_state_v_a2ext(c_s, s4, c_retracted)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4985,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s4, c_ob)) | (~m_state_v_a2ext(c_s, s4, c_retracted))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 11.63/11.80 tff(4986,plain,
% 11.63/11.80 ((~m_state_v_a2ext(c_s, s4, c_ob)) | (~m_state_v_a2ext(c_s, s4, c_retracted))),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4985, 732])).
% 11.63/11.80 tff(4987,plain,
% 11.63/11.80 (~m_state_v_a2ext(c_s, s4, c_ob)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4986, 4982])).
% 11.63/11.80 tff(4988,plain,
% 11.63/11.80 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4989,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4990,plain,
% 11.63/11.80 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 11.63/11.80 tff(4991,plain,
% 11.63/11.80 (~node137(c_s, s4)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4990, 757, 4987])).
% 11.63/11.80 tff(4992,plain,
% 11.63/11.80 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s3, c_a2ip)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s3, c_a2ip)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4993,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s3, c_a2ip)) | (~m_state_v_a2ext(c_s, s3, c_retracted)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(4994,plain,
% 11.63/11.80 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s3, c_a2ip)) | (~m_state_v_a2ext(c_s, s3, c_retracted))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 11.63/11.80 tff(4995,plain,
% 11.63/11.80 (~m_state_v_a2ext(c_s, s3, c_a2ip)),
% 11.63/11.80 inference(unit_resolution,[status(thm)],[4994, 768, 4950])).
% 11.63/11.80 tff(4996,plain,
% 11.63/11.80 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))))),
% 11.63/11.80 inference(bind,[status(th)],[])).
% 11.63/11.80 tff(4997,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(quant_intro,[status(thm)],[4996])).
% 11.63/11.80 tff(4998,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(4999,plain,
% 11.63/11.80 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))))),
% 11.63/11.80 inference(bind,[status(th)],[])).
% 11.63/11.80 tff(5000,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(quant_intro,[status(thm)],[4999])).
% 11.63/11.80 tff(5001,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_52')).
% 11.63/11.80 tff(5002,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 11.63/11.80 tff(5003,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[5002, 4998])).
% 11.63/11.80 tff(5004,plain,(
% 11.63/11.80 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(skolemize,[status(sab)],[5003])).
% 11.63/11.80 tff(5005,plain,
% 11.63/11.80 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.63/11.80 inference(modus_ponens,[status(thm)],[5004, 4997])).
% 11.63/11.80 tff(5006,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(5007,plain,
% 11.63/11.80 (((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip))) <=> (m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(rewrite,[status(thm)],[])).
% 11.63/11.80 tff(5008,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4))))),
% 11.63/11.80 inference(monotonicity,[status(thm)],[5007])).
% 11.63/11.80 tff(5009,plain,
% 11.63/11.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4)))),
% 11.63/11.80 inference(transitivity,[status(thm)],[5008, 5006])).
% 11.63/11.80 tff(5010,plain,
% 11.63/11.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))),
% 11.63/11.80 inference(quant_inst,[status(thm)],[])).
% 11.63/11.80 tff(5011,plain,
% 11.63/11.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)) | (~node35(c_s, s3, s4))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 11.63/11.81 tff(5012,plain,
% 11.63/11.81 (~m_state_v_a2ext(c_s, s4, c_a2ip)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5011, 5005, 4970, 4995])).
% 11.63/11.81 tff(5013,plain,
% 11.63/11.81 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))))),
% 11.63/11.81 inference(bind,[status(th)],[])).
% 11.63/11.81 tff(5014,plain,
% 11.63/11.81 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.63/11.81 inference(quant_intro,[status(thm)],[5013])).
% 11.63/11.81 tff(5015,plain,
% 11.63/11.81 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5016,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_82')).
% 11.63/11.81 tff(5017,plain,
% 11.63/11.81 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 11.63/11.81 tff(5018,plain,(
% 11.63/11.81 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.63/11.81 inference(skolemize,[status(sab)],[5017])).
% 11.63/11.81 tff(5019,plain,
% 11.63/11.81 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5018, 5014])).
% 11.63/11.81 tff(5020,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node136(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node136(c_s, s4)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5021,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node136(c_s, s4)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5022,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node136(c_s, s4))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 11.63/11.81 tff(5023,plain,
% 11.63/11.81 (~node136(c_s, s4)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5022, 5019, 5012])).
% 11.63/11.81 tff(5024,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5025,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5026,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 11.63/11.81 tff(5027,plain,
% 11.63/11.81 (~node134(c_s, s4)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5026, 782, 5012])).
% 11.63/11.81 tff(5028,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5029,plain,
% 11.63/11.81 (((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle))) <=> (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5030,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4))))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5029])).
% 11.63/11.81 tff(5031,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4)))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5030, 5028])).
% 11.63/11.81 tff(5032,plain,
% 11.63/11.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s3, s4)) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5033,plain,
% 11.63/11.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s3, c_idle) | (~m_state_v_A1M(c_s, s4, c_idle)) | (~node130(c_s, s3, s4))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 11.63/11.81 tff(5034,plain,
% 11.63/11.81 (~m_state_v_A1M(c_s, s4, c_idle)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5033, 1619, 2572, 3660])).
% 11.63/11.81 tff(5035,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5036,plain,
% 11.63/11.81 ((m_state_v_A1M(c_s, s4, c_idle) | (~node132(c_s, s4))) <=> ((~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5037,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s4, c_idle) | (~node132(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle)))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5036])).
% 11.63/11.81 tff(5038,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s4, c_idle) | (~node132(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5037, 5035])).
% 11.63/11.81 tff(5039,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s4, c_idle) | (~node132(c_s, s4)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5040,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 11.63/11.81 tff(5041,plain,
% 11.63/11.81 (~node132(c_s, s4)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5040, 4032, 5034])).
% 11.63/11.81 tff(5042,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5043,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5044,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5043, 5042])).
% 11.63/11.81 tff(5045,plain,
% 11.63/11.81 (~node135(c_s, s4)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5044, 746, 4987])).
% 11.63/11.81 tff(5046,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5047,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5048,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 11.63/11.81 tff(5049,plain,
% 11.63/11.81 (~node139(c_s, s4)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5048, 549, 4237])).
% 11.63/11.81 tff(5050,plain,
% 11.63/11.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5051,plain,
% 11.63/11.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5052,plain,
% 11.63/11.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 11.63/11.81 tff(5053,plain,
% 11.63/11.81 (node141(c_s, s4, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5052, 52, 49, 4253])).
% 11.63/11.81 tff(5054,plain,
% 11.63/11.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5055,plain,
% 11.63/11.81 ((node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))) <=> (node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5056,plain,
% 11.63/11.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5055])).
% 11.63/11.81 tff(5057,plain,
% 11.63/11.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5056, 5054])).
% 11.63/11.81 tff(5058,plain,
% 11.63/11.81 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5059,plain,
% 11.63/11.81 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 11.63/11.81 tff(5060,plain,
% 11.63/11.81 (node135(c_s, s4) | node137(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node132(c_s, s4) | node136(c_s, s4) | node134(c_s, s4) | node140(c_s, s4, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5059, 185, 5053])).
% 11.63/11.81 tff(5061,plain,
% 11.63/11.81 (node140(c_s, s4, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5060, 5049, 5045, 5041, 5027, 5023, 4991, 4949, 4945])).
% 11.63/11.81 tff(5062,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5063,plain,
% 11.63/11.81 (((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract))) <=> (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5064,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5))))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5063])).
% 11.63/11.81 tff(5065,plain,
% 11.63/11.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5064, 5062])).
% 11.63/11.81 tff(5066,plain,
% 11.63/11.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5067,plain,
% 11.63/11.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5066, 5065])).
% 11.63/11.81 tff(5068,plain,
% 11.63/11.81 (~m_state_v_A2M(c_s, s5, c_retract)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5067, 3717, 4237, 5061])).
% 11.63/11.81 tff(5069,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node151(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node151(c_s, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5070,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node151(c_s, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5071,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node151(c_s, s5))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 11.63/11.81 tff(5072,plain,
% 11.63/11.81 (~node151(c_s, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5071, 3740, 5068])).
% 11.63/11.81 tff(5073,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node152(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node152(c_s, s5)))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5074,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node152(c_s, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5075,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node152(c_s, s5))),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 11.63/11.81 tff(5076,plain,
% 11.63/11.81 (~node152(c_s, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5075, 3939, 5068])).
% 11.63/11.81 tff(5077,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5078,plain,
% 11.63/11.81 ((m_state_v_RRM(c_s, s5, c_clockwise) | (~node157(c_s, s5))) <=> ((~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5079,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s5, c_clockwise) | (~node157(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise)))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5078])).
% 11.63/11.81 tff(5080,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s5, c_clockwise) | (~node157(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5079, 5077])).
% 11.63/11.81 tff(5081,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s5, c_clockwise) | (~node157(c_s, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5082,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s5)) | m_state_v_RRM(c_s, s5, c_clockwise)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5081, 5080])).
% 11.63/11.81 tff(5083,plain,
% 11.63/11.81 (~node157(c_s, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5082, 1282, 4273])).
% 11.63/11.81 tff(5084,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | ((~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5085,plain,
% 11.63/11.81 ((m_state_v_RRM(c_s, s5, c_counterclock) | (~node156(c_s, s5))) <=> ((~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5086,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node156(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | ((~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5085])).
% 11.63/11.81 tff(5087,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node156(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5086, 5084])).
% 11.63/11.81 tff(5088,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node156(c_s, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5089,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (~node156(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 11.63/11.81 tff(5090,plain,
% 11.63/11.81 (~node156(c_s, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5089, 3925, 4294])).
% 11.63/11.81 tff(5091,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | ((~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5092,plain,
% 11.63/11.81 ((m_state_v_RRM(c_s, s5, c_counterclock) | (~node154(c_s, s5))) <=> ((~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(rewrite,[status(thm)],[])).
% 11.63/11.81 tff(5093,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node154(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | ((~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)))),
% 11.63/11.81 inference(monotonicity,[status(thm)],[5092])).
% 11.63/11.81 tff(5094,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node154(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.63/11.81 inference(transitivity,[status(thm)],[5093, 5091])).
% 11.63/11.81 tff(5095,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~node154(c_s, s5)))),
% 11.63/11.81 inference(quant_inst,[status(thm)],[])).
% 11.63/11.81 tff(5096,plain,
% 11.63/11.81 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (~node154(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.63/11.81 inference(modus_ponens,[status(thm)],[5095, 5094])).
% 11.63/11.81 tff(5097,plain,
% 11.63/11.81 (~node154(c_s, s5)),
% 11.63/11.81 inference(unit_resolution,[status(thm)],[5096, 3911, 4294])).
% 11.63/11.81 tff(5098,plain,
% 11.63/11.81 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))),
% 11.63/11.82 inference(rewrite,[status(thm)],[])).
% 11.63/11.82 tff(5099,plain,
% 11.63/11.82 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))),
% 11.63/11.82 inference(quant_inst,[status(thm)],[])).
% 11.63/11.82 tff(5100,plain,
% 11.63/11.82 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4))),
% 11.63/11.82 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 11.63/11.82 tff(5101,plain,
% 11.63/11.82 (~node147(c_s, s4)),
% 11.63/11.82 inference(unit_resolution,[status(thm)],[5100, 1209, 4987])).
% 11.63/11.82 tff(5102,plain,
% 11.63/11.82 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))),
% 11.63/11.82 inference(rewrite,[status(thm)],[])).
% 11.63/11.82 tff(5103,plain,
% 11.63/11.82 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))),
% 11.63/11.82 inference(quant_inst,[status(thm)],[])).
% 11.63/11.82 tff(5104,plain,
% 11.63/11.82 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4))),
% 11.63/11.82 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 11.63/11.82 tff(5105,plain,
% 11.63/11.82 (~node146(c_s, s4)),
% 11.63/11.82 inference(unit_resolution,[status(thm)],[5104, 1198, 5012])).
% 11.63/11.82 tff(5106,plain,
% 11.63/11.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))),
% 11.63/11.82 inference(rewrite,[status(thm)],[])).
% 11.63/11.82 tff(5107,plain,
% 11.63/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))),
% 11.63/11.82 inference(quant_inst,[status(thm)],[])).
% 11.63/11.82 tff(5108,plain,
% 11.63/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5)),
% 11.63/11.82 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 11.63/11.82 tff(5109,plain,
% 11.63/11.82 (node149(c_s, s4, s5)),
% 11.63/11.82 inference(unit_resolution,[status(thm)],[5108, 52, 388, 4253])).
% 11.63/11.82 tff(5110,plain,
% 11.63/11.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 11.63/11.82 inference(rewrite,[status(thm)],[])).
% 11.63/11.82 tff(5111,plain,
% 11.63/11.82 ((node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5))) <=> (node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 11.63/11.82 inference(rewrite,[status(thm)],[])).
% 11.63/11.82 tff(5112,plain,
% 11.63/11.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5))))),
% 11.63/11.82 inference(monotonicity,[status(thm)],[5111])).
% 11.63/11.82 tff(5113,plain,
% 11.63/11.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5112, 5110])).
% 11.66/11.82 tff(5114,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5115,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5))),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5114, 5113])).
% 11.66/11.82 tff(5116,plain,
% 11.66/11.82 (node147(c_s, s4) | node146(c_s, s4) | node148(c_s, s4, s5)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5115, 424, 5109])).
% 11.66/11.82 tff(5117,plain,
% 11.66/11.82 (node148(c_s, s4, s5)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5116, 5105, 5101])).
% 11.66/11.82 tff(5118,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5119,plain,
% 11.66/11.82 (((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on))) <=> (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5120,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5))))),
% 11.66/11.82 inference(monotonicity,[status(thm)],[5119])).
% 11.66/11.82 tff(5121,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5120, 5118])).
% 11.66/11.82 tff(5122,plain,
% 11.66/11.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5123,plain,
% 11.66/11.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5))),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5122, 5121])).
% 11.66/11.82 tff(5124,plain,
% 11.66/11.82 (~m_state_v_A2Mag(c_s, s5, c_on)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5123, 464, 1239, 5117])).
% 11.66/11.82 tff(5125,plain,
% 11.66/11.82 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5126,plain,
% 11.66/11.82 ((m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5))) <=> ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5127,plain,
% 11.66/11.82 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)))),
% 11.66/11.82 inference(monotonicity,[status(thm)],[5126])).
% 11.66/11.82 tff(5128,plain,
% 11.66/11.82 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5127, 5125])).
% 11.66/11.82 tff(5129,plain,
% 11.66/11.82 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5130,plain,
% 11.66/11.82 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 11.66/11.82 tff(5131,plain,
% 11.66/11.82 (~node155(c_s, s5)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5130, 1246, 5124])).
% 11.66/11.82 tff(5132,plain,
% 11.66/11.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5133,plain,
% 11.66/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5134,plain,
% 11.66/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5133, 5132])).
% 11.66/11.82 tff(5135,plain,
% 11.66/11.82 (node159(c_s, s5, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5134, 52, 1260, 15])).
% 11.66/11.82 tff(5136,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5137,plain,
% 11.66/11.82 ((node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6))) <=> (node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5138,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6)))),
% 11.66/11.82 inference(monotonicity,[status(thm)],[5137])).
% 11.66/11.82 tff(5139,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5138, 5136])).
% 11.66/11.82 tff(5140,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5141,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 11.66/11.82 tff(5142,plain,
% 11.66/11.82 (node157(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node150(c_s, s5) | node152(c_s, s5) | node151(c_s, s5) | node158(c_s, s5, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5141, 1376, 5135])).
% 11.66/11.82 tff(5143,plain,
% 11.66/11.82 (node153(c_s, s5) | node150(c_s, s5) | node158(c_s, s5, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5142, 5131, 5097, 5090, 5083, 5076, 5072])).
% 11.66/11.82 tff(5144,plain,
% 11.66/11.82 (node158(c_s, s5, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5143, 4941, 4930])).
% 11.66/11.82 tff(5145,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5146,plain,
% 11.66/11.82 (((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock))) <=> (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5147,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6))))),
% 11.66/11.82 inference(monotonicity,[status(thm)],[5146])).
% 11.66/11.82 tff(5148,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5147, 5145])).
% 11.66/11.82 tff(5149,plain,
% 11.66/11.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5150,plain,
% 11.66/11.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6))),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 11.66/11.82 tff(5151,plain,
% 11.66/11.82 (~m_state_v_RRM(c_s, s6, c_counterclock)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5150, 1393, 4294, 5144])).
% 11.66/11.82 tff(5152,plain,
% 11.66/11.82 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5153,plain,
% 11.66/11.82 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5154,plain,
% 11.66/11.82 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 11.66/11.82 tff(5155,plain,
% 11.66/11.82 (~node37(c_s, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5154, 265, 5151])).
% 11.66/11.82 tff(5156,plain,
% 11.66/11.82 (succ(s6, s7) <=> succ(s6, s7)),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5157,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 11.66/11.82 tff(5158,plain,
% 11.66/11.82 (succ(s6, s7)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 11.66/11.82 tff(5159,plain,
% 11.66/11.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5160,plain,
% 11.66/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5161,plain,
% 11.66/11.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 11.66/11.82 tff(5162,plain,
% 11.66/11.82 (trans(s6, s7)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5161, 5158, 8])).
% 11.66/11.82 tff(5163,plain,
% 11.66/11.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5164,plain,
% 11.66/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5165,plain,
% 11.66/11.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5164, 5163])).
% 11.66/11.82 tff(5166,plain,
% 11.66/11.82 (node42(c_s, s6, s7)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5165, 28, 25, 5162])).
% 11.66/11.82 tff(5167,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5168,plain,
% 11.66/11.82 ((node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7))) <=> (node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5169,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6)))),
% 11.66/11.82 inference(monotonicity,[status(thm)],[5168])).
% 11.66/11.82 tff(5170,plain,
% 11.66/11.82 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6))),
% 11.66/11.82 inference(transitivity,[status(thm)],[5169, 5167])).
% 11.66/11.82 tff(5171,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))),
% 11.66/11.82 inference(quant_inst,[status(thm)],[])).
% 11.66/11.82 tff(5172,plain,
% 11.66/11.82 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)) | node40(c_s, s6) | node37(c_s, s6)),
% 11.66/11.82 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 11.66/11.82 tff(5173,plain,
% 11.66/11.82 (node39(c_s, s6) | node38(c_s, s6) | node41(c_s, s6, s7) | node40(c_s, s6) | node37(c_s, s6)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5172, 323, 5166])).
% 11.66/11.82 tff(5174,plain,
% 11.66/11.82 (node41(c_s, s6, s7)),
% 11.66/11.82 inference(unit_resolution,[status(thm)],[5173, 5155, 4884, 4876, 4868])).
% 11.66/11.82 tff(5175,assumption,(node41(c_s, s6, s7)), introduced(assumption)).
% 11.66/11.82 tff(5176,assumption,(m_state_v_angle(c_s, s6, c_arm1totable)), introduced(assumption)).
% 11.66/11.82 tff(5177,assumption,(~m_state_v_angle(c_s, s7, c_arm1totable)), introduced(assumption)).
% 11.66/11.82 tff(5178,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5179,plain,
% 11.66/11.82 (((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable)) <=> (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 11.66/11.82 inference(rewrite,[status(thm)],[])).
% 11.66/11.82 tff(5180,plain,
% 11.66/11.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7))))),
% 11.66/11.83 inference(monotonicity,[status(thm)],[5179])).
% 11.66/11.83 tff(5181,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 11.66/11.83 inference(transitivity,[status(thm)],[5180, 5178])).
% 11.66/11.83 tff(5182,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))),
% 11.66/11.83 inference(quant_inst,[status(thm)],[])).
% 11.66/11.83 tff(5183,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7))),
% 11.66/11.83 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 11.66/11.83 tff(5184,plain,
% 11.66/11.83 ($false),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5183, 1443, 5177, 5176, 5175])).
% 11.66/11.83 tff(5185,plain,((~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable) | (~node41(c_s, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 11.66/11.83 tff(5186,plain,
% 11.66/11.83 (m_state_v_angle(c_s, s7, c_arm1totable)),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5185, 5174, 4818])).
% 11.66/11.83 tff(5187,assumption,(node41(c_s, s7, s8)), introduced(assumption)).
% 11.66/11.83 tff(5188,assumption,(m_state_v_angle(c_s, s7, c_arm1totable)), introduced(assumption)).
% 11.66/11.83 tff(5189,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8)))),
% 11.66/11.83 inference(rewrite,[status(thm)],[])).
% 11.66/11.83 tff(5190,plain,
% 11.66/11.83 (((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable)) <=> (m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8)))),
% 11.66/11.83 inference(rewrite,[status(thm)],[])).
% 11.66/11.83 tff(5191,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8))))),
% 11.66/11.83 inference(monotonicity,[status(thm)],[5190])).
% 11.66/11.83 tff(5192,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8)))),
% 11.66/11.83 inference(transitivity,[status(thm)],[5191, 5189])).
% 11.66/11.83 tff(5193,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))),
% 11.66/11.83 inference(quant_inst,[status(thm)],[])).
% 11.66/11.83 tff(5194,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node41(c_s, s7, s8))),
% 11.66/11.83 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 11.66/11.83 tff(5195,plain,
% 11.66/11.83 ($false),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5194, 1443, 1, 5188, 5187])).
% 11.66/11.83 tff(5196,plain,((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~m_state_v_angle(c_s, s7, c_arm1totable))), inference(lemma,lemma(discharge,[]))).
% 11.66/11.83 tff(5197,plain,
% 11.66/11.83 ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm1totable)),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5196, 5186])).
% 11.66/11.83 tff(5198,plain,
% 11.66/11.83 (~node41(c_s, s7, s8)),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5197, 1])).
% 11.66/11.83 tff(5199,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 11.66/11.83 inference(rewrite,[status(thm)],[])).
% 11.66/11.83 tff(5200,plain,
% 11.66/11.83 (((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle)) <=> (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 11.66/11.83 inference(rewrite,[status(thm)],[])).
% 11.66/11.83 tff(5201,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6))))),
% 11.66/11.83 inference(monotonicity,[status(thm)],[5200])).
% 11.66/11.83 tff(5202,plain,
% 11.66/11.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 11.66/11.83 inference(transitivity,[status(thm)],[5201, 5199])).
% 11.66/11.83 tff(5203,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))),
% 11.66/11.83 inference(quant_inst,[status(thm)],[])).
% 11.66/11.83 tff(5204,plain,
% 11.66/11.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6))),
% 11.66/11.83 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 11.66/11.83 tff(5205,plain,
% 11.66/11.83 (m_state_v_RRM(c_s, s6, c_idle)),
% 11.66/11.83 inference(unit_resolution,[status(thm)],[5204, 1681, 4844, 5144])).
% 11.66/11.83 tff(5206,plain,
% 11.66/11.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))),
% 11.66/11.83 inference(rewrite,[status(thm)],[])).
% 11.66/11.83 tff(5207,plain,
% 11.66/11.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5208,plain,
% 11.67/11.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7)),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 11.67/11.83 tff(5209,plain,
% 11.67/11.83 (node48(c_s, s6, s7)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5208, 28, 3778, 5162])).
% 11.67/11.83 tff(5210,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5211,plain,
% 11.67/11.83 (((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle))) <=> ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5212,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))))),
% 11.67/11.83 inference(monotonicity,[status(thm)],[5211])).
% 11.67/11.83 tff(5213,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(transitivity,[status(thm)],[5212, 5210])).
% 11.67/11.83 tff(5214,plain,
% 11.67/11.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5215,plain,
% 11.67/11.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 11.67/11.83 tff(5216,plain,
% 11.67/11.83 ((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5215, 3792, 5209])).
% 11.67/11.83 tff(5217,plain,
% 11.67/11.83 (m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5216, 5205, 4818])).
% 11.67/11.83 tff(5218,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5219,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5220,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 11.67/11.83 tff(5221,plain,
% 11.67/11.83 (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5220, 4667, 5217])).
% 11.67/11.83 tff(5222,plain,
% 11.67/11.83 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5223,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5224,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 11.67/11.83 tff(5225,plain,
% 11.67/11.83 (~node40(c_s, s7)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5224, 4681, 5221])).
% 11.67/11.83 tff(5226,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5227,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5228,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm2topress))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 11.67/11.83 tff(5229,plain,
% 11.67/11.83 (~m_state_v_angle(c_s, s6, c_arm2topress)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5228, 72, 5176])).
% 11.67/11.83 tff(5230,plain,
% 11.67/11.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~node38(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~node38(c_s, s6)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5231,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~node38(c_s, s6)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5232,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~node38(c_s, s6))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 11.67/11.83 tff(5233,plain,
% 11.67/11.83 (~node38(c_s, s6)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5232, 276, 5229])).
% 11.67/11.83 tff(5234,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5235,plain,
% 11.67/11.83 (((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5236,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable))))),
% 11.67/11.83 inference(monotonicity,[status(thm)],[5235])).
% 11.67/11.83 tff(5237,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.67/11.83 inference(transitivity,[status(thm)],[5236, 5234])).
% 11.67/11.83 tff(5238,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5239,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~m_state_v_angle(c_s, s6, c_arm1totable))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 11.67/11.83 tff(5240,plain,
% 11.67/11.83 (~m_state_v_angle(c_s, s6, c_arm1topress)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5239, 298, 5176])).
% 11.67/11.83 tff(5241,plain,
% 11.67/11.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node40(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node40(c_s, s6)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5242,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node40(c_s, s6)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5243,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node40(c_s, s6))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5242, 5241])).
% 11.67/11.83 tff(5244,plain,
% 11.67/11.83 (~node40(c_s, s6)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5243, 309, 5240])).
% 11.67/11.83 tff(5245,assumption,(~node39(c_s, s6)), introduced(assumption)).
% 11.67/11.83 tff(5246,assumption,(m_state_v_angle(c_s, s7, c_arm2todepbelt)), introduced(assumption)).
% 11.67/11.83 tff(5247,plain,
% 11.67/11.83 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s7, c_arm2topress)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5248,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s7, c_arm2topress)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5249,plain,
% 11.67/11.83 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 11.67/11.83 tff(5250,plain,
% 11.67/11.83 (~m_state_v_angle(c_s, s7, c_arm2topress)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5249, 3761, 5246])).
% 11.67/11.83 tff(5251,assumption,(~m_state_v_angle(c_s, s7, c_arm2topress)), introduced(assumption)).
% 11.67/11.83 tff(5252,assumption,(node37(c_s, s6)), introduced(assumption)).
% 11.67/11.83 tff(5253,plain,
% 11.67/11.83 (^[X: $i, J0: $i] : refl((m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X))) <=> (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X))))),
% 11.67/11.83 inference(bind,[status(th)],[])).
% 11.67/11.83 tff(5254,plain,
% 11.67/11.83 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))),
% 11.67/11.83 inference(quant_intro,[status(thm)],[5253])).
% 11.67/11.83 tff(5255,plain,
% 11.67/11.83 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5256,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_60')).
% 11.67/11.83 tff(5257,plain,
% 11.67/11.83 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 11.67/11.83 tff(5258,plain,(
% 11.67/11.83 ![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))),
% 11.67/11.83 inference(skolemize,[status(sab)],[5257])).
% 11.67/11.83 tff(5259,plain,
% 11.67/11.83 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5258, 5254])).
% 11.67/11.83 tff(5260,plain,
% 11.67/11.83 (((~![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))) | (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~node37(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~node37(c_s, s6)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5261,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))) | (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~node37(c_s, s6)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5262,plain,
% 11.67/11.83 ((~![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedattable) | (~node37(J0, X)))) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~node37(c_s, s6))),
% 11.67/11.83 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 11.67/11.83 tff(5263,plain,
% 11.67/11.83 (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5262, 5259, 5252])).
% 11.67/11.83 tff(5264,plain,
% 11.67/11.83 (m_state_v_RRM(c_s, s6, c_counterclock)),
% 11.67/11.83 inference(unit_resolution,[status(thm)],[5154, 265, 5252])).
% 11.67/11.83 tff(5265,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5266,plain,
% 11.67/11.83 (((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s6, c_counterclock))) <=> (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.67/11.83 inference(rewrite,[status(thm)],[])).
% 11.67/11.83 tff(5267,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))))),
% 11.67/11.83 inference(monotonicity,[status(thm)],[5266])).
% 11.67/11.83 tff(5268,plain,
% 11.67/11.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 11.67/11.83 inference(transitivity,[status(thm)],[5267, 5265])).
% 11.67/11.83 tff(5269,plain,
% 11.67/11.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s6, c_counterclock)))),
% 11.67/11.83 inference(quant_inst,[status(thm)],[])).
% 11.67/11.83 tff(5270,plain,
% 11.67/11.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node42(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5269, 5268])).
% 11.67/11.84 tff(5271,plain,
% 11.67/11.84 (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5270, 3809, 5166])).
% 11.67/11.84 tff(5272,plain,
% 11.67/11.84 ($false),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5271, 5264, 5263, 5176, 5251])).
% 11.67/11.84 tff(5273,plain,((~node37(c_s, s6)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm2topress)), inference(lemma,lemma(discharge,[]))).
% 11.67/11.84 tff(5274,plain,
% 11.67/11.84 (~node37(c_s, s6)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5273, 5250, 5176])).
% 11.67/11.84 tff(5275,plain,
% 11.67/11.84 (node41(c_s, s6, s7)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5173, 5274, 5245, 5244, 5233])).
% 11.67/11.84 tff(5276,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5277,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5278,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 11.67/11.84 tff(5279,plain,
% 11.67/11.84 (~m_state_v_angle(c_s, s7, c_arm1totable)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5278, 127, 5246])).
% 11.67/11.84 tff(5280,plain,
% 11.67/11.84 ($false),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5183, 1443, 5279, 5176, 5275])).
% 11.67/11.84 tff(5281,plain,((~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | node39(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 11.67/11.84 tff(5282,plain,
% 11.67/11.84 (~m_state_v_angle(c_s, s7, c_arm2todepbelt)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5281, 4868, 4818])).
% 11.67/11.84 tff(5283,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node39(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node39(c_s, s7)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5284,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node39(c_s, s7)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5285,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node39(c_s, s7))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 11.67/11.84 tff(5286,plain,
% 11.67/11.84 (~node39(c_s, s7)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5285, 287, 5282])).
% 11.67/11.84 tff(5287,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5288,plain,
% 11.67/11.84 (((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5289,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))))),
% 11.67/11.84 inference(monotonicity,[status(thm)],[5288])).
% 11.67/11.84 tff(5290,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 11.67/11.84 inference(transitivity,[status(thm)],[5289, 5287])).
% 11.67/11.84 tff(5291,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5292,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 11.67/11.84 tff(5293,plain,
% 11.67/11.84 (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5292, 4642, 5217])).
% 11.67/11.84 tff(5294,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5295,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5296,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 11.67/11.84 tff(5297,plain,
% 11.67/11.84 (~node38(c_s, s7)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5296, 4656, 5293])).
% 11.67/11.84 tff(5298,plain,
% 11.67/11.84 (succ(s7, s8) <=> succ(s7, s8)),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5299,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 11.67/11.84 tff(5300,plain,
% 11.67/11.84 (succ(s7, s8)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 11.67/11.84 tff(5301,plain,
% 11.67/11.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5302,plain,
% 11.67/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5303,plain,
% 11.67/11.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 11.67/11.84 tff(5304,plain,
% 11.67/11.84 (trans(s7, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5303, 5300, 8])).
% 11.67/11.84 tff(5305,plain,
% 11.67/11.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5306,plain,
% 11.67/11.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5307,plain,
% 11.67/11.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 11.67/11.84 tff(5308,plain,
% 11.67/11.84 (node42(c_s, s7, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5307, 28, 25, 5304])).
% 11.67/11.84 tff(5309,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5310,plain,
% 11.67/11.84 ((node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))) <=> (node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5311,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))))),
% 11.67/11.84 inference(monotonicity,[status(thm)],[5310])).
% 11.67/11.84 tff(5312,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(transitivity,[status(thm)],[5311, 5309])).
% 11.67/11.84 tff(5313,plain,
% 11.67/11.84 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5314,plain,
% 11.67/11.84 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 11.67/11.84 tff(5315,plain,
% 11.67/11.84 (node38(c_s, s7) | node40(c_s, s7) | node37(c_s, s7) | node39(c_s, s7) | node41(c_s, s7, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5314, 323, 5308])).
% 11.67/11.84 tff(5316,plain,
% 11.67/11.84 (node37(c_s, s7) | node41(c_s, s7, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5315, 5297, 5286, 5225])).
% 11.67/11.84 tff(5317,plain,
% 11.67/11.84 (node37(c_s, s7)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5316, 5198])).
% 11.67/11.84 tff(5318,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5319,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5320,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 11.67/11.84 tff(5321,plain,
% 11.67/11.84 (m_state_v_RRM(c_s, s7, c_counterclock)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5320, 265, 5317])).
% 11.67/11.84 tff(5322,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5323,plain,
% 11.67/11.84 (((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node42(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s7, c_counterclock))) <=> (m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5324,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node42(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8))))),
% 11.67/11.84 inference(monotonicity,[status(thm)],[5323])).
% 11.67/11.84 tff(5325,plain,
% 11.67/11.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node42(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8)))),
% 11.67/11.84 inference(transitivity,[status(thm)],[5324, 5322])).
% 11.67/11.84 tff(5326,plain,
% 11.67/11.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node42(c_s, s7, s8)) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5327,plain,
% 11.67/11.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~node42(c_s, s7, s8))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 11.67/11.84 tff(5328,plain,
% 11.67/11.84 (m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5327, 3809, 5308])).
% 11.67/11.84 tff(5329,plain,
% 11.67/11.84 (m_state_v_angle(c_s, s8, c_arm2topress) | (~m_state_v_RRM(c_s, s7, c_counterclock))),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5328, 5217, 5186])).
% 11.67/11.84 tff(5330,plain,
% 11.67/11.84 (m_state_v_angle(c_s, s8, c_arm2topress)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5329, 5321])).
% 11.67/11.84 tff(5331,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5332,plain,
% 11.67/11.84 (((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5333,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress))))),
% 11.67/11.84 inference(monotonicity,[status(thm)],[5332])).
% 11.67/11.84 tff(5334,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 11.67/11.84 inference(transitivity,[status(thm)],[5333, 5331])).
% 11.67/11.84 tff(5335,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm1topress)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5336,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~m_state_v_angle(c_s, s8, c_arm2topress))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 11.67/11.84 tff(5337,plain,
% 11.67/11.84 (~m_state_v_angle(c_s, s8, c_arm1topress)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5336, 4563, 5330])).
% 11.67/11.84 tff(5338,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node40(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node40(c_s, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5339,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node40(c_s, s8)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5340,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node40(c_s, s8))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 11.67/11.84 tff(5341,plain,
% 11.67/11.84 (~node40(c_s, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5340, 309, 5337])).
% 11.67/11.84 tff(5342,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm2todepbelt)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5343,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm2todepbelt)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5344,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_angle(c_s, s8, c_arm2todepbelt))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 11.67/11.84 tff(5345,plain,
% 11.67/11.84 (~m_state_v_angle(c_s, s8, c_arm2todepbelt)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5344, 3761, 5330])).
% 11.67/11.84 tff(5346,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | ((~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5347,plain,
% 11.67/11.84 ((m_state_v_angle(c_s, s8, c_arm2todepbelt) | (~node39(c_s, s8))) <=> ((~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5348,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm2todepbelt) | (~node39(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | ((~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt)))),
% 11.67/11.84 inference(monotonicity,[status(thm)],[5347])).
% 11.67/11.84 tff(5349,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm2todepbelt) | (~node39(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt))),
% 11.67/11.84 inference(transitivity,[status(thm)],[5348, 5346])).
% 11.67/11.84 tff(5350,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm2todepbelt) | (~node39(c_s, s8)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5351,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (~node39(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm2todepbelt)),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5350, 5349])).
% 11.67/11.84 tff(5352,plain,
% 11.67/11.84 (~node39(c_s, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5351, 287, 5345])).
% 11.67/11.84 tff(5353,plain,
% 11.67/11.84 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X))))),
% 11.67/11.84 inference(bind,[status(th)],[])).
% 11.67/11.84 tff(5354,plain,
% 11.67/11.84 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))),
% 11.67/11.84 inference(quant_intro,[status(thm)],[5353])).
% 11.67/11.84 tff(5355,plain,
% 11.67/11.84 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5356,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_58')).
% 11.67/11.84 tff(5357,plain,
% 11.67/11.84 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5356, 5355])).
% 11.67/11.84 tff(5358,plain,(
% 11.67/11.84 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))),
% 11.67/11.84 inference(skolemize,[status(sab)],[5357])).
% 11.67/11.84 tff(5359,plain,
% 11.67/11.84 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5358, 5354])).
% 11.67/11.84 tff(5360,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node37(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node37(c_s, s8)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5361,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node37(c_s, s8)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5362,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node37(c_s, s8))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 11.67/11.84 tff(5363,plain,
% 11.67/11.84 (~node37(c_s, s8)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5362, 5359, 1])).
% 11.67/11.84 tff(5364,plain,
% 11.67/11.84 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_RRM(c_s, s7, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_RRM(c_s, s7, c_idle)))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5365,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_RRM(c_s, s7, c_idle)))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5366,plain,
% 11.67/11.84 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~m_state_v_RRM(c_s, s7, c_idle))),
% 11.67/11.84 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 11.67/11.84 tff(5367,plain,
% 11.67/11.84 (~m_state_v_RRM(c_s, s7, c_idle)),
% 11.67/11.84 inference(unit_resolution,[status(thm)],[5366, 251, 5321])).
% 11.67/11.84 tff(5368,plain,
% 11.67/11.84 (((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s7)) | m_state_v_RRM(c_s, s7, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s7)) | m_state_v_RRM(c_s, s7, c_idle))),
% 11.67/11.84 inference(rewrite,[status(thm)],[])).
% 11.67/11.84 tff(5369,plain,
% 11.67/11.84 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | ((~node43(c_s, s7)) | m_state_v_RRM(c_s, s7, c_idle))),
% 11.67/11.84 inference(quant_inst,[status(thm)],[])).
% 11.67/11.84 tff(5370,plain,
% 11.67/11.85 ((~![X: $i, J0: $i] : ((~node43(J0, X)) | m_state_v_RRM(J0, X, c_idle))) | (~node43(c_s, s7)) | m_state_v_RRM(c_s, s7, c_idle)),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 11.67/11.85 tff(5371,plain,
% 11.67/11.85 (~node43(c_s, s7)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5370, 4389, 5367])).
% 11.67/11.85 tff(5372,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5373,plain,
% 11.67/11.85 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5374,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5373])).
% 11.67/11.85 tff(5375,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5374, 5372])).
% 11.67/11.85 tff(5376,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5377,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node41(c_s, s1, s2))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 11.67/11.85 tff(5378,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5377, 340, 1424, 1433])).
% 11.67/11.85 tff(5379,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5380,plain,
% 11.67/11.85 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress))) <=> (m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5381,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5380])).
% 11.67/11.85 tff(5382,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5381, 5379])).
% 11.67/11.85 tff(5383,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5384,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s2, s3))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 11.67/11.85 tff(5385,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s3, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5384, 340, 5378, 4756])).
% 11.67/11.85 tff(5386,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5387,plain,
% 11.67/11.85 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress))) <=> (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5388,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5387])).
% 11.67/11.85 tff(5389,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5388, 5386])).
% 11.67/11.85 tff(5390,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5391,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 11.67/11.85 tff(5392,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s4, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5391, 340, 5385, 4726])).
% 11.67/11.85 tff(5393,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5394,plain,
% 11.67/11.85 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress))) <=> (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5395,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5394])).
% 11.67/11.85 tff(5396,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5395, 5393])).
% 11.67/11.85 tff(5397,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5398,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | (~node41(c_s, s4, s5))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 11.67/11.85 tff(5399,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s5, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5398, 340, 5392, 4798])).
% 11.67/11.85 tff(5400,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5401,plain,
% 11.67/11.85 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress))) <=> (m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5402,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5401])).
% 11.67/11.85 tff(5403,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5402, 5400])).
% 11.67/11.85 tff(5404,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5405,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | (~node41(c_s, s5, s6))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 11.67/11.85 tff(5406,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s6, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5405, 340, 5399, 4327])).
% 11.67/11.85 tff(5407,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5408,plain,
% 11.67/11.85 (((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5409,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5408])).
% 11.67/11.85 tff(5410,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5409, 5407])).
% 11.67/11.85 tff(5411,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5412,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node41(c_s, s6, s7))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 11.67/11.85 tff(5413,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s7, c_arm1topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5412, 340, 5406, 5174])).
% 11.67/11.85 tff(5414,plain,
% 11.67/11.85 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node46(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node46(c_s, s7)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5415,plain,
% 11.67/11.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node46(c_s, s7)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5416,plain,
% 11.67/11.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node46(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node46(c_s, s7))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 11.67/11.85 tff(5417,plain,
% 11.67/11.85 (~node46(c_s, s7)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5416, 4350, 5413])).
% 11.67/11.85 tff(5418,plain,
% 11.67/11.85 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node45(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node45(c_s, s7)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5419,plain,
% 11.67/11.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node45(c_s, s7)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5420,plain,
% 11.67/11.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node45(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node45(c_s, s7))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 11.67/11.85 tff(5421,plain,
% 11.67/11.85 (~node45(c_s, s7)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5420, 4362, 5282])).
% 11.67/11.85 tff(5422,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5423,plain,
% 11.67/11.85 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress))) <=> (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5424,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5423])).
% 11.67/11.85 tff(5425,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5424, 5422])).
% 11.67/11.85 tff(5426,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5427,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 11.67/11.85 tff(5428,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s2, c_arm2topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5427, 340, 347, 1433])).
% 11.67/11.85 tff(5429,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5430,plain,
% 11.67/11.85 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress))) <=> (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5431,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3))))),
% 11.67/11.85 inference(monotonicity,[status(thm)],[5430])).
% 11.67/11.85 tff(5432,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3)))),
% 11.67/11.85 inference(transitivity,[status(thm)],[5431, 5429])).
% 11.67/11.85 tff(5433,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))),
% 11.67/11.85 inference(quant_inst,[status(thm)],[])).
% 11.67/11.85 tff(5434,plain,
% 11.67/11.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | (~node41(c_s, s2, s3))),
% 11.67/11.85 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 11.67/11.85 tff(5435,plain,
% 11.67/11.85 (~m_state_v_angle(c_s, s3, c_arm2topress)),
% 11.67/11.85 inference(unit_resolution,[status(thm)],[5434, 340, 5428, 4756])).
% 11.67/11.85 tff(5436,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5437,plain,
% 11.67/11.85 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress))) <=> (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.85 inference(rewrite,[status(thm)],[])).
% 11.67/11.85 tff(5438,plain,
% 11.67/11.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5437])).
% 11.67/11.86 tff(5439,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5438, 5436])).
% 11.67/11.86 tff(5440,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5441,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 11.67/11.86 tff(5442,plain,
% 11.67/11.86 (~m_state_v_angle(c_s, s4, c_arm2topress)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5441, 340, 5435, 4726])).
% 11.67/11.86 tff(5443,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5444,plain,
% 11.67/11.86 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress))) <=> (m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5445,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5444])).
% 11.67/11.86 tff(5446,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5445, 5443])).
% 11.67/11.86 tff(5447,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5448,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~node41(c_s, s4, s5))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5447, 5446])).
% 11.67/11.86 tff(5449,plain,
% 11.67/11.86 (~m_state_v_angle(c_s, s5, c_arm2topress)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5448, 340, 5442, 4798])).
% 11.67/11.86 tff(5450,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5451,plain,
% 11.67/11.86 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress))) <=> (m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5452,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5451])).
% 11.67/11.86 tff(5453,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5452, 5450])).
% 11.67/11.86 tff(5454,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5455,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)) | (~node41(c_s, s5, s6))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 11.67/11.86 tff(5456,plain,
% 11.67/11.86 (~m_state_v_angle(c_s, s6, c_arm2topress)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5455, 340, 5449, 4327])).
% 11.67/11.86 tff(5457,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5458,plain,
% 11.67/11.86 (((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress))) <=> (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5459,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5458])).
% 11.67/11.86 tff(5460,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5459, 5457])).
% 11.67/11.86 tff(5461,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5462,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 11.67/11.86 tff(5463,plain,
% 11.67/11.86 (~m_state_v_angle(c_s, s7, c_arm2topress)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5462, 340, 5456, 5174])).
% 11.67/11.86 tff(5464,plain,
% 11.67/11.86 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node44(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node44(c_s, s7)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5465,plain,
% 11.67/11.86 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node44(c_s, s7)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5466,plain,
% 11.67/11.86 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node44(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node44(c_s, s7))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 11.67/11.86 tff(5467,plain,
% 11.67/11.86 (~node44(c_s, s7)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5466, 4504, 5463])).
% 11.67/11.86 tff(5468,plain,
% 11.67/11.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5469,plain,
% 11.67/11.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5470,plain,
% 11.67/11.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 11.67/11.86 tff(5471,plain,
% 11.67/11.86 (node48(c_s, s7, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5470, 28, 3778, 5304])).
% 11.67/11.86 tff(5472,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5473,plain,
% 11.67/11.86 ((node43(c_s, s7) | node44(c_s, s7) | node45(c_s, s7) | node46(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8))) <=> (node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5474,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s7) | node44(c_s, s7) | node45(c_s, s7) | node46(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5473])).
% 11.67/11.86 tff(5475,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s7) | node44(c_s, s7) | node45(c_s, s7) | node46(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5474, 5472])).
% 11.67/11.86 tff(5476,plain,
% 11.67/11.86 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | (node43(c_s, s7) | node44(c_s, s7) | node45(c_s, s7) | node46(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5477,plain,
% 11.67/11.86 ((~![Y: $i, X: $i, J0: $i] : (node43(J0, X) | node44(J0, X) | node45(J0, X) | node46(J0, X) | node47(J0, X, Y) | (~node48(J0, X, Y)))) | node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8) | (~node48(c_s, s7, s8))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5476, 5475])).
% 11.67/11.86 tff(5478,plain,
% 11.67/11.86 (node44(c_s, s7) | node46(c_s, s7) | node43(c_s, s7) | node45(c_s, s7) | node47(c_s, s7, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5477, 4403, 5471])).
% 11.67/11.86 tff(5479,plain,
% 11.67/11.86 (node43(c_s, s7) | node47(c_s, s7, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5478, 5467, 5421, 5417])).
% 11.67/11.86 tff(5480,plain,
% 11.67/11.86 (node47(c_s, s7, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5479, 5371])).
% 11.67/11.86 tff(5481,plain,
% 11.67/11.86 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V))) <=> ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V))))),
% 11.67/11.86 inference(bind,[status(th)],[])).
% 11.67/11.86 tff(5482,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(quant_intro,[status(thm)],[5481])).
% 11.67/11.86 tff(5483,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5484,plain,
% 11.67/11.86 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_angle_status(J0, Y, V)) | m_state_v_angle_status(J0, X, V)) | (~node47(J0, X, Y))) <=> ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V))))),
% 11.67/11.86 inference(bind,[status(th)],[])).
% 11.67/11.86 tff(5485,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle_status(J0, Y, V)) | m_state_v_angle_status(J0, X, V)) | (~node47(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(quant_intro,[status(thm)],[5484])).
% 11.67/11.86 tff(5486,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle_status(J0, Y, V)) | m_state_v_angle_status(J0, X, V)) | (~node47(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_87')).
% 11.67/11.86 tff(5487,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5486, 5485])).
% 11.67/11.86 tff(5488,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5487, 5483])).
% 11.67/11.86 tff(5489,plain,(
% 11.67/11.86 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(skolemize,[status(sab)],[5488])).
% 11.67/11.86 tff(5490,plain,
% 11.67/11.86 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5489, 5482])).
% 11.67/11.86 tff(5491,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | ((~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5492,plain,
% 11.67/11.86 (((~node47(c_s, s7, s8)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress))) <=> ((~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5493,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | ((~node47(c_s, s7, s8)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | ((~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5492])).
% 11.67/11.86 tff(5494,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | ((~node47(c_s, s7, s8)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5493, 5491])).
% 11.67/11.86 tff(5495,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | ((~node47(c_s, s7, s8)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5496,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node47(J0, X, Y)) | m_state_v_angle_status(J0, X, V) | (~m_state_v_angle_status(J0, Y, V)))) | (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress) | (~node47(c_s, s7, s8))),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 11.67/11.86 tff(5497,plain,
% 11.67/11.86 (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5496, 5490, 5293, 5480])).
% 11.67/11.86 tff(5498,plain,
% 11.67/11.86 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s8)) | m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s8)) | m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5499,plain,
% 11.67/11.86 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s8)) | m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5500,plain,
% 11.67/11.86 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s8)) | m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 11.67/11.86 tff(5501,plain,
% 11.67/11.86 (~node38(c_s, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5500, 4656, 5497])).
% 11.67/11.86 tff(5502,plain,
% 11.67/11.86 (succ(s8, s9) <=> succ(s8, s9)),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5503,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 11.67/11.86 tff(5504,plain,
% 11.67/11.86 (succ(s8, s9)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5503, 5502])).
% 11.67/11.86 tff(5505,plain,
% 11.67/11.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5506,plain,
% 11.67/11.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5507,plain,
% 11.67/11.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 11.67/11.86 tff(5508,plain,
% 11.67/11.86 (trans(s8, s9)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5507, 5504, 8])).
% 11.67/11.86 tff(5509,plain,
% 11.67/11.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5510,plain,
% 11.67/11.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5511,plain,
% 11.67/11.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 11.67/11.86 tff(5512,plain,
% 11.67/11.86 (node42(c_s, s8, s9)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5511, 28, 25, 5508])).
% 11.67/11.86 tff(5513,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5514,plain,
% 11.67/11.86 ((node37(c_s, s8) | node38(c_s, s8) | node39(c_s, s8) | node40(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9))) <=> (node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5515,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s8) | node38(c_s, s8) | node39(c_s, s8) | node40(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8)))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5514])).
% 11.67/11.86 tff(5516,plain,
% 11.67/11.86 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s8) | node38(c_s, s8) | node39(c_s, s8) | node40(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5515, 5513])).
% 11.67/11.86 tff(5517,plain,
% 11.67/11.86 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s8) | node38(c_s, s8) | node39(c_s, s8) | node40(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)))),
% 11.67/11.86 inference(quant_inst,[status(thm)],[])).
% 11.67/11.86 tff(5518,plain,
% 11.67/11.86 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | (~node42(c_s, s8, s9)) | node40(c_s, s8)),
% 11.67/11.86 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 11.67/11.86 tff(5519,plain,
% 11.67/11.86 (node39(c_s, s8) | node37(c_s, s8) | node38(c_s, s8) | node41(c_s, s8, s9) | node40(c_s, s8)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5518, 323, 5512])).
% 11.67/11.86 tff(5520,plain,
% 11.67/11.86 (node41(c_s, s8, s9)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5519, 5501, 5363, 5352, 5341])).
% 11.67/11.86 tff(5521,assumption,(~m_state_v_angle(c_s, s9, c_arm1totable)), introduced(assumption)).
% 11.67/11.86 tff(5522,assumption,(m_state_v_RRM(c_s, s7, c_counterclock)), introduced(assumption)).
% 11.67/11.86 tff(5523,plain,
% 11.67/11.86 (~m_state_v_RRM(c_s, s7, c_idle)),
% 11.67/11.86 inference(unit_resolution,[status(thm)],[5366, 251, 5522])).
% 11.67/11.86 tff(5524,assumption,(node158(c_s, s6, s7)), introduced(assumption)).
% 11.67/11.86 tff(5525,assumption,(m_state_v_RRM(c_s, s6, c_idle)), introduced(assumption)).
% 11.67/11.86 tff(5526,assumption,(~m_state_v_RRM(c_s, s7, c_idle)), introduced(assumption)).
% 11.67/11.86 tff(5527,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5528,plain,
% 11.67/11.86 (((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle)) <=> (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7)))),
% 11.67/11.86 inference(rewrite,[status(thm)],[])).
% 11.67/11.86 tff(5529,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7))))),
% 11.67/11.86 inference(monotonicity,[status(thm)],[5528])).
% 11.67/11.86 tff(5530,plain,
% 11.67/11.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7)))),
% 11.67/11.86 inference(transitivity,[status(thm)],[5529, 5527])).
% 11.67/11.86 tff(5531,plain,
% 11.67/11.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5532,plain,
% 11.67/11.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s6, c_idle)) | (~node158(c_s, s6, s7))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 11.67/11.87 tff(5533,plain,
% 11.67/11.87 ($false),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5532, 1681, 5526, 5525, 5524])).
% 11.67/11.87 tff(5534,plain,((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 11.67/11.87 tff(5535,plain,
% 11.67/11.87 (m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5534, 5205])).
% 11.67/11.87 tff(5536,plain,
% 11.67/11.87 (~node158(c_s, s6, s7)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5535, 5523])).
% 11.67/11.87 tff(5537,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5538,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5539,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 11.67/11.87 tff(5540,plain,
% 11.67/11.87 (~node153(c_s, s6)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5539, 1337, 5406])).
% 11.67/11.87 tff(5541,plain,
% 11.67/11.87 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5542,plain,
% 11.67/11.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5543,plain,
% 11.67/11.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4)),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 11.67/11.87 tff(5544,plain,
% 11.67/11.87 (node32(c_s, s3, s4)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5543, 28, 825, 1179])).
% 11.67/11.87 tff(5545,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5546,plain,
% 11.67/11.87 (((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend))) <=> ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5547,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4))))),
% 11.67/11.87 inference(monotonicity,[status(thm)],[5546])).
% 11.67/11.87 tff(5548,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.67/11.87 inference(transitivity,[status(thm)],[5547, 5545])).
% 11.67/11.87 tff(5549,plain,
% 11.67/11.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5550,plain,
% 11.67/11.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 11.67/11.87 tff(5551,plain,
% 11.67/11.87 ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5550, 4905, 5544])).
% 11.67/11.87 tff(5552,plain,
% 11.67/11.87 ((~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_a1ext(c_s, s4, c_ot)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5551, 2568])).
% 11.67/11.87 tff(5553,plain,
% 11.67/11.87 (m_state_v_a1ext(c_s, s4, c_ot)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5552, 4763])).
% 11.67/11.87 tff(5554,plain,
% 11.67/11.87 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5555,plain,
% 11.67/11.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5556,plain,
% 11.67/11.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5)),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5555, 5554])).
% 11.67/11.87 tff(5557,plain,
% 11.67/11.87 (node145(c_s, s4, s5)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5556, 52, 810, 4253])).
% 11.67/11.87 tff(5558,plain,
% 11.67/11.87 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)))),
% 11.67/11.87 inference(bind,[status(th)],[])).
% 11.67/11.87 tff(5559,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(quant_intro,[status(thm)],[5558])).
% 11.67/11.87 tff(5560,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5561,plain,
% 11.67/11.87 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))))),
% 11.67/11.87 inference(bind,[status(th)],[])).
% 11.67/11.87 tff(5562,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(quant_intro,[status(thm)],[5561])).
% 11.67/11.87 tff(5563,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_115')).
% 11.67/11.87 tff(5564,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 11.67/11.87 tff(5565,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5564, 5560])).
% 11.67/11.87 tff(5566,plain,(
% 11.67/11.87 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(skolemize,[status(sab)],[5565])).
% 11.67/11.87 tff(5567,plain,
% 11.67/11.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5566, 5559])).
% 11.67/11.87 tff(5568,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5569,plain,
% 11.67/11.87 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on)) <=> (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5570,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5))))),
% 11.67/11.87 inference(monotonicity,[status(thm)],[5569])).
% 11.67/11.87 tff(5571,plain,
% 11.67/11.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 11.67/11.87 inference(transitivity,[status(thm)],[5570, 5568])).
% 11.67/11.87 tff(5572,plain,
% 11.67/11.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5573,plain,
% 11.67/11.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5572, 5571])).
% 11.67/11.87 tff(5574,plain,
% 11.67/11.87 (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5573, 5567, 5557])).
% 11.67/11.87 tff(5575,plain,
% 11.67/11.87 (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5574, 4891])).
% 11.67/11.87 tff(5576,plain,
% 11.67/11.87 (m_state_v_A1Mag(c_s, s5, c_on)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5575, 4770, 5553])).
% 11.67/11.87 tff(5577,assumption,(~m_state_v_angle(c_s, s3, c_arm1totable)), introduced(assumption)).
% 11.67/11.87 tff(5578,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~node37(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node37(c_s, s3)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5579,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~node37(c_s, s3)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5580,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node37(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node37(c_s, s3))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 11.67/11.87 tff(5581,plain,
% 11.67/11.87 (~node37(c_s, s3)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5580, 5359, 5577])).
% 11.67/11.87 tff(5582,plain,
% 11.67/11.87 (node41(c_s, s3, s4)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[4724, 5581, 4713, 4685, 4660])).
% 11.67/11.87 tff(5583,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5584,plain,
% 11.67/11.87 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable))) <=> ((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5585,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4))))),
% 11.67/11.87 inference(monotonicity,[status(thm)],[5584])).
% 11.67/11.87 tff(5586,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.67/11.87 inference(transitivity,[status(thm)],[5585, 5583])).
% 11.67/11.87 tff(5587,plain,
% 11.67/11.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5588,plain,
% 11.67/11.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node41(c_s, s3, s4))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 11.67/11.87 tff(5589,plain,
% 11.67/11.87 ($false),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5588, 340, 4800, 5577, 5582])).
% 11.67/11.87 tff(5590,plain,(m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable))), inference(lemma,lemma(discharge,[]))).
% 11.67/11.87 tff(5591,plain,
% 11.67/11.87 (m_state_v_angle(c_s, s3, c_arm1totable)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5590, 4800])).
% 11.67/11.87 tff(5592,assumption,(~m_state_v_A1M(c_s, s5, c_idle)), introduced(assumption)).
% 11.67/11.87 tff(5593,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5594,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5595,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s4)) | m_state_v_A1M(c_s, s4, c_idle)),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 11.67/11.87 tff(5596,plain,
% 11.67/11.87 (~node122(c_s, s4)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5595, 2582, 5034])).
% 11.67/11.87 tff(5597,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | ((~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5598,plain,
% 11.67/11.87 ((m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3))) <=> ((~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5599,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | ((~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid)))),
% 11.67/11.87 inference(monotonicity,[status(thm)],[5598])).
% 11.67/11.87 tff(5600,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 11.67/11.87 inference(transitivity,[status(thm)],[5599, 5597])).
% 11.67/11.87 tff(5601,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5602,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (~node54(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid)),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 11.67/11.87 tff(5603,plain,
% 11.67/11.87 (~node54(c_s, s3)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5602, 1835, 3571])).
% 11.67/11.87 tff(5604,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5605,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5606,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 11.67/11.87 tff(5607,plain,
% 11.67/11.87 (~node116(c_s, s2)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5606, 2943, 3614])).
% 11.67/11.87 tff(5608,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5609,plain,
% 11.67/11.87 (((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down))) <=> (m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5610,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2))))),
% 11.67/11.87 inference(monotonicity,[status(thm)],[5609])).
% 11.67/11.87 tff(5611,plain,
% 11.67/11.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2)))),
% 11.67/11.87 inference(transitivity,[status(thm)],[5610, 5608])).
% 11.67/11.87 tff(5612,plain,
% 11.67/11.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))),
% 11.67/11.87 inference(quant_inst,[status(thm)],[])).
% 11.67/11.87 tff(5613,plain,
% 11.67/11.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)) | (~node120(c_s, s1, s2))),
% 11.67/11.87 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 11.67/11.87 tff(5614,plain,
% 11.67/11.87 (~m_state_v_PM(c_s, s2, c_down)),
% 11.67/11.87 inference(unit_resolution,[status(thm)],[5613, 3041, 3048, 3165])).
% 11.67/11.87 tff(5615,plain,
% 11.67/11.87 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))),
% 11.67/11.87 inference(rewrite,[status(thm)],[])).
% 11.67/11.87 tff(5616,plain,
% 11.67/11.87 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5617,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 11.67/11.88 tff(5618,plain,
% 11.67/11.88 (~node119(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5617, 2976, 5614])).
% 11.67/11.88 tff(5619,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5620,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5621,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 11.67/11.88 tff(5622,plain,
% 11.67/11.88 (~node117(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5621, 2996, 3511])).
% 11.67/11.88 tff(5623,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node118(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node118(c_s, s2)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5624,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node118(c_s, s2)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5625,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node118(c_s, s2))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 11.67/11.88 tff(5626,plain,
% 11.67/11.88 (~node118(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5625, 3007, 3511])).
% 11.67/11.88 tff(5627,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5628,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5629,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 11.67/11.88 tff(5630,plain,
% 11.67/11.88 (~node114(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5629, 2932, 2766])).
% 11.67/11.88 tff(5631,plain,
% 11.67/11.88 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node115(J0, X))))),
% 11.67/11.88 inference(bind,[status(th)],[])).
% 11.67/11.88 tff(5632,plain,
% 11.67/11.88 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.67/11.88 inference(quant_intro,[status(thm)],[5631])).
% 11.67/11.88 tff(5633,plain,
% 11.67/11.88 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5634,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_4')).
% 11.67/11.88 tff(5635,plain,
% 11.67/11.88 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 11.67/11.88 tff(5636,plain,(
% 11.67/11.88 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.67/11.88 inference(skolemize,[status(sab)],[5635])).
% 11.67/11.88 tff(5637,plain,
% 11.67/11.88 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5636, 5632])).
% 11.67/11.88 tff(5638,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node115(c_s, s2)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node115(c_s, s2)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5639,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node115(c_s, s2)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5640,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node115(c_s, s2))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5639, 5638])).
% 11.67/11.88 tff(5641,plain,
% 11.67/11.88 (~node115(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5640, 5637, 2766])).
% 11.67/11.88 tff(5642,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5643,plain,
% 11.67/11.88 (((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5644,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3)))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5643])).
% 11.67/11.88 tff(5645,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5644, 5642])).
% 11.67/11.88 tff(5646,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5647,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s2, s3)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 11.67/11.88 tff(5648,plain,
% 11.67/11.88 (node121(c_s, s2, s3)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5647, 2918, 2915, 794])).
% 11.67/11.88 tff(5649,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5650,plain,
% 11.67/11.88 ((node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3))) <=> (node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5651,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2)))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5650])).
% 11.67/11.88 tff(5652,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5651, 5649])).
% 11.67/11.88 tff(5653,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5654,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | (~node121(c_s, s2, s3)) | node120(c_s, s2, s3) | node118(c_s, s2)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 11.67/11.88 tff(5655,plain,
% 11.67/11.88 (node114(c_s, s2) | node117(c_s, s2) | node115(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | node120(c_s, s2, s3) | node118(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5654, 3024, 5648])).
% 11.67/11.88 tff(5656,plain,
% 11.67/11.88 (node117(c_s, s2) | node119(c_s, s2) | node116(c_s, s2) | node120(c_s, s2, s3) | node118(c_s, s2)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5655, 5641, 5630])).
% 11.67/11.88 tff(5657,plain,
% 11.67/11.88 (node119(c_s, s2) | node116(c_s, s2) | node120(c_s, s2, s3)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5656, 5626, 5622])).
% 11.67/11.88 tff(5658,plain,
% 11.67/11.88 (node120(c_s, s2, s3)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5657, 5618, 5607])).
% 11.67/11.88 tff(5659,plain,
% 11.67/11.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5660,plain,
% 11.67/11.88 (((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up))) <=> (m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5661,plain,
% 11.67/11.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3))))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5660])).
% 11.67/11.88 tff(5662,plain,
% 11.67/11.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3)))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5661, 5659])).
% 11.67/11.88 tff(5663,plain,
% 11.67/11.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5664,plain,
% 11.67/11.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)) | (~node120(c_s, s2, s3))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5663, 5662])).
% 11.67/11.88 tff(5665,plain,
% 11.67/11.88 (~m_state_v_PM(c_s, s3, c_up)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5664, 3041, 3179, 5658])).
% 11.67/11.88 tff(5666,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5667,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5668,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 11.67/11.88 tff(5669,plain,
% 11.67/11.88 (~node53(c_s, s3)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5668, 1804, 5665])).
% 11.67/11.88 tff(5670,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5671,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5672,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 11.67/11.88 tff(5673,plain,
% 11.67/11.88 (node56(c_s, s3, s4)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5672, 28, 1770, 1179])).
% 11.67/11.88 tff(5674,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5675,plain,
% 11.67/11.88 ((node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4))) <=> (node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5676,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4)))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5675])).
% 11.67/11.88 tff(5677,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5676, 5674])).
% 11.67/11.88 tff(5678,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5679,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s3) | node53(c_s, s3) | (~node56(c_s, s3, s4)) | node55(c_s, s3, s4)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 11.67/11.88 tff(5680,plain,
% 11.67/11.88 (node54(c_s, s3) | node53(c_s, s3) | node55(c_s, s3, s4)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5679, 1852, 5673])).
% 11.67/11.88 tff(5681,plain,
% 11.67/11.88 (node55(c_s, s3, s4)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5680, 5669, 5603])).
% 11.67/11.88 tff(5682,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5683,plain,
% 11.67/11.88 ((m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4))) <=> ((~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5684,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4))))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5683])).
% 11.67/11.88 tff(5685,plain,
% 11.67/11.88 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5684, 5682])).
% 11.67/11.88 tff(5686,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5687,plain,
% 11.67/11.88 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s4)) | m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4))),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5686, 5685])).
% 11.67/11.88 tff(5688,plain,
% 11.67/11.88 (~m_state_v_midPosP(c_s, s4)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5687, 1880, 5681, 3621])).
% 11.67/11.88 tff(5689,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5690,plain,
% 11.67/11.88 ((m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4))) <=> ((~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5691,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4)))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5690])).
% 11.67/11.88 tff(5692,plain,
% 11.67/11.88 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5691, 5689])).
% 11.67/11.88 tff(5693,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5694,plain,
% 11.67/11.88 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s4)) | m_state_v_midPosP(c_s, s4)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 11.67/11.88 tff(5695,plain,
% 11.67/11.88 (~node123(c_s, s4)),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5694, 1894, 5688])).
% 11.67/11.88 tff(5696,assumption,(~node131(c_s, s4, s5)), introduced(assumption)).
% 11.67/11.88 tff(5697,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5698,plain,
% 11.67/11.88 (((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 11.67/11.88 inference(rewrite,[status(thm)],[])).
% 11.67/11.88 tff(5699,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5)))),
% 11.67/11.88 inference(monotonicity,[status(thm)],[5698])).
% 11.67/11.88 tff(5700,plain,
% 11.67/11.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 11.67/11.88 inference(transitivity,[status(thm)],[5699, 5697])).
% 11.67/11.88 tff(5701,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.67/11.88 inference(quant_inst,[status(thm)],[])).
% 11.67/11.88 tff(5702,plain,
% 11.67/11.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5)),
% 11.67/11.88 inference(modus_ponens,[status(thm)],[5701, 5700])).
% 11.67/11.88 tff(5703,plain,
% 11.67/11.88 ($false),
% 11.67/11.88 inference(unit_resolution,[status(thm)],[5702, 52, 1481, 4253, 5696])).
% 11.67/11.88 tff(5704,plain,(node131(c_s, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 11.67/11.88 tff(5705,plain,
% 11.67/11.88 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))))),
% 11.67/11.88 inference(bind,[status(th)],[])).
% 11.67/11.88 tff(5706,plain,
% 11.67/11.88 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5705])).
% 11.67/11.89 tff(5707,plain,
% 11.67/11.89 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5708,plain,
% 11.67/11.89 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X))), ((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X))), ((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)))), (((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))))), ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))), (((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))))),
% 11.67/11.89 inference(bind,[status(th)],[])).
% 11.67/11.89 tff(5709,plain,
% 11.67/11.89 (![Y: $i, X: $i, J0: $i] : ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5708])).
% 11.67/11.89 tff(5710,axiom,(![Y: $i, X: $i, J0: $i] : ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_47')).
% 11.67/11.89 tff(5711,plain,
% 11.67/11.89 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 11.67/11.89 tff(5712,plain,
% 11.67/11.89 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5711, 5707])).
% 11.67/11.89 tff(5713,plain,(
% 11.67/11.89 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(skolemize,[status(sab)],[5712])).
% 11.67/11.89 tff(5714,plain,
% 11.67/11.89 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5713, 5706])).
% 11.67/11.89 tff(5715,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5716,plain,
% 11.67/11.89 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5))) <=> ((~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5717,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))))),
% 11.67/11.89 inference(monotonicity,[status(thm)],[5716])).
% 11.67/11.89 tff(5718,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 11.67/11.89 inference(transitivity,[status(thm)],[5717, 5715])).
% 11.67/11.89 tff(5719,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5720,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 11.67/11.89 tff(5721,plain,
% 11.67/11.89 ((~m_state_v_A1M(c_s, s4, c_extend)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5720, 5714, 5704])).
% 11.67/11.89 tff(5722,plain,
% 11.67/11.89 ((~m_state_v_A1M(c_s, s4, c_extend)) | m_state_v_A1M(c_s, s5, c_idle) | node122(c_s, s4) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5721, 5695])).
% 11.67/11.89 tff(5723,plain,
% 11.67/11.89 (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5722, 4891, 5596])).
% 11.67/11.89 tff(5724,plain,
% 11.67/11.89 (~m_state_v_a1ext(c_s, s4, c_ot)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5723, 4800, 5592])).
% 11.67/11.89 tff(5725,plain,
% 11.67/11.89 ($false),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5552, 5724, 5591])).
% 11.67/11.89 tff(5726,plain,((~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_A1M(c_s, s5, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.67/11.89 tff(5727,plain,
% 11.67/11.89 (m_state_v_A1M(c_s, s5, c_idle)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5726, 4770])).
% 11.67/11.89 tff(5728,plain,
% 11.67/11.89 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))))),
% 11.67/11.89 inference(bind,[status(th)],[])).
% 11.67/11.89 tff(5729,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5728])).
% 11.67/11.89 tff(5730,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5731,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_2')).
% 11.67/11.89 tff(5732,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 11.67/11.89 tff(5733,plain,(
% 11.67/11.89 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.67/11.89 inference(skolemize,[status(sab)],[5732])).
% 11.67/11.89 tff(5734,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5733, 5729])).
% 11.67/11.89 tff(5735,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node122(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node122(c_s, s5)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5736,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node122(c_s, s5)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5737,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node122(c_s, s5))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 11.67/11.89 tff(5738,plain,
% 11.67/11.89 (~node122(c_s, s5)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5737, 5734, 4919])).
% 11.67/11.89 tff(5739,assumption,(m_state_v_A1M(c_s, s5, c_idle)), introduced(assumption)).
% 11.67/11.89 tff(5740,plain,
% 11.67/11.89 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5741,plain,
% 11.67/11.89 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5742,plain,
% 11.67/11.89 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5741, 5740])).
% 11.67/11.89 tff(5743,plain,
% 11.67/11.89 (~m_state_v_A1M(c_s, s5, c_extend)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5742, 875, 5739])).
% 11.67/11.89 tff(5744,plain,
% 11.67/11.89 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))))),
% 11.67/11.89 inference(bind,[status(th)],[])).
% 11.67/11.89 tff(5745,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5744])).
% 11.67/11.89 tff(5746,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5747,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_27')).
% 11.67/11.89 tff(5748,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 11.67/11.89 tff(5749,plain,(
% 11.67/11.89 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.67/11.89 inference(skolemize,[status(sab)],[5748])).
% 11.67/11.89 tff(5750,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5749, 5745])).
% 11.67/11.89 tff(5751,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node125(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node125(c_s, s5)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5752,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node125(c_s, s5)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5753,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node125(c_s, s5))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 11.67/11.89 tff(5754,plain,
% 11.67/11.89 (~node125(c_s, s5)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5753, 5750, 5743])).
% 11.67/11.89 tff(5755,assumption,(~node122(c_s, s5)), introduced(assumption)).
% 11.67/11.89 tff(5756,assumption,(m_state_v_A1Mag(c_s, s5, c_on)), introduced(assumption)).
% 11.67/11.89 tff(5757,assumption,(~m_state_v_A1M(c_s, s6, c_retract)), introduced(assumption)).
% 11.67/11.89 tff(5758,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5759,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5760,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 11.67/11.89 tff(5761,plain,
% 11.67/11.89 (~node124(c_s, s5)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5760, 1509, 5743])).
% 11.67/11.89 tff(5762,plain,
% 11.67/11.89 (m_state_v_a1ext(c_s, s5, c_ot)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[4913, 4800])).
% 11.67/11.89 tff(5763,plain,
% 11.67/11.89 (m_state_v_angle(c_s, s5, c_arm1totable)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[4810, 4800])).
% 11.67/11.89 tff(5764,plain,
% 11.67/11.89 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))))),
% 11.67/11.89 inference(bind,[status(th)],[])).
% 11.67/11.89 tff(5765,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5764])).
% 11.67/11.89 tff(5766,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5767,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_188')).
% 11.67/11.89 tff(5768,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 11.67/11.89 tff(5769,plain,(
% 11.67/11.89 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 11.67/11.89 inference(skolemize,[status(sab)],[5768])).
% 11.67/11.89 tff(5770,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5769, 5765])).
% 11.67/11.89 tff(5771,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5772,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5773,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 11.67/11.89 tff(5774,plain,
% 11.67/11.89 (~node160(c_s, s3)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5773, 5770, 3900])).
% 11.67/11.89 tff(5775,plain,
% 11.67/11.89 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))))),
% 11.67/11.89 inference(bind,[status(th)],[])).
% 11.67/11.89 tff(5776,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.67/11.89 inference(quant_intro,[status(thm)],[5775])).
% 11.67/11.89 tff(5777,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5778,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_191')).
% 11.67/11.89 tff(5779,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 11.67/11.89 tff(5780,plain,(
% 11.67/11.89 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.67/11.89 inference(skolemize,[status(sab)],[5779])).
% 11.67/11.89 tff(5781,plain,
% 11.67/11.89 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5780, 5776])).
% 11.67/11.89 tff(5782,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5783,plain,
% 11.67/11.89 ((m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3))) <=> ((~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5784,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)))),
% 11.67/11.89 inference(monotonicity,[status(thm)],[5783])).
% 11.67/11.89 tff(5785,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.67/11.89 inference(transitivity,[status(thm)],[5784, 5782])).
% 11.67/11.89 tff(5786,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5787,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5786, 5785])).
% 11.67/11.89 tff(5788,plain,
% 11.67/11.89 (~node161(c_s, s3)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5787, 5781, 2838])).
% 11.67/11.89 tff(5789,plain,
% 11.67/11.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5790,plain,
% 11.67/11.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5791,plain,
% 11.67/11.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4)),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 11.67/11.89 tff(5792,plain,
% 11.67/11.89 (node163(c_s, s3, s4)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5791, 52, 2701, 1179])).
% 11.67/11.89 tff(5793,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5794,plain,
% 11.67/11.89 ((node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4))) <=> (node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5795,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4))))),
% 11.67/11.89 inference(monotonicity,[status(thm)],[5794])).
% 11.67/11.89 tff(5796,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 11.67/11.89 inference(transitivity,[status(thm)],[5795, 5793])).
% 11.67/11.89 tff(5797,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5798,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 11.67/11.89 tff(5799,plain,
% 11.67/11.89 (node160(c_s, s3) | node161(c_s, s3) | node162(c_s, s3, s4)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5798, 2715, 5792])).
% 11.67/11.89 tff(5800,plain,
% 11.67/11.89 (node160(c_s, s3) | node162(c_s, s3, s4)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5799, 5788])).
% 11.67/11.89 tff(5801,plain,
% 11.67/11.89 (node162(c_s, s3, s4)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5800, 5774])).
% 11.67/11.89 tff(5802,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5803,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5804,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2))),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 11.67/11.89 tff(5805,plain,
% 11.67/11.89 (~node160(c_s, s2)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5804, 5770, 3733])).
% 11.67/11.89 tff(5806,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5807,plain,
% 11.67/11.89 ((m_state_v_A1M(c_s, s2, c_retract) | (~node161(c_s, s2))) <=> ((~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5808,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node161(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)))),
% 11.67/11.89 inference(monotonicity,[status(thm)],[5807])).
% 11.67/11.89 tff(5809,plain,
% 11.67/11.89 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node161(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.67/11.89 inference(transitivity,[status(thm)],[5808, 5806])).
% 11.67/11.89 tff(5810,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node161(c_s, s2)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5811,plain,
% 11.67/11.89 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 11.67/11.89 tff(5812,plain,
% 11.67/11.89 (~node161(c_s, s2)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5811, 5781, 2612])).
% 11.67/11.89 tff(5813,plain,
% 11.67/11.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5814,plain,
% 11.67/11.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5815,plain,
% 11.67/11.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3)),
% 11.67/11.89 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 11.67/11.89 tff(5816,plain,
% 11.67/11.89 (node163(c_s, s2, s3)),
% 11.67/11.89 inference(unit_resolution,[status(thm)],[5815, 52, 2701, 794])).
% 11.67/11.89 tff(5817,plain,
% 11.67/11.89 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))),
% 11.67/11.89 inference(rewrite,[status(thm)],[])).
% 11.67/11.89 tff(5818,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))),
% 11.67/11.89 inference(quant_inst,[status(thm)],[])).
% 11.67/11.89 tff(5819,plain,
% 11.67/11.89 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 11.67/11.90 tff(5820,plain,
% 11.67/11.90 (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5819, 2715, 5816])).
% 11.67/11.90 tff(5821,plain,
% 11.67/11.90 (node160(c_s, s2) | node162(c_s, s2, s3)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5820, 5812])).
% 11.67/11.90 tff(5822,plain,
% 11.67/11.90 (node162(c_s, s2, s3)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5821, 5805])).
% 11.67/11.90 tff(5823,assumption,(node162(c_s, s2, s3)), introduced(assumption)).
% 11.67/11.90 tff(5824,assumption,(~m_state_v_pl(c_s, s3)), introduced(assumption)).
% 11.67/11.90 tff(5825,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5826,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5827,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5826, 5825])).
% 11.67/11.90 tff(5828,plain,
% 11.67/11.90 ($false),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5827, 2758, 5824, 2766, 5823])).
% 11.67/11.90 tff(5829,plain,((~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 11.67/11.90 tff(5830,plain,
% 11.67/11.90 (m_state_v_pl(c_s, s3)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5829, 5822])).
% 11.67/11.90 tff(5831,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5832,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5833,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 11.67/11.90 tff(5834,plain,
% 11.67/11.90 (m_state_v_pl(c_s, s4)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5833, 2758, 5830, 5801])).
% 11.67/11.90 tff(5835,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5836,plain,
% 11.67/11.90 ((m_state_v_A1M(c_s, s4, c_retract) | (~node161(c_s, s4))) <=> ((~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5837,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node161(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)))),
% 11.67/11.90 inference(monotonicity,[status(thm)],[5836])).
% 11.67/11.90 tff(5838,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node161(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.67/11.90 inference(transitivity,[status(thm)],[5837, 5835])).
% 11.67/11.90 tff(5839,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s4, c_retract) | (~node161(c_s, s4)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5840,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 11.67/11.90 tff(5841,plain,
% 11.67/11.90 (~node161(c_s, s4)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5840, 5781, 3667])).
% 11.67/11.90 tff(5842,assumption,(~node150(c_s, s4)), introduced(assumption)).
% 11.67/11.90 tff(5843,assumption,(~node161(c_s, s4)), introduced(assumption)).
% 11.67/11.90 tff(5844,assumption,(m_state_v_pl(c_s, s4)), introduced(assumption)).
% 11.67/11.90 tff(5845,assumption,(node123(c_s, s5)), introduced(assumption)).
% 11.67/11.90 tff(5846,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node123(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node123(c_s, s5)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5847,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node123(c_s, s5)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5848,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node123(c_s, s5))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 11.67/11.90 tff(5849,plain,
% 11.67/11.90 (~m_state_v_pl(c_s, s5)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5848, 2773, 5845])).
% 11.67/11.90 tff(5850,assumption,(node162(c_s, s4, s5)), introduced(assumption)).
% 11.67/11.90 tff(5851,assumption,(~m_state_v_pl(c_s, s5)), introduced(assumption)).
% 11.67/11.90 tff(5852,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5853,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5854,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5853, 5852])).
% 11.67/11.90 tff(5855,plain,
% 11.67/11.90 ($false),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5854, 2758, 5851, 5844, 5850])).
% 11.67/11.90 tff(5856,plain,((~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5) | (~m_state_v_pl(c_s, s4))), inference(lemma,lemma(discharge,[]))).
% 11.67/11.90 tff(5857,plain,
% 11.67/11.90 (~node162(c_s, s4, s5)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5856, 5849, 5844])).
% 11.67/11.90 tff(5858,plain,
% 11.67/11.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5859,plain,
% 11.67/11.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5860,plain,
% 11.67/11.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 11.67/11.90 tff(5861,plain,
% 11.67/11.90 (node163(c_s, s4, s5)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5860, 52, 2701, 4253])).
% 11.67/11.90 tff(5862,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5863,plain,
% 11.67/11.90 ((node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))) <=> (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5864,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))))),
% 11.67/11.90 inference(monotonicity,[status(thm)],[5863])).
% 11.67/11.90 tff(5865,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 11.67/11.90 inference(transitivity,[status(thm)],[5864, 5862])).
% 11.67/11.90 tff(5866,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5867,plain,
% 11.67/11.90 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 11.67/11.90 tff(5868,plain,
% 11.67/11.90 (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5867, 2715, 5861])).
% 11.67/11.90 tff(5869,plain,
% 11.67/11.90 (node160(c_s, s4)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5868, 5857, 5843])).
% 11.67/11.90 tff(5870,plain,
% 11.67/11.90 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X))) <=> (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X))))),
% 11.67/11.90 inference(bind,[status(th)],[])).
% 11.67/11.90 tff(5871,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))),
% 11.67/11.90 inference(quant_intro,[status(thm)],[5870])).
% 11.67/11.90 tff(5872,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5873,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_189')).
% 11.67/11.90 tff(5874,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5873, 5872])).
% 11.67/11.90 tff(5875,plain,(
% 11.67/11.90 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))),
% 11.67/11.90 inference(skolemize,[status(sab)],[5874])).
% 11.67/11.90 tff(5876,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5875, 5871])).
% 11.67/11.90 tff(5877,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~node160(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5878,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5879,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_retracted) | (~node160(J0, X)))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~node160(c_s, s4))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 11.67/11.90 tff(5880,plain,
% 11.67/11.90 (m_state_v_a2ext(c_s, s4, c_retracted)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5879, 5876, 5869])).
% 11.67/11.90 tff(5881,plain,
% 11.67/11.90 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X))) <=> (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X))))),
% 11.67/11.90 inference(bind,[status(th)],[])).
% 11.67/11.90 tff(5882,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))),
% 11.67/11.90 inference(quant_intro,[status(thm)],[5881])).
% 11.67/11.90 tff(5883,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5884,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_15')).
% 11.67/11.90 tff(5885,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 11.67/11.90 tff(5886,plain,(
% 11.67/11.90 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))),
% 11.67/11.90 inference(skolemize,[status(sab)],[5885])).
% 11.67/11.90 tff(5887,plain,
% 11.67/11.90 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5886, 5882])).
% 11.67/11.90 tff(5888,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | ((~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5889,plain,
% 11.67/11.90 ((m_state_v_RRM(c_s, s5, c_idle) | (~node123(c_s, s5))) <=> ((~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5890,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (m_state_v_RRM(c_s, s5, c_idle) | (~node123(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | ((~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle)))),
% 11.67/11.90 inference(monotonicity,[status(thm)],[5889])).
% 11.67/11.90 tff(5891,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (m_state_v_RRM(c_s, s5, c_idle) | (~node123(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle))),
% 11.67/11.90 inference(transitivity,[status(thm)],[5890, 5888])).
% 11.67/11.90 tff(5892,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (m_state_v_RRM(c_s, s5, c_idle) | (~node123(c_s, s5)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5893,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node123(J0, X)))) | (~node123(c_s, s5)) | m_state_v_RRM(c_s, s5, c_idle)),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 11.67/11.90 tff(5894,plain,
% 11.67/11.90 (m_state_v_RRM(c_s, s5, c_idle)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5893, 5887, 5845])).
% 11.67/11.90 tff(5895,plain,
% 11.67/11.90 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s5, c_counterclock)) | (~m_state_v_RRM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s5, c_counterclock)) | (~m_state_v_RRM(c_s, s5, c_idle)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5896,plain,
% 11.67/11.90 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s5, c_counterclock)) | (~m_state_v_RRM(c_s, s5, c_idle)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5897,plain,
% 11.67/11.90 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s5, c_counterclock)) | (~m_state_v_RRM(c_s, s5, c_idle))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 11.67/11.90 tff(5898,plain,
% 11.67/11.90 (~m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5897, 251, 5894])).
% 11.67/11.90 tff(5899,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm2topress) | (~node160(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5900,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm2topress) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5901,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node160(c_s, s4))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 11.67/11.90 tff(5902,plain,
% 11.67/11.90 (m_state_v_angle(c_s, s4, c_arm2topress)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5901, 2684, 5869])).
% 11.67/11.90 tff(5903,plain,
% 11.67/11.90 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5904,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))),
% 11.67/11.90 inference(quant_inst,[status(thm)],[])).
% 11.67/11.90 tff(5905,plain,
% 11.67/11.90 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 11.67/11.90 tff(5906,plain,
% 11.67/11.90 (m_state_v_A2M(c_s, s4, c_retract)),
% 11.67/11.90 inference(unit_resolution,[status(thm)],[5905, 5770, 5869])).
% 11.67/11.90 tff(5907,plain,
% 11.67/11.90 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)))),
% 11.67/11.90 inference(bind,[status(th)],[])).
% 11.67/11.90 tff(5908,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(quant_intro,[status(thm)],[5907])).
% 11.67/11.90 tff(5909,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5910,plain,
% 11.67/11.90 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> ((~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X))), (((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) <=> (((~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))))), rewrite((((~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | (~m_state_v_A2M(J0, X, c_retract))) <=> ((~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X))), (((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) <=> ((~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)))), ((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X))), ((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)))), (((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> (((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | m_state_v_RRM(J0, Y, c_counterclock)))), rewrite((((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | m_state_v_RRM(J0, Y, c_counterclock))), (((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | m_state_v_RRM(J0, Y, c_counterclock)))), ((((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))), ((((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))))),
% 11.67/11.90 inference(bind,[status(th)],[])).
% 11.67/11.90 tff(5911,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : (((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(quant_intro,[status(thm)],[5910])).
% 11.67/11.90 tff(5912,axiom,(![Y: $i, X: $i, J0: $i] : (((((node150(J0, X) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_A2M(J0, X, c_retract))) | (~m_state_v_a2ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_178')).
% 11.67/11.90 tff(5913,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 11.67/11.90 tff(5914,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5913, 5909])).
% 11.67/11.90 tff(5915,plain,(
% 11.67/11.90 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(skolemize,[status(sab)],[5914])).
% 11.67/11.90 tff(5916,plain,
% 11.67/11.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 11.67/11.90 inference(modus_ponens,[status(thm)],[5915, 5908])).
% 11.67/11.90 tff(5917,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5918,plain,
% 11.67/11.90 (((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)) <=> ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5)))),
% 11.67/11.90 inference(rewrite,[status(thm)],[])).
% 11.67/11.90 tff(5919,plain,
% 11.67/11.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5))))),
% 11.67/11.91 inference(monotonicity,[status(thm)],[5918])).
% 11.67/11.91 tff(5920,plain,
% 11.67/11.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5)))),
% 11.67/11.91 inference(transitivity,[status(thm)],[5919, 5917])).
% 11.67/11.91 tff(5921,plain,
% 11.67/11.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 11.67/11.91 inference(quant_inst,[status(thm)],[])).
% 11.67/11.91 tff(5922,plain,
% 11.67/11.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm2topress)) | node150(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~node159(c_s, s4, s5))),
% 11.67/11.91 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 11.67/11.91 tff(5923,plain,
% 11.67/11.91 ((~m_state_v_a2ext(c_s, s4, c_retracted)) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | node150(c_s, s4) | (~m_state_v_A2M(c_s, s4, c_retract)) | m_state_v_RRM(c_s, s5, c_counterclock)),
% 11.67/11.91 inference(unit_resolution,[status(thm)],[5922, 5916, 4258])).
% 11.67/11.91 tff(5924,plain,
% 11.67/11.91 ($false),
% 11.67/11.91 inference(unit_resolution,[status(thm)],[5923, 5906, 5902, 5898, 5880, 5842])).
% 11.67/11.91 tff(5925,plain,((~node123(c_s, s5)) | node150(c_s, s4) | node161(c_s, s4) | (~m_state_v_pl(c_s, s4))), inference(lemma,lemma(discharge,[]))).
% 11.67/11.91 tff(5926,plain,
% 11.67/11.91 (~node123(c_s, s5)),
% 11.67/11.91 inference(unit_resolution,[status(thm)],[5925, 5841, 5834, 3688])).
% 11.67/11.91 tff(5927,plain,
% 11.67/11.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 11.67/11.91 inference(rewrite,[status(thm)],[])).
% 11.67/11.91 tff(5928,plain,
% 11.67/11.91 (((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 11.67/11.91 inference(rewrite,[status(thm)],[])).
% 11.67/11.91 tff(5929,plain,
% 11.67/11.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6)))),
% 11.67/11.91 inference(monotonicity,[status(thm)],[5928])).
% 11.67/11.91 tff(5930,plain,
% 11.67/11.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 11.67/11.91 inference(transitivity,[status(thm)],[5929, 5927])).
% 11.67/11.91 tff(5931,plain,
% 11.67/11.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.67/11.91 inference(quant_inst,[status(thm)],[])).
% 11.67/11.91 tff(5932,plain,
% 11.67/11.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6)),
% 11.67/11.91 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 11.67/11.91 tff(5933,plain,
% 11.67/11.91 (node131(c_s, s5, s6)),
% 11.67/11.91 inference(unit_resolution,[status(thm)],[5932, 52, 1481, 15])).
% 11.67/11.91 tff(5934,plain,
% 11.67/11.91 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)))),
% 11.67/11.91 inference(bind,[status(th)],[])).
% 11.67/11.91 tff(5935,plain,
% 11.67/11.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.67/11.91 inference(quant_intro,[status(thm)],[5934])).
% 11.67/11.91 tff(5936,plain,
% 11.67/11.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.67/11.91 inference(rewrite,[status(thm)],[])).
% 11.67/11.91 tff(5937,plain,
% 11.67/11.91 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))))),
% 11.75/11.91 inference(bind,[status(th)],[])).
% 11.75/11.91 tff(5938,plain,
% 11.75/11.91 (![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.75/11.91 inference(quant_intro,[status(thm)],[5937])).
% 11.75/11.91 tff(5939,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_49')).
% 11.75/11.91 tff(5940,plain,
% 11.75/11.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 11.75/11.91 tff(5941,plain,
% 11.75/11.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5940, 5936])).
% 11.75/11.91 tff(5942,plain,(
% 11.75/11.91 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.75/11.91 inference(skolemize,[status(sab)],[5941])).
% 11.75/11.91 tff(5943,plain,
% 11.75/11.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5942, 5935])).
% 11.75/11.91 tff(5944,plain,
% 11.75/11.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | (m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5945,plain,
% 11.75/11.91 (((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract)) <=> (m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5946,plain,
% 11.75/11.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | (m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6))))),
% 11.75/11.91 inference(monotonicity,[status(thm)],[5945])).
% 11.75/11.91 tff(5947,plain,
% 11.75/11.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6)))),
% 11.75/11.91 inference(transitivity,[status(thm)],[5946, 5944])).
% 11.75/11.91 tff(5948,plain,
% 11.75/11.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))),
% 11.75/11.91 inference(quant_inst,[status(thm)],[])).
% 11.75/11.91 tff(5949,plain,
% 11.75/11.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node131(c_s, s5, s6))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 11.75/11.91 tff(5950,plain,
% 11.75/11.91 (m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node123(c_s, s5) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable))),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5949, 5943, 5933])).
% 11.75/11.91 tff(5951,plain,
% 11.75/11.91 (m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_a1ext(c_s, s5, c_ot)) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_angle(c_s, s5, c_arm1totable))),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5950, 5926])).
% 11.75/11.91 tff(5952,plain,
% 11.75/11.91 ($false),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5951, 5763, 5762, 5739, 5761, 5757, 5756, 5755, 5754])).
% 11.75/11.91 tff(5953,plain,((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s5, c_idle)) | m_state_v_A1M(c_s, s6, c_retract) | (~m_state_v_A1Mag(c_s, s5, c_on)) | node122(c_s, s5)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.91 tff(5954,plain,
% 11.75/11.91 (m_state_v_A1M(c_s, s6, c_retract)),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5953, 5738, 5727, 4770, 5576])).
% 11.75/11.91 tff(5955,plain,
% 11.75/11.91 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5956,plain,
% 11.75/11.91 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))),
% 11.75/11.91 inference(quant_inst,[status(thm)],[])).
% 11.75/11.91 tff(5957,plain,
% 11.75/11.91 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 11.75/11.91 tff(5958,plain,
% 11.75/11.91 ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle))),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5957, 847])).
% 11.75/11.91 tff(5959,plain,
% 11.75/11.91 (~m_state_v_A1M(c_s, s6, c_idle)),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5958, 5954])).
% 11.75/11.91 tff(5960,plain,
% 11.75/11.91 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))))),
% 11.75/11.91 inference(bind,[status(th)],[])).
% 11.75/11.91 tff(5961,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.75/11.91 inference(quant_intro,[status(thm)],[5960])).
% 11.75/11.91 tff(5962,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5963,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_169')).
% 11.75/11.91 tff(5964,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 11.75/11.91 tff(5965,plain,(
% 11.75/11.91 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.75/11.91 inference(skolemize,[status(sab)],[5964])).
% 11.75/11.91 tff(5966,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5965, 5961])).
% 11.75/11.91 tff(5967,plain,
% 11.75/11.91 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node157(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node157(c_s, s6)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5968,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node157(c_s, s6)))),
% 11.75/11.91 inference(quant_inst,[status(thm)],[])).
% 11.75/11.91 tff(5969,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node157(c_s, s6))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 11.75/11.91 tff(5970,plain,
% 11.75/11.91 (~node157(c_s, s6)),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5969, 5966, 5959])).
% 11.75/11.91 tff(5971,plain,
% 11.75/11.91 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))))),
% 11.75/11.91 inference(bind,[status(th)],[])).
% 11.75/11.91 tff(5972,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 11.75/11.91 inference(quant_intro,[status(thm)],[5971])).
% 11.75/11.91 tff(5973,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5974,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_145')).
% 11.75/11.91 tff(5975,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 11.75/11.91 tff(5976,plain,(
% 11.75/11.91 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 11.75/11.91 inference(skolemize,[status(sab)],[5975])).
% 11.75/11.91 tff(5977,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5976, 5972])).
% 11.75/11.91 tff(5978,plain,
% 11.75/11.91 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node154(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node154(c_s, s6)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5979,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node154(c_s, s6)))),
% 11.75/11.91 inference(quant_inst,[status(thm)],[])).
% 11.75/11.91 tff(5980,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node154(c_s, s6))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 11.75/11.91 tff(5981,plain,
% 11.75/11.91 (~node154(c_s, s6)),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5980, 5977, 5959])).
% 11.75/11.91 tff(5982,plain,
% 11.75/11.91 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))))),
% 11.75/11.91 inference(bind,[status(th)],[])).
% 11.75/11.91 tff(5983,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 11.75/11.91 inference(quant_intro,[status(thm)],[5982])).
% 11.75/11.91 tff(5984,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5985,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_161')).
% 11.75/11.91 tff(5986,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 11.75/11.91 tff(5987,plain,(
% 11.75/11.91 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 11.75/11.91 inference(skolemize,[status(sab)],[5986])).
% 11.75/11.91 tff(5988,plain,
% 11.75/11.91 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5987, 5983])).
% 11.75/11.91 tff(5989,plain,
% 11.75/11.91 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node156(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node156(c_s, s6)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5990,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node156(c_s, s6)))),
% 11.75/11.91 inference(quant_inst,[status(thm)],[])).
% 11.75/11.91 tff(5991,plain,
% 11.75/11.91 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node156(c_s, s6))),
% 11.75/11.91 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 11.75/11.91 tff(5992,plain,
% 11.75/11.91 (~node156(c_s, s6)),
% 11.75/11.91 inference(unit_resolution,[status(thm)],[5991, 5988, 5959])).
% 11.75/11.91 tff(5993,assumption,(m_state_v_A2M(c_s, s6, c_retract)), introduced(assumption)).
% 11.75/11.91 tff(5994,plain,
% 11.75/11.91 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5995,plain,
% 11.75/11.91 (((~m_state_v_A2M(c_s, s6, c_retract)) | (~m_state_v_A2M(c_s, s6, c_idle))) <=> ((~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.91 inference(rewrite,[status(thm)],[])).
% 11.75/11.91 tff(5996,plain,
% 11.75/11.91 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | (~m_state_v_A2M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[5995])).
% 11.75/11.92 tff(5997,plain,
% 11.75/11.92 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | (~m_state_v_A2M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[5996, 5994])).
% 11.75/11.92 tff(5998,plain,
% 11.75/11.92 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | (~m_state_v_A2M(c_s, s6, c_idle)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(5999,plain,
% 11.75/11.92 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~m_state_v_A2M(c_s, s6, c_retract))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 11.75/11.92 tff(6000,plain,
% 11.75/11.92 (~m_state_v_A2M(c_s, s6, c_idle)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[5999, 535, 5993])).
% 11.75/11.92 tff(6001,assumption,(node140(c_s, s5, s6)), introduced(assumption)).
% 11.75/11.92 tff(6002,plain,
% 11.75/11.92 (~node139(c_s, s3)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[4230, 549, 4174])).
% 11.75/11.92 tff(6003,plain,
% 11.75/11.92 (node140(c_s, s3, s4)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[4226, 6002, 4172, 4171, 4170, 4169, 4051])).
% 11.75/11.92 tff(6004,assumption,(~node138(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6005,assumption,(~node133(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6006,assumption,(~node132(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6007,assumption,(~node134(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6008,assumption,(~node137(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6009,assumption,(~node136(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6010,assumption,(~node135(c_s, s4)), introduced(assumption)).
% 11.75/11.92 tff(6011,assumption,(~m_state_v_A2M(c_s, s5, c_idle)), introduced(assumption)).
% 11.75/11.92 tff(6012,plain,
% 11.75/11.92 (m_state_v_A2M(c_s, s4, c_idle)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[4202, 6003, 4192])).
% 11.75/11.92 tff(6013,assumption,(m_state_v_A2M(c_s, s4, c_idle)), introduced(assumption)).
% 11.75/11.92 tff(6014,assumption,(node140(c_s, s4, s5)), introduced(assumption)).
% 11.75/11.92 tff(6015,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6016,plain,
% 11.75/11.92 (((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle)) <=> (m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6017,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6016])).
% 11.75/11.92 tff(6018,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[6017, 6015])).
% 11.75/11.92 tff(6019,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6020,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle)) | (~node140(c_s, s4, s5))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 11.75/11.92 tff(6021,plain,
% 11.75/11.92 ($false),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6020, 211, 6014, 6011, 6013])).
% 11.75/11.92 tff(6022,plain,((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s5, c_idle) | (~m_state_v_A2M(c_s, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 11.75/11.92 tff(6023,plain,
% 11.75/11.92 (~node140(c_s, s4, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6022, 6012, 6011])).
% 11.75/11.92 tff(6024,plain,
% 11.75/11.92 (node139(c_s, s4)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[5060, 6023, 6010, 6009, 6008, 6007, 6006, 6005, 6004])).
% 11.75/11.92 tff(6025,plain,
% 11.75/11.92 (m_state_v_A2M(c_s, s4, c_retract)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[5048, 549, 6024])).
% 11.75/11.92 tff(6026,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6027,plain,
% 11.75/11.92 (((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract))) <=> (m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6028,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6027])).
% 11.75/11.92 tff(6029,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[6028, 6026])).
% 11.75/11.92 tff(6030,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6031,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)) | (~node140(c_s, s3, s4))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 11.75/11.92 tff(6032,plain,
% 11.75/11.92 ($false),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6031, 3717, 6025, 4174, 6003])).
% 11.75/11.92 tff(6033,plain,(m_state_v_A2M(c_s, s3, c_retract) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node134(c_s, s4) | node132(c_s, s4) | node133(c_s, s4) | node138(c_s, s4) | m_state_v_A2M(c_s, s5, c_idle) | node134(c_s, s3) | node138(c_s, s3) | node132(c_s, s3) | m_state_v_A2M(c_s, s3, c_extend)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.92 tff(6034,plain,
% 11.75/11.92 (m_state_v_A2M(c_s, s5, c_idle)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6033, 4945, 1150, 3900, 4025, 4949, 4991, 5023, 5041, 4039, 4014, 5045, 5027])).
% 11.75/11.92 tff(6035,assumption,(~m_state_v_A2M(c_s, s6, c_idle)), introduced(assumption)).
% 11.75/11.92 tff(6036,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6037,plain,
% 11.75/11.92 (((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle)) <=> (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6038,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6037])).
% 11.75/11.92 tff(6039,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[6038, 6036])).
% 11.75/11.92 tff(6040,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6041,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 11.75/11.92 tff(6042,plain,
% 11.75/11.92 ($false),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6041, 211, 6035, 6034, 6001])).
% 11.75/11.92 tff(6043,plain,((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.92 tff(6044,plain,
% 11.75/11.92 (~node140(c_s, s5, s6)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6043, 6000])).
% 11.75/11.92 tff(6045,plain,
% 11.75/11.92 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node139(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node139(c_s, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6046,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node139(c_s, s5)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6047,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node139(c_s, s5))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 11.75/11.92 tff(6048,plain,
% 11.75/11.92 (~node139(c_s, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6047, 549, 5068])).
% 11.75/11.92 tff(6049,plain,
% 11.75/11.92 (~m_state_v_A2M(c_s, s4, c_retract)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[4236, 535, 6013])).
% 11.75/11.92 tff(6050,assumption,(~node35(c_s, s4, s5)), introduced(assumption)).
% 11.75/11.92 tff(6051,plain,
% 11.75/11.92 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s4, c_extend)) | (~m_state_v_A2M(c_s, s4, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s4, c_extend)) | (~m_state_v_A2M(c_s, s4, c_idle)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6052,plain,
% 11.75/11.92 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s4, c_extend)) | (~m_state_v_A2M(c_s, s4, c_idle)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6053,plain,
% 11.75/11.92 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s4, c_extend)) | (~m_state_v_A2M(c_s, s4, c_idle))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 11.75/11.92 tff(6054,plain,
% 11.75/11.92 (~m_state_v_A2M(c_s, s4, c_extend)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6053, 670, 6013])).
% 11.75/11.92 tff(6055,plain,
% 11.75/11.92 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6056,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6057,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend)),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 11.75/11.92 tff(6058,plain,
% 11.75/11.92 (~node33(c_s, s4)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6057, 684, 6054])).
% 11.75/11.92 tff(6059,plain,
% 11.75/11.92 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6060,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6061,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6060, 6059])).
% 11.75/11.92 tff(6062,plain,
% 11.75/11.92 (~node34(c_s, s4)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6061, 4077, 6054])).
% 11.75/11.92 tff(6063,plain,
% 11.75/11.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6064,plain,
% 11.75/11.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6065,plain,
% 11.75/11.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5)),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 11.75/11.92 tff(6066,plain,
% 11.75/11.92 (node36(c_s, s4, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6065, 28, 575, 4253])).
% 11.75/11.92 tff(6067,plain,
% 11.75/11.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6068,plain,
% 11.75/11.92 ((m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5))) <=> (m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6069,plain,
% 11.75/11.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6068])).
% 11.75/11.92 tff(6070,plain,
% 11.75/11.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[6069, 6067])).
% 11.75/11.92 tff(6071,plain,
% 11.75/11.92 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6072,plain,
% 11.75/11.92 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 11.75/11.92 tff(6073,plain,
% 11.75/11.92 (m_state_v_A2M(c_s, s4, c_retract) | node33(c_s, s4) | node34(c_s, s4) | node35(c_s, s4, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6072, 632, 6066])).
% 11.75/11.92 tff(6074,plain,
% 11.75/11.92 ($false),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6073, 6062, 6058, 6050, 6049])).
% 11.75/11.92 tff(6075,plain,((~m_state_v_A2M(c_s, s4, c_idle)) | node35(c_s, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.92 tff(6076,plain,
% 11.75/11.92 (node35(c_s, s4, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6075, 4233])).
% 11.75/11.92 tff(6077,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6078,plain,
% 11.75/11.92 (((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip))) <=> ((~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6079,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6078])).
% 11.75/11.92 tff(6080,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)))),
% 11.75/11.92 inference(transitivity,[status(thm)],[6079, 6077])).
% 11.75/11.92 tff(6081,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6082,plain,
% 11.75/11.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s5, c_a2ip)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 11.75/11.92 tff(6083,plain,
% 11.75/11.92 (~m_state_v_a2ext(c_s, s5, c_a2ip)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6082, 5005, 5012, 6076])).
% 11.75/11.92 tff(6084,plain,
% 11.75/11.92 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node136(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node136(c_s, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6085,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node136(c_s, s5)))),
% 11.75/11.92 inference(quant_inst,[status(thm)],[])).
% 11.75/11.92 tff(6086,plain,
% 11.75/11.92 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node136(c_s, s5))),
% 11.75/11.92 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 11.75/11.92 tff(6087,plain,
% 11.75/11.92 (~node136(c_s, s5)),
% 11.75/11.92 inference(unit_resolution,[status(thm)],[6086, 5019, 6083])).
% 11.75/11.92 tff(6088,assumption,(node35(c_s, s4, s5)), introduced(assumption)).
% 11.75/11.92 tff(6089,assumption,(~m_state_v_a2ext(c_s, s5, c_retracted)), introduced(assumption)).
% 11.75/11.92 tff(6090,assumption,(m_state_v_a2ext(c_s, s4, c_retracted)), introduced(assumption)).
% 11.75/11.92 tff(6091,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6092,plain,
% 11.75/11.92 (((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5)))),
% 11.75/11.92 inference(rewrite,[status(thm)],[])).
% 11.75/11.92 tff(6093,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5))))),
% 11.75/11.92 inference(monotonicity,[status(thm)],[6092])).
% 11.75/11.92 tff(6094,plain,
% 11.75/11.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5)))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6093, 6091])).
% 11.75/11.93 tff(6095,plain,
% 11.75/11.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6096,plain,
% 11.75/11.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6095, 6094])).
% 11.75/11.93 tff(6097,plain,
% 11.75/11.93 ($false),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6096, 708, 6090, 6089, 6088])).
% 11.75/11.93 tff(6098,plain,((~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted) | (~node35(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 11.75/11.93 tff(6099,plain,
% 11.75/11.93 (m_state_v_a2ext(c_s, s5, c_retracted)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6098, 6076, 4982])).
% 11.75/11.93 tff(6100,plain,
% 11.75/11.93 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s5, c_ob)) | (~m_state_v_a2ext(c_s, s5, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~m_state_v_a2ext(c_s, s5, c_retracted)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6101,plain,
% 11.75/11.93 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s5, c_ob)) | (~m_state_v_a2ext(c_s, s5, c_retracted)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6102,plain,
% 11.75/11.93 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~m_state_v_a2ext(c_s, s5, c_retracted))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 11.75/11.93 tff(6103,plain,
% 11.75/11.93 (~m_state_v_a2ext(c_s, s5, c_ob)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6102, 732, 6099])).
% 11.75/11.93 tff(6104,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6105,plain,
% 11.75/11.93 ((m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5))) <=> ((~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6106,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)))),
% 11.75/11.93 inference(monotonicity,[status(thm)],[6105])).
% 11.75/11.93 tff(6107,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6106, 6104])).
% 11.75/11.93 tff(6108,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6109,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 11.75/11.93 tff(6110,plain,
% 11.75/11.93 (~node137(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6109, 757, 6103])).
% 11.75/11.93 tff(6111,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node138(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node138(c_s, s5)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6112,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node138(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6113,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node138(c_s, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6112, 6111])).
% 11.75/11.93 tff(6114,plain,
% 11.75/11.93 (~node138(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6113, 560, 5068])).
% 11.75/11.93 tff(6115,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6116,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6117,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 11.75/11.93 tff(6118,plain,
% 11.75/11.93 (~node133(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6117, 493, 5124])).
% 11.75/11.93 tff(6119,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6120,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6121,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 11.75/11.93 tff(6122,plain,
% 11.75/11.93 (~node134(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6121, 782, 6083])).
% 11.75/11.93 tff(6123,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6124,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6125,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 11.75/11.93 tff(6126,plain,
% 11.75/11.93 (~node135(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6125, 746, 6103])).
% 11.75/11.93 tff(6127,plain,
% 11.75/11.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6128,plain,
% 11.75/11.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6129,plain,
% 11.75/11.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 11.75/11.93 tff(6130,plain,
% 11.75/11.93 (node141(c_s, s5, s6)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6129, 52, 49, 15])).
% 11.75/11.93 tff(6131,plain,
% 11.75/11.93 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6132,plain,
% 11.75/11.93 ((node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))) <=> (node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6133,plain,
% 11.75/11.93 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))))),
% 11.75/11.93 inference(monotonicity,[status(thm)],[6132])).
% 11.75/11.93 tff(6134,plain,
% 11.75/11.93 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6133, 6131])).
% 11.75/11.93 tff(6135,plain,
% 11.75/11.93 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6136,plain,
% 11.75/11.93 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 11.75/11.93 tff(6137,plain,
% 11.75/11.93 (node133(c_s, s5) | node132(c_s, s5) | node135(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node138(c_s, s5) | node137(c_s, s5) | node136(c_s, s5) | node140(c_s, s5, s6)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6136, 185, 6130])).
% 11.75/11.93 tff(6138,plain,
% 11.75/11.93 (node132(c_s, s5) | node140(c_s, s5, s6)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6137, 6126, 6122, 6118, 6114, 6110, 6087, 6048])).
% 11.75/11.93 tff(6139,plain,
% 11.75/11.93 (node132(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6138, 6044])).
% 11.75/11.93 tff(6140,plain,
% 11.75/11.93 (^[X: $i, J0: $i] : refl((m_state_v_botPosP(J0, X) | (~node132(J0, X))) <=> (m_state_v_botPosP(J0, X) | (~node132(J0, X))))),
% 11.75/11.93 inference(bind,[status(th)],[])).
% 11.75/11.93 tff(6141,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))),
% 11.75/11.93 inference(quant_intro,[status(thm)],[6140])).
% 11.75/11.93 tff(6142,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6143,axiom,(![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_63')).
% 11.75/11.93 tff(6144,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 11.75/11.93 tff(6145,plain,(
% 11.75/11.93 ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))),
% 11.75/11.93 inference(skolemize,[status(sab)],[6144])).
% 11.75/11.93 tff(6146,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6145, 6141])).
% 11.75/11.93 tff(6147,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | ((~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6148,plain,
% 11.75/11.93 ((m_state_v_botPosP(c_s, s5) | (~node132(c_s, s5))) <=> ((~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6149,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (m_state_v_botPosP(c_s, s5) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | ((~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5)))),
% 11.75/11.93 inference(monotonicity,[status(thm)],[6148])).
% 11.75/11.93 tff(6150,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (m_state_v_botPosP(c_s, s5) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6149, 6147])).
% 11.75/11.93 tff(6151,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (m_state_v_botPosP(c_s, s5) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6152,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_botPosP(c_s, s5)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 11.75/11.93 tff(6153,plain,
% 11.75/11.93 (m_state_v_botPosP(c_s, s5)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6152, 6146, 6139])).
% 11.75/11.93 tff(6154,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6155,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6156,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 11.75/11.93 tff(6157,plain,
% 11.75/11.93 (m_state_v_angle(c_s, s5, c_arm2topress)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6156, 83, 6139])).
% 11.75/11.93 tff(6158,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6159,plain,
% 11.75/11.93 ((m_state_v_A1M(c_s, s5, c_idle) | (~node132(c_s, s5))) <=> ((~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6160,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s5, c_idle) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle)))),
% 11.75/11.93 inference(monotonicity,[status(thm)],[6159])).
% 11.75/11.93 tff(6161,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s5, c_idle) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6160, 6158])).
% 11.75/11.93 tff(6162,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s5, c_idle) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6163,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s5)) | m_state_v_A1M(c_s, s5, c_idle)),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 11.75/11.93 tff(6164,plain,
% 11.75/11.93 (m_state_v_A1M(c_s, s5, c_idle)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6163, 4032, 6139])).
% 11.75/11.93 tff(6165,plain,
% 11.75/11.93 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6166,plain,
% 11.75/11.93 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6167,plain,
% 11.75/11.93 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_retract)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_retract))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 11.75/11.93 tff(6168,plain,
% 11.75/11.93 (~m_state_v_A2M(c_s, s6, c_extend)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6167, 4116, 5993])).
% 11.75/11.93 tff(6169,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s5, c_on) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6170,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6171,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s5, c_on) | (~node132(c_s, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 11.75/11.93 tff(6172,plain,
% 11.75/11.93 (m_state_v_A1Mag(c_s, s5, c_on)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6171, 1090, 6139])).
% 11.75/11.93 tff(6173,plain,
% 11.75/11.93 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_idle) | (~node132(J0, X))) <=> (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X))))),
% 11.75/11.93 inference(bind,[status(th)],[])).
% 11.75/11.93 tff(6174,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))),
% 11.75/11.93 inference(quant_intro,[status(thm)],[6173])).
% 11.75/11.93 tff(6175,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6176,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_64')).
% 11.75/11.93 tff(6177,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 11.75/11.93 tff(6178,plain,(
% 11.75/11.93 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))),
% 11.75/11.93 inference(skolemize,[status(sab)],[6177])).
% 11.75/11.93 tff(6179,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6178, 6174])).
% 11.75/11.93 tff(6180,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_PM(c_s, s5, c_idle) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))) | m_state_v_PM(c_s, s5, c_idle) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6181,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_PM(c_s, s5, c_idle) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6182,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node132(J0, X)))) | m_state_v_PM(c_s, s5, c_idle) | (~node132(c_s, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 11.75/11.93 tff(6183,plain,
% 11.75/11.93 (m_state_v_PM(c_s, s5, c_idle)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6182, 6179, 6139])).
% 11.75/11.93 tff(6184,plain,
% 11.75/11.93 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))))),
% 11.75/11.93 inference(bind,[status(th)],[])).
% 11.75/11.93 tff(6185,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 11.75/11.93 inference(quant_intro,[status(thm)],[6184])).
% 11.75/11.93 tff(6186,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6187,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_56')).
% 11.75/11.93 tff(6188,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 11.75/11.93 tff(6189,plain,(
% 11.75/11.93 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 11.75/11.93 inference(skolemize,[status(sab)],[6188])).
% 11.75/11.93 tff(6190,plain,
% 11.75/11.93 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6189, 6185])).
% 11.75/11.93 tff(6191,plain,
% 11.75/11.93 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6192,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node132(c_s, s5)))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6193,plain,
% 11.75/11.93 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node132(c_s, s5))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 11.75/11.93 tff(6194,plain,
% 11.75/11.93 (m_state_v_a1ext(c_s, s5, c_retracted)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6193, 6190, 6139])).
% 11.75/11.93 tff(6195,assumption,(node148(c_s, s3, s4)), introduced(assumption)).
% 11.75/11.93 tff(6196,assumption,(node148(c_s, s2, s3)), introduced(assumption)).
% 11.75/11.93 tff(6197,assumption,(~m_state_v_A2Mag(c_s, s3, c_off)), introduced(assumption)).
% 11.75/11.93 tff(6198,plain,
% 11.75/11.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6199,plain,
% 11.75/11.93 (((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off)) <=> ((~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6200,plain,
% 11.75/11.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3))))),
% 11.75/11.93 inference(monotonicity,[status(thm)],[6199])).
% 11.75/11.93 tff(6201,plain,
% 11.75/11.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3)))),
% 11.75/11.93 inference(transitivity,[status(thm)],[6200, 6198])).
% 11.75/11.93 tff(6202,plain,
% 11.75/11.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))),
% 11.75/11.93 inference(quant_inst,[status(thm)],[])).
% 11.75/11.93 tff(6203,plain,
% 11.75/11.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off) | (~node148(c_s, s2, s3))),
% 11.75/11.93 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 11.75/11.93 tff(6204,plain,
% 11.75/11.93 ($false),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6203, 2535, 2549, 6197, 6196])).
% 11.75/11.93 tff(6205,plain,((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s3, c_off)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.93 tff(6206,plain,
% 11.75/11.93 (m_state_v_A2Mag(c_s, s3, c_off)),
% 11.75/11.93 inference(unit_resolution,[status(thm)],[6205, 1225])).
% 11.75/11.93 tff(6207,assumption,(~m_state_v_A2Mag(c_s, s4, c_off)), introduced(assumption)).
% 11.75/11.93 tff(6208,plain,
% 11.75/11.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6209,plain,
% 11.75/11.93 (((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off)) <=> (m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4)))),
% 11.75/11.93 inference(rewrite,[status(thm)],[])).
% 11.75/11.93 tff(6210,plain,
% 11.75/11.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4))))),
% 11.75/11.94 inference(monotonicity,[status(thm)],[6209])).
% 11.75/11.94 tff(6211,plain,
% 11.75/11.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4)))),
% 11.75/11.94 inference(transitivity,[status(thm)],[6210, 6208])).
% 11.75/11.94 tff(6212,plain,
% 11.75/11.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))),
% 11.75/11.94 inference(quant_inst,[status(thm)],[])).
% 11.75/11.94 tff(6213,plain,
% 11.75/11.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s4, c_off) | (~m_state_v_A2Mag(c_s, s3, c_off)) | (~node148(c_s, s3, s4))),
% 11.75/11.94 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 11.75/11.94 tff(6214,plain,
% 11.75/11.94 ($false),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[6213, 2535, 6207, 6206, 6195])).
% 11.75/11.94 tff(6215,plain,((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s4, c_off)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.94 tff(6216,plain,
% 11.75/11.94 (m_state_v_A2Mag(c_s, s4, c_off)),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[6215, 1191])).
% 11.75/11.94 tff(6217,plain,
% 11.75/11.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5)))),
% 11.75/11.94 inference(rewrite,[status(thm)],[])).
% 11.75/11.94 tff(6218,plain,
% 11.75/11.94 (((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off)) <=> (m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5)))),
% 11.75/11.94 inference(rewrite,[status(thm)],[])).
% 11.75/11.94 tff(6219,plain,
% 11.75/11.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5))))),
% 11.75/11.94 inference(monotonicity,[status(thm)],[6218])).
% 11.75/11.94 tff(6220,plain,
% 11.75/11.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5)))),
% 11.75/11.94 inference(transitivity,[status(thm)],[6219, 6217])).
% 11.75/11.94 tff(6221,plain,
% 11.75/11.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))),
% 11.75/11.94 inference(quant_inst,[status(thm)],[])).
% 11.75/11.94 tff(6222,plain,
% 11.75/11.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s5, c_off) | (~m_state_v_A2Mag(c_s, s4, c_off)) | (~node148(c_s, s4, s5))),
% 11.75/11.94 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 11.75/11.94 tff(6223,plain,
% 11.75/11.94 (m_state_v_A2Mag(c_s, s5, c_off)),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[6222, 2535, 6216, 5117])).
% 11.75/11.94 tff(6224,plain,
% 11.75/11.94 (~node160(c_s, s4)),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[5905, 5770, 4237])).
% 11.75/11.94 tff(6225,plain,
% 11.75/11.94 (node162(c_s, s4, s5)),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[5868, 5841, 6224])).
% 11.75/11.94 tff(6226,plain,
% 11.75/11.94 (m_state_v_pl(c_s, s5)),
% 11.75/11.94 inference(unit_resolution,[status(thm)],[5856, 6225, 5834])).
% 11.75/11.94 tff(6227,plain,
% 11.75/11.94 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend)))),
% 11.75/11.94 inference(bind,[status(th)],[])).
% 11.75/11.94 tff(6228,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(quant_intro,[status(thm)],[6227])).
% 11.75/11.94 tff(6229,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(rewrite,[status(thm)],[])).
% 11.75/11.94 tff(6230,plain,
% 11.75/11.94 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)))), ((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)))), ((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress))))), (((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_RRM(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)))), (((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle))))), ((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), ((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), (((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), (((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), ((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_botPosP(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), ((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), (((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_PM(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), (((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), ((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_pl(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_pl(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), ((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), (((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A2M(J0, Y, c_extend)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A2M(J0, Y, c_extend)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A2M(J0, Y, c_extend))), (((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A2M(J0, Y, c_extend)))), ((((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))), ((((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))))),
% 11.75/11.94 inference(bind,[status(th)],[])).
% 11.75/11.94 tff(6231,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(quant_intro,[status(thm)],[6230])).
% 11.75/11.94 tff(6232,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | (~m_state_v_pl(J0, X))) | m_state_v_A2M(J0, Y, c_extend)) | (~node141(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_97')).
% 11.75/11.94 tff(6233,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 11.75/11.94 tff(6234,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(modus_ponens,[status(thm)],[6233, 6229])).
% 11.75/11.94 tff(6235,plain,(
% 11.75/11.94 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(skolemize,[status(sab)],[6234])).
% 11.75/11.94 tff(6236,plain,
% 11.75/11.94 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))),
% 11.75/11.94 inference(modus_ponens,[status(thm)],[6235, 6228])).
% 11.75/11.94 tff(6237,plain,
% 11.75/11.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6)))),
% 11.75/11.94 inference(rewrite,[status(thm)],[])).
% 11.75/11.94 tff(6238,plain,
% 11.75/11.94 (((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node141(c_s, s5, s6)) | m_state_v_A2M(c_s, s6, c_extend)) <=> ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6)))),
% 11.75/11.94 inference(rewrite,[status(thm)],[])).
% 11.75/11.94 tff(6239,plain,
% 11.75/11.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node141(c_s, s5, s6)) | m_state_v_A2M(c_s, s6, c_extend))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6))))),
% 11.75/11.94 inference(monotonicity,[status(thm)],[6238])).
% 11.75/11.94 tff(6240,plain,
% 11.75/11.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node141(c_s, s5, s6)) | m_state_v_A2M(c_s, s6, c_extend))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6)))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6239, 6237])).
% 11.75/11.95 tff(6241,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node141(c_s, s5, s6)) | m_state_v_A2M(c_s, s6, c_extend))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6242,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node141(c_s, s5, s6))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 11.75/11.95 tff(6243,plain,
% 11.75/11.95 ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~m_state_v_pl(c_s, s5)) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~m_state_v_RRM(c_s, s5, c_idle))),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6242, 6236, 6130])).
% 11.75/11.95 tff(6244,plain,
% 11.75/11.95 ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_PM(c_s, s5, c_idle)) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_botPosP(c_s, s5)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6243, 6226, 6223, 6034, 6099, 4844])).
% 11.75/11.95 tff(6245,plain,
% 11.75/11.95 ($false),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6244, 6194, 6183, 6172, 6168, 6164, 6157, 6153])).
% 11.75/11.95 tff(6246,plain,(~m_state_v_A2M(c_s, s6, c_retract)), inference(lemma,lemma(discharge,[]))).
% 11.75/11.95 tff(6247,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6248,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6249,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 11.75/11.95 tff(6250,plain,
% 11.75/11.95 (~node151(c_s, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6249, 3740, 6246])).
% 11.75/11.95 tff(6251,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | ((~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6252,plain,
% 11.75/11.95 ((m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6))) <=> ((~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6253,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | ((~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract)))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6252])).
% 11.75/11.95 tff(6254,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6253, 6251])).
% 11.75/11.95 tff(6255,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6256,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 11.75/11.95 tff(6257,plain,
% 11.75/11.95 ((~node152(c_s, s6)) | m_state_v_A2M(c_s, s6, c_retract)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6256, 3939])).
% 11.75/11.95 tff(6258,plain,
% 11.75/11.95 (~node152(c_s, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6257, 6246])).
% 11.75/11.95 tff(6259,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6260,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6261,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 11.75/11.95 tff(6262,plain,
% 11.75/11.95 (~node146(c_s, s5)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6261, 1198, 6083])).
% 11.75/11.95 tff(6263,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | ((~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6264,plain,
% 11.75/11.95 ((m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5))) <=> ((~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6265,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | ((~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6264])).
% 11.75/11.95 tff(6266,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6265, 6263])).
% 11.75/11.95 tff(6267,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6268,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (~node147(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 11.75/11.95 tff(6269,plain,
% 11.75/11.95 (~node147(c_s, s5)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6268, 1209, 6103])).
% 11.75/11.95 tff(6270,plain,
% 11.75/11.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6271,plain,
% 11.75/11.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6272,plain,
% 11.75/11.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 11.75/11.95 tff(6273,plain,
% 11.75/11.95 (node149(c_s, s5, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6272, 52, 388, 15])).
% 11.75/11.95 tff(6274,plain,
% 11.75/11.95 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6275,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6276,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6275, 6274])).
% 11.75/11.95 tff(6277,plain,
% 11.75/11.95 (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6276, 424, 6273])).
% 11.75/11.95 tff(6278,plain,
% 11.75/11.95 (node148(c_s, s5, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6277, 6269, 6262])).
% 11.75/11.95 tff(6279,plain,
% 11.75/11.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6280,plain,
% 11.75/11.95 (((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on))) <=> (m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6281,plain,
% 11.75/11.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6))))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6280])).
% 11.75/11.95 tff(6282,plain,
% 11.75/11.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6)))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6281, 6279])).
% 11.75/11.95 tff(6283,plain,
% 11.75/11.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6284,plain,
% 11.75/11.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)) | (~node148(c_s, s5, s6))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 11.75/11.95 tff(6285,plain,
% 11.75/11.95 (~m_state_v_A2Mag(c_s, s6, c_on)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6284, 464, 5124, 6278])).
% 11.75/11.95 tff(6286,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6287,plain,
% 11.75/11.95 ((m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6))) <=> ((~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6288,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6287])).
% 11.75/11.95 tff(6289,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6288, 6286])).
% 11.75/11.95 tff(6290,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6291,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 11.75/11.95 tff(6292,plain,
% 11.75/11.95 (~node155(c_s, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6291, 1246, 6285])).
% 11.75/11.95 tff(6293,plain,
% 11.75/11.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6294,plain,
% 11.75/11.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6295,plain,
% 11.75/11.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 11.75/11.95 tff(6296,plain,
% 11.75/11.95 (node159(c_s, s6, s7)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6295, 52, 1260, 5162])).
% 11.75/11.95 tff(6297,plain,
% 11.75/11.95 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6298,plain,
% 11.75/11.95 ((node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7))) <=> (node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6299,plain,
% 11.75/11.95 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7))))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6298])).
% 11.75/11.95 tff(6300,plain,
% 11.75/11.95 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6299, 6297])).
% 11.75/11.95 tff(6301,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6302,plain,
% 11.75/11.95 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7))),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 11.75/11.95 tff(6303,plain,
% 11.75/11.95 (node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node155(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6302, 1376, 6296])).
% 11.75/11.95 tff(6304,plain,
% 11.75/11.95 (node152(c_s, s6) | node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node151(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6303, 6292])).
% 11.75/11.95 tff(6305,plain,
% 11.75/11.95 (node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node153(c_s, s6) | node150(c_s, s6) | node158(c_s, s6, s7)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6304, 6258, 6250])).
% 11.75/11.95 tff(6306,plain,
% 11.75/11.95 (node150(c_s, s6) | node158(c_s, s6, s7)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6305, 5992, 5981, 5970, 5540])).
% 11.75/11.95 tff(6307,plain,
% 11.75/11.95 (node150(c_s, s6)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6306, 5536])).
% 11.75/11.95 tff(6308,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6309,plain,
% 11.75/11.95 ((m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6))) <=> ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 11.75/11.95 inference(rewrite,[status(thm)],[])).
% 11.75/11.95 tff(6310,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)))),
% 11.75/11.95 inference(monotonicity,[status(thm)],[6309])).
% 11.75/11.95 tff(6311,plain,
% 11.75/11.95 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 11.75/11.95 inference(transitivity,[status(thm)],[6310, 6308])).
% 11.75/11.95 tff(6312,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))),
% 11.75/11.95 inference(quant_inst,[status(thm)],[])).
% 11.75/11.95 tff(6313,plain,
% 11.75/11.95 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 11.75/11.95 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 11.75/11.95 tff(6314,plain,
% 11.75/11.95 (m_state_v_a1ext(c_s, s6, c_retracted)),
% 11.75/11.95 inference(unit_resolution,[status(thm)],[6313, 4926, 6307])).
% 11.75/11.95 tff(6315,plain,
% 11.75/11.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6316,plain,
% 11.75/11.96 ((node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7))) <=> ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6317,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7)))),
% 11.75/11.96 inference(monotonicity,[status(thm)],[6316])).
% 11.75/11.96 tff(6318,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 11.75/11.96 inference(transitivity,[status(thm)],[6317, 6315])).
% 11.75/11.96 tff(6319,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6320,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7)),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 11.75/11.96 tff(6321,plain,
% 11.75/11.96 (node4(c_s, s6, s7)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6320, 2055, 2052, 5162])).
% 11.75/11.96 tff(6322,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6323,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6322])).
% 11.75/11.96 tff(6324,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6325,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_tl(J0, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_tl(J0, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> (((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~node4(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~node4(J0, X, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6326,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6325])).
% 11.75/11.96 tff(6327,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_9')).
% 11.75/11.96 tff(6328,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 11.75/11.96 tff(6329,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6328, 6324])).
% 11.75/11.96 tff(6330,plain,(
% 11.75/11.96 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6329])).
% 11.75/11.96 tff(6331,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6330, 6323])).
% 11.75/11.96 tff(6332,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6333,plain,
% 11.75/11.96 (((~m_state_v_tl(c_s, s7)) | (~node4(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable))) <=> ((~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6334,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s7)) | (~node4(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7))))),
% 11.75/11.96 inference(monotonicity,[status(thm)],[6333])).
% 11.75/11.96 tff(6335,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s7)) | (~node4(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7)))),
% 11.75/11.96 inference(transitivity,[status(thm)],[6334, 6332])).
% 11.75/11.96 tff(6336,plain,
% 11.75/11.96 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s7)) | (~node4(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6337,plain,
% 11.75/11.96 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node4(c_s, s6, s7))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6336, 6335])).
% 11.75/11.96 tff(6338,plain,
% 11.75/11.96 ((~m_state_v_tl(c_s, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6337, 6331, 6321])).
% 11.75/11.96 tff(6339,plain,
% 11.75/11.96 ((~m_state_v_tl(c_s, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6338, 5954, 4818])).
% 11.75/11.96 tff(6340,plain,
% 11.75/11.96 (~m_state_v_tl(c_s, s7)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6339, 6314])).
% 11.75/11.96 tff(6341,plain,
% 11.75/11.96 (^[X: $i, J0: $i] : refl(((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6342,plain,
% 11.75/11.96 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6341])).
% 11.75/11.96 tff(6343,plain,
% 11.75/11.96 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6344,plain,
% 11.75/11.96 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X))) <=> ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6345,plain,
% 11.75/11.96 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X))) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6344])).
% 11.75/11.96 tff(6346,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_3')).
% 11.75/11.96 tff(6347,plain,
% 11.75/11.96 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 11.75/11.96 tff(6348,plain,
% 11.75/11.96 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6347, 6343])).
% 11.75/11.96 tff(6349,plain,(
% 11.75/11.96 ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6348])).
% 11.75/11.96 tff(6350,plain,
% 11.75/11.96 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6349, 6342])).
% 11.75/11.96 tff(6351,plain,
% 11.75/11.96 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s5)) | m_state_v_a1ext(c_s, s5, c_retracted))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s5)) | m_state_v_a1ext(c_s, s5, c_retracted))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6352,plain,
% 11.75/11.96 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s5)) | m_state_v_a1ext(c_s, s5, c_retracted))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6353,plain,
% 11.75/11.96 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s5)) | m_state_v_a1ext(c_s, s5, c_retracted)),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 11.75/11.96 tff(6354,plain,
% 11.75/11.96 (~node1(c_s, s5)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6353, 6350, 4919])).
% 11.75/11.96 tff(6355,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6356,plain,
% 11.75/11.96 (((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6357,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2)))),
% 11.75/11.96 inference(monotonicity,[status(thm)],[6356])).
% 11.75/11.96 tff(6358,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.75/11.96 inference(transitivity,[status(thm)],[6357, 6355])).
% 11.75/11.96 tff(6359,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6360,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2)),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 11.75/11.96 tff(6361,plain,
% 11.75/11.96 (node169(c_s, s1, s2)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6360, 2435, 2432, 226])).
% 11.75/11.96 tff(6362,plain,
% 11.75/11.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6363,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6364,plain,
% 11.75/11.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1)),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 11.75/11.96 tff(6365,plain,
% 11.75/11.96 (node28(c_s, s0, s1)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6364, 28, 2384, 39])).
% 11.75/11.96 tff(6366,plain,
% 11.75/11.96 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6367,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6366])).
% 11.75/11.96 tff(6368,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6369,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_41')).
% 11.75/11.96 tff(6370,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6369, 6368])).
% 11.75/11.96 tff(6371,plain,(
% 11.75/11.96 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6370])).
% 11.75/11.96 tff(6372,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6371, 6367])).
% 11.75/11.96 tff(6373,plain,
% 11.75/11.96 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6374,plain,
% 11.75/11.96 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6375,plain,
% 11.75/11.96 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6374, 6373])).
% 11.75/11.96 tff(6376,plain,
% 11.75/11.96 (~m_state_v_TRM(c_s, s0, c_clockwise)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6375, 6372, 2421])).
% 11.75/11.96 tff(6377,plain,
% 11.75/11.96 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6378,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6377])).
% 11.75/11.96 tff(6379,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6380,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_42')).
% 11.75/11.96 tff(6381,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 11.75/11.96 tff(6382,plain,(
% 11.75/11.96 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6381])).
% 11.75/11.96 tff(6383,plain,
% 11.75/11.96 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6382, 6378])).
% 11.75/11.96 tff(6384,plain,
% 11.75/11.96 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6385,plain,
% 11.75/11.96 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6386,plain,
% 11.75/11.96 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6385, 6384])).
% 11.75/11.96 tff(6387,plain,
% 11.75/11.96 (~m_state_v_TRM(c_s, s0, c_counterclockwise)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6386, 6383, 2421])).
% 11.75/11.96 tff(6388,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6389,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6388])).
% 11.75/11.96 tff(6390,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6391,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y))), ((((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y)) | (~node28(J0, X, Y))))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))), ((((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6392,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6391])).
% 11.75/11.96 tff(6393,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_34')).
% 11.75/11.96 tff(6394,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 11.75/11.96 tff(6395,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6394, 6390])).
% 11.75/11.96 tff(6396,plain,(
% 11.75/11.96 ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6395])).
% 11.75/11.96 tff(6397,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6396, 6389])).
% 11.75/11.96 tff(6398,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6399,plain,
% 11.75/11.96 ((m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1))) <=> (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6400,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1)))),
% 11.75/11.96 inference(monotonicity,[status(thm)],[6399])).
% 11.75/11.96 tff(6401,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1))),
% 11.75/11.96 inference(transitivity,[status(thm)],[6400, 6398])).
% 11.75/11.96 tff(6402,plain,
% 11.75/11.96 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))),
% 11.75/11.96 inference(quant_inst,[status(thm)],[])).
% 11.75/11.96 tff(6403,plain,
% 11.75/11.96 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | (~node28(c_s, s0, s1)) | node27(c_s, s0, s1)),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 11.75/11.96 tff(6404,plain,
% 11.75/11.96 (node27(c_s, s0, s1)),
% 11.75/11.96 inference(unit_resolution,[status(thm)],[6403, 6397, 6387, 6376, 6365])).
% 11.75/11.96 tff(6405,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6406,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6405])).
% 11.75/11.96 tff(6407,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(rewrite,[status(thm)],[])).
% 11.75/11.96 tff(6408,plain,
% 11.75/11.96 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y))) <=> (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))))),
% 11.75/11.96 inference(bind,[status(th)],[])).
% 11.75/11.96 tff(6409,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(quant_intro,[status(thm)],[6408])).
% 11.75/11.96 tff(6410,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_31')).
% 11.75/11.96 tff(6411,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 11.75/11.96 tff(6412,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6411, 6407])).
% 11.75/11.96 tff(6413,plain,(
% 11.75/11.96 ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(skolemize,[status(sab)],[6412])).
% 11.75/11.96 tff(6414,plain,
% 11.75/11.96 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.75/11.96 inference(modus_ponens,[status(thm)],[6413, 6406])).
% 11.75/11.96 tff(6415,plain,
% 11.75/11.96 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6416,plain,
% 11.75/11.97 ((m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1))) <=> (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6417,plain,
% 11.75/11.97 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1))))),
% 11.75/11.97 inference(monotonicity,[status(thm)],[6416])).
% 11.75/11.97 tff(6418,plain,
% 11.75/11.97 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.75/11.97 inference(transitivity,[status(thm)],[6417, 6415])).
% 11.75/11.97 tff(6419,plain,
% 11.75/11.97 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6420,plain,
% 11.75/11.97 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 11.75/11.97 tff(6421,plain,
% 11.75/11.97 (~m_state_v_maxRot(c_s, s1)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6420, 6414, 1555, 6404])).
% 11.75/11.97 tff(6422,plain,
% 11.75/11.97 (^[X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> (m_state_v_maxRot(J0, X) | (~node165(J0, X))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6423,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6422])).
% 11.75/11.97 tff(6424,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6425,axiom,(![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_7')).
% 11.75/11.97 tff(6426,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 11.75/11.97 tff(6427,plain,(
% 11.75/11.97 ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6426])).
% 11.75/11.97 tff(6428,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6427, 6423])).
% 11.75/11.97 tff(6429,plain,
% 11.75/11.97 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6430,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6431,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 11.75/11.97 tff(6432,plain,
% 11.75/11.97 (~node165(c_s, s1)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6431, 6428, 6421])).
% 11.75/11.97 tff(6433,plain,
% 11.75/11.97 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6434,plain,
% 11.75/11.97 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6433])).
% 11.75/11.97 tff(6435,plain,
% 11.75/11.97 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6436,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_40')).
% 11.75/11.97 tff(6437,plain,
% 11.75/11.97 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 11.75/11.97 tff(6438,plain,(
% 11.75/11.97 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6437])).
% 11.75/11.97 tff(6439,plain,
% 11.75/11.97 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6438, 6434])).
% 11.75/11.97 tff(6440,plain,
% 11.75/11.97 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6441,plain,
% 11.75/11.97 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6442,plain,
% 11.75/11.97 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6441, 6440])).
% 11.75/11.97 tff(6443,plain,
% 11.75/11.97 (~m_state_v_TRM(c_s, s1, c_counterclockwise)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6442, 6439, 2458])).
% 11.75/11.97 tff(6444,plain,
% 11.75/11.97 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6445,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6444])).
% 11.75/11.97 tff(6446,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6447,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_13')).
% 11.75/11.97 tff(6448,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 11.75/11.97 tff(6449,plain,(
% 11.75/11.97 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6448])).
% 11.75/11.97 tff(6450,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6449, 6445])).
% 11.75/11.97 tff(6451,plain,
% 11.75/11.97 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6452,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6453,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 11.75/11.97 tff(6454,plain,
% 11.75/11.97 (~node167(c_s, s1)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6453, 6450, 6443])).
% 11.75/11.97 tff(6455,plain,
% 11.75/11.97 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6456,plain,
% 11.75/11.97 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6457,plain,
% 11.75/11.97 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 11.75/11.97 tff(6458,plain,
% 11.75/11.97 ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle))),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6457, 6372])).
% 11.75/11.97 tff(6459,plain,
% 11.75/11.97 (~m_state_v_TRM(c_s, s1, c_idle)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6458, 2458])).
% 11.75/11.97 tff(6460,plain,
% 11.75/11.97 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6461,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6460])).
% 11.75/11.97 tff(6462,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6463,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_11')).
% 11.75/11.97 tff(6464,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 11.75/11.97 tff(6465,plain,(
% 11.75/11.97 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6464])).
% 11.75/11.97 tff(6466,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6465, 6461])).
% 11.75/11.97 tff(6467,plain,
% 11.75/11.97 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node166(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node166(c_s, s1)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6468,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node166(c_s, s1)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6469,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node166(c_s, s1))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 11.75/11.97 tff(6470,plain,
% 11.75/11.97 (~node166(c_s, s1)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6469, 6466, 6459])).
% 11.75/11.97 tff(6471,plain,
% 11.75/11.97 (^[X: $i, J0: $i] : refl(((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle)) <=> ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle)))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6472,plain,
% 11.75/11.97 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6471])).
% 11.75/11.97 tff(6473,plain,
% 11.75/11.97 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6474,plain,
% 11.75/11.97 (^[X: $i, J0: $i] : rewrite((m_state_v_TRM(J0, X, c_idle) | (~node164(J0, X))) <=> ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle)))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6475,plain,
% 11.75/11.97 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6474])).
% 11.75/11.97 tff(6476,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node164(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_4')).
% 11.75/11.97 tff(6477,plain,
% 11.75/11.97 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 11.75/11.97 tff(6478,plain,
% 11.75/11.97 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6477, 6473])).
% 11.75/11.97 tff(6479,plain,(
% 11.75/11.97 ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6478])).
% 11.75/11.97 tff(6480,plain,
% 11.75/11.97 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6479, 6472])).
% 11.75/11.97 tff(6481,plain,
% 11.75/11.97 (((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))) | ((~node164(c_s, s1)) | m_state_v_TRM(c_s, s1, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))) | (~node164(c_s, s1)) | m_state_v_TRM(c_s, s1, c_idle))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6482,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))) | ((~node164(c_s, s1)) | m_state_v_TRM(c_s, s1, c_idle))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6483,plain,
% 11.75/11.97 ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TRM(J0, X, c_idle))) | (~node164(c_s, s1)) | m_state_v_TRM(c_s, s1, c_idle)),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6482, 6481])).
% 11.75/11.97 tff(6484,plain,
% 11.75/11.97 (~node164(c_s, s1)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6483, 6480, 6459])).
% 11.75/11.97 tff(6485,plain,
% 11.75/11.97 (^[Y: $i, X: $i, J0: $i] : refl((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6486,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6485])).
% 11.75/11.97 tff(6487,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6488,plain,
% 11.75/11.97 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node164(J0, X) | node165(J0, X)) | node166(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X)) | node167(J0, X)))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X)) | node167(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)) | node168(J0, X, Y)))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)) | node168(J0, X, Y)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)) | (~node169(J0, X, Y))))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6489,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6488])).
% 11.75/11.97 tff(6490,axiom,(![Y: $i, X: $i, J0: $i] : (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_21')).
% 11.75/11.97 tff(6491,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 11.75/11.97 tff(6492,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6491, 6487])).
% 11.75/11.97 tff(6493,plain,(
% 11.75/11.97 ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6492])).
% 11.75/11.97 tff(6494,plain,
% 11.75/11.97 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6493, 6486])).
% 11.75/11.97 tff(6495,plain,
% 11.75/11.97 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6496,plain,
% 11.75/11.97 ((node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))) <=> (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6497,plain,
% 11.75/11.97 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))))),
% 11.75/11.97 inference(monotonicity,[status(thm)],[6496])).
% 11.75/11.97 tff(6498,plain,
% 11.75/11.97 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.75/11.97 inference(transitivity,[status(thm)],[6497, 6495])).
% 11.75/11.97 tff(6499,plain,
% 11.75/11.97 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6500,plain,
% 11.75/11.97 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 11.75/11.97 tff(6501,plain,
% 11.75/11.97 (node168(c_s, s1, s2)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6500, 6494, 6484, 6470, 6454, 6432, 6361])).
% 11.75/11.97 tff(6502,plain,
% 11.75/11.97 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6503,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6502])).
% 11.75/11.97 tff(6504,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6505,plain,
% 11.75/11.97 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6506,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6505])).
% 11.75/11.97 tff(6507,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_16')).
% 11.75/11.97 tff(6508,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 11.75/11.97 tff(6509,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6508, 6504])).
% 11.75/11.97 tff(6510,plain,(
% 11.75/11.97 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6509])).
% 11.75/11.97 tff(6511,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6510, 6503])).
% 11.75/11.97 tff(6512,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6513,plain,
% 11.75/11.97 (((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6514,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2))))),
% 11.75/11.97 inference(monotonicity,[status(thm)],[6513])).
% 11.75/11.97 tff(6515,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(transitivity,[status(thm)],[6514, 6512])).
% 11.75/11.97 tff(6516,plain,
% 11.75/11.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6517,plain,
% 11.75/11.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 11.75/11.97 tff(6518,plain,
% 11.75/11.97 (~m_state_v_TRM(c_s, s2, c_counterclockwise)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6517, 6511, 6443, 6501])).
% 11.75/11.97 tff(6519,plain,
% 11.75/11.97 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6520,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6519])).
% 11.75/11.97 tff(6521,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6522,plain,
% 11.75/11.97 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) <=> ((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))), (((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> (((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) | (~node168(J0, X, Y))))), rewrite((((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))), (((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6523,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6522])).
% 11.75/11.97 tff(6524,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_15')).
% 11.75/11.97 tff(6525,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 11.75/11.97 tff(6526,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6525, 6521])).
% 11.75/11.97 tff(6527,plain,(
% 11.75/11.97 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(skolemize,[status(sab)],[6526])).
% 11.75/11.97 tff(6528,plain,
% 11.75/11.97 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6527, 6520])).
% 11.75/11.97 tff(6529,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6530,plain,
% 11.75/11.97 (((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise)) <=> ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6531,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2))))),
% 11.75/11.97 inference(monotonicity,[status(thm)],[6530])).
% 11.75/11.97 tff(6532,plain,
% 11.75/11.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2)))),
% 11.75/11.97 inference(transitivity,[status(thm)],[6531, 6529])).
% 11.75/11.97 tff(6533,plain,
% 11.75/11.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.75/11.97 inference(quant_inst,[status(thm)],[])).
% 11.75/11.97 tff(6534,plain,
% 11.75/11.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node168(c_s, s1, s2))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6533, 6532])).
% 11.75/11.97 tff(6535,plain,
% 11.75/11.97 (m_state_v_TRM(c_s, s2, c_clockwise)),
% 11.75/11.97 inference(unit_resolution,[status(thm)],[6534, 6528, 2458, 6501])).
% 11.75/11.97 tff(6536,plain,
% 11.75/11.97 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6537,plain,
% 11.75/11.97 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6536])).
% 11.75/11.97 tff(6538,plain,
% 11.75/11.97 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.75/11.97 inference(rewrite,[status(thm)],[])).
% 11.75/11.97 tff(6539,plain,
% 11.75/11.97 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))))),
% 11.75/11.97 inference(bind,[status(th)],[])).
% 11.75/11.97 tff(6540,plain,
% 11.75/11.97 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.75/11.97 inference(quant_intro,[status(thm)],[6539])).
% 11.75/11.97 tff(6541,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_29')).
% 11.75/11.97 tff(6542,plain,
% 11.75/11.97 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 11.75/11.97 tff(6543,plain,
% 11.75/11.97 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.75/11.97 inference(modus_ponens,[status(thm)],[6542, 6538])).
% 11.82/11.98 tff(6544,plain,(
% 11.82/11.98 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6543])).
% 11.82/11.98 tff(6545,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6544, 6537])).
% 11.82/11.98 tff(6546,plain,
% 11.82/11.98 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6547,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6548,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3)),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 11.82/11.98 tff(6549,plain,
% 11.82/11.98 (node26(c_s, s2, s3)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6548, 28, 6545, 794])).
% 11.82/11.98 tff(6550,plain,
% 11.82/11.98 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6551,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6550])).
% 11.82/11.98 tff(6552,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6553,plain,
% 11.82/11.98 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> (((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~node26(J0, X, Y))))), rewrite((((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~node26(J0, X, Y))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6554,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6553])).
% 11.82/11.98 tff(6555,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_27')).
% 11.82/11.98 tff(6556,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 11.82/11.98 tff(6557,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6556, 6552])).
% 11.82/11.98 tff(6558,plain,(
% 11.82/11.98 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6557])).
% 11.82/11.98 tff(6559,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6558, 6551])).
% 11.82/11.98 tff(6560,plain,
% 11.82/11.98 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6561,plain,
% 11.82/11.98 (((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6562,plain,
% 11.82/11.98 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3))))),
% 11.82/11.98 inference(monotonicity,[status(thm)],[6561])).
% 11.82/11.98 tff(6563,plain,
% 11.82/11.98 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.82/11.98 inference(transitivity,[status(thm)],[6562, 6560])).
% 11.82/11.98 tff(6564,plain,
% 11.82/11.98 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6565,plain,
% 11.82/11.98 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 11.82/11.98 tff(6566,plain,
% 11.82/11.98 ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6565, 6559, 6549])).
% 11.82/11.98 tff(6567,plain,
% 11.82/11.98 (~m_state_v_minRot(c_s, s3)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6566, 6535, 6518])).
% 11.82/11.98 tff(6568,plain,
% 11.82/11.98 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node183(J0, X))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6569,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6568])).
% 11.82/11.98 tff(6570,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6571,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_35')).
% 11.82/11.98 tff(6572,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 11.82/11.98 tff(6573,plain,(
% 11.82/11.98 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6572])).
% 11.82/11.98 tff(6574,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6573, 6569])).
% 11.82/11.98 tff(6575,plain,
% 11.82/11.98 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node183(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node183(c_s, s3)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6576,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node183(c_s, s3)))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6577,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node183(c_s, s3))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 11.82/11.98 tff(6578,plain,
% 11.82/11.98 (~node183(c_s, s3)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6577, 6574, 6567])).
% 11.82/11.98 tff(6579,plain,
% 11.82/11.98 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6580,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6579])).
% 11.82/11.98 tff(6581,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6582,plain,
% 11.82/11.98 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6583,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6582])).
% 11.82/11.98 tff(6584,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_45')).
% 11.82/11.98 tff(6585,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6584, 6583])).
% 11.82/11.98 tff(6586,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6585, 6581])).
% 11.82/11.98 tff(6587,plain,(
% 11.82/11.98 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6586])).
% 11.82/11.98 tff(6588,plain,
% 11.82/11.98 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6587, 6580])).
% 11.82/11.98 tff(6589,plain,
% 11.82/11.98 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6590,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6591,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2)),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 11.82/11.98 tff(6592,plain,
% 11.82/11.98 (node185(c_s, s1, s2)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6591, 2089, 6588, 226])).
% 11.82/11.98 tff(6593,plain,
% 11.82/11.98 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6594,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6595,plain,
% 11.82/11.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1)),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 11.82/11.98 tff(6596,plain,
% 11.82/11.98 (node185(c_s, s0, s1)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6595, 2089, 6588, 39])).
% 11.82/11.98 tff(6597,plain,
% 11.82/11.98 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node183(J0, X))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6598,plain,
% 11.82/11.98 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6597])).
% 11.82/11.98 tff(6599,plain,
% 11.82/11.98 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6600,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_38')).
% 11.82/11.98 tff(6601,plain,
% 11.82/11.98 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 11.82/11.98 tff(6602,plain,(
% 11.82/11.98 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6601])).
% 11.82/11.98 tff(6603,plain,
% 11.82/11.98 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6602, 6598])).
% 11.82/11.98 tff(6604,plain,
% 11.82/11.98 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6605,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6606,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 11.82/11.98 tff(6607,plain,
% 11.82/11.98 (~node183(c_s, s0)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6606, 6603, 2107])).
% 11.82/11.98 tff(6608,plain,
% 11.82/11.98 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6609,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6608])).
% 11.82/11.98 tff(6610,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6611,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_30')).
% 11.82/11.98 tff(6612,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 11.82/11.98 tff(6613,plain,(
% 11.82/11.98 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6612])).
% 11.82/11.98 tff(6614,plain,
% 11.82/11.98 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6613, 6609])).
% 11.82/11.98 tff(6615,plain,
% 11.82/11.98 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | ((~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6616,plain,
% 11.82/11.98 ((m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0))) <=> ((~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6617,plain,
% 11.82/11.98 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | ((~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)))),
% 11.82/11.98 inference(monotonicity,[status(thm)],[6616])).
% 11.82/11.98 tff(6618,plain,
% 11.82/11.98 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/11.98 inference(transitivity,[status(thm)],[6617, 6615])).
% 11.82/11.98 tff(6619,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6620,plain,
% 11.82/11.98 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (~node182(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 11.82/11.98 tff(6621,plain,
% 11.82/11.98 (~node182(c_s, s0)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6620, 6614, 2143])).
% 11.82/11.98 tff(6622,plain,
% 11.82/11.98 (^[Y: $i, X: $i, J0: $i] : refl((node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6623,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6622])).
% 11.82/11.98 tff(6624,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6625,plain,
% 11.82/11.98 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y))), ((((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> ((node182(J0, X) | node183(J0, X) | node184(J0, X, Y)) | (~node185(J0, X, Y))))), rewrite(((node182(J0, X) | node183(J0, X) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))), ((((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6626,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6625])).
% 11.82/11.98 tff(6627,axiom,(![Y: $i, X: $i, J0: $i] : (((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_44')).
% 11.82/11.98 tff(6628,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 11.82/11.98 tff(6629,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6628, 6624])).
% 11.82/11.98 tff(6630,plain,(
% 11.82/11.98 ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(skolemize,[status(sab)],[6629])).
% 11.82/11.98 tff(6631,plain,
% 11.82/11.98 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6630, 6623])).
% 11.82/11.98 tff(6632,plain,
% 11.82/11.98 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6633,plain,
% 11.82/11.98 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))),
% 11.82/11.98 inference(quant_inst,[status(thm)],[])).
% 11.82/11.98 tff(6634,plain,
% 11.82/11.98 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1))),
% 11.82/11.98 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 11.82/11.98 tff(6635,plain,
% 11.82/11.98 (node184(c_s, s0, s1)),
% 11.82/11.98 inference(unit_resolution,[status(thm)],[6634, 6631, 6621, 6607, 6596])).
% 11.82/11.98 tff(6636,plain,
% 11.82/11.98 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6637,plain,
% 11.82/11.98 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6636])).
% 11.82/11.98 tff(6638,plain,
% 11.82/11.98 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.98 inference(rewrite,[status(thm)],[])).
% 11.82/11.98 tff(6639,plain,
% 11.82/11.98 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y))) <=> ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))))),
% 11.82/11.98 inference(bind,[status(th)],[])).
% 11.82/11.98 tff(6640,plain,
% 11.82/11.98 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.98 inference(quant_intro,[status(thm)],[6639])).
% 11.82/11.99 tff(6641,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_41')).
% 11.82/11.99 tff(6642,plain,
% 11.82/11.99 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6641, 6640])).
% 11.82/11.99 tff(6643,plain,
% 11.82/11.99 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6642, 6638])).
% 11.82/11.99 tff(6644,plain,(
% 11.82/11.99 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.99 inference(skolemize,[status(sab)],[6643])).
% 11.82/11.99 tff(6645,plain,
% 11.82/11.99 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6644, 6637])).
% 11.82/11.99 tff(6646,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6647,plain,
% 11.82/11.99 (((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on))) <=> (m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6648,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1))))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6647])).
% 11.82/11.99 tff(6649,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1)))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6648, 6646])).
% 11.82/11.99 tff(6650,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6651,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)) | (~node184(c_s, s0, s1))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 11.82/11.99 tff(6652,plain,
% 11.82/11.99 (~m_state_v_FBM(c_s, s1, c_on)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6651, 6645, 2143, 6635])).
% 11.82/11.99 tff(6653,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6654,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6655,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 11.82/11.99 tff(6656,plain,
% 11.82/11.99 (~node182(c_s, s1)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6655, 6614, 6652])).
% 11.82/11.99 tff(6657,plain,
% 11.82/11.99 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X))) <=> (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X))))),
% 11.82/11.99 inference(bind,[status(th)],[])).
% 11.82/11.99 tff(6658,plain,
% 11.82/11.99 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))),
% 11.82/11.99 inference(quant_intro,[status(thm)],[6657])).
% 11.82/11.99 tff(6659,plain,
% 11.82/11.99 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6660,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_37')).
% 11.82/11.99 tff(6661,plain,
% 11.82/11.99 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 11.82/11.99 tff(6662,plain,(
% 11.82/11.99 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))),
% 11.82/11.99 inference(skolemize,[status(sab)],[6661])).
% 11.82/11.99 tff(6663,plain,
% 11.82/11.99 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6662, 6658])).
% 11.82/11.99 tff(6664,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node183(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node183(c_s, s1)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6665,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node183(c_s, s1)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6666,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node183(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node183(c_s, s1))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 11.82/11.99 tff(6667,plain,
% 11.82/11.99 (~node183(c_s, s1)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6666, 6663, 6459])).
% 11.82/11.99 tff(6668,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6669,plain,
% 11.82/11.99 ((node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2))) <=> (node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6670,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2))))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6669])).
% 11.82/11.99 tff(6671,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6670, 6668])).
% 11.82/11.99 tff(6672,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6673,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s1) | node182(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 11.82/11.99 tff(6674,plain,
% 11.82/11.99 (node184(c_s, s1, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6673, 6631, 6667, 6656, 6592])).
% 11.82/11.99 tff(6675,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6676,plain,
% 11.82/11.99 (((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on))) <=> (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6677,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2))))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6676])).
% 11.82/11.99 tff(6678,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6677, 6675])).
% 11.82/11.99 tff(6679,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6680,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 11.82/11.99 tff(6681,plain,
% 11.82/11.99 (~m_state_v_FBM(c_s, s2, c_on)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6680, 6645, 6652, 6674])).
% 11.82/11.99 tff(6682,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6683,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6684,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 11.82/11.99 tff(6685,plain,
% 11.82/11.99 (~node182(c_s, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6684, 6614, 6681])).
% 11.82/11.99 tff(6686,plain,
% 11.82/11.99 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6687,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6688,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3)),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 11.82/11.99 tff(6689,plain,
% 11.82/11.99 (node185(c_s, s2, s3)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6688, 2089, 6588, 794])).
% 11.82/11.99 tff(6690,plain,
% 11.82/11.99 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s1, s2))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6691,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s1, s2))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6692,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s1, s2)),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 11.82/11.99 tff(6693,plain,
% 11.82/11.99 (node26(c_s, s1, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6692, 28, 6545, 226])).
% 11.82/11.99 tff(6694,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6695,plain,
% 11.82/11.99 (((~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise))) <=> ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6696,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2))))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6695])).
% 11.82/11.99 tff(6697,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6696, 6694])).
% 11.82/11.99 tff(6698,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6699,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_minRot(c_s, s2)) | (~node26(c_s, s1, s2))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6698, 6697])).
% 11.82/11.99 tff(6700,plain,
% 11.82/11.99 (~m_state_v_minRot(c_s, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6699, 6559, 2458, 6443, 6693])).
% 11.82/11.99 tff(6701,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | ((~node183(c_s, s2)) | m_state_v_minRot(c_s, s2))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6702,plain,
% 11.82/11.99 ((m_state_v_minRot(c_s, s2) | (~node183(c_s, s2))) <=> ((~node183(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6703,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node183(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | ((~node183(c_s, s2)) | m_state_v_minRot(c_s, s2)))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6702])).
% 11.82/11.99 tff(6704,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node183(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6703, 6701])).
% 11.82/11.99 tff(6705,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node183(c_s, s2)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6706,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s2)) | m_state_v_minRot(c_s, s2)),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 11.82/11.99 tff(6707,plain,
% 11.82/11.99 (~node183(c_s, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6706, 6574, 6700])).
% 11.82/11.99 tff(6708,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6709,plain,
% 11.82/11.99 ((node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3))) <=> (node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6710,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2)))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6709])).
% 11.82/11.99 tff(6711,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6710, 6708])).
% 11.82/11.99 tff(6712,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6713,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3) | node182(c_s, s2)),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 11.82/11.99 tff(6714,plain,
% 11.82/11.99 (node184(c_s, s2, s3) | node182(c_s, s2)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6713, 6631, 6707, 6689])).
% 11.82/11.99 tff(6715,plain,
% 11.82/11.99 (node184(c_s, s2, s3)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6714, 6685])).
% 11.82/11.99 tff(6716,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6717,plain,
% 11.82/11.99 (((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on))) <=> (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6718,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3))))),
% 11.82/11.99 inference(monotonicity,[status(thm)],[6717])).
% 11.82/11.99 tff(6719,plain,
% 11.82/11.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.82/11.99 inference(transitivity,[status(thm)],[6718, 6716])).
% 11.82/11.99 tff(6720,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6721,plain,
% 11.82/11.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 11.82/11.99 tff(6722,plain,
% 11.82/11.99 (~m_state_v_FBM(c_s, s3, c_on)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6721, 6645, 6681, 6715])).
% 11.82/11.99 tff(6723,plain,
% 11.82/11.99 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6724,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6725,plain,
% 11.82/11.99 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 11.82/11.99 tff(6726,plain,
% 11.82/11.99 (~node182(c_s, s3)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6725, 6614, 6722])).
% 11.82/11.99 tff(6727,plain,
% 11.82/11.99 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6728,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6729,plain,
% 11.82/11.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4)),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 11.82/11.99 tff(6730,plain,
% 11.82/11.99 (node185(c_s, s3, s4)),
% 11.82/11.99 inference(unit_resolution,[status(thm)],[6729, 2089, 6588, 1179])).
% 11.82/11.99 tff(6731,plain,
% 11.82/11.99 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))),
% 11.82/11.99 inference(rewrite,[status(thm)],[])).
% 11.82/11.99 tff(6732,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))),
% 11.82/11.99 inference(quant_inst,[status(thm)],[])).
% 11.82/11.99 tff(6733,plain,
% 11.82/11.99 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4))),
% 11.82/11.99 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 11.82/11.99 tff(6734,plain,
% 11.82/11.99 (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6733, 6631, 6730])).
% 11.82/12.00 tff(6735,plain,
% 11.82/12.00 (node183(c_s, s3) | node184(c_s, s3, s4)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6734, 6726])).
% 11.82/12.00 tff(6736,plain,
% 11.82/12.00 (node184(c_s, s3, s4)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6735, 6578])).
% 11.82/12.00 tff(6737,plain,
% 11.82/12.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6738,plain,
% 11.82/12.00 (((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on))) <=> ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6739,plain,
% 11.82/12.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4))))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6738])).
% 11.82/12.00 tff(6740,plain,
% 11.82/12.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6739, 6737])).
% 11.82/12.00 tff(6741,plain,
% 11.82/12.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6742,plain,
% 11.82/12.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 11.82/12.00 tff(6743,plain,
% 11.82/12.00 (~m_state_v_FBM(c_s, s4, c_on)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6742, 6645, 6722, 6736])).
% 11.82/12.00 tff(6744,plain,
% 11.82/12.00 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6745,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6744])).
% 11.82/12.00 tff(6746,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6747,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_1')).
% 11.82/12.00 tff(6748,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 11.82/12.00 tff(6749,plain,(
% 11.82/12.00 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6748])).
% 11.82/12.00 tff(6750,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6749, 6745])).
% 11.82/12.00 tff(6751,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6752,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6753,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6752, 6751])).
% 11.82/12.00 tff(6754,plain,
% 11.82/12.00 (~node17(c_s, s4)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6753, 6750, 6743])).
% 11.82/12.00 tff(6755,plain,
% 11.82/12.00 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6756,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6755])).
% 11.82/12.00 tff(6757,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6758,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_4')).
% 11.82/12.00 tff(6759,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 11.82/12.00 tff(6760,plain,(
% 11.82/12.00 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6759])).
% 11.82/12.00 tff(6761,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6760, 6756])).
% 11.82/12.00 tff(6762,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6763,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6764,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6763, 6762])).
% 11.82/12.00 tff(6765,plain,
% 11.82/12.00 (~node18(c_s, s4)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6764, 6761, 6743])).
% 11.82/12.00 tff(6766,plain,
% 11.82/12.00 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6767,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6766])).
% 11.82/12.00 tff(6768,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6769,plain,
% 11.82/12.00 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6770,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6769])).
% 11.82/12.00 tff(6771,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_11')).
% 11.82/12.00 tff(6772,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6771, 6770])).
% 11.82/12.00 tff(6773,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6772, 6768])).
% 11.82/12.00 tff(6774,plain,(
% 11.82/12.00 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6773])).
% 11.82/12.00 tff(6775,plain,
% 11.82/12.00 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6774, 6767])).
% 11.82/12.00 tff(6776,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6777,plain,
% 11.82/12.00 (((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6778,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5)))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6777])).
% 11.82/12.00 tff(6779,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6778, 6776])).
% 11.82/12.00 tff(6780,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6781,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5)),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6780, 6779])).
% 11.82/12.00 tff(6782,plain,
% 11.82/12.00 (node20(c_s, s4, s5)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6781, 28, 6775, 4253])).
% 11.82/12.00 tff(6783,plain,
% 11.82/12.00 (^[Y: $i, X: $i, J0: $i] : refl((node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6784,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6783])).
% 11.82/12.00 tff(6785,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6786,plain,
% 11.82/12.00 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y))), ((((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> ((node17(J0, X) | node18(J0, X) | node19(J0, X, Y)) | (~node20(J0, X, Y))))), rewrite(((node17(J0, X) | node18(J0, X) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))), ((((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6787,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6786])).
% 11.82/12.00 tff(6788,axiom,(![Y: $i, X: $i, J0: $i] : (((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_10')).
% 11.82/12.00 tff(6789,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6788, 6787])).
% 11.82/12.00 tff(6790,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6789, 6785])).
% 11.82/12.00 tff(6791,plain,(
% 11.82/12.00 ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6790])).
% 11.82/12.00 tff(6792,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6791, 6784])).
% 11.82/12.00 tff(6793,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6794,plain,
% 11.82/12.00 ((node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5))) <=> (node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6795,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5))))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6794])).
% 11.82/12.00 tff(6796,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6795, 6793])).
% 11.82/12.00 tff(6797,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6798,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 11.82/12.00 tff(6799,plain,
% 11.82/12.00 (node18(c_s, s4) | node17(c_s, s4) | node19(c_s, s4, s5)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6798, 6792, 6782])).
% 11.82/12.00 tff(6800,plain,
% 11.82/12.00 (node19(c_s, s4, s5)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6799, 6765, 6754])).
% 11.82/12.00 tff(6801,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6802,plain,
% 11.82/12.00 (((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6803,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2)))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6802])).
% 11.82/12.00 tff(6804,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6803, 6801])).
% 11.82/12.00 tff(6805,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6806,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2)),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 11.82/12.00 tff(6807,plain,
% 11.82/12.00 (node20(c_s, s1, s2)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6806, 28, 6775, 226])).
% 11.82/12.00 tff(6808,plain,
% 11.82/12.00 (^[X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> (m_state_v_deliv(J0, X) | (~node18(J0, X))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6809,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6808])).
% 11.82/12.00 tff(6810,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6811,axiom,(![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_5')).
% 11.82/12.00 tff(6812,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 11.82/12.00 tff(6813,plain,(
% 11.82/12.00 ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6812])).
% 11.82/12.00 tff(6814,plain,
% 11.82/12.00 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6813, 6809])).
% 11.82/12.00 tff(6815,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6816,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6817,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node18(c_s, s1))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 11.82/12.00 tff(6818,plain,
% 11.82/12.00 (~node18(c_s, s1)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6817, 6814, 2217])).
% 11.82/12.00 tff(6819,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6820,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6821,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 11.82/12.00 tff(6822,plain,
% 11.82/12.00 (~node17(c_s, s1)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6821, 6750, 6652])).
% 11.82/12.00 tff(6823,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6824,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6825,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6824, 6823])).
% 11.82/12.00 tff(6826,plain,
% 11.82/12.00 (node19(c_s, s1, s2)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6825, 6792, 6822, 6818, 6807])).
% 11.82/12.00 tff(6827,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6828,plain,
% 11.82/12.00 (((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6829,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1)))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6828])).
% 11.82/12.00 tff(6830,plain,
% 11.82/12.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6829, 6827])).
% 11.82/12.00 tff(6831,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6832,plain,
% 11.82/12.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1)),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 11.82/12.00 tff(6833,plain,
% 11.82/12.00 (node20(c_s, s0, s1)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6832, 28, 6775, 39])).
% 11.82/12.00 tff(6834,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | ((~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6835,plain,
% 11.82/12.00 ((m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0))) <=> ((~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6836,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | ((~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)))),
% 11.82/12.00 inference(monotonicity,[status(thm)],[6835])).
% 11.82/12.00 tff(6837,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 11.82/12.00 inference(transitivity,[status(thm)],[6836, 6834])).
% 11.82/12.00 tff(6838,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6839,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (~node17(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 11.82/12.00 tff(6840,plain,
% 11.82/12.00 (~node17(c_s, s0)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6839, 6750, 2143])).
% 11.82/12.00 tff(6841,plain,
% 11.82/12.00 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6842,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6843,plain,
% 11.82/12.00 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 11.82/12.00 tff(6844,plain,
% 11.82/12.00 (~node18(c_s, s0)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6843, 6761, 2143])).
% 11.82/12.00 tff(6845,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6846,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))),
% 11.82/12.00 inference(quant_inst,[status(thm)],[])).
% 11.82/12.00 tff(6847,plain,
% 11.82/12.00 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 11.82/12.00 tff(6848,plain,
% 11.82/12.00 (node19(c_s, s0, s1)),
% 11.82/12.00 inference(unit_resolution,[status(thm)],[6847, 6792, 6844, 6840, 6833])).
% 11.82/12.00 tff(6849,plain,
% 11.82/12.00 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6850,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6849])).
% 11.82/12.00 tff(6851,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(rewrite,[status(thm)],[])).
% 11.82/12.00 tff(6852,plain,
% 11.82/12.00 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y))), (((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> (((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y)) | (~node19(J0, X, Y))))), rewrite((((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y)) | (~node19(J0, X, Y))) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))), (((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))))),
% 11.82/12.00 inference(bind,[status(th)],[])).
% 11.82/12.00 tff(6853,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(quant_intro,[status(thm)],[6852])).
% 11.82/12.00 tff(6854,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_6')).
% 11.82/12.00 tff(6855,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 11.82/12.00 tff(6856,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6855, 6851])).
% 11.82/12.00 tff(6857,plain,(
% 11.82/12.00 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(skolemize,[status(sab)],[6856])).
% 11.82/12.00 tff(6858,plain,
% 11.82/12.00 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.82/12.00 inference(modus_ponens,[status(thm)],[6857, 6850])).
% 11.82/12.00 tff(6859,plain,
% 11.82/12.00 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6860,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6861,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6860, 6859])).
% 11.82/12.01 tff(6862,plain,
% 11.82/12.01 (m_state_v_pfl(c_s, s1)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6861, 6858, 2163, 6848])).
% 11.82/12.01 tff(6863,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6864,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6865,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 11.82/12.01 tff(6866,plain,
% 11.82/12.01 (m_state_v_pfl(c_s, s2)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6865, 6858, 6862, 6826])).
% 11.82/12.01 tff(6867,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6868,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6869,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2))),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 11.82/12.01 tff(6870,plain,
% 11.82/12.01 (~node17(c_s, s2)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6869, 6750, 6681])).
% 11.82/12.01 tff(6871,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6872,plain,
% 11.82/12.01 (((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6873,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6872])).
% 11.82/12.01 tff(6874,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6873, 6871])).
% 11.82/12.01 tff(6875,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6876,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s2, s3)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 11.82/12.01 tff(6877,plain,
% 11.82/12.01 (node20(c_s, s2, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6876, 28, 6775, 794])).
% 11.82/12.01 tff(6878,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | ((~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6879,plain,
% 11.82/12.01 ((m_state_v_FBM(c_s, s2, c_on) | (~node18(c_s, s2))) <=> ((~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6880,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node18(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | ((~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6879])).
% 11.82/12.01 tff(6881,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node18(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6880, 6878])).
% 11.82/12.01 tff(6882,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node18(c_s, s2)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6883,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (~node18(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 11.82/12.01 tff(6884,plain,
% 11.82/12.01 (~node18(c_s, s2)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6883, 6761, 6681])).
% 11.82/12.01 tff(6885,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6886,plain,
% 11.82/12.01 ((node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3))) <=> (node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6887,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6886])).
% 11.82/12.01 tff(6888,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6887, 6885])).
% 11.82/12.01 tff(6889,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6890,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s2) | (~node20(c_s, s2, s3)) | node17(c_s, s2) | node19(c_s, s2, s3)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6889, 6888])).
% 11.82/12.01 tff(6891,plain,
% 11.82/12.01 (node19(c_s, s2, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6890, 6792, 6884, 6877, 6870])).
% 11.82/12.01 tff(6892,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6893,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6894,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6893, 6892])).
% 11.82/12.01 tff(6895,plain,
% 11.82/12.01 ((~m_state_v_pfl(c_s, s2)) | m_state_v_pfl(c_s, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6894, 6858, 6891])).
% 11.82/12.01 tff(6896,plain,
% 11.82/12.01 (m_state_v_pfl(c_s, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6895, 6866])).
% 11.82/12.01 tff(6897,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node18(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node18(c_s, s3)))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6898,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node18(c_s, s3)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6899,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node18(c_s, s3))),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 11.82/12.01 tff(6900,plain,
% 11.82/12.01 (~node18(c_s, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6899, 6761, 6722])).
% 11.82/12.01 tff(6901,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6902,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6903,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3))),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 11.82/12.01 tff(6904,plain,
% 11.82/12.01 (~node17(c_s, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6903, 6750, 6722])).
% 11.82/12.01 tff(6905,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6906,plain,
% 11.82/12.01 (((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6907,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6906])).
% 11.82/12.01 tff(6908,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6907, 6905])).
% 11.82/12.01 tff(6909,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6910,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 11.82/12.01 tff(6911,plain,
% 11.82/12.01 (node20(c_s, s3, s4)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6910, 28, 6775, 1179])).
% 11.82/12.01 tff(6912,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6913,plain,
% 11.82/12.01 ((node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4))) <=> (node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6914,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6913])).
% 11.82/12.01 tff(6915,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6914, 6912])).
% 11.82/12.01 tff(6916,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6917,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)) | node17(c_s, s3)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 11.82/12.01 tff(6918,plain,
% 11.82/12.01 (node18(c_s, s3) | node19(c_s, s3, s4) | node17(c_s, s3)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6917, 6792, 6911])).
% 11.82/12.01 tff(6919,plain,
% 11.82/12.01 (node19(c_s, s3, s4)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6918, 6904, 6900])).
% 11.82/12.01 tff(6920,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6921,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6922,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 11.82/12.01 tff(6923,plain,
% 11.82/12.01 ((~m_state_v_pfl(c_s, s3)) | m_state_v_pfl(c_s, s4)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6922, 6858, 6919])).
% 11.82/12.01 tff(6924,plain,
% 11.82/12.01 (m_state_v_pfl(c_s, s4)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6923, 6896])).
% 11.82/12.01 tff(6925,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6926,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6927,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6926, 6925])).
% 11.82/12.01 tff(6928,plain,
% 11.82/12.01 (m_state_v_pfl(c_s, s5)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6927, 6858, 6924, 6800])).
% 11.82/12.01 tff(6929,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6930,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6931,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5))),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 11.82/12.01 tff(6932,plain,
% 11.82/12.01 (~node2(c_s, s5)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6931, 2266, 6928])).
% 11.82/12.01 tff(6933,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6934,plain,
% 11.82/12.01 ((node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6935,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6934])).
% 11.82/12.01 tff(6936,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 11.82/12.01 inference(transitivity,[status(thm)],[6935, 6933])).
% 11.82/12.01 tff(6937,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6938,plain,
% 11.82/12.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6937, 6936])).
% 11.82/12.01 tff(6939,plain,
% 11.82/12.01 (node4(c_s, s5, s6)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6938, 2055, 2052, 15])).
% 11.82/12.01 tff(6940,plain,
% 11.82/12.01 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6941,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6942,plain,
% 11.82/12.01 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6))),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 11.82/12.01 tff(6943,plain,
% 11.82/12.01 (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6942, 2241, 6939])).
% 11.82/12.01 tff(6944,plain,
% 11.82/12.01 (node1(c_s, s5) | node3(c_s, s5, s6)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6943, 6932])).
% 11.82/12.01 tff(6945,plain,
% 11.82/12.01 (node3(c_s, s5, s6)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6944, 6354])).
% 11.82/12.01 tff(6946,plain,
% 11.82/12.01 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6947,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract))),
% 11.82/12.01 inference(quant_inst,[status(thm)],[])).
% 11.82/12.01 tff(6948,plain,
% 11.82/12.01 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s4)) | m_state_v_A1M(c_s, s4, c_retract)),
% 11.82/12.01 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 11.82/12.01 tff(6949,plain,
% 11.82/12.01 (~node1(c_s, s4)),
% 11.82/12.01 inference(unit_resolution,[status(thm)],[6948, 2072, 3667])).
% 11.82/12.01 tff(6950,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6951,plain,
% 11.82/12.01 ((node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.82/12.01 inference(rewrite,[status(thm)],[])).
% 11.82/12.01 tff(6952,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5)))),
% 11.82/12.01 inference(monotonicity,[status(thm)],[6951])).
% 11.82/12.01 tff(6953,plain,
% 11.82/12.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.82/12.02 inference(transitivity,[status(thm)],[6952, 6950])).
% 11.82/12.02 tff(6954,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6955,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 11.82/12.02 tff(6956,plain,
% 11.82/12.02 (node4(c_s, s4, s5)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6955, 2055, 2052, 4253])).
% 11.82/12.02 tff(6957,plain,
% 11.82/12.02 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6958,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6959,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6958, 6957])).
% 11.82/12.02 tff(6960,plain,
% 11.82/12.02 (~node2(c_s, s4)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6959, 2266, 6924])).
% 11.82/12.02 tff(6961,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6962,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6963,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6962, 6961])).
% 11.82/12.02 tff(6964,plain,
% 11.82/12.02 (node1(c_s, s4) | node3(c_s, s4, s5)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6963, 2241, 6960, 6956])).
% 11.82/12.02 tff(6965,plain,
% 11.82/12.02 (node3(c_s, s4, s5)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6964, 6949])).
% 11.82/12.02 tff(6966,plain,
% 11.82/12.02 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6967,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6968,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 11.82/12.02 tff(6969,plain,
% 11.82/12.02 (~node1(c_s, s3)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6968, 2072, 2838])).
% 11.82/12.02 tff(6970,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6971,plain,
% 11.82/12.02 ((node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6972,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4)))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[6971])).
% 11.82/12.02 tff(6973,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.82/12.02 inference(transitivity,[status(thm)],[6972, 6970])).
% 11.82/12.02 tff(6974,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6975,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 11.82/12.02 tff(6976,plain,
% 11.82/12.02 (node4(c_s, s3, s4)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6975, 2055, 2052, 1179])).
% 11.82/12.02 tff(6977,plain,
% 11.82/12.02 (^[X: $i, J0: $i] : refl(((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)))),
% 11.82/12.02 inference(bind,[status(th)],[])).
% 11.82/12.02 tff(6978,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(quant_intro,[status(thm)],[6977])).
% 11.82/12.02 tff(6979,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6980,plain,
% 11.82/12.02 (^[X: $i, J0: $i] : rewrite((m_state_v_FBM(J0, X, c_on) | (~node2(J0, X))) <=> ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)))),
% 11.82/12.02 inference(bind,[status(th)],[])).
% 11.82/12.02 tff(6981,plain,
% 11.82/12.02 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(quant_intro,[status(thm)],[6980])).
% 11.82/12.02 tff(6982,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node2(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_4')).
% 11.82/12.02 tff(6983,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 11.82/12.02 tff(6984,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6983, 6979])).
% 11.82/12.02 tff(6985,plain,(
% 11.82/12.02 ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(skolemize,[status(sab)],[6984])).
% 11.82/12.02 tff(6986,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6985, 6978])).
% 11.82/12.02 tff(6987,plain,
% 11.82/12.02 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s3)) | m_state_v_FBM(c_s, s3, c_on))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s3)) | m_state_v_FBM(c_s, s3, c_on))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6988,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s3)) | m_state_v_FBM(c_s, s3, c_on))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6989,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s3)) | m_state_v_FBM(c_s, s3, c_on)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 11.82/12.02 tff(6990,plain,
% 11.82/12.02 (~node2(c_s, s3)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6989, 6986, 6722])).
% 11.82/12.02 tff(6991,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6992,plain,
% 11.82/12.02 ((node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4))) <=> (node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(6993,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4)))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[6992])).
% 11.82/12.02 tff(6994,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4))),
% 11.82/12.02 inference(transitivity,[status(thm)],[6993, 6991])).
% 11.82/12.02 tff(6995,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(6996,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node1(c_s, s3) | (~node4(c_s, s3, s4)) | node3(c_s, s3, s4)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 11.82/12.02 tff(6997,plain,
% 11.82/12.02 (node1(c_s, s3) | node3(c_s, s3, s4)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6996, 2241, 6990, 6976])).
% 11.82/12.02 tff(6998,plain,
% 11.82/12.02 (node3(c_s, s3, s4)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[6997, 6969])).
% 11.82/12.02 tff(6999,assumption,(node3(c_s, s3, s4)), introduced(assumption)).
% 11.82/12.02 tff(7000,assumption,(~m_state_v_tl(c_s, s4)), introduced(assumption)).
% 11.82/12.02 tff(7001,assumption,(~node4(c_s, s2, s3)), introduced(assumption)).
% 11.82/12.02 tff(7002,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7003,plain,
% 11.82/12.02 ((node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7004,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3)))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[7003])).
% 11.82/12.02 tff(7005,plain,
% 11.82/12.02 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.82/12.02 inference(transitivity,[status(thm)],[7004, 7002])).
% 11.82/12.02 tff(7006,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7007,plain,
% 11.82/12.02 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 11.82/12.02 tff(7008,plain,
% 11.82/12.02 ($false),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7007, 2055, 2052, 794, 7001])).
% 11.82/12.02 tff(7009,plain,(node4(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.82/12.02 tff(7010,plain,
% 11.82/12.02 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7011,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7012,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 11.82/12.02 tff(7013,plain,
% 11.82/12.02 (~node1(c_s, s2)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7012, 2072, 2612])).
% 11.82/12.02 tff(7014,plain,
% 11.82/12.02 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7015,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7016,plain,
% 11.82/12.02 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s2)) | m_state_v_FBM(c_s, s2, c_on)),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 11.82/12.02 tff(7017,plain,
% 11.82/12.02 (~node2(c_s, s2)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7016, 6986, 6681])).
% 11.82/12.02 tff(7018,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7019,plain,
% 11.82/12.02 ((node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3))) <=> (node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7020,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3))))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[7019])).
% 11.82/12.02 tff(7021,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3)))),
% 11.82/12.02 inference(transitivity,[status(thm)],[7020, 7018])).
% 11.82/12.02 tff(7022,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7023,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node3(c_s, s2, s3) | node2(c_s, s2) | (~node4(c_s, s2, s3))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 11.82/12.02 tff(7024,plain,
% 11.82/12.02 (node3(c_s, s2, s3)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7023, 2241, 7017, 7013, 7009])).
% 11.82/12.02 tff(7025,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7026,plain,
% 11.82/12.02 (((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3)) <=> (m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7027,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2))))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[7026])).
% 11.82/12.02 tff(7028,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)))),
% 11.82/12.02 inference(transitivity,[status(thm)],[7027, 7025])).
% 11.82/12.02 tff(7029,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7030,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 11.82/12.02 tff(7031,plain,
% 11.82/12.02 (m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3))),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7030, 2287, 2301])).
% 11.82/12.02 tff(7032,plain,
% 11.82/12.02 (m_state_v_tl(c_s, s3)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7031, 7024])).
% 11.82/12.02 tff(7033,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7034,plain,
% 11.82/12.02 (((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4)) <=> (m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7035,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4))))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[7034])).
% 11.82/12.02 tff(7036,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4)))),
% 11.82/12.02 inference(transitivity,[status(thm)],[7035, 7033])).
% 11.82/12.02 tff(7037,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7038,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3)) | (~node3(c_s, s3, s4))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 11.82/12.02 tff(7039,plain,
% 11.82/12.02 ($false),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7038, 2287, 7032, 7000, 6999])).
% 11.82/12.02 tff(7040,plain,((~node3(c_s, s3, s4)) | m_state_v_tl(c_s, s4)), inference(lemma,lemma(discharge,[]))).
% 11.82/12.02 tff(7041,plain,
% 11.82/12.02 (m_state_v_tl(c_s, s4)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7040, 6998])).
% 11.82/12.02 tff(7042,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7043,plain,
% 11.82/12.02 (((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5)) <=> ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7044,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5))))),
% 11.82/12.02 inference(monotonicity,[status(thm)],[7043])).
% 11.82/12.02 tff(7045,plain,
% 11.82/12.02 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.82/12.02 inference(transitivity,[status(thm)],[7044, 7042])).
% 11.82/12.02 tff(7046,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))),
% 11.82/12.02 inference(quant_inst,[status(thm)],[])).
% 11.82/12.02 tff(7047,plain,
% 11.82/12.02 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 11.82/12.02 tff(7048,plain,
% 11.82/12.02 (m_state_v_tl(c_s, s5)),
% 11.82/12.02 inference(unit_resolution,[status(thm)],[7047, 2287, 7041, 6965])).
% 11.82/12.02 tff(7049,plain,
% 11.82/12.02 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node172(J0, X))))),
% 11.82/12.02 inference(bind,[status(th)],[])).
% 11.82/12.02 tff(7050,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.82/12.02 inference(quant_intro,[status(thm)],[7049])).
% 11.82/12.02 tff(7051,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.82/12.02 inference(rewrite,[status(thm)],[])).
% 11.82/12.02 tff(7052,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_34')).
% 11.82/12.02 tff(7053,plain,
% 11.82/12.02 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.82/12.02 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 11.82/12.03 tff(7054,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7053])).
% 11.82/12.03 tff(7055,plain,
% 11.82/12.03 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7054, 7050])).
% 11.82/12.03 tff(7056,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7057,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7058,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 11.82/12.03 tff(7059,plain,
% 11.82/12.03 (~node172(c_s, s5)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7058, 7055, 7048])).
% 11.82/12.03 tff(7060,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7061,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7062,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7061, 7060])).
% 11.82/12.03 tff(7063,plain,
% 11.82/12.03 (~node172(c_s, s4)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7062, 7055, 7041])).
% 11.82/12.03 tff(7064,plain,
% 11.82/12.03 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7065,plain,
% 11.82/12.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7066,plain,
% 11.82/12.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2)),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7065, 7064])).
% 11.82/12.03 tff(7067,plain,
% 11.82/12.03 (node175(c_s, s1, s2)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7066, 2435, 2482, 226])).
% 11.82/12.03 tff(7068,plain,
% 11.82/12.03 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7069,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7068])).
% 11.82/12.03 tff(7070,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7071,plain,
% 11.82/12.03 (^[I0: $i, X: $i] : rewrite(((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7072,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7071])).
% 11.82/12.03 tff(7073,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_36')).
% 11.82/12.03 tff(7074,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 11.82/12.03 tff(7075,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7074, 7070])).
% 11.82/12.03 tff(7076,plain,(
% 11.82/12.03 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7075])).
% 11.82/12.03 tff(7077,plain,
% 11.82/12.03 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7076, 7069])).
% 11.82/12.03 tff(7078,plain,
% 11.82/12.03 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7079,plain,
% 11.82/12.03 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7080,plain,
% 11.82/12.03 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 11.82/12.03 tff(7081,plain,
% 11.82/12.03 (~m_state_v_TEM(c_s, s1, c_down)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7080, 7077, 2503])).
% 11.82/12.03 tff(7082,plain,
% 11.82/12.03 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7083,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7082])).
% 11.82/12.03 tff(7084,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7085,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_35')).
% 11.82/12.03 tff(7086,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7085, 7084])).
% 11.82/12.03 tff(7087,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7086])).
% 11.82/12.03 tff(7088,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7087, 7083])).
% 11.82/12.03 tff(7089,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7090,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7091,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 11.82/12.03 tff(7092,plain,
% 11.82/12.03 (~node173(c_s, s1)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7091, 7088, 7081])).
% 11.82/12.03 tff(7093,plain,
% 11.82/12.03 (^[X: $i, J0: $i] : refl((m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> (m_state_v_topPos(J0, X) | (~node171(J0, X))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7094,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7093])).
% 11.82/12.03 tff(7095,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7096,axiom,(![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_29')).
% 11.82/12.03 tff(7097,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 11.82/12.03 tff(7098,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7097])).
% 11.82/12.03 tff(7099,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7098, 7094])).
% 11.82/12.03 tff(7100,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7101,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7102,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node171(c_s, s1))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7101, 7100])).
% 11.82/12.03 tff(7103,plain,
% 11.82/12.03 (~node171(c_s, s1)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7102, 7099, 1990])).
% 11.82/12.03 tff(7104,plain,
% 11.82/12.03 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X))) <=> (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7105,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7104])).
% 11.82/12.03 tff(7106,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7107,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_26')).
% 11.82/12.03 tff(7108,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 11.82/12.03 tff(7109,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7108])).
% 11.82/12.03 tff(7110,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7109, 7105])).
% 11.82/12.03 tff(7111,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node170(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node170(c_s, s1)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7112,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node170(c_s, s1)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7113,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node170(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node170(c_s, s1))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7112, 7111])).
% 11.82/12.03 tff(7114,plain,
% 11.82/12.03 (~node170(c_s, s1)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7113, 7110, 6459])).
% 11.82/12.03 tff(7115,plain,
% 11.82/12.03 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X))) <=> (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7116,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7115])).
% 11.82/12.03 tff(7117,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7118,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_33')).
% 11.82/12.03 tff(7119,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7118, 7117])).
% 11.82/12.03 tff(7120,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7119])).
% 11.82/12.03 tff(7121,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7120, 7116])).
% 11.82/12.03 tff(7122,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node172(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node172(c_s, s1)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7123,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TRM(c_s, s1, c_idle) | (~node172(c_s, s1)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7124,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TRM(c_s, s1, c_idle) | (~node172(c_s, s1))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 11.82/12.03 tff(7125,plain,
% 11.82/12.03 (~node172(c_s, s1)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7124, 7121, 6459])).
% 11.82/12.03 tff(7126,plain,
% 11.82/12.03 (^[Y: $i, X: $i, J0: $i] : refl((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7127,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7126])).
% 11.82/12.03 tff(7128,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7129,plain,
% 11.82/12.03 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node170(J0, X) | node171(J0, X)) | node172(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X)) | node173(J0, X)))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X)) | node173(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X))), ((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)))), (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)) | node174(J0, X, Y)))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)) | node174(J0, X, Y)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y))), (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)))), ((((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)) | (~node175(J0, X, Y))))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))), ((((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7130,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7129])).
% 11.82/12.03 tff(7131,axiom,(![Y: $i, X: $i, J0: $i] : (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_43')).
% 11.82/12.03 tff(7132,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 11.82/12.03 tff(7133,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7132, 7128])).
% 11.82/12.03 tff(7134,plain,(
% 11.82/12.03 ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7133])).
% 11.82/12.03 tff(7135,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7134, 7127])).
% 11.82/12.03 tff(7136,plain,
% 11.82/12.03 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7137,plain,
% 11.82/12.03 ((node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2))) <=> (node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7138,plain,
% 11.82/12.03 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2))))),
% 11.82/12.03 inference(monotonicity,[status(thm)],[7137])).
% 11.82/12.03 tff(7139,plain,
% 11.82/12.03 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))),
% 11.82/12.03 inference(transitivity,[status(thm)],[7138, 7136])).
% 11.82/12.03 tff(7140,plain,
% 11.82/12.03 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7141,plain,
% 11.82/12.03 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s1) | node170(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 11.82/12.03 tff(7142,plain,
% 11.82/12.03 (node174(c_s, s1, s2)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7141, 7135, 7125, 7114, 7103, 7092, 7067])).
% 11.82/12.03 tff(7143,plain,
% 11.82/12.03 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7144,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7143])).
% 11.82/12.03 tff(7145,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7146,plain,
% 11.82/12.03 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) <=> ((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))), (((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> (((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) | (~node174(J0, X, Y))))), rewrite((((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))), (((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7147,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7146])).
% 11.82/12.03 tff(7148,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_37')).
% 11.82/12.03 tff(7149,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 11.82/12.03 tff(7150,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7149, 7145])).
% 11.82/12.03 tff(7151,plain,(
% 11.82/12.03 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7150])).
% 11.82/12.03 tff(7152,plain,
% 11.82/12.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7151, 7144])).
% 11.82/12.03 tff(7153,plain,
% 11.82/12.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7154,plain,
% 11.82/12.03 (((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up)) <=> ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7155,plain,
% 11.82/12.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2))))),
% 11.82/12.03 inference(monotonicity,[status(thm)],[7154])).
% 11.82/12.03 tff(7156,plain,
% 11.82/12.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2)))),
% 11.82/12.03 inference(transitivity,[status(thm)],[7155, 7153])).
% 11.82/12.03 tff(7157,plain,
% 11.82/12.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7158,plain,
% 11.82/12.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up) | (~node174(c_s, s1, s2))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7157, 7156])).
% 11.82/12.03 tff(7159,plain,
% 11.82/12.03 (m_state_v_TEM(c_s, s2, c_up)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7158, 7152, 2503, 7142])).
% 11.82/12.03 tff(7160,plain,
% 11.82/12.03 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7161,plain,
% 11.82/12.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7162,plain,
% 11.82/12.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3)),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 11.82/12.03 tff(7163,plain,
% 11.82/12.03 (node175(c_s, s2, s3)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7162, 2435, 2482, 794])).
% 11.82/12.03 tff(7164,plain,
% 11.82/12.03 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node170(J0, X))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7165,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7164])).
% 11.82/12.03 tff(7166,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7167,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_24')).
% 11.82/12.03 tff(7168,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 11.82/12.03 tff(7169,plain,(
% 11.82/12.03 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7168])).
% 11.82/12.03 tff(7170,plain,
% 11.82/12.03 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7169, 7165])).
% 11.82/12.03 tff(7171,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s2)) | m_state_v_minRot(c_s, s2))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7172,plain,
% 11.82/12.03 ((m_state_v_minRot(c_s, s2) | (~node170(c_s, s2))) <=> ((~node170(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7173,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node170(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s2)) | m_state_v_minRot(c_s, s2)))),
% 11.82/12.03 inference(monotonicity,[status(thm)],[7172])).
% 11.82/12.03 tff(7174,plain,
% 11.82/12.03 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node170(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.03 inference(transitivity,[status(thm)],[7173, 7171])).
% 11.82/12.03 tff(7175,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node170(c_s, s2)))),
% 11.82/12.03 inference(quant_inst,[status(thm)],[])).
% 11.82/12.03 tff(7176,plain,
% 11.82/12.03 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s2)) | m_state_v_minRot(c_s, s2)),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 11.82/12.03 tff(7177,plain,
% 11.82/12.03 (~node170(c_s, s2)),
% 11.82/12.03 inference(unit_resolution,[status(thm)],[7176, 7170, 6700])).
% 11.82/12.03 tff(7178,plain,
% 11.82/12.03 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7179,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7178])).
% 11.82/12.03 tff(7180,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7181,plain,
% 11.82/12.03 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) <=> ((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X))), (((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) <=> (((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | (~m_state_v_topPos(J0, X))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X))), (((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)))), ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | m_state_v_TEM(J0, Y, c_idle)))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | m_state_v_TEM(J0, Y, c_idle)) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle))), ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)))), (((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))), (((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))))),
% 11.82/12.03 inference(bind,[status(th)],[])).
% 11.82/12.03 tff(7182,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(quant_intro,[status(thm)],[7181])).
% 11.82/12.03 tff(7183,axiom,(![Y: $i, X: $i, J0: $i] : ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_40')).
% 11.82/12.03 tff(7184,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 11.82/12.03 tff(7185,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7184, 7180])).
% 11.82/12.03 tff(7186,plain,(
% 11.82/12.03 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(skolemize,[status(sab)],[7185])).
% 11.82/12.03 tff(7187,plain,
% 11.82/12.03 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.82/12.03 inference(modus_ponens,[status(thm)],[7186, 7179])).
% 11.82/12.03 tff(7188,plain,
% 11.82/12.03 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7189,plain,
% 11.82/12.03 (((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3))) <=> ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.82/12.03 inference(rewrite,[status(thm)],[])).
% 11.82/12.03 tff(7190,plain,
% 11.82/12.03 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up))))),
% 11.82/12.04 inference(monotonicity,[status(thm)],[7189])).
% 11.82/12.04 tff(7191,plain,
% 11.82/12.04 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.82/12.04 inference(transitivity,[status(thm)],[7190, 7188])).
% 11.82/12.04 tff(7192,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7193,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7192, 7191])).
% 11.82/12.04 tff(7194,plain,
% 11.82/12.04 (m_state_v_TEM(c_s, s3, c_idle) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7193, 7187, 2525, 7177, 7163])).
% 11.82/12.04 tff(7195,plain,
% 11.82/12.04 (m_state_v_TEM(c_s, s3, c_idle)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7194, 7159])).
% 11.82/12.04 tff(7196,plain,
% 11.82/12.04 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7197,plain,
% 11.82/12.04 (((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle))) <=> ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7198,plain,
% 11.82/12.04 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up))))),
% 11.82/12.04 inference(monotonicity,[status(thm)],[7197])).
% 11.82/12.04 tff(7199,plain,
% 11.82/12.04 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.82/12.04 inference(transitivity,[status(thm)],[7198, 7196])).
% 11.82/12.04 tff(7200,plain,
% 11.82/12.04 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7201,plain,
% 11.82/12.04 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 11.82/12.04 tff(7202,plain,
% 11.82/12.04 (~m_state_v_TEM(c_s, s3, c_up)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7201, 1940, 7195])).
% 11.82/12.04 tff(7203,plain,
% 11.82/12.04 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7204,plain,
% 11.82/12.04 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7205,plain,
% 11.82/12.04 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 11.82/12.04 tff(7206,plain,
% 11.82/12.04 (~m_state_v_TEM(c_s, s3, c_down)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7205, 1929, 7195])).
% 11.82/12.04 tff(7207,plain,
% 11.82/12.04 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7208,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7207])).
% 11.82/12.04 tff(7209,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7210,plain,
% 11.82/12.04 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7211,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7210])).
% 11.82/12.04 tff(7212,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_23')).
% 11.82/12.04 tff(7213,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 11.82/12.04 tff(7214,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7213, 7209])).
% 11.82/12.04 tff(7215,plain,(
% 11.82/12.04 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(skolemize,[status(sab)],[7214])).
% 11.82/12.04 tff(7216,plain,
% 11.82/12.04 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7215, 7208])).
% 11.82/12.04 tff(7217,plain,
% 11.82/12.04 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7218,plain,
% 11.82/12.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7219,plain,
% 11.82/12.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4)),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 11.82/12.04 tff(7220,plain,
% 11.82/12.04 (node24(c_s, s3, s4)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7219, 28, 7216, 1179])).
% 11.82/12.04 tff(7221,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7222,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7221])).
% 11.82/12.04 tff(7223,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7224,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y))), ((((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> ((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y)) | (~node24(J0, X, Y))))), rewrite(((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))), ((((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7225,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7224])).
% 11.82/12.04 tff(7226,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_22')).
% 11.82/12.04 tff(7227,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7226, 7225])).
% 11.82/12.04 tff(7228,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7227, 7223])).
% 11.82/12.04 tff(7229,plain,(
% 11.82/12.04 ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(skolemize,[status(sab)],[7228])).
% 11.82/12.04 tff(7230,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7229, 7222])).
% 11.82/12.04 tff(7231,plain,
% 11.82/12.04 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7232,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7233,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7232, 7231])).
% 11.82/12.04 tff(7234,plain,
% 11.82/12.04 (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7233, 7230, 7220])).
% 11.82/12.04 tff(7235,plain,
% 11.82/12.04 (node23(c_s, s3, s4)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7234, 7206, 7202])).
% 11.82/12.04 tff(7236,plain,
% 11.82/12.04 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7237,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7236])).
% 11.82/12.04 tff(7238,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7239,plain,
% 11.82/12.04 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7240,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7239])).
% 11.82/12.04 tff(7241,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_38')).
% 11.82/12.04 tff(7242,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 11.82/12.04 tff(7243,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7242, 7238])).
% 11.82/12.04 tff(7244,plain,(
% 11.82/12.04 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(skolemize,[status(sab)],[7243])).
% 11.82/12.04 tff(7245,plain,
% 11.82/12.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7244, 7237])).
% 11.82/12.04 tff(7246,plain,
% 11.82/12.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7247,plain,
% 11.82/12.04 (((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down))) <=> (m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7248,plain,
% 11.82/12.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2))))),
% 11.82/12.04 inference(monotonicity,[status(thm)],[7247])).
% 11.82/12.04 tff(7249,plain,
% 11.82/12.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2)))),
% 11.82/12.04 inference(transitivity,[status(thm)],[7248, 7246])).
% 11.82/12.04 tff(7250,plain,
% 11.82/12.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7251,plain,
% 11.82/12.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)) | (~node174(c_s, s1, s2))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 11.82/12.04 tff(7252,plain,
% 11.82/12.04 (~m_state_v_TEM(c_s, s2, c_down)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7251, 7245, 7081, 7142])).
% 11.82/12.04 tff(7253,plain,
% 11.82/12.04 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7254,plain,
% 11.82/12.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7255,plain,
% 11.82/12.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3)),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 11.82/12.04 tff(7256,plain,
% 11.82/12.04 (node24(c_s, s2, s3)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7255, 28, 7216, 794])).
% 11.82/12.04 tff(7257,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7258,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7257])).
% 11.82/12.04 tff(7259,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7260,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) <=> (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down)) | (~m_state_v_botPos(J0, Y))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down)) | (~m_state_v_botPos(J0, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)))), (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))))), ((((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))), ((((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7261,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7260])).
% 11.82/12.04 tff(7262,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_21')).
% 11.82/12.04 tff(7263,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7262, 7261])).
% 11.82/12.04 tff(7264,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7263, 7259])).
% 11.82/12.04 tff(7265,plain,(
% 11.82/12.04 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(skolemize,[status(sab)],[7264])).
% 11.82/12.04 tff(7266,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7265, 7258])).
% 11.82/12.04 tff(7267,plain,
% 11.82/12.04 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7268,plain,
% 11.82/12.04 (((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3))) <=> ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7269,plain,
% 11.82/12.04 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3))))),
% 11.82/12.04 inference(monotonicity,[status(thm)],[7268])).
% 11.82/12.04 tff(7270,plain,
% 11.82/12.04 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.82/12.04 inference(transitivity,[status(thm)],[7269, 7267])).
% 11.82/12.04 tff(7271,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))),
% 11.82/12.04 inference(quant_inst,[status(thm)],[])).
% 11.82/12.04 tff(7272,plain,
% 11.82/12.04 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3))),
% 11.82/12.04 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 11.82/12.04 tff(7273,plain,
% 11.82/12.04 ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7272, 7266, 7256])).
% 11.82/12.04 tff(7274,plain,
% 11.82/12.04 (~m_state_v_botPos(c_s, s3)),
% 11.82/12.04 inference(unit_resolution,[status(thm)],[7273, 7159, 7252])).
% 11.82/12.04 tff(7275,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7276,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.04 inference(quant_intro,[status(thm)],[7275])).
% 11.82/12.04 tff(7277,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.04 inference(rewrite,[status(thm)],[])).
% 11.82/12.04 tff(7278,plain,
% 11.82/12.04 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y))) <=> (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))))),
% 11.82/12.04 inference(bind,[status(th)],[])).
% 11.82/12.04 tff(7279,plain,
% 11.82/12.04 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7278])).
% 11.82/12.05 tff(7280,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_19')).
% 11.82/12.05 tff(7281,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7280, 7279])).
% 11.82/12.05 tff(7282,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7281, 7277])).
% 11.82/12.05 tff(7283,plain,(
% 11.82/12.05 ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.05 inference(skolemize,[status(sab)],[7282])).
% 11.82/12.05 tff(7284,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7283, 7276])).
% 11.82/12.05 tff(7285,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7286,plain,
% 11.82/12.05 ((m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4))) <=> (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7287,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4))))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7286])).
% 11.82/12.05 tff(7288,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7287, 7285])).
% 11.82/12.05 tff(7289,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7290,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 11.82/12.05 tff(7291,plain,
% 11.82/12.05 (~m_state_v_botPos(c_s, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7290, 7284, 7274, 7235])).
% 11.82/12.05 tff(7292,plain,
% 11.82/12.05 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node173(J0, X))))),
% 11.82/12.05 inference(bind,[status(th)],[])).
% 11.82/12.05 tff(7293,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7292])).
% 11.82/12.05 tff(7294,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7295,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_36')).
% 11.82/12.05 tff(7296,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 11.82/12.05 tff(7297,plain,(
% 11.82/12.05 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.82/12.05 inference(skolemize,[status(sab)],[7296])).
% 11.82/12.05 tff(7298,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7297, 7293])).
% 11.82/12.05 tff(7299,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7300,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7301,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s4) | (~node173(c_s, s4))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 11.82/12.05 tff(7302,plain,
% 11.82/12.05 (~node173(c_s, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7301, 7298, 7291])).
% 11.82/12.05 tff(7303,plain,
% 11.82/12.05 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))))),
% 11.82/12.05 inference(bind,[status(th)],[])).
% 11.82/12.05 tff(7304,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7303])).
% 11.82/12.05 tff(7305,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7306,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_28')).
% 11.82/12.05 tff(7307,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 11.82/12.05 tff(7308,plain,(
% 11.82/12.05 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.82/12.05 inference(skolemize,[status(sab)],[7307])).
% 11.82/12.05 tff(7309,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7308, 7304])).
% 11.82/12.05 tff(7310,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7311,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7312,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7311, 7310])).
% 11.82/12.05 tff(7313,plain,
% 11.82/12.05 (~node171(c_s, s3)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7312, 7309, 7202])).
% 11.82/12.05 tff(7314,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7315,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7316,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s3) | (~node173(c_s, s3))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7315, 7314])).
% 11.82/12.05 tff(7317,plain,
% 11.82/12.05 (~node173(c_s, s3)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7316, 7298, 7274])).
% 11.82/12.05 tff(7318,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7319,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7320,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 11.82/12.05 tff(7321,plain,
% 11.82/12.05 (~node172(c_s, s3)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7320, 7055, 7032])).
% 11.82/12.05 tff(7322,assumption,(~node175(c_s, s3, s4)), introduced(assumption)).
% 11.82/12.05 tff(7323,plain,
% 11.82/12.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7324,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7325,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4)),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 11.82/12.05 tff(7326,plain,
% 11.82/12.05 ($false),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7325, 2435, 2482, 1179, 7322])).
% 11.82/12.05 tff(7327,plain,(node175(c_s, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 11.82/12.05 tff(7328,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7329,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7330,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node170(c_s, s3))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 11.82/12.05 tff(7331,plain,
% 11.82/12.05 (~node170(c_s, s3)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7330, 7170, 6567])).
% 11.82/12.05 tff(7332,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7333,plain,
% 11.82/12.05 ((node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4))) <=> (node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7334,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4)))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7333])).
% 11.82/12.05 tff(7335,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7334, 7332])).
% 11.82/12.05 tff(7336,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7337,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4)),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 11.82/12.05 tff(7338,plain,
% 11.82/12.05 (node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7337, 7135, 7331, 7327])).
% 11.82/12.05 tff(7339,plain,
% 11.82/12.05 (node174(c_s, s3, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7338, 7321, 7317, 7313])).
% 11.82/12.05 tff(7340,plain,
% 11.82/12.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7341,plain,
% 11.82/12.05 (((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up))) <=> (m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7342,plain,
% 11.82/12.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4))))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7341])).
% 11.82/12.05 tff(7343,plain,
% 11.82/12.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4)))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7342, 7340])).
% 11.82/12.05 tff(7344,plain,
% 11.82/12.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7345,plain,
% 11.82/12.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)) | (~node174(c_s, s3, s4))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 11.82/12.05 tff(7346,plain,
% 11.82/12.05 (~m_state_v_TEM(c_s, s4, c_up)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7345, 7245, 7202, 7339])).
% 11.82/12.05 tff(7347,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7348,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7349,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 11.82/12.05 tff(7350,plain,
% 11.82/12.05 (~node171(c_s, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7349, 7309, 7346])).
% 11.82/12.05 tff(7351,plain,
% 11.82/12.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7352,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7353,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4)),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 11.82/12.05 tff(7354,plain,
% 11.82/12.05 (node26(c_s, s3, s4)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7353, 28, 6545, 1179])).
% 11.82/12.05 tff(7355,plain,
% 11.82/12.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7356,plain,
% 11.82/12.05 (((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7357,plain,
% 11.82/12.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3)))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7356])).
% 11.82/12.05 tff(7358,plain,
% 11.82/12.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7357, 7355])).
% 11.82/12.05 tff(7359,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7360,plain,
% 11.82/12.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3)),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 11.82/12.05 tff(7361,plain,
% 11.82/12.05 (node169(c_s, s2, s3)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7360, 2435, 2432, 794])).
% 11.82/12.05 tff(7362,plain,
% 11.82/12.05 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node164(J0, X))))),
% 11.82/12.05 inference(bind,[status(th)],[])).
% 11.82/12.05 tff(7363,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7362])).
% 11.82/12.05 tff(7364,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7365,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_2')).
% 11.82/12.05 tff(7366,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 11.82/12.05 tff(7367,plain,(
% 11.82/12.05 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.82/12.05 inference(skolemize,[status(sab)],[7366])).
% 11.82/12.05 tff(7368,plain,
% 11.82/12.05 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7367, 7363])).
% 11.82/12.05 tff(7369,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s2)) | m_state_v_minRot(c_s, s2))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7370,plain,
% 11.82/12.05 ((m_state_v_minRot(c_s, s2) | (~node164(c_s, s2))) <=> ((~node164(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7371,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node164(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s2)) | m_state_v_minRot(c_s, s2)))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7370])).
% 11.82/12.05 tff(7372,plain,
% 11.82/12.05 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node164(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s2)) | m_state_v_minRot(c_s, s2))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7371, 7369])).
% 11.82/12.05 tff(7373,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node164(c_s, s2)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7374,plain,
% 11.82/12.05 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s2)) | m_state_v_minRot(c_s, s2)),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 11.82/12.05 tff(7375,plain,
% 11.82/12.05 (~node164(c_s, s2)),
% 11.82/12.05 inference(unit_resolution,[status(thm)],[7374, 7368, 6700])).
% 11.82/12.05 tff(7376,plain,
% 11.82/12.05 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))))),
% 11.82/12.05 inference(bind,[status(th)],[])).
% 11.82/12.05 tff(7377,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7376])).
% 11.82/12.05 tff(7378,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7379,plain,
% 11.82/12.05 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X))), (((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X)) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X)) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X))), (((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)))), ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)) | m_state_v_TRM(J0, Y, c_idle)))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle))), ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)))), (((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))), (((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))))),
% 11.82/12.05 inference(bind,[status(th)],[])).
% 11.82/12.05 tff(7380,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(quant_intro,[status(thm)],[7379])).
% 11.82/12.05 tff(7381,axiom,(![Y: $i, X: $i, J0: $i] : ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_18')).
% 11.82/12.05 tff(7382,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 11.82/12.05 tff(7383,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7382, 7378])).
% 11.82/12.05 tff(7384,plain,(
% 11.82/12.05 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(skolemize,[status(sab)],[7383])).
% 11.82/12.05 tff(7385,plain,
% 11.82/12.05 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7384, 7377])).
% 11.82/12.05 tff(7386,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7387,plain,
% 11.82/12.05 (((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3))) <=> ((~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise)))),
% 11.82/12.05 inference(rewrite,[status(thm)],[])).
% 11.82/12.05 tff(7388,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise))))),
% 11.82/12.05 inference(monotonicity,[status(thm)],[7387])).
% 11.82/12.05 tff(7389,plain,
% 11.82/12.05 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise)))),
% 11.82/12.05 inference(transitivity,[status(thm)],[7388, 7386])).
% 11.82/12.05 tff(7390,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))),
% 11.82/12.05 inference(quant_inst,[status(thm)],[])).
% 11.82/12.05 tff(7391,plain,
% 11.82/12.05 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | node164(c_s, s2) | (~node169(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.82/12.05 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 11.82/12.06 tff(7392,plain,
% 11.82/12.06 ((~m_state_v_maxRot(c_s, s2)) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7391, 7385, 7375, 7361])).
% 11.82/12.06 tff(7393,plain,
% 11.82/12.06 (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7392, 2472])).
% 11.82/12.06 tff(7394,plain,
% 11.82/12.06 (m_state_v_TRM(c_s, s3, c_idle)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7393, 6535])).
% 11.82/12.06 tff(7395,plain,
% 11.82/12.06 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7396,plain,
% 11.82/12.06 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7397,plain,
% 11.82/12.06 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 11.82/12.06 tff(7398,plain,
% 11.82/12.06 (~m_state_v_TRM(c_s, s3, c_counterclockwise)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7397, 6383, 7394])).
% 11.82/12.06 tff(7399,plain,
% 11.82/12.06 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7400,plain,
% 11.82/12.06 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7401,plain,
% 11.82/12.06 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 11.82/12.06 tff(7402,plain,
% 11.82/12.06 (~m_state_v_TRM(c_s, s3, c_clockwise)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7401, 6372, 7394])).
% 11.82/12.06 tff(7403,plain,
% 11.82/12.06 (^[Y: $i, X: $i, J0: $i] : refl((node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)))),
% 11.82/12.06 inference(bind,[status(th)],[])).
% 11.82/12.06 tff(7404,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(quant_intro,[status(thm)],[7403])).
% 11.82/12.06 tff(7405,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7406,plain,
% 11.82/12.06 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> (node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> (node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> ((node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | (~node26(J0, X, Y))))), rewrite(((node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | (~node26(J0, X, Y))) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))))),
% 11.82/12.06 inference(bind,[status(th)],[])).
% 11.82/12.06 tff(7407,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(quant_intro,[status(thm)],[7406])).
% 11.82/12.06 tff(7408,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_28')).
% 11.82/12.06 tff(7409,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 11.82/12.06 tff(7410,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7409, 7405])).
% 11.82/12.06 tff(7411,plain,(
% 11.82/12.06 ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(skolemize,[status(sab)],[7410])).
% 11.82/12.06 tff(7412,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7411, 7404])).
% 11.82/12.06 tff(7413,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7414,plain,
% 11.82/12.06 ((node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise)) <=> (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7415,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4)))),
% 11.82/12.06 inference(monotonicity,[status(thm)],[7414])).
% 11.82/12.06 tff(7416,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4))),
% 11.82/12.06 inference(transitivity,[status(thm)],[7415, 7413])).
% 11.82/12.06 tff(7417,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7418,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | node25(c_s, s3, s4)),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 11.82/12.06 tff(7419,plain,
% 11.82/12.06 (node25(c_s, s3, s4)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7418, 7412, 7402, 7398, 7354])).
% 11.82/12.06 tff(7420,plain,
% 11.82/12.06 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))))),
% 11.82/12.06 inference(bind,[status(th)],[])).
% 11.82/12.06 tff(7421,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(quant_intro,[status(thm)],[7420])).
% 11.82/12.06 tff(7422,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7423,plain,
% 11.82/12.06 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y))) <=> (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))))),
% 11.82/12.06 inference(bind,[status(th)],[])).
% 11.82/12.06 tff(7424,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(quant_intro,[status(thm)],[7423])).
% 11.82/12.06 tff(7425,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_25')).
% 11.82/12.06 tff(7426,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 11.82/12.06 tff(7427,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7426, 7422])).
% 11.82/12.06 tff(7428,plain,(
% 11.82/12.06 ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(skolemize,[status(sab)],[7427])).
% 11.82/12.06 tff(7429,plain,
% 11.82/12.06 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7428, 7421])).
% 11.82/12.06 tff(7430,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7431,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7432,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 11.82/12.06 tff(7433,plain,
% 11.82/12.06 (~m_state_v_minRot(c_s, s4)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7432, 7429, 6567, 7419])).
% 11.82/12.06 tff(7434,plain,
% 11.82/12.06 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7435,plain,
% 11.82/12.06 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7436,plain,
% 11.82/12.06 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node170(c_s, s4))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 11.82/12.06 tff(7437,plain,
% 11.82/12.06 (~node170(c_s, s4)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7436, 7170, 7433])).
% 11.82/12.06 tff(7438,plain,
% 11.82/12.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7439,plain,
% 11.82/12.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7440,plain,
% 11.82/12.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5)),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 11.82/12.06 tff(7441,plain,
% 11.82/12.06 (node175(c_s, s4, s5)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7440, 2435, 2482, 4253])).
% 11.82/12.06 tff(7442,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7443,plain,
% 11.82/12.06 ((node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5))) <=> (node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7444,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4)))),
% 11.82/12.06 inference(monotonicity,[status(thm)],[7443])).
% 11.82/12.06 tff(7445,plain,
% 11.82/12.06 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4))),
% 11.82/12.06 inference(transitivity,[status(thm)],[7444, 7442])).
% 11.82/12.06 tff(7446,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7447,plain,
% 11.82/12.06 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5) | node173(c_s, s4)),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 11.82/12.06 tff(7448,plain,
% 11.82/12.06 (node172(c_s, s4) | node170(c_s, s4) | node171(c_s, s4) | node174(c_s, s4, s5) | node173(c_s, s4)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7447, 7135, 7441])).
% 11.82/12.06 tff(7449,plain,
% 11.82/12.06 (node172(c_s, s4) | node174(c_s, s4, s5)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7448, 7437, 7350, 7302])).
% 11.82/12.06 tff(7450,plain,
% 11.82/12.06 (node174(c_s, s4, s5)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7449, 7063])).
% 11.82/12.06 tff(7451,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7452,plain,
% 11.82/12.06 (((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up))) <=> (m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7453,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5))))),
% 11.82/12.06 inference(monotonicity,[status(thm)],[7452])).
% 11.82/12.06 tff(7454,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5)))),
% 11.82/12.06 inference(transitivity,[status(thm)],[7453, 7451])).
% 11.82/12.06 tff(7455,plain,
% 11.82/12.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7456,plain,
% 11.82/12.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s4, s5))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7455, 7454])).
% 11.82/12.06 tff(7457,plain,
% 11.82/12.06 (~m_state_v_TEM(c_s, s5, c_up)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7456, 7245, 7346, 7450])).
% 11.82/12.06 tff(7458,plain,
% 11.82/12.06 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7459,plain,
% 11.82/12.06 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7460,plain,
% 11.82/12.06 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 11.82/12.06 tff(7461,plain,
% 11.82/12.06 (~node171(c_s, s5)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7460, 7309, 7457])).
% 11.82/12.06 tff(7462,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7463,plain,
% 11.82/12.06 (((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down))) <=> (m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4)))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7464,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4))))),
% 11.82/12.06 inference(monotonicity,[status(thm)],[7463])).
% 11.82/12.06 tff(7465,plain,
% 11.82/12.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4)))),
% 11.82/12.06 inference(transitivity,[status(thm)],[7464, 7462])).
% 11.82/12.06 tff(7466,plain,
% 11.82/12.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.82/12.06 inference(quant_inst,[status(thm)],[])).
% 11.82/12.06 tff(7467,plain,
% 11.82/12.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node174(c_s, s3, s4))),
% 11.82/12.06 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 11.82/12.06 tff(7468,plain,
% 11.82/12.06 (~m_state_v_TEM(c_s, s4, c_down)),
% 11.82/12.06 inference(unit_resolution,[status(thm)],[7467, 7245, 7206, 7339])).
% 11.82/12.06 tff(7469,plain,
% 11.82/12.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))),
% 11.82/12.06 inference(rewrite,[status(thm)],[])).
% 11.82/12.06 tff(7470,plain,
% 11.82/12.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))),
% 11.91/12.06 inference(quant_inst,[status(thm)],[])).
% 11.91/12.06 tff(7471,plain,
% 11.91/12.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5)),
% 11.91/12.06 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 11.91/12.06 tff(7472,plain,
% 11.91/12.06 (node24(c_s, s4, s5)),
% 11.91/12.06 inference(unit_resolution,[status(thm)],[7471, 28, 7216, 4253])).
% 11.91/12.06 tff(7473,plain,
% 11.91/12.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5))),
% 11.91/12.06 inference(rewrite,[status(thm)],[])).
% 11.91/12.06 tff(7474,plain,
% 11.91/12.06 ((m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5))) <=> (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5))),
% 11.91/12.06 inference(rewrite,[status(thm)],[])).
% 11.91/12.06 tff(7475,plain,
% 11.91/12.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5)))),
% 11.91/12.06 inference(monotonicity,[status(thm)],[7474])).
% 11.91/12.06 tff(7476,plain,
% 11.91/12.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7475, 7473])).
% 11.91/12.07 tff(7477,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7478,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node24(c_s, s4, s5)) | node23(c_s, s4, s5)),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7477, 7476])).
% 11.91/12.07 tff(7479,plain,
% 11.91/12.07 (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7478, 7230, 7472])).
% 11.91/12.07 tff(7480,plain,
% 11.91/12.07 (node23(c_s, s4, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7479, 7468, 7346])).
% 11.91/12.07 tff(7481,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7482,plain,
% 11.91/12.07 ((m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5))) <=> (m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7483,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7482])).
% 11.91/12.07 tff(7484,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7483, 7481])).
% 11.91/12.07 tff(7485,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7486,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s4) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s4, s5))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 11.91/12.07 tff(7487,plain,
% 11.91/12.07 (~m_state_v_botPos(c_s, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7486, 7284, 7291, 7480])).
% 11.91/12.07 tff(7488,plain,
% 11.91/12.07 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node170(J0, X))))),
% 11.91/12.07 inference(bind,[status(th)],[])).
% 11.91/12.07 tff(7489,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.91/12.07 inference(quant_intro,[status(thm)],[7488])).
% 11.91/12.07 tff(7490,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7491,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_23')).
% 11.91/12.07 tff(7492,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 11.91/12.07 tff(7493,plain,(
% 11.91/12.07 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.91/12.07 inference(skolemize,[status(sab)],[7492])).
% 11.91/12.07 tff(7494,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7493, 7489])).
% 11.91/12.07 tff(7495,plain,
% 11.91/12.07 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node170(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node170(c_s, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7496,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node170(c_s, s5)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7497,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node170(c_s, s5))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 11.91/12.07 tff(7498,plain,
% 11.91/12.07 (~node170(c_s, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7497, 7494, 7487])).
% 11.91/12.07 tff(7499,plain,
% 11.91/12.07 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7500,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7501,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node173(c_s, s5))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 11.91/12.07 tff(7502,plain,
% 11.91/12.07 (~node173(c_s, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7501, 7298, 7487])).
% 11.91/12.07 tff(7503,plain,
% 11.91/12.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7504,plain,
% 11.91/12.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7505,plain,
% 11.91/12.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6)),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 11.91/12.07 tff(7506,plain,
% 11.91/12.07 (node175(c_s, s5, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7505, 2435, 2482, 15])).
% 11.91/12.07 tff(7507,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7508,plain,
% 11.91/12.07 ((node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))) <=> (node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7509,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7508])).
% 11.91/12.07 tff(7510,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7509, 7507])).
% 11.91/12.07 tff(7511,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7512,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 11.91/12.07 tff(7513,plain,
% 11.91/12.07 (node172(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7512, 7135, 7506])).
% 11.91/12.07 tff(7514,plain,
% 11.91/12.07 (node172(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7513, 7502, 7498])).
% 11.91/12.07 tff(7515,plain,
% 11.91/12.07 (node172(c_s, s5) | node174(c_s, s5, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7514, 7461])).
% 11.91/12.07 tff(7516,plain,
% 11.91/12.07 (node174(c_s, s5, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7515, 7059])).
% 11.91/12.07 tff(7517,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7518,plain,
% 11.91/12.07 (((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down))) <=> (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7519,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7518])).
% 11.91/12.07 tff(7520,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7519, 7517])).
% 11.91/12.07 tff(7521,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7522,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node174(c_s, s4, s5))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 11.91/12.07 tff(7523,plain,
% 11.91/12.07 (~m_state_v_TEM(c_s, s5, c_down)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7522, 7245, 7468, 7450])).
% 11.91/12.07 tff(7524,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7525,plain,
% 11.91/12.07 (((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down))) <=> ((~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7526,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7525])).
% 11.91/12.07 tff(7527,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7526, 7524])).
% 11.91/12.07 tff(7528,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7529,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s6, c_down)) | m_state_v_TEM(c_s, s5, c_down) | (~node174(c_s, s5, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 11.91/12.07 tff(7530,plain,
% 11.91/12.07 (~m_state_v_TEM(c_s, s6, c_down)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7529, 7245, 7523, 7516])).
% 11.91/12.07 tff(7531,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7532,plain,
% 11.91/12.07 (((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up))) <=> (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7533,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7532])).
% 11.91/12.07 tff(7534,plain,
% 11.91/12.07 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7533, 7531])).
% 11.91/12.07 tff(7535,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7536,plain,
% 11.91/12.07 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 11.91/12.07 tff(7537,plain,
% 11.91/12.07 (~m_state_v_TEM(c_s, s6, c_up)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7536, 7245, 7457, 7516])).
% 11.91/12.07 tff(7538,assumption,(~m_state_v_TEM(c_s, s6, c_up)), introduced(assumption)).
% 11.91/12.07 tff(7539,assumption,(node172(c_s, s6)), introduced(assumption)).
% 11.91/12.07 tff(7540,plain,
% 11.91/12.07 (^[X: $i, J0: $i] : refl((m_state_v_topPos(J0, X) | (~node172(J0, X))) <=> (m_state_v_topPos(J0, X) | (~node172(J0, X))))),
% 11.91/12.07 inference(bind,[status(th)],[])).
% 11.91/12.07 tff(7541,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))),
% 11.91/12.07 inference(quant_intro,[status(thm)],[7540])).
% 11.91/12.07 tff(7542,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7543,axiom,(![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_30')).
% 11.91/12.07 tff(7544,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 11.91/12.07 tff(7545,plain,(
% 11.91/12.07 ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))),
% 11.91/12.07 inference(skolemize,[status(sab)],[7544])).
% 11.91/12.07 tff(7546,plain,
% 11.91/12.07 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7545, 7541])).
% 11.91/12.07 tff(7547,plain,
% 11.91/12.07 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))) | (m_state_v_topPos(c_s, s6) | (~node172(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))) | m_state_v_topPos(c_s, s6) | (~node172(c_s, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7548,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))) | (m_state_v_topPos(c_s, s6) | (~node172(c_s, s6)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7549,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node172(J0, X)))) | m_state_v_topPos(c_s, s6) | (~node172(c_s, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 11.91/12.07 tff(7550,plain,
% 11.91/12.07 (m_state_v_topPos(c_s, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7549, 7546, 7539])).
% 11.91/12.07 tff(7551,assumption,(~m_state_v_TEM(c_s, s6, c_down)), introduced(assumption)).
% 11.91/12.07 tff(7552,plain,
% 11.91/12.07 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7553,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7554,plain,
% 11.91/12.07 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 11.91/12.07 tff(7555,plain,
% 11.91/12.07 (~m_state_v_tl(c_s, s6)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7554, 7055, 7539])).
% 11.91/12.07 tff(7556,assumption,(node3(c_s, s5, s6)), introduced(assumption)).
% 11.91/12.07 tff(7557,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7558,plain,
% 11.91/12.07 (((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6)) <=> (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7559,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6))))),
% 11.91/12.07 inference(monotonicity,[status(thm)],[7558])).
% 11.91/12.07 tff(7560,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 11.91/12.07 inference(transitivity,[status(thm)],[7559, 7557])).
% 11.91/12.07 tff(7561,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7562,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 11.91/12.07 tff(7563,plain,
% 11.91/12.07 (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5))),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7562, 2287, 7556])).
% 11.91/12.07 tff(7564,plain,
% 11.91/12.07 (~m_state_v_tl(c_s, s5)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7563, 7555])).
% 11.91/12.07 tff(7565,assumption,(~node22(c_s, s2, s3)), introduced(assumption)).
% 11.91/12.07 tff(7566,plain,
% 11.91/12.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7567,plain,
% 11.91/12.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7568,plain,
% 11.91/12.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3)),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 11.91/12.07 tff(7569,plain,
% 11.91/12.07 ($false),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7568, 28, 1909, 794, 7565])).
% 11.91/12.07 tff(7570,plain,(node22(c_s, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 11.91/12.07 tff(7571,plain,
% 11.91/12.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.07 tff(7572,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.91/12.07 inference(quant_inst,[status(thm)],[])).
% 11.91/12.07 tff(7573,plain,
% 11.91/12.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.91/12.07 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 11.91/12.07 tff(7574,plain,
% 11.91/12.07 (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7573, 2517])).
% 11.91/12.07 tff(7575,plain,
% 11.91/12.07 (m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7574, 7570])).
% 11.91/12.07 tff(7576,plain,
% 11.91/12.07 (m_state_v_topPos(c_s, s3)),
% 11.91/12.07 inference(unit_resolution,[status(thm)],[7575, 7159])).
% 11.91/12.07 tff(7577,assumption,(~m_state_v_botPos(c_s, s6)), introduced(assumption)).
% 11.91/12.07 tff(7578,plain,
% 11.91/12.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))),
% 11.91/12.07 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7579,plain,
% 11.91/12.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7580,plain,
% 11.91/12.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6)),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7579, 7578])).
% 11.91/12.08 tff(7581,plain,
% 11.91/12.08 (node24(c_s, s5, s6)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7580, 28, 7216, 15])).
% 11.91/12.08 tff(7582,plain,
% 11.91/12.08 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y))))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7583,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7582])).
% 11.91/12.08 tff(7584,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7585,plain,
% 11.91/12.08 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y))))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7586,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7585])).
% 11.91/12.08 tff(7587,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_20')).
% 11.91/12.08 tff(7588,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 11.91/12.08 tff(7589,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7588, 7584])).
% 11.91/12.08 tff(7590,plain,(
% 11.91/12.08 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(skolemize,[status(sab)],[7589])).
% 11.91/12.08 tff(7591,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7590, 7583])).
% 11.91/12.08 tff(7592,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7593,plain,
% 11.91/12.08 (((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_botPos(c_s, s6) | (~node24(c_s, s5, s6))) <=> (m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7594,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_botPos(c_s, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6))))),
% 11.91/12.08 inference(monotonicity,[status(thm)],[7593])).
% 11.91/12.08 tff(7595,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_botPos(c_s, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6)))),
% 11.91/12.08 inference(transitivity,[status(thm)],[7594, 7592])).
% 11.91/12.08 tff(7596,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_botPos(c_s, s6) | (~node24(c_s, s5, s6)))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7597,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node24(c_s, s5, s6))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 11.91/12.08 tff(7598,plain,
% 11.91/12.08 (m_state_v_botPos(c_s, s6) | (~m_state_v_TEM(c_s, s5, c_down))),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7597, 7591, 7581])).
% 11.91/12.08 tff(7599,plain,
% 11.91/12.08 (~m_state_v_TEM(c_s, s5, c_down)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7598, 7577])).
% 11.91/12.08 tff(7600,assumption,(~m_state_v_tl(c_s, s5)), introduced(assumption)).
% 11.91/12.08 tff(7601,plain,
% 11.91/12.08 (^[X: $i, J0: $i] : refl((m_state_v_tl(J0, X) | (~node170(J0, X))) <=> (m_state_v_tl(J0, X) | (~node170(J0, X))))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7602,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7601])).
% 11.91/12.08 tff(7603,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7604,axiom,(![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_27')).
% 11.91/12.08 tff(7605,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 11.91/12.08 tff(7606,plain,(
% 11.91/12.08 ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))),
% 11.91/12.08 inference(skolemize,[status(sab)],[7605])).
% 11.91/12.08 tff(7607,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7606, 7602])).
% 11.91/12.08 tff(7608,plain,
% 11.91/12.08 (((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))) | (m_state_v_tl(c_s, s5) | (~node170(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))) | m_state_v_tl(c_s, s5) | (~node170(c_s, s5)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7609,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))) | (m_state_v_tl(c_s, s5) | (~node170(c_s, s5)))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7610,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node170(J0, X)))) | m_state_v_tl(c_s, s5) | (~node170(c_s, s5))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 11.91/12.08 tff(7611,plain,
% 11.91/12.08 (~node170(c_s, s5)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7610, 7607, 7600])).
% 11.91/12.08 tff(7612,plain,
% 11.91/12.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7613,plain,
% 11.91/12.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7614,plain,
% 11.91/12.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4)),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 11.91/12.08 tff(7615,plain,
% 11.91/12.08 (node22(c_s, s3, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7614, 28, 1909, 1179])).
% 11.91/12.08 tff(7616,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7617,plain,
% 11.91/12.08 ((node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down)) <=> (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7618,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4)))),
% 11.91/12.08 inference(monotonicity,[status(thm)],[7617])).
% 11.91/12.08 tff(7619,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4))),
% 11.91/12.08 inference(transitivity,[status(thm)],[7618, 7616])).
% 11.91/12.08 tff(7620,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7621,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | (~node22(c_s, s3, s4)) | node21(c_s, s3, s4)),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 11.91/12.08 tff(7622,plain,
% 11.91/12.08 (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node21(c_s, s3, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7621, 1957, 7615])).
% 11.91/12.08 tff(7623,plain,
% 11.91/12.08 (node21(c_s, s3, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7622, 7202, 7206])).
% 11.91/12.08 tff(7624,plain,
% 11.91/12.08 (^[Y: $i, X: $i, J0: $i] : refl(((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7625,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7624])).
% 11.91/12.08 tff(7626,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7627,plain,
% 11.91/12.08 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))), (((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> (((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) | (~node21(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))), (((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7628,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7627])).
% 11.91/12.08 tff(7629,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_12')).
% 11.91/12.08 tff(7630,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 11.91/12.08 tff(7631,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7630, 7626])).
% 11.91/12.08 tff(7632,plain,(
% 11.91/12.08 ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(skolemize,[status(sab)],[7631])).
% 11.91/12.08 tff(7633,plain,
% 11.91/12.08 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7632, 7625])).
% 11.91/12.08 tff(7634,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7635,plain,
% 11.91/12.08 (((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4)) <=> ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7636,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4))))),
% 11.91/12.08 inference(monotonicity,[status(thm)],[7635])).
% 11.91/12.08 tff(7637,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.91/12.08 inference(transitivity,[status(thm)],[7636, 7634])).
% 11.91/12.08 tff(7638,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7639,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7638, 7637])).
% 11.91/12.08 tff(7640,plain,
% 11.91/12.08 (m_state_v_topPos(c_s, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7639, 7633, 7576, 7623])).
% 11.91/12.08 tff(7641,assumption,(~m_state_v_TEM(c_s, s5, c_idle)), introduced(assumption)).
% 11.91/12.08 tff(7642,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7643,plain,
% 11.91/12.08 (((~m_state_v_topPos(c_s, s4)) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | m_state_v_TEM(c_s, s5, c_idle) | (~node175(c_s, s4, s5))) <=> ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7644,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s4)) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | m_state_v_TEM(c_s, s5, c_idle) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5))))),
% 11.91/12.08 inference(monotonicity,[status(thm)],[7643])).
% 11.91/12.08 tff(7645,plain,
% 11.91/12.08 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s4)) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | m_state_v_TEM(c_s, s5, c_idle) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5)))),
% 11.91/12.08 inference(transitivity,[status(thm)],[7644, 7642])).
% 11.91/12.08 tff(7646,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s4)) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | m_state_v_TEM(c_s, s5, c_idle) | (~node175(c_s, s4, s5)))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7647,plain,
% 11.91/12.08 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4) | (~node175(c_s, s4, s5))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 11.91/12.08 tff(7648,plain,
% 11.91/12.08 ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_up)) | node170(c_s, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7647, 7187, 7441])).
% 11.91/12.08 tff(7649,plain,
% 11.91/12.08 (~m_state_v_TEM(c_s, s4, c_up)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7648, 7641, 7640, 7437])).
% 11.91/12.08 tff(7650,plain,
% 11.91/12.08 (~node171(c_s, s4)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7349, 7309, 7649])).
% 11.91/12.08 tff(7651,plain,
% 11.91/12.08 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X))) <=> (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X))))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7652,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7651])).
% 11.91/12.08 tff(7653,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7654,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_32')).
% 11.91/12.08 tff(7655,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 11.91/12.08 tff(7656,plain,(
% 11.91/12.08 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.91/12.08 inference(skolemize,[status(sab)],[7655])).
% 11.91/12.08 tff(7657,plain,
% 11.91/12.08 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7656, 7652])).
% 11.91/12.08 tff(7658,plain,
% 11.91/12.08 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TEM(c_s, s5, c_idle) | (~node172(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TEM(c_s, s5, c_idle) | (~node172(c_s, s5)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7659,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TEM(c_s, s5, c_idle) | (~node172(c_s, s5)))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7660,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TEM(c_s, s5, c_idle) | (~node172(c_s, s5))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7659, 7658])).
% 11.91/12.08 tff(7661,plain,
% 11.91/12.08 (~node172(c_s, s5)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7660, 7657, 7641])).
% 11.91/12.08 tff(7662,assumption,(~m_state_v_TEM(c_s, s5, c_down)), introduced(assumption)).
% 11.91/12.08 tff(7663,plain,
% 11.91/12.08 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s5, c_down) | (~node173(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s5, c_down) | (~node173(c_s, s5)))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7664,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s5, c_down) | (~node173(c_s, s5)))),
% 11.91/12.08 inference(quant_inst,[status(thm)],[])).
% 11.91/12.08 tff(7665,plain,
% 11.91/12.08 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s5, c_down) | (~node173(c_s, s5))),
% 11.91/12.08 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 11.91/12.08 tff(7666,plain,
% 11.91/12.08 (~node173(c_s, s5)),
% 11.91/12.08 inference(unit_resolution,[status(thm)],[7665, 7088, 7662])).
% 11.91/12.08 tff(7667,assumption,(~node170(c_s, s5)), introduced(assumption)).
% 11.91/12.08 tff(7668,plain,
% 11.91/12.08 (^[I0: $i, X: $i] : refl((m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)) <=> (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)))),
% 11.91/12.08 inference(bind,[status(th)],[])).
% 11.91/12.08 tff(7669,plain,
% 11.91/12.08 (![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.91/12.08 inference(quant_intro,[status(thm)],[7668])).
% 11.91/12.08 tff(7670,plain,
% 11.91/12.08 (![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.91/12.08 inference(rewrite,[status(thm)],[])).
% 11.91/12.08 tff(7671,plain,
% 11.91/12.08 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_state_v_TEM(I0, X, c_up) | m_state_v_TEM(I0, X, c_down)) <=> (m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))), (((m_state_v_TEM(I0, X, c_up) | m_state_v_TEM(I0, X, c_down)) | m_state_v_TEM(I0, X, c_idle)) <=> ((m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)) | m_state_v_TEM(I0, X, c_idle)))), rewrite(((m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up)) | m_state_v_TEM(I0, X, c_idle)) <=> (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))), (((m_state_v_TEM(I0, X, c_up) | m_state_v_TEM(I0, X, c_down)) | m_state_v_TEM(I0, X, c_idle)) <=> (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))))),
% 11.93/12.08 inference(bind,[status(th)],[])).
% 11.93/12.08 tff(7672,plain,
% 11.93/12.08 (![I0: $i, X: $i] : ((m_state_v_TEM(I0, X, c_up) | m_state_v_TEM(I0, X, c_down)) | m_state_v_TEM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.93/12.08 inference(quant_intro,[status(thm)],[7671])).
% 11.93/12.08 tff(7673,axiom,(![I0: $i, X: $i] : ((m_state_v_TEM(I0, X, c_up) | m_state_v_TEM(I0, X, c_down)) | m_state_v_TEM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_35')).
% 11.93/12.08 tff(7674,plain,
% 11.93/12.08 (![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.93/12.08 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 11.93/12.08 tff(7675,plain,
% 11.93/12.08 (![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.93/12.08 inference(modus_ponens,[status(thm)],[7674, 7670])).
% 11.93/12.08 tff(7676,plain,(
% 11.93/12.08 ![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.93/12.08 inference(skolemize,[status(sab)],[7675])).
% 11.93/12.08 tff(7677,plain,
% 11.93/12.08 (![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))),
% 11.93/12.08 inference(modus_ponens,[status(thm)],[7676, 7669])).
% 11.93/12.08 tff(7678,plain,
% 11.93/12.08 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))),
% 11.93/12.08 inference(rewrite,[status(thm)],[])).
% 11.93/12.08 tff(7679,plain,
% 11.93/12.08 ((m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up)) <=> (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))),
% 11.93/12.08 inference(rewrite,[status(thm)],[])).
% 11.93/12.08 tff(7680,plain,
% 11.93/12.08 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down)))),
% 11.93/12.08 inference(monotonicity,[status(thm)],[7679])).
% 11.93/12.08 tff(7681,plain,
% 11.93/12.08 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))),
% 11.93/12.08 inference(transitivity,[status(thm)],[7680, 7678])).
% 11.93/12.08 tff(7682,plain,
% 11.93/12.08 ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up))),
% 11.93/12.08 inference(quant_inst,[status(thm)],[])).
% 11.93/12.08 tff(7683,plain,
% 11.93/12.08 ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down)),
% 11.93/12.08 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 11.93/12.08 tff(7684,plain,
% 11.93/12.08 (m_state_v_TEM(c_s, s5, c_idle) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down)),
% 11.93/12.08 inference(unit_resolution,[status(thm)],[7683, 7677])).
% 11.93/12.08 tff(7685,plain,
% 11.93/12.08 (m_state_v_TEM(c_s, s5, c_up)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7684, 7641, 7662])).
% 11.93/12.09 tff(7686,assumption,(node174(c_s, s5, s6)), introduced(assumption)).
% 11.93/12.09 tff(7687,assumption,(m_state_v_TEM(c_s, s5, c_up)), introduced(assumption)).
% 11.93/12.09 tff(7688,plain,
% 11.93/12.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7689,plain,
% 11.93/12.09 (((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s6, c_up)) <=> (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7690,plain,
% 11.93/12.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s6, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6))))),
% 11.93/12.09 inference(monotonicity,[status(thm)],[7689])).
% 11.93/12.09 tff(7691,plain,
% 11.93/12.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s6, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6)))),
% 11.93/12.09 inference(transitivity,[status(thm)],[7690, 7688])).
% 11.93/12.09 tff(7692,plain,
% 11.93/12.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s6, c_up))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7693,plain,
% 11.93/12.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node174(c_s, s5, s6))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 11.93/12.09 tff(7694,plain,
% 11.93/12.09 ($false),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7693, 7152, 7538, 7687, 7686])).
% 11.93/12.09 tff(7695,plain,((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s5, c_up))), inference(lemma,lemma(discharge,[]))).
% 11.93/12.09 tff(7696,plain,
% 11.93/12.09 (~node174(c_s, s5, s6)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7695, 7685, 7538])).
% 11.93/12.09 tff(7697,plain,
% 11.93/12.09 (node171(c_s, s5)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7513, 7696, 7667, 7666, 7661])).
% 11.93/12.09 tff(7698,plain,
% 11.93/12.09 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s5) | (~node171(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s5) | (~node171(c_s, s5)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7699,plain,
% 11.93/12.09 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s5) | (~node171(c_s, s5)))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7700,plain,
% 11.93/12.09 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s5) | (~node171(c_s, s5))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 11.93/12.09 tff(7701,plain,
% 11.93/12.09 (m_state_v_topPos(c_s, s5)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7700, 7099, 7697])).
% 11.93/12.09 tff(7702,plain,
% 11.93/12.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7703,plain,
% 11.93/12.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7704,plain,
% 11.93/12.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5)),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7703, 7702])).
% 11.93/12.09 tff(7705,plain,
% 11.93/12.09 (node22(c_s, s4, s5)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7704, 28, 1909, 4253])).
% 11.93/12.09 tff(7706,plain,
% 11.93/12.09 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))))),
% 11.93/12.09 inference(bind,[status(th)],[])).
% 11.93/12.09 tff(7707,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(quant_intro,[status(thm)],[7706])).
% 11.93/12.09 tff(7708,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7709,plain,
% 11.93/12.09 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> (m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))))), rewrite(((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))))), ((((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> (((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~node22(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~node22(J0, X, Y))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), ((((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))))),
% 11.93/12.09 inference(bind,[status(th)],[])).
% 11.93/12.09 tff(7710,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(quant_intro,[status(thm)],[7709])).
% 11.93/12.09 tff(7711,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_15')).
% 11.93/12.09 tff(7712,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 11.93/12.09 tff(7713,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7712, 7708])).
% 11.93/12.09 tff(7714,plain,(
% 11.93/12.09 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(skolemize,[status(sab)],[7713])).
% 11.93/12.09 tff(7715,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7714, 7707])).
% 11.93/12.09 tff(7716,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7717,plain,
% 11.93/12.09 (((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down))) <=> ((~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7718,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5))))),
% 11.93/12.09 inference(monotonicity,[status(thm)],[7717])).
% 11.93/12.09 tff(7719,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5)))),
% 11.93/12.09 inference(transitivity,[status(thm)],[7718, 7716])).
% 11.93/12.09 tff(7720,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7721,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down)) | (~node22(c_s, s4, s5))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 11.93/12.09 tff(7722,plain,
% 11.93/12.09 ((~m_state_v_topPos(c_s, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7721, 7715, 7705])).
% 11.93/12.09 tff(7723,plain,
% 11.93/12.09 (~m_state_v_TEM(c_s, s4, c_down)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7722, 7701, 7649])).
% 11.93/12.09 tff(7724,plain,
% 11.93/12.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7725,plain,
% 11.93/12.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7726,plain,
% 11.93/12.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3)),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 11.93/12.09 tff(7727,plain,
% 11.93/12.09 (node28(c_s, s2, s3)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7726, 28, 2384, 794])).
% 11.93/12.09 tff(7728,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7729,plain,
% 11.93/12.09 (((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3))) <=> (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7730,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3))))),
% 11.93/12.09 inference(monotonicity,[status(thm)],[7729])).
% 11.93/12.09 tff(7731,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 11.93/12.09 inference(transitivity,[status(thm)],[7730, 7728])).
% 11.93/12.09 tff(7732,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7733,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 11.93/12.09 tff(7734,plain,
% 11.93/12.09 (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7733, 2468, 7727])).
% 11.93/12.09 tff(7735,plain,
% 11.93/12.09 (m_state_v_maxRot(c_s, s3)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7734, 6535])).
% 11.93/12.09 tff(7736,plain,
% 11.93/12.09 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)))),
% 11.93/12.09 inference(bind,[status(th)],[])).
% 11.93/12.09 tff(7737,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(quant_intro,[status(thm)],[7736])).
% 11.93/12.09 tff(7738,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7739,plain,
% 11.93/12.09 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)))), (((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), (((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), ((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), ((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), (((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_tl(J0, X)))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), (((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_TEM(J0, Y, c_down)))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down))), ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)))), (((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))), (((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))))),
% 11.93/12.09 inference(bind,[status(th)],[])).
% 11.93/12.09 tff(7740,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(quant_intro,[status(thm)],[7739])).
% 11.93/12.09 tff(7741,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_41')).
% 11.93/12.09 tff(7742,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 11.93/12.09 tff(7743,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7742, 7738])).
% 11.93/12.09 tff(7744,plain,(
% 11.93/12.09 ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(skolemize,[status(sab)],[7743])).
% 11.93/12.09 tff(7745,plain,
% 11.93/12.09 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7744, 7737])).
% 11.93/12.09 tff(7746,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7747,plain,
% 11.93/12.09 ((m_state_v_tl(c_s, s3) | (~m_state_v_topPos(c_s, s3)) | (~m_state_v_maxRot(c_s, s3)) | node170(c_s, s3) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_idle)) | node171(c_s, s3) | (~node175(c_s, s3, s4)) | m_state_v_TEM(c_s, s4, c_down)) <=> ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4)))),
% 11.93/12.09 inference(rewrite,[status(thm)],[])).
% 11.93/12.09 tff(7748,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s3) | (~m_state_v_topPos(c_s, s3)) | (~m_state_v_maxRot(c_s, s3)) | node170(c_s, s3) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_idle)) | node171(c_s, s3) | (~node175(c_s, s3, s4)) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4))))),
% 11.93/12.09 inference(monotonicity,[status(thm)],[7747])).
% 11.93/12.09 tff(7749,plain,
% 11.93/12.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s3) | (~m_state_v_topPos(c_s, s3)) | (~m_state_v_maxRot(c_s, s3)) | node170(c_s, s3) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_idle)) | node171(c_s, s3) | (~node175(c_s, s3, s4)) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4)))),
% 11.93/12.09 inference(transitivity,[status(thm)],[7748, 7746])).
% 11.93/12.09 tff(7750,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s3) | (~m_state_v_topPos(c_s, s3)) | (~m_state_v_maxRot(c_s, s3)) | node170(c_s, s3) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_idle)) | node171(c_s, s3) | (~node175(c_s, s3, s4)) | m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.09 inference(quant_inst,[status(thm)],[])).
% 11.93/12.09 tff(7751,plain,
% 11.93/12.09 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4))),
% 11.93/12.09 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 11.93/12.09 tff(7752,plain,
% 11.93/12.09 ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~m_state_v_maxRot(c_s, s3)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node170(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4))),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7751, 7745])).
% 11.93/12.09 tff(7753,plain,
% 11.93/12.09 ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node171(c_s, s3) | (~node175(c_s, s3, s4))),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7752, 7735, 7394, 7331])).
% 11.93/12.09 tff(7754,plain,
% 11.93/12.09 ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_tl(c_s, s3) | node171(c_s, s3)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7753, 7327])).
% 11.93/12.09 tff(7755,plain,
% 11.93/12.09 (m_state_v_tl(c_s, s3)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7754, 7723, 7576, 7195, 7313])).
% 11.93/12.09 tff(7756,plain,
% 11.93/12.09 (m_state_v_tl(c_s, s4) | (~m_state_v_tl(c_s, s3))),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7038, 2287, 6999])).
% 11.93/12.09 tff(7757,plain,
% 11.93/12.09 (m_state_v_tl(c_s, s4)),
% 11.93/12.09 inference(unit_resolution,[status(thm)],[7756, 7755])).
% 11.93/12.10 tff(7758,plain,
% 11.93/12.10 (~node172(c_s, s4)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7062, 7055, 7757])).
% 11.93/12.10 tff(7759,plain,
% 11.93/12.10 (node174(c_s, s4, s5)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7448, 7758, 7437, 7650, 7302])).
% 11.93/12.10 tff(7760,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7761,plain,
% 11.93/12.10 ((m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_TEM(c_s, s4, c_up)) <=> (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7762,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_TEM(c_s, s4, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down)))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7761])).
% 11.93/12.10 tff(7763,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_TEM(c_s, s4, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7762, 7760])).
% 11.93/12.10 tff(7764,plain,
% 11.93/12.10 ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_down) | m_state_v_TEM(c_s, s4, c_up))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7765,plain,
% 11.93/12.10 ((~![I0: $i, X: $i] : (m_state_v_TEM(I0, X, c_idle) | m_state_v_TEM(I0, X, c_down) | m_state_v_TEM(I0, X, c_up))) | m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down)),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 11.93/12.10 tff(7766,plain,
% 11.93/12.10 (m_state_v_TEM(c_s, s4, c_idle) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7765, 7677])).
% 11.93/12.10 tff(7767,plain,
% 11.93/12.10 (m_state_v_TEM(c_s, s4, c_idle)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7766, 7723, 7649])).
% 11.93/12.10 tff(7768,plain,
% 11.93/12.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7769,plain,
% 11.93/12.10 (((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle)) <=> ((~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7770,plain,
% 11.93/12.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5))))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7769])).
% 11.93/12.10 tff(7771,plain,
% 11.93/12.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5)))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7770, 7768])).
% 11.93/12.10 tff(7772,plain,
% 11.93/12.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7773,plain,
% 11.93/12.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle) | (~node174(c_s, s4, s5))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 11.93/12.10 tff(7774,plain,
% 11.93/12.10 ($false),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7773, 7152, 7767, 7641, 7759])).
% 11.93/12.10 tff(7775,plain,(m_state_v_TEM(c_s, s5, c_idle) | (~node3(c_s, s3, s4)) | node170(c_s, s5) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s5, c_down)), inference(lemma,lemma(discharge,[]))).
% 11.93/12.10 tff(7776,plain,
% 11.93/12.10 (m_state_v_TEM(c_s, s5, c_idle)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7775, 7599, 7611, 7538, 6999])).
% 11.93/12.10 tff(7777,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7778,plain,
% 11.93/12.10 (((~m_state_v_TEM(c_s, s5, c_up)) | (~m_state_v_TEM(c_s, s5, c_idle))) <=> ((~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7779,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | (~m_state_v_TEM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up))))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7778])).
% 11.93/12.10 tff(7780,plain,
% 11.93/12.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | (~m_state_v_TEM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7779, 7777])).
% 11.93/12.10 tff(7781,plain,
% 11.93/12.10 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | (~m_state_v_TEM(c_s, s5, c_idle)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7782,plain,
% 11.93/12.10 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_up))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7781, 7780])).
% 11.93/12.10 tff(7783,plain,
% 11.93/12.10 (~m_state_v_TEM(c_s, s5, c_up)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7782, 1940, 7776])).
% 11.93/12.10 tff(7784,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7785,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7786,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 11.93/12.10 tff(7787,plain,
% 11.93/12.10 (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7786, 7230, 7581])).
% 11.93/12.10 tff(7788,plain,
% 11.93/12.10 (node23(c_s, s5, s6)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7787, 7783, 7599])).
% 11.93/12.10 tff(7789,plain,
% 11.93/12.10 (^[Y: $i, X: $i, J0: $i] : refl(((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)) <=> ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)))),
% 11.93/12.10 inference(bind,[status(th)],[])).
% 11.93/12.10 tff(7790,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(quant_intro,[status(thm)],[7789])).
% 11.93/12.10 tff(7791,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7792,plain,
% 11.93/12.10 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_botPos(J0, Y) | (~m_state_v_botPos(J0, X))) <=> ((~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))), (((m_state_v_botPos(J0, Y) | (~m_state_v_botPos(J0, X))) | (~node23(J0, X, Y))) <=> (((~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)) | (~node23(J0, X, Y))))), rewrite((((~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y)) | (~node23(J0, X, Y))) <=> ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))), (((m_state_v_botPos(J0, Y) | (~m_state_v_botPos(J0, X))) | (~node23(J0, X, Y))) <=> ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))))),
% 11.93/12.10 inference(bind,[status(th)],[])).
% 11.93/12.10 tff(7793,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((m_state_v_botPos(J0, Y) | (~m_state_v_botPos(J0, X))) | (~node23(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(quant_intro,[status(thm)],[7792])).
% 11.93/12.10 tff(7794,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_botPos(J0, Y) | (~m_state_v_botPos(J0, X))) | (~node23(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_18')).
% 11.93/12.10 tff(7795,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 11.93/12.10 tff(7796,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7795, 7791])).
% 11.93/12.10 tff(7797,plain,(
% 11.93/12.10 ![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(skolemize,[status(sab)],[7796])).
% 11.93/12.10 tff(7798,plain,
% 11.93/12.10 (![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7797, 7790])).
% 11.93/12.10 tff(7799,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7800,plain,
% 11.93/12.10 (((~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s6)) <=> (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7801,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | ((~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6))))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7800])).
% 11.93/12.10 tff(7802,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | ((~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6)))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7801, 7799])).
% 11.93/12.10 tff(7803,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | ((~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s6))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7804,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : ((~node23(J0, X, Y)) | (~m_state_v_botPos(J0, X)) | m_state_v_botPos(J0, Y))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s5)) | (~node23(c_s, s5, s6))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 11.93/12.10 tff(7805,plain,
% 11.93/12.10 (~m_state_v_botPos(c_s, s5)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7804, 7798, 7577, 7788])).
% 11.93/12.10 tff(7806,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | (~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7807,plain,
% 11.93/12.10 (((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_botPos(c_s, s5) | (~node24(c_s, s4, s5))) <=> ((~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7808,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_botPos(c_s, s5) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down))))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7807])).
% 11.93/12.10 tff(7809,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_botPos(c_s, s5) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | (~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7808, 7806])).
% 11.93/12.10 tff(7810,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_botPos(c_s, s5) | (~node24(c_s, s4, s5)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7811,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_down)) | m_state_v_botPos(J0, Y) | (~node24(J0, X, Y)))) | (~node24(c_s, s4, s5)) | m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 11.93/12.10 tff(7812,plain,
% 11.93/12.10 (m_state_v_botPos(c_s, s5) | (~m_state_v_TEM(c_s, s4, c_down))),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7811, 7591, 7472])).
% 11.93/12.10 tff(7813,plain,
% 11.93/12.10 (~m_state_v_TEM(c_s, s4, c_down)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7812, 7805])).
% 11.93/12.10 tff(7814,plain,
% 11.93/12.10 (m_state_v_tl(c_s, s3)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7754, 7813, 7576, 7195, 7313])).
% 11.93/12.10 tff(7815,plain,
% 11.93/12.10 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node166(J0, X))))),
% 11.93/12.10 inference(bind,[status(th)],[])).
% 11.93/12.10 tff(7816,plain,
% 11.93/12.10 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.93/12.10 inference(quant_intro,[status(thm)],[7815])).
% 11.93/12.10 tff(7817,plain,
% 11.93/12.10 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7818,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_12')).
% 11.93/12.10 tff(7819,plain,
% 11.93/12.10 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 11.93/12.10 tff(7820,plain,(
% 11.93/12.10 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.93/12.10 inference(skolemize,[status(sab)],[7819])).
% 11.93/12.10 tff(7821,plain,
% 11.93/12.10 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7820, 7816])).
% 11.93/12.10 tff(7822,plain,
% 11.93/12.10 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7823,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7824,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 11.93/12.10 tff(7825,plain,
% 11.93/12.10 (~node166(c_s, s3)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7824, 7821, 7814])).
% 11.93/12.10 tff(7826,plain,
% 11.93/12.10 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))))),
% 11.93/12.10 inference(bind,[status(th)],[])).
% 11.93/12.10 tff(7827,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.93/12.10 inference(quant_intro,[status(thm)],[7826])).
% 11.93/12.10 tff(7828,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7829,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_6')).
% 11.93/12.10 tff(7830,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 11.93/12.10 tff(7831,plain,(
% 11.93/12.10 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.93/12.10 inference(skolemize,[status(sab)],[7830])).
% 11.93/12.10 tff(7832,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7831, 7827])).
% 11.93/12.10 tff(7833,plain,
% 11.93/12.10 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7834,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7835,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 11.93/12.10 tff(7836,plain,
% 11.93/12.10 (~node165(c_s, s3)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7835, 7832, 7402])).
% 11.93/12.10 tff(7837,plain,
% 11.93/12.10 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node167(J0, X))))),
% 11.93/12.10 inference(bind,[status(th)],[])).
% 11.93/12.10 tff(7838,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.93/12.10 inference(quant_intro,[status(thm)],[7837])).
% 11.93/12.10 tff(7839,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7840,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_14')).
% 11.93/12.10 tff(7841,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 11.93/12.10 tff(7842,plain,(
% 11.93/12.10 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.93/12.10 inference(skolemize,[status(sab)],[7841])).
% 11.93/12.10 tff(7843,plain,
% 11.93/12.10 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7842, 7838])).
% 11.93/12.10 tff(7844,plain,
% 11.93/12.10 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7845,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7846,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node167(c_s, s3))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 11.93/12.10 tff(7847,plain,
% 11.93/12.10 (~node167(c_s, s3)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7846, 7843, 6567])).
% 11.93/12.10 tff(7848,plain,
% 11.93/12.10 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7849,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7850,plain,
% 11.93/12.10 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node164(c_s, s3))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 11.93/12.10 tff(7851,plain,
% 11.93/12.10 (~node164(c_s, s3)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7850, 7368, 6567])).
% 11.93/12.10 tff(7852,plain,
% 11.93/12.10 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7853,plain,
% 11.93/12.10 (((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7854,plain,
% 11.93/12.10 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4)))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7853])).
% 11.93/12.10 tff(7855,plain,
% 11.93/12.10 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7854, 7852])).
% 11.93/12.10 tff(7856,plain,
% 11.93/12.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7857,plain,
% 11.93/12.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s3, s4)),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 11.93/12.10 tff(7858,plain,
% 11.93/12.10 (node169(c_s, s3, s4)),
% 11.93/12.10 inference(unit_resolution,[status(thm)],[7857, 2435, 2432, 1179])).
% 11.93/12.10 tff(7859,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7860,plain,
% 11.93/12.10 ((node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4))) <=> (node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.93/12.10 inference(rewrite,[status(thm)],[])).
% 11.93/12.10 tff(7861,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4))))),
% 11.93/12.10 inference(monotonicity,[status(thm)],[7860])).
% 11.93/12.10 tff(7862,plain,
% 11.93/12.10 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.93/12.10 inference(transitivity,[status(thm)],[7861, 7859])).
% 11.93/12.10 tff(7863,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.93/12.10 inference(quant_inst,[status(thm)],[])).
% 11.93/12.10 tff(7864,plain,
% 11.93/12.10 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4))),
% 11.93/12.10 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 11.93/12.11 tff(7865,plain,
% 11.93/12.11 (node164(c_s, s3) | node166(c_s, s3) | node165(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7864, 6494, 7858])).
% 11.93/12.11 tff(7866,plain,
% 11.93/12.11 (node166(c_s, s3) | node168(c_s, s3, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7865, 7851, 7847, 7836])).
% 11.93/12.11 tff(7867,plain,
% 11.93/12.11 (node168(c_s, s3, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7866, 7825])).
% 11.93/12.11 tff(7868,assumption,(node168(c_s, s3, s4)), introduced(assumption)).
% 11.93/12.11 tff(7869,assumption,(~m_state_v_TRM(c_s, s4, c_idle)), introduced(assumption)).
% 11.93/12.11 tff(7870,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7871,plain,
% 11.93/12.11 (((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle)) <=> ((~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7872,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7871])).
% 11.93/12.11 tff(7873,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7872, 7870])).
% 11.93/12.11 tff(7874,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7875,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle) | (~node168(c_s, s3, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 11.93/12.11 tff(7876,plain,
% 11.93/12.11 ($false),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7875, 6528, 7394, 7869, 7868])).
% 11.93/12.11 tff(7877,plain,((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.93/12.11 tff(7878,plain,
% 11.93/12.11 (m_state_v_TRM(c_s, s4, c_idle)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7877, 7867])).
% 11.93/12.11 tff(7879,plain,
% 11.93/12.11 (m_state_v_tl(c_s, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7756, 7814])).
% 11.93/12.11 tff(7880,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7881,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7882,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 11.93/12.11 tff(7883,plain,
% 11.93/12.11 (~node166(c_s, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7882, 7821, 7879])).
% 11.93/12.11 tff(7884,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7885,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7886,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node164(c_s, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7885, 7884])).
% 11.93/12.11 tff(7887,plain,
% 11.93/12.11 (~node164(c_s, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7886, 7368, 7433])).
% 11.93/12.11 tff(7888,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7889,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7890,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node167(c_s, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 11.93/12.11 tff(7891,plain,
% 11.93/12.11 (~node167(c_s, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7890, 7843, 7433])).
% 11.93/12.11 tff(7892,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7893,plain,
% 11.93/12.11 (((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise))) <=> (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7894,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7893])).
% 11.93/12.11 tff(7895,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7894, 7892])).
% 11.93/12.11 tff(7896,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7897,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 11.93/12.11 tff(7898,plain,
% 11.93/12.11 (~m_state_v_TRM(c_s, s4, c_clockwise)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7897, 6511, 7402, 7867])).
% 11.93/12.11 tff(7899,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | ((~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7900,plain,
% 11.93/12.11 ((m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4))) <=> ((~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7901,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | ((~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise)))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7900])).
% 11.93/12.11 tff(7902,plain,
% 11.93/12.11 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7901, 7899])).
% 11.93/12.11 tff(7903,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7904,plain,
% 11.93/12.11 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (~node165(c_s, s4)) | m_state_v_TRM(c_s, s4, c_clockwise)),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 11.93/12.11 tff(7905,plain,
% 11.93/12.11 (~node165(c_s, s4)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7904, 7832, 7898])).
% 11.93/12.11 tff(7906,plain,
% 11.93/12.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7907,plain,
% 11.93/12.11 (((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7908,plain,
% 11.93/12.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5)))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7907])).
% 11.93/12.11 tff(7909,plain,
% 11.93/12.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7908, 7906])).
% 11.93/12.11 tff(7910,plain,
% 11.93/12.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7911,plain,
% 11.93/12.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5)),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 11.93/12.11 tff(7912,plain,
% 11.93/12.11 (node169(c_s, s4, s5)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7911, 2435, 2432, 4253])).
% 11.93/12.11 tff(7913,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7914,plain,
% 11.93/12.11 ((node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))) <=> (node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7915,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7914])).
% 11.93/12.11 tff(7916,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7915, 7913])).
% 11.93/12.11 tff(7917,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7918,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 11.93/12.11 tff(7919,plain,
% 11.93/12.11 (node166(c_s, s4) | node165(c_s, s4) | node164(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7918, 6494, 7912])).
% 11.93/12.11 tff(7920,plain,
% 11.93/12.11 (node168(c_s, s4, s5)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7919, 7905, 7891, 7887, 7883])).
% 11.93/12.11 tff(7921,plain,
% 11.93/12.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7922,plain,
% 11.93/12.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7923,plain,
% 11.93/12.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6)),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 11.93/12.11 tff(7924,plain,
% 11.93/12.11 (node22(c_s, s5, s6)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7923, 28, 1909, 15])).
% 11.93/12.11 tff(7925,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7926,plain,
% 11.93/12.11 ((node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down)) <=> (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7927,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7926])).
% 11.93/12.11 tff(7928,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7927, 7925])).
% 11.93/12.11 tff(7929,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7930,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 11.93/12.11 tff(7931,plain,
% 11.93/12.11 (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node21(c_s, s5, s6)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7930, 1957, 7924])).
% 11.93/12.11 tff(7932,plain,
% 11.93/12.11 (node21(c_s, s5, s6)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7931, 7783, 7599])).
% 11.93/12.11 tff(7933,assumption,(m_state_v_topPos(c_s, s6)), introduced(assumption)).
% 11.93/12.11 tff(7934,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7935,plain,
% 11.93/12.11 (((~node21(c_s, s5, s6)) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6))) <=> (m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7936,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s5, s6)) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7935])).
% 11.93/12.11 tff(7937,plain,
% 11.93/12.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s5, s6)) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7936, 7934])).
% 11.93/12.11 tff(7938,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s5, s6)) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7939,plain,
% 11.93/12.11 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s5) | (~m_state_v_topPos(c_s, s6)) | (~node21(c_s, s5, s6))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 11.93/12.11 tff(7940,plain,
% 11.93/12.11 (m_state_v_topPos(c_s, s5)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7939, 1983, 7933, 7932])).
% 11.93/12.11 tff(7941,plain,
% 11.93/12.11 (~node171(c_s, s5)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7460, 7309, 7783])).
% 11.93/12.11 tff(7942,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7943,plain,
% 11.93/12.11 (((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(rewrite,[status(thm)],[])).
% 11.93/12.11 tff(7944,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4))))),
% 11.93/12.11 inference(monotonicity,[status(thm)],[7943])).
% 11.93/12.11 tff(7945,plain,
% 11.93/12.11 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4)))),
% 11.93/12.11 inference(transitivity,[status(thm)],[7944, 7942])).
% 11.93/12.11 tff(7946,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))),
% 11.93/12.11 inference(quant_inst,[status(thm)],[])).
% 11.93/12.11 tff(7947,plain,
% 11.93/12.11 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)) | (~node168(c_s, s3, s4))),
% 11.93/12.11 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 11.93/12.11 tff(7948,plain,
% 11.93/12.11 (~m_state_v_TRM(c_s, s4, c_counterclockwise)),
% 11.93/12.11 inference(unit_resolution,[status(thm)],[7947, 6511, 7398, 7867])).
% 11.93/12.11 tff(7949,plain,
% 11.93/12.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7950,plain,
% 11.96/12.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7951,plain,
% 11.96/12.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5)),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 11.96/12.12 tff(7952,plain,
% 11.96/12.12 (node28(c_s, s4, s5)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7951, 28, 2384, 4253])).
% 11.96/12.12 tff(7953,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7954,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7955,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 11.96/12.12 tff(7956,plain,
% 11.96/12.12 (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7955, 6397, 7952])).
% 11.96/12.12 tff(7957,plain,
% 11.96/12.12 (node27(c_s, s4, s5)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7956, 7948, 7898])).
% 11.96/12.12 tff(7958,plain,
% 11.96/12.12 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7959,plain,
% 11.96/12.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7960,plain,
% 11.96/12.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4)),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 11.96/12.12 tff(7961,plain,
% 11.96/12.12 (node28(c_s, s3, s4)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7960, 28, 2384, 1179])).
% 11.96/12.12 tff(7962,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7963,plain,
% 11.96/12.12 ((m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4))) <=> (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7964,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[7963])).
% 11.96/12.12 tff(7965,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 11.96/12.12 inference(transitivity,[status(thm)],[7964, 7962])).
% 11.96/12.12 tff(7966,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7967,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_clockwise) | m_state_v_TRM(c_s, s3, c_counterclockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 11.96/12.12 tff(7968,plain,
% 11.96/12.12 (node27(c_s, s3, s4)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7967, 6397, 7402, 7398, 7961])).
% 11.96/12.12 tff(7969,plain,
% 11.96/12.12 (^[Y: $i, X: $i, J0: $i] : refl(((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)))),
% 11.96/12.12 inference(bind,[status(th)],[])).
% 11.96/12.12 tff(7970,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(quant_intro,[status(thm)],[7969])).
% 11.96/12.12 tff(7971,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7972,plain,
% 11.96/12.12 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))), (((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> (((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) | (~node27(J0, X, Y))))), rewrite((((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) | (~node27(J0, X, Y))) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))), (((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))))),
% 11.96/12.12 inference(bind,[status(th)],[])).
% 11.96/12.12 tff(7973,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(quant_intro,[status(thm)],[7972])).
% 11.96/12.12 tff(7974,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_30')).
% 11.96/12.12 tff(7975,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 11.96/12.12 tff(7976,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7975, 7971])).
% 11.96/12.12 tff(7977,plain,(
% 11.96/12.12 ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(skolemize,[status(sab)],[7976])).
% 11.96/12.12 tff(7978,plain,
% 11.96/12.12 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7977, 7970])).
% 11.96/12.12 tff(7979,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7980,plain,
% 11.96/12.12 (((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4)) <=> ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7981,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[7980])).
% 11.96/12.12 tff(7982,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 11.96/12.12 inference(transitivity,[status(thm)],[7981, 7979])).
% 11.96/12.12 tff(7983,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7984,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 11.96/12.12 tff(7985,plain,
% 11.96/12.12 (m_state_v_maxRot(c_s, s4)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7984, 7978, 7735, 7968])).
% 11.96/12.12 tff(7986,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7987,plain,
% 11.96/12.12 (((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5)) <=> ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7988,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[7987])).
% 11.96/12.12 tff(7989,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 11.96/12.12 inference(transitivity,[status(thm)],[7988, 7986])).
% 11.96/12.12 tff(7990,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7991,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 11.96/12.12 tff(7992,plain,
% 11.96/12.12 (m_state_v_maxRot(c_s, s5)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7991, 7978, 7985, 7957])).
% 11.96/12.12 tff(7993,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7994,plain,
% 11.96/12.12 ((m_state_v_tl(c_s, s5) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_maxRot(c_s, s5)) | node170(c_s, s5) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | node171(c_s, s5) | (~node175(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_down)) <=> (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(7995,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s5) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_maxRot(c_s, s5)) | node170(c_s, s5) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | node171(c_s, s5) | (~node175(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[7994])).
% 11.96/12.12 tff(7996,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s5) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_maxRot(c_s, s5)) | node170(c_s, s5) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | node171(c_s, s5) | (~node175(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6)))),
% 11.96/12.12 inference(transitivity,[status(thm)],[7995, 7993])).
% 11.96/12.12 tff(7997,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s5) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_maxRot(c_s, s5)) | node170(c_s, s5) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | node171(c_s, s5) | (~node175(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_down))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(7998,plain,
% 11.96/12.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | (~node175(c_s, s5, s6))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 11.96/12.12 tff(7999,plain,
% 11.96/12.12 (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_maxRot(c_s, s5)) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_tl(c_s, s5) | node170(c_s, s5) | node171(c_s, s5)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7998, 7745, 7506])).
% 11.96/12.12 tff(8000,plain,
% 11.96/12.12 (~m_state_v_TRM(c_s, s5, c_idle)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[7999, 7992, 7551, 7611, 7776, 7941, 7940, 7600])).
% 11.96/12.12 tff(8001,assumption,(node168(c_s, s4, s5)), introduced(assumption)).
% 11.96/12.12 tff(8002,assumption,(m_state_v_TRM(c_s, s4, c_idle)), introduced(assumption)).
% 11.96/12.12 tff(8003,assumption,(~m_state_v_TRM(c_s, s5, c_idle)), introduced(assumption)).
% 11.96/12.12 tff(8004,plain,
% 11.96/12.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(8005,plain,
% 11.96/12.12 (((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle)) <=> ((~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(8006,plain,
% 11.96/12.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[8005])).
% 11.96/12.12 tff(8007,plain,
% 11.96/12.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5)))),
% 11.96/12.12 inference(transitivity,[status(thm)],[8006, 8004])).
% 11.96/12.12 tff(8008,plain,
% 11.96/12.12 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))),
% 11.96/12.12 inference(quant_inst,[status(thm)],[])).
% 11.96/12.12 tff(8009,plain,
% 11.96/12.12 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle) | (~node168(c_s, s4, s5))),
% 11.96/12.12 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 11.96/12.12 tff(8010,plain,
% 11.96/12.12 ($false),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[8009, 6528, 8003, 8002, 8001])).
% 11.96/12.12 tff(8011,plain,((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 11.96/12.12 tff(8012,plain,
% 11.96/12.12 ($false),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[8011, 8000, 7920, 7878])).
% 11.96/12.12 tff(8013,plain,(m_state_v_botPos(c_s, s6) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_tl(c_s, s5) | (~node3(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s6, c_up)), inference(lemma,lemma(discharge,[]))).
% 11.96/12.12 tff(8014,plain,
% 11.96/12.12 (m_state_v_botPos(c_s, s6)),
% 11.96/12.12 inference(unit_resolution,[status(thm)],[8013, 7564, 7551, 6999, 7550, 7538])).
% 11.96/12.12 tff(8015,assumption,(~m_state_v_TEM(c_s, s5, c_up)), introduced(assumption)).
% 11.96/12.12 tff(8016,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(8017,plain,
% 11.96/12.12 (((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down))) <=> ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6)))),
% 11.96/12.12 inference(rewrite,[status(thm)],[])).
% 11.96/12.12 tff(8018,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6))))),
% 11.96/12.12 inference(monotonicity,[status(thm)],[8017])).
% 11.96/12.12 tff(8019,plain,
% 11.96/12.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6)))),
% 11.96/12.13 inference(transitivity,[status(thm)],[8018, 8016])).
% 11.96/12.13 tff(8020,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)))),
% 11.96/12.13 inference(quant_inst,[status(thm)],[])).
% 11.96/12.13 tff(8021,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down)) | (~node22(c_s, s5, s6))),
% 11.96/12.13 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 11.96/12.13 tff(8022,plain,
% 11.96/12.13 ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s5, c_down))),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[8021, 7715, 7924])).
% 11.96/12.13 tff(8023,plain,
% 11.96/12.13 (~m_state_v_TEM(c_s, s5, c_down)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[8022, 8015, 7933])).
% 11.96/12.13 tff(8024,plain,
% 11.96/12.13 (node23(c_s, s5, s6)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[7787, 8015, 8023])).
% 11.96/12.13 tff(8025,assumption,(m_state_v_botPos(c_s, s6)), introduced(assumption)).
% 11.96/12.13 tff(8026,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)))),
% 11.96/12.13 inference(rewrite,[status(thm)],[])).
% 11.96/12.13 tff(8027,plain,
% 11.96/12.13 ((m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6))) <=> ((~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)))),
% 11.96/12.13 inference(rewrite,[status(thm)],[])).
% 11.96/12.13 tff(8028,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6))))),
% 11.96/12.13 inference(monotonicity,[status(thm)],[8027])).
% 11.96/12.13 tff(8029,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)))),
% 11.96/12.13 inference(transitivity,[status(thm)],[8028, 8026])).
% 11.96/12.13 tff(8030,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))),
% 11.96/12.13 inference(quant_inst,[status(thm)],[])).
% 11.96/12.13 tff(8031,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6))),
% 11.96/12.13 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 11.96/12.13 tff(8032,plain,
% 11.96/12.13 (m_state_v_botPos(c_s, s5)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[8031, 7284, 8025, 8024])).
% 11.96/12.13 tff(8033,plain,
% 11.96/12.13 (node21(c_s, s5, s6)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[7931, 8023, 8015])).
% 11.96/12.13 tff(8034,plain,
% 11.96/12.13 (m_state_v_topPos(c_s, s5)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[7939, 1983, 7933, 8033])).
% 11.96/12.13 tff(8035,assumption,(m_state_v_TEM(c_s, s4, c_down)), introduced(assumption)).
% 11.96/12.13 tff(8036,assumption,(m_state_v_topPos(c_s, s5)), introduced(assumption)).
% 11.96/12.13 tff(8037,plain,
% 11.96/12.13 (m_state_v_TEM(c_s, s4, c_up)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[7722, 8035, 8036])).
% 11.96/12.13 tff(8038,plain,
% 11.96/12.13 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s4, c_down)) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.96/12.13 inference(rewrite,[status(thm)],[])).
% 11.96/12.13 tff(8039,plain,
% 11.96/12.13 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.96/12.13 inference(quant_inst,[status(thm)],[])).
% 11.96/12.13 tff(8040,plain,
% 11.96/12.13 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s4, c_down)) | (~m_state_v_TEM(c_s, s4, c_up))),
% 11.96/12.13 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 11.96/12.13 tff(8041,plain,
% 11.96/12.13 ($false),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[8040, 7077, 8037, 8035])).
% 11.96/12.13 tff(8042,plain,((~m_state_v_TEM(c_s, s4, c_down)) | (~m_state_v_topPos(c_s, s5))), inference(lemma,lemma(discharge,[]))).
% 11.96/12.13 tff(8043,plain,
% 11.96/12.13 (~m_state_v_TEM(c_s, s4, c_down)),
% 11.96/12.13 inference(unit_resolution,[status(thm)],[8042, 8034])).
% 11.96/12.13 tff(8044,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.96/12.13 inference(rewrite,[status(thm)],[])).
% 11.96/12.13 tff(8045,plain,
% 11.96/12.13 (((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5))) <=> (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.96/12.13 inference(rewrite,[status(thm)],[])).
% 11.96/12.13 tff(8046,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up))))),
% 11.96/12.13 inference(monotonicity,[status(thm)],[8045])).
% 11.96/12.13 tff(8047,plain,
% 11.96/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.96/12.13 inference(transitivity,[status(thm)],[8046, 8044])).
% 11.96/12.13 tff(8048,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)))),
% 11.96/12.13 inference(quant_inst,[status(thm)],[])).
% 11.96/12.13 tff(8049,plain,
% 11.96/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~node24(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_up))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8048, 8047])).
% 11.97/12.13 tff(8050,plain,
% 11.97/12.13 (m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_botPos(c_s, s5)) | (~m_state_v_TEM(c_s, s4, c_up))),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8049, 7266, 7472])).
% 11.97/12.13 tff(8051,plain,
% 11.97/12.13 (~m_state_v_TEM(c_s, s4, c_up)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8050, 8043, 8032])).
% 11.97/12.13 tff(8052,plain,
% 11.97/12.13 (node23(c_s, s4, s5)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[7479, 8051, 8043])).
% 11.97/12.13 tff(8053,plain,
% 11.97/12.13 ($false),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[7486, 7284, 7291, 8052, 8032])).
% 11.97/12.13 tff(8054,plain,(m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_topPos(c_s, s6)) | (~m_state_v_botPos(c_s, s6))), inference(lemma,lemma(discharge,[]))).
% 11.97/12.13 tff(8055,plain,
% 11.97/12.13 (m_state_v_TEM(c_s, s5, c_up)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8054, 7550, 8014])).
% 11.97/12.13 tff(8056,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8057,plain,
% 11.97/12.13 (((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_botPos(c_s, s6)) | (~node24(c_s, s5, s6))) <=> ((~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8058,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_botPos(c_s, s6)) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6))))),
% 11.97/12.13 inference(monotonicity,[status(thm)],[8057])).
% 11.97/12.13 tff(8059,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_botPos(c_s, s6)) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6)))),
% 11.97/12.13 inference(transitivity,[status(thm)],[8058, 8056])).
% 11.97/12.13 tff(8060,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_botPos(c_s, s6)) | (~node24(c_s, s5, s6)))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8061,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up)) | (~node24(c_s, s5, s6))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8060, 8059])).
% 11.97/12.13 tff(8062,plain,
% 11.97/12.13 ((~m_state_v_botPos(c_s, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s5, c_up))),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8061, 7266, 7581])).
% 11.97/12.13 tff(8063,plain,
% 11.97/12.13 (m_state_v_TEM(c_s, s5, c_down)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8062, 8055, 8014])).
% 11.97/12.13 tff(8064,plain,
% 11.97/12.13 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s5, c_down)) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8065,plain,
% 11.97/12.13 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8066,plain,
% 11.97/12.13 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s5, c_down)) | (~m_state_v_TEM(c_s, s5, c_up))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 11.97/12.13 tff(8067,plain,
% 11.97/12.13 ($false),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8066, 7077, 8055, 8063])).
% 11.97/12.13 tff(8068,plain,((~node172(c_s, s6)) | m_state_v_TEM(c_s, s6, c_down) | (~node3(c_s, s3, s4)) | m_state_v_TEM(c_s, s6, c_up) | (~node3(c_s, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 11.97/12.13 tff(8069,plain,
% 11.97/12.13 ((~node172(c_s, s6)) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node3(c_s, s5, s6))),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8068, 6998])).
% 11.97/12.13 tff(8070,plain,
% 11.97/12.13 ((~node172(c_s, s6)) | (~node3(c_s, s5, s6))),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8069, 7537, 7530])).
% 11.97/12.13 tff(8071,plain,
% 11.97/12.13 (~node172(c_s, s6)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8070, 6945])).
% 11.97/12.13 tff(8072,plain,
% 11.97/12.13 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8073,plain,
% 11.97/12.13 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8074,plain,
% 11.97/12.13 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 11.97/12.13 tff(8075,plain,
% 11.97/12.13 (~node171(c_s, s6)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8074, 7309, 7537])).
% 11.97/12.13 tff(8076,plain,
% 11.97/12.13 (node21(c_s, s5, s6)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[7931, 7523, 7457])).
% 11.97/12.13 tff(8077,assumption,(node21(c_s, s5, s6)), introduced(assumption)).
% 11.97/12.13 tff(8078,assumption,(~m_state_v_topPos(c_s, s6)), introduced(assumption)).
% 11.97/12.13 tff(8079,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8080,plain,
% 11.97/12.13 ((node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down)) <=> (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8081,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5))))),
% 11.97/12.13 inference(monotonicity,[status(thm)],[8080])).
% 11.97/12.13 tff(8082,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5)))),
% 11.97/12.13 inference(transitivity,[status(thm)],[8081, 8079])).
% 11.97/12.13 tff(8083,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8084,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5) | (~node22(c_s, s4, s5))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 11.97/12.13 tff(8085,plain,
% 11.97/12.13 (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8084, 1957, 7705])).
% 11.97/12.13 tff(8086,plain,
% 11.97/12.13 (node21(c_s, s4, s5)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8085, 7468, 7346])).
% 11.97/12.13 tff(8087,assumption,(node21(c_s, s4, s5)), introduced(assumption)).
% 11.97/12.13 tff(8088,assumption,(~m_state_v_topPos(c_s, s5)), introduced(assumption)).
% 11.97/12.13 tff(8089,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8090,plain,
% 11.97/12.13 (((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5)) <=> ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8091,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5))))),
% 11.97/12.13 inference(monotonicity,[status(thm)],[8090])).
% 11.97/12.13 tff(8092,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.97/12.13 inference(transitivity,[status(thm)],[8091, 8089])).
% 11.97/12.13 tff(8093,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8094,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 11.97/12.13 tff(8095,plain,
% 11.97/12.13 ($false),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8094, 7633, 7640, 8088, 8087])).
% 11.97/12.13 tff(8096,plain,((~node21(c_s, s4, s5)) | m_state_v_topPos(c_s, s5)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.13 tff(8097,plain,
% 11.97/12.13 (m_state_v_topPos(c_s, s5)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8096, 8086])).
% 11.97/12.13 tff(8098,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8099,plain,
% 11.97/12.13 (((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6)) <=> ((~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6)))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8100,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6))))),
% 11.97/12.13 inference(monotonicity,[status(thm)],[8099])).
% 11.97/12.13 tff(8101,plain,
% 11.97/12.13 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6)))),
% 11.97/12.13 inference(transitivity,[status(thm)],[8100, 8098])).
% 11.97/12.13 tff(8102,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8103,plain,
% 11.97/12.13 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6) | (~node21(c_s, s5, s6))),
% 11.97/12.13 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 11.97/12.13 tff(8104,plain,
% 11.97/12.13 ($false),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8103, 7633, 8097, 8078, 8077])).
% 11.97/12.13 tff(8105,plain,((~node21(c_s, s5, s6)) | m_state_v_topPos(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.13 tff(8106,plain,
% 11.97/12.13 (m_state_v_topPos(c_s, s6)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8105, 8076])).
% 11.97/12.13 tff(8107,plain,
% 11.97/12.13 (~m_state_v_botPos(c_s, s6)),
% 11.97/12.13 inference(unit_resolution,[status(thm)],[8054, 8106, 7457])).
% 11.97/12.13 tff(8108,plain,
% 11.97/12.13 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s6)) | m_state_v_botPos(c_s, s6))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8109,plain,
% 11.97/12.13 ((m_state_v_botPos(c_s, s6) | (~node170(c_s, s6))) <=> ((~node170(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.13 inference(rewrite,[status(thm)],[])).
% 11.97/12.13 tff(8110,plain,
% 11.97/12.13 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node170(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s6)) | m_state_v_botPos(c_s, s6)))),
% 11.97/12.13 inference(monotonicity,[status(thm)],[8109])).
% 11.97/12.13 tff(8111,plain,
% 11.97/12.13 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node170(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.13 inference(transitivity,[status(thm)],[8110, 8108])).
% 11.97/12.13 tff(8112,plain,
% 11.97/12.13 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node170(c_s, s6)))),
% 11.97/12.13 inference(quant_inst,[status(thm)],[])).
% 11.97/12.13 tff(8113,plain,
% 11.97/12.13 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s6)) | m_state_v_botPos(c_s, s6)),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 11.97/12.14 tff(8114,plain,
% 11.97/12.14 (~node170(c_s, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8113, 7494, 8107])).
% 11.97/12.14 tff(8115,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8116,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8117,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s6) | (~node173(c_s, s6))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 11.97/12.14 tff(8118,plain,
% 11.97/12.14 (~node173(c_s, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8117, 7298, 8107])).
% 11.97/12.14 tff(8119,plain,
% 11.97/12.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8120,plain,
% 11.97/12.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8121,plain,
% 11.97/12.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7)),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 11.97/12.14 tff(8122,plain,
% 11.97/12.14 (node175(c_s, s6, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8121, 2435, 2482, 5162])).
% 11.97/12.14 tff(8123,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8124,plain,
% 11.97/12.14 ((node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7))) <=> (node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8125,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7)))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8124])).
% 11.97/12.14 tff(8126,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8125, 8123])).
% 11.97/12.14 tff(8127,plain,
% 11.97/12.14 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8128,plain,
% 11.97/12.14 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | (~node175(c_s, s6, s7)) | node174(c_s, s6, s7)),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 11.97/12.14 tff(8129,plain,
% 11.97/12.14 (node172(c_s, s6) | node170(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8128, 7135, 8122])).
% 11.97/12.14 tff(8130,plain,
% 11.97/12.14 (node172(c_s, s6) | node171(c_s, s6) | node174(c_s, s6, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8129, 8118, 8114])).
% 11.97/12.14 tff(8131,plain,
% 11.97/12.14 (node172(c_s, s6) | node174(c_s, s6, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8130, 8075])).
% 11.97/12.14 tff(8132,plain,
% 11.97/12.14 (node174(c_s, s6, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8131, 8071])).
% 11.97/12.14 tff(8133,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8134,plain,
% 11.97/12.14 (((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up))) <=> (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8135,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7))))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8134])).
% 11.97/12.14 tff(8136,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8135, 8133])).
% 11.97/12.14 tff(8137,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8138,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 11.97/12.14 tff(8139,plain,
% 11.97/12.14 (~m_state_v_TEM(c_s, s7, c_up)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8138, 7245, 7537, 8132])).
% 11.97/12.14 tff(8140,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8141,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8142,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8141, 8140])).
% 11.97/12.14 tff(8143,plain,
% 11.97/12.14 (~node171(c_s, s7)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8142, 7309, 8139])).
% 11.97/12.14 tff(8144,plain,
% 11.97/12.14 (m_state_v_tl(c_s, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7562, 2287, 7048, 6945])).
% 11.97/12.14 tff(8145,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8146,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8147,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 11.97/12.14 tff(8148,plain,
% 11.97/12.14 (~node166(c_s, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8147, 7821, 8144])).
% 11.97/12.14 tff(8149,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8150,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8151,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 11.97/12.14 tff(8152,plain,
% 11.97/12.14 (~node166(c_s, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8151, 7821, 7048])).
% 11.97/12.14 tff(8153,plain,
% 11.97/12.14 (~node166(c_s, s4)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7882, 7821, 7041])).
% 11.97/12.14 tff(8154,plain,
% 11.97/12.14 (~node166(c_s, s3)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7824, 7821, 7032])).
% 11.97/12.14 tff(8155,plain,
% 11.97/12.14 (node168(c_s, s3, s4)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7866, 8154])).
% 11.97/12.14 tff(8156,plain,
% 11.97/12.14 (~m_state_v_TRM(c_s, s4, c_clockwise)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7897, 6511, 7402, 8155])).
% 11.97/12.14 tff(8157,plain,
% 11.97/12.14 (~node165(c_s, s4)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7904, 7832, 8156])).
% 11.97/12.14 tff(8158,plain,
% 11.97/12.14 (node166(c_s, s4) | node168(c_s, s4, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7919, 7891, 7887, 8157])).
% 11.97/12.14 tff(8159,plain,
% 11.97/12.14 (node168(c_s, s4, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8158, 8153])).
% 11.97/12.14 tff(8160,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8161,plain,
% 11.97/12.14 (((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8162,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5))))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8161])).
% 11.97/12.14 tff(8163,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8162, 8160])).
% 11.97/12.14 tff(8164,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8165,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 11.97/12.14 tff(8166,plain,
% 11.97/12.14 (~m_state_v_TRM(c_s, s5, c_clockwise)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8165, 6511, 8156, 8159])).
% 11.97/12.14 tff(8167,plain,
% 11.97/12.14 (~m_state_v_TRM(c_s, s4, c_counterclockwise)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[7947, 6511, 7398, 8155])).
% 11.97/12.14 tff(8168,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8169,plain,
% 11.97/12.14 (((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8170,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5))))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8169])).
% 11.97/12.14 tff(8171,plain,
% 11.97/12.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8170, 8168])).
% 11.97/12.14 tff(8172,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8173,plain,
% 11.97/12.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 11.97/12.14 tff(8174,plain,
% 11.97/12.14 (~m_state_v_TRM(c_s, s5, c_counterclockwise)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8173, 6511, 8167, 8159])).
% 11.97/12.14 tff(8175,plain,
% 11.97/12.14 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node164(J0, X))))),
% 11.97/12.14 inference(bind,[status(th)],[])).
% 11.97/12.14 tff(8176,plain,
% 11.97/12.14 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.97/12.14 inference(quant_intro,[status(thm)],[8175])).
% 11.97/12.14 tff(8177,plain,
% 11.97/12.14 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8178,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_1')).
% 11.97/12.14 tff(8179,plain,
% 11.97/12.14 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8178, 8177])).
% 11.97/12.14 tff(8180,plain,(
% 11.97/12.14 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.97/12.14 inference(skolemize,[status(sab)],[8179])).
% 11.97/12.14 tff(8181,plain,
% 11.97/12.14 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8180, 8176])).
% 11.97/12.14 tff(8182,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node164(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node164(c_s, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8183,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node164(c_s, s5)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8184,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node164(c_s, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 11.97/12.14 tff(8185,plain,
% 11.97/12.14 (~node164(c_s, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8184, 8181, 7487])).
% 11.97/12.14 tff(8186,assumption,(~node166(c_s, s5)), introduced(assumption)).
% 11.97/12.14 tff(8187,assumption,(~node164(c_s, s5)), introduced(assumption)).
% 11.97/12.14 tff(8188,assumption,(~m_state_v_TRM(c_s, s5, c_counterclockwise)), introduced(assumption)).
% 11.97/12.14 tff(8189,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~node167(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~node167(c_s, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8190,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~node167(c_s, s5)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8191,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~node167(c_s, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8190, 8189])).
% 11.97/12.14 tff(8192,plain,
% 11.97/12.14 (~node167(c_s, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8191, 6450, 8188])).
% 11.97/12.14 tff(8193,assumption,(~m_state_v_TRM(c_s, s5, c_clockwise)), introduced(assumption)).
% 11.97/12.14 tff(8194,plain,
% 11.97/12.14 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8195,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8196,plain,
% 11.97/12.14 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 11.97/12.14 tff(8197,plain,
% 11.97/12.14 (~node165(c_s, s5)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8196, 7832, 8193])).
% 11.97/12.14 tff(8198,plain,
% 11.97/12.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8199,plain,
% 11.97/12.14 (((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8200,plain,
% 11.97/12.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6)))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8199])).
% 11.97/12.14 tff(8201,plain,
% 11.97/12.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8200, 8198])).
% 11.97/12.14 tff(8202,plain,
% 11.97/12.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8203,plain,
% 11.97/12.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6)),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 11.97/12.14 tff(8204,plain,
% 11.97/12.14 (node169(c_s, s5, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8203, 2435, 2432, 15])).
% 11.97/12.14 tff(8205,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8206,plain,
% 11.97/12.14 ((node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6))) <=> (node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8207,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6)))),
% 11.97/12.14 inference(monotonicity,[status(thm)],[8206])).
% 11.97/12.14 tff(8208,plain,
% 11.97/12.14 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6))),
% 11.97/12.14 inference(transitivity,[status(thm)],[8207, 8205])).
% 11.97/12.14 tff(8209,plain,
% 11.97/12.14 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))),
% 11.97/12.14 inference(quant_inst,[status(thm)],[])).
% 11.97/12.14 tff(8210,plain,
% 11.97/12.14 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | (~node169(c_s, s5, s6)) | node168(c_s, s5, s6)),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 11.97/12.14 tff(8211,plain,
% 11.97/12.14 (node167(c_s, s5) | node164(c_s, s5) | node166(c_s, s5) | node165(c_s, s5) | node168(c_s, s5, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8210, 6494, 8204])).
% 11.97/12.14 tff(8212,plain,
% 11.97/12.14 (node168(c_s, s5, s6)),
% 11.97/12.14 inference(unit_resolution,[status(thm)],[8211, 8197, 8192, 8187, 8186])).
% 11.97/12.14 tff(8213,plain,
% 11.97/12.14 (^[I0: $i, X: $i] : refl((m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)))),
% 11.97/12.14 inference(bind,[status(th)],[])).
% 11.97/12.14 tff(8214,plain,
% 11.97/12.14 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(quant_intro,[status(thm)],[8213])).
% 11.97/12.14 tff(8215,plain,
% 11.97/12.14 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(rewrite,[status(thm)],[])).
% 11.97/12.14 tff(8216,plain,
% 11.97/12.14 (^[I0: $i, X: $i] : rewrite(((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle)) <=> (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)))),
% 11.97/12.14 inference(bind,[status(th)],[])).
% 11.97/12.14 tff(8217,plain,
% 11.97/12.14 (![I0: $i, X: $i] : ((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(quant_intro,[status(thm)],[8216])).
% 11.97/12.14 tff(8218,axiom,(![I0: $i, X: $i] : ((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_39')).
% 11.97/12.14 tff(8219,plain,
% 11.97/12.14 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 11.97/12.14 tff(8220,plain,
% 11.97/12.14 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8219, 8215])).
% 11.97/12.14 tff(8221,plain,(
% 11.97/12.14 ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(skolemize,[status(sab)],[8220])).
% 11.97/12.14 tff(8222,plain,
% 11.97/12.14 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 11.97/12.14 inference(modus_ponens,[status(thm)],[8221, 8214])).
% 11.97/12.15 tff(8223,plain,
% 11.97/12.15 (((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_idle) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_idle) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8224,plain,
% 11.97/12.15 ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_idle) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8225,plain,
% 11.97/12.15 ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_idle) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 11.97/12.15 tff(8226,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s5, c_idle) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8225, 8222])).
% 11.97/12.15 tff(8227,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s5, c_idle)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8226, 8193, 8188])).
% 11.97/12.15 tff(8228,assumption,(~m_state_v_TRM(c_s, s6, c_idle)), introduced(assumption)).
% 11.97/12.15 tff(8229,plain,
% 11.97/12.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8230,plain,
% 11.97/12.15 (((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle)) <=> ((~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8231,plain,
% 11.97/12.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6))))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8230])).
% 11.97/12.15 tff(8232,plain,
% 11.97/12.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6)))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8231, 8229])).
% 11.97/12.15 tff(8233,plain,
% 11.97/12.15 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8234,plain,
% 11.97/12.15 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle) | (~node168(c_s, s5, s6))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 11.97/12.15 tff(8235,plain,
% 11.97/12.15 ($false),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8234, 6528, 8228, 8227, 8212])).
% 11.97/12.15 tff(8236,plain,(m_state_v_TRM(c_s, s5, c_clockwise) | m_state_v_TRM(c_s, s6, c_idle) | node164(c_s, s5) | node166(c_s, s5) | m_state_v_TRM(c_s, s5, c_counterclockwise)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.15 tff(8237,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s5, c_clockwise) | m_state_v_TRM(c_s, s6, c_idle) | node166(c_s, s5) | m_state_v_TRM(c_s, s5, c_counterclockwise)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8236, 8185])).
% 11.97/12.15 tff(8238,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s6, c_idle) | node166(c_s, s5)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8237, 8174, 8166])).
% 11.97/12.15 tff(8239,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s6, c_idle)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8238, 8152])).
% 11.97/12.15 tff(8240,plain,
% 11.97/12.15 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s6, c_clockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8241,plain,
% 11.97/12.15 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s6, c_clockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8242,plain,
% 11.97/12.15 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~m_state_v_TRM(c_s, s6, c_idle))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 11.97/12.15 tff(8243,plain,
% 11.97/12.15 (~m_state_v_TRM(c_s, s6, c_clockwise)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8242, 6372, 8239])).
% 11.97/12.15 tff(8244,plain,
% 11.97/12.15 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8245,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8246,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 11.97/12.15 tff(8247,plain,
% 11.97/12.15 (~node165(c_s, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8246, 7832, 8243])).
% 11.97/12.15 tff(8248,plain,
% 11.97/12.15 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s6)) | m_state_v_botPos(c_s, s6))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8249,plain,
% 11.97/12.15 ((m_state_v_botPos(c_s, s6) | (~node164(c_s, s6))) <=> ((~node164(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8250,plain,
% 11.97/12.15 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node164(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s6)) | m_state_v_botPos(c_s, s6)))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8249])).
% 11.97/12.15 tff(8251,plain,
% 11.97/12.15 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node164(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8250, 8248])).
% 11.97/12.15 tff(8252,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node164(c_s, s6)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8253,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s6)) | m_state_v_botPos(c_s, s6)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 11.97/12.15 tff(8254,plain,
% 11.97/12.15 (~node164(c_s, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8253, 8181, 8107])).
% 11.97/12.15 tff(8255,plain,
% 11.97/12.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8256,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8257,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 11.97/12.15 tff(8258,plain,
% 11.97/12.15 (node26(c_s, s4, s5)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8257, 28, 6545, 4253])).
% 11.97/12.15 tff(8259,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8260,plain,
% 11.97/12.15 ((node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise)) <=> (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8261,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5)))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8260])).
% 11.97/12.15 tff(8262,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8261, 8259])).
% 11.97/12.15 tff(8263,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8264,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node26(c_s, s4, s5)) | node25(c_s, s4, s5)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 11.97/12.15 tff(8265,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8264, 7412, 8258])).
% 11.97/12.15 tff(8266,plain,
% 11.97/12.15 (node25(c_s, s4, s5)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8265, 8167, 8156])).
% 11.97/12.15 tff(8267,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8268,plain,
% 11.97/12.15 ((m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5))) <=> (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8269,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5))))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8268])).
% 11.97/12.15 tff(8270,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8269, 8267])).
% 11.97/12.15 tff(8271,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8272,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8271, 8270])).
% 11.97/12.15 tff(8273,plain,
% 11.97/12.15 (~m_state_v_minRot(c_s, s5)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8272, 7429, 7433, 8266])).
% 11.97/12.15 tff(8274,plain,
% 11.97/12.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8275,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8276,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8275, 8274])).
% 11.97/12.15 tff(8277,plain,
% 11.97/12.15 (node26(c_s, s5, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8276, 28, 6545, 15])).
% 11.97/12.15 tff(8278,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8279,plain,
% 11.97/12.15 ((node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise)) <=> (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8280,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6))))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8279])).
% 11.97/12.15 tff(8281,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8280, 8278])).
% 11.97/12.15 tff(8282,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8283,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 11.97/12.15 tff(8284,plain,
% 11.97/12.15 (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8283, 7412, 8277])).
% 11.97/12.15 tff(8285,plain,
% 11.97/12.15 (node25(c_s, s5, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8284, 8174, 8166])).
% 11.97/12.15 tff(8286,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8287,plain,
% 11.97/12.15 ((m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6))) <=> ((~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8288,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6))))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8287])).
% 11.97/12.15 tff(8289,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8288, 8286])).
% 11.97/12.15 tff(8290,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8291,plain,
% 11.97/12.15 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s6)) | m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 11.97/12.15 tff(8292,plain,
% 11.97/12.15 (~m_state_v_minRot(c_s, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8291, 7429, 8285, 8273])).
% 11.97/12.15 tff(8293,plain,
% 11.97/12.15 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8294,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8295,plain,
% 11.97/12.15 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node167(c_s, s6))),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 11.97/12.15 tff(8296,plain,
% 11.97/12.15 (~node167(c_s, s6)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8295, 7843, 8292])).
% 11.97/12.15 tff(8297,plain,
% 11.97/12.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8298,plain,
% 11.97/12.15 (((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 11.97/12.15 inference(rewrite,[status(thm)],[])).
% 11.97/12.15 tff(8299,plain,
% 11.97/12.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7)))),
% 11.97/12.15 inference(monotonicity,[status(thm)],[8298])).
% 11.97/12.15 tff(8300,plain,
% 11.97/12.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 11.97/12.15 inference(transitivity,[status(thm)],[8299, 8297])).
% 11.97/12.15 tff(8301,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.97/12.15 inference(quant_inst,[status(thm)],[])).
% 11.97/12.15 tff(8302,plain,
% 11.97/12.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7)),
% 11.97/12.15 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 11.97/12.15 tff(8303,plain,
% 11.97/12.15 (node169(c_s, s6, s7)),
% 11.97/12.15 inference(unit_resolution,[status(thm)],[8302, 2435, 2432, 5162])).
% 11.97/12.15 tff(8304,plain,
% 11.97/12.15 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8305,plain,
% 11.97/12.16 ((node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7))) <=> (node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8306,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8305])).
% 11.97/12.16 tff(8307,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8306, 8304])).
% 11.97/12.16 tff(8308,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8309,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 11.97/12.16 tff(8310,plain,
% 11.97/12.16 (node164(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8309, 6494, 8303])).
% 11.97/12.16 tff(8311,plain,
% 11.97/12.16 (node166(c_s, s6) | node165(c_s, s6) | node168(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8310, 8296, 8254])).
% 11.97/12.16 tff(8312,plain,
% 11.97/12.16 (node166(c_s, s6) | node168(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8311, 8247])).
% 11.97/12.16 tff(8313,plain,
% 11.97/12.16 (node168(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8312, 8148])).
% 11.97/12.16 tff(8314,assumption,(node168(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.16 tff(8315,assumption,(~m_state_v_TRM(c_s, s7, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8316,assumption,(m_state_v_TRM(c_s, s6, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8317,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8318,plain,
% 11.97/12.16 (((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle)) <=> ((~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8319,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8318])).
% 11.97/12.16 tff(8320,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8319, 8317])).
% 11.97/12.16 tff(8321,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8322,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle) | (~node168(c_s, s6, s7))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8321, 8320])).
% 11.97/12.16 tff(8323,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8322, 6528, 8316, 8315, 8314])).
% 11.97/12.16 tff(8324,plain,((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8325,plain,
% 11.97/12.16 ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s7, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8324, 8239])).
% 11.97/12.16 tff(8326,plain,
% 11.97/12.16 (m_state_v_TRM(c_s, s7, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8325, 8313])).
% 11.97/12.16 tff(8327,assumption,(node174(c_s, s4, s5)), introduced(assumption)).
% 11.97/12.16 tff(8328,assumption,(node174(c_s, s3, s4)), introduced(assumption)).
% 11.97/12.16 tff(8329,assumption,(m_state_v_TEM(c_s, s3, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8330,assumption,(~m_state_v_TEM(c_s, s4, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8331,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8332,plain,
% 11.97/12.16 (((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle)) <=> (m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8333,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8332])).
% 11.97/12.16 tff(8334,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8333, 8331])).
% 11.97/12.16 tff(8335,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8336,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~node174(c_s, s3, s4))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 11.97/12.16 tff(8337,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8336, 7152, 8330, 8329, 8328])).
% 11.97/12.16 tff(8338,plain,((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s4, c_idle) | (~m_state_v_TEM(c_s, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8339,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s4, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8338, 7339, 7195])).
% 11.97/12.16 tff(8340,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[7773, 7152, 8339, 7641, 8327])).
% 11.97/12.16 tff(8341,plain,((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s5, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8342,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s5, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8341, 7450])).
% 11.97/12.16 tff(8343,assumption,(m_state_v_TEM(c_s, s5, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8344,assumption,(~m_state_v_TEM(c_s, s6, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8345,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8346,plain,
% 11.97/12.16 (((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle)) <=> (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8347,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8346])).
% 11.97/12.16 tff(8348,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8347, 8345])).
% 11.97/12.16 tff(8349,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8350,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 11.97/12.16 tff(8351,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8350, 7152, 8344, 8343, 7686])).
% 11.97/12.16 tff(8352,plain,((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8353,plain,
% 11.97/12.16 ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s6, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8352, 8342])).
% 11.97/12.16 tff(8354,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s6, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8353, 7516])).
% 11.97/12.16 tff(8355,assumption,(node174(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.16 tff(8356,assumption,(~m_state_v_TEM(c_s, s7, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8357,assumption,(m_state_v_TEM(c_s, s6, c_idle)), introduced(assumption)).
% 11.97/12.16 tff(8358,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8359,plain,
% 11.97/12.16 (((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle)) <=> ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8360,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8359])).
% 11.97/12.16 tff(8361,plain,
% 11.97/12.16 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8360, 8358])).
% 11.97/12.16 tff(8362,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8363,plain,
% 11.97/12.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 11.97/12.16 tff(8364,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8363, 7152, 8357, 8356, 8355])).
% 11.97/12.16 tff(8365,plain,((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8366,plain,
% 11.97/12.16 ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s7, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8365, 8354])).
% 11.97/12.16 tff(8367,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s7, c_idle)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8366, 8132])).
% 11.97/12.16 tff(8368,plain,
% 11.97/12.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8369,plain,
% 11.97/12.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8370,plain,
% 11.97/12.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7)),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 11.97/12.16 tff(8371,plain,
% 11.97/12.16 (node22(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8370, 28, 1909, 5162])).
% 11.97/12.16 tff(8372,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8373,plain,
% 11.97/12.16 ((node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down)) <=> (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8374,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7)))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8373])).
% 11.97/12.16 tff(8375,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8374, 8372])).
% 11.97/12.16 tff(8376,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8377,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node22(c_s, s6, s7)) | node21(c_s, s6, s7)),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 11.97/12.16 tff(8378,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8377, 1957, 8371])).
% 11.97/12.16 tff(8379,plain,
% 11.97/12.16 (node21(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8378, 7537, 7530])).
% 11.97/12.16 tff(8380,assumption,(node21(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.16 tff(8381,assumption,(~m_state_v_topPos(c_s, s7)), introduced(assumption)).
% 11.97/12.16 tff(8382,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8383,plain,
% 11.97/12.16 (((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7)) <=> ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8384,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8383])).
% 11.97/12.16 tff(8385,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8384, 8382])).
% 11.97/12.16 tff(8386,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8387,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7))),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 11.97/12.16 tff(8388,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8387, 7633, 8381, 7933, 8380])).
% 11.97/12.16 tff(8389,plain,((~node21(c_s, s6, s7)) | m_state_v_topPos(c_s, s7) | (~m_state_v_topPos(c_s, s6))), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8390,plain,
% 11.97/12.16 ((~node21(c_s, s6, s7)) | m_state_v_topPos(c_s, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8389, 8106])).
% 11.97/12.16 tff(8391,plain,
% 11.97/12.16 (m_state_v_topPos(c_s, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8390, 8379])).
% 11.97/12.16 tff(8392,assumption,(~node24(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.16 tff(8393,plain,
% 11.97/12.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8394,plain,
% 11.97/12.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8395,plain,
% 11.97/12.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7)),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 11.97/12.16 tff(8396,plain,
% 11.97/12.16 ($false),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8395, 28, 7216, 5162, 8392])).
% 11.97/12.16 tff(8397,plain,(node24(c_s, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.16 tff(8398,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8399,plain,
% 11.97/12.16 ((m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7))) <=> (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8400,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7)))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8399])).
% 11.97/12.16 tff(8401,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8400, 8398])).
% 11.97/12.16 tff(8402,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8403,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | (~node24(c_s, s6, s7)) | node23(c_s, s6, s7)),
% 11.97/12.16 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 11.97/12.16 tff(8404,plain,
% 11.97/12.16 (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8403, 7230, 8397])).
% 11.97/12.16 tff(8405,plain,
% 11.97/12.16 (node23(c_s, s6, s7)),
% 11.97/12.16 inference(unit_resolution,[status(thm)],[8404, 7537, 7530])).
% 11.97/12.16 tff(8406,assumption,(node23(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.16 tff(8407,assumption,(m_state_v_botPos(c_s, s7)), introduced(assumption)).
% 11.97/12.16 tff(8408,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8409,plain,
% 11.97/12.16 ((m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7))) <=> ((~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)))),
% 11.97/12.16 inference(rewrite,[status(thm)],[])).
% 11.97/12.16 tff(8410,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7))))),
% 11.97/12.16 inference(monotonicity,[status(thm)],[8409])).
% 11.97/12.16 tff(8411,plain,
% 11.97/12.16 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)))),
% 11.97/12.16 inference(transitivity,[status(thm)],[8410, 8408])).
% 11.97/12.16 tff(8412,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))),
% 11.97/12.16 inference(quant_inst,[status(thm)],[])).
% 11.97/12.16 tff(8413,plain,
% 11.97/12.16 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 11.97/12.17 tff(8414,plain,
% 11.97/12.17 ($false),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8413, 7284, 8407, 8406, 7577])).
% 11.97/12.17 tff(8415,plain,((~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)) | m_state_v_botPos(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.17 tff(8416,plain,
% 11.97/12.17 ((~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7))),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8415, 8107])).
% 11.97/12.17 tff(8417,plain,
% 11.97/12.17 (~m_state_v_botPos(c_s, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8416, 8405])).
% 11.97/12.17 tff(8418,plain,
% 11.97/12.17 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s7)) | m_state_v_botPos(c_s, s7))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8419,plain,
% 11.97/12.17 ((m_state_v_botPos(c_s, s7) | (~node170(c_s, s7))) <=> ((~node170(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8420,plain,
% 11.97/12.17 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node170(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | ((~node170(c_s, s7)) | m_state_v_botPos(c_s, s7)))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8419])).
% 11.97/12.17 tff(8421,plain,
% 11.97/12.17 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node170(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8420, 8418])).
% 11.97/12.17 tff(8422,plain,
% 11.97/12.17 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node170(c_s, s7)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8423,plain,
% 11.97/12.17 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (~node170(c_s, s7)) | m_state_v_botPos(c_s, s7)),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 11.97/12.17 tff(8424,plain,
% 11.97/12.17 (~node170(c_s, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8423, 7494, 8417])).
% 11.97/12.17 tff(8425,plain,
% 11.97/12.17 (~node165(c_s, s5)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8196, 7832, 8166])).
% 11.97/12.17 tff(8426,plain,
% 11.97/12.17 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8427,plain,
% 11.97/12.17 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8428,plain,
% 11.97/12.17 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node167(c_s, s5))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 11.97/12.17 tff(8429,plain,
% 11.97/12.17 (~node167(c_s, s5)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8428, 7843, 8273])).
% 11.97/12.17 tff(8430,plain,
% 11.97/12.17 (node166(c_s, s5) | node165(c_s, s5) | node168(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8211, 8429, 8185])).
% 11.97/12.17 tff(8431,plain,
% 11.97/12.17 (node166(c_s, s5) | node168(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8430, 8425])).
% 11.97/12.17 tff(8432,plain,
% 11.97/12.17 (node168(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8431, 8152])).
% 11.97/12.17 tff(8433,assumption,(~node27(c_s, s6, s7)), introduced(assumption)).
% 11.97/12.17 tff(8434,assumption,(node168(c_s, s5, s6)), introduced(assumption)).
% 11.97/12.17 tff(8435,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8436,plain,
% 11.97/12.17 (((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8437,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6))))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8436])).
% 11.97/12.17 tff(8438,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8437, 8435])).
% 11.97/12.17 tff(8439,plain,
% 11.97/12.17 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8440,plain,
% 11.97/12.17 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 11.97/12.17 tff(8441,plain,
% 11.97/12.17 (~m_state_v_TRM(c_s, s6, c_counterclockwise)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8440, 6511, 8188, 8434])).
% 11.97/12.17 tff(8442,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8443,plain,
% 11.97/12.17 (((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise))) <=> (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8444,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6))))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8443])).
% 11.97/12.17 tff(8445,plain,
% 11.97/12.17 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8444, 8442])).
% 11.97/12.17 tff(8446,plain,
% 11.97/12.17 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8447,plain,
% 11.97/12.17 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 11.97/12.17 tff(8448,plain,
% 11.97/12.17 (~m_state_v_TRM(c_s, s6, c_clockwise)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8447, 6511, 8193, 8434])).
% 11.97/12.17 tff(8449,plain,
% 11.97/12.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8450,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8451,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7)),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 11.97/12.17 tff(8452,plain,
% 11.97/12.17 (node28(c_s, s6, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8451, 28, 2384, 5162])).
% 11.97/12.17 tff(8453,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8454,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8455,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 11.97/12.17 tff(8456,plain,
% 11.97/12.17 (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8455, 6397, 8452])).
% 11.97/12.17 tff(8457,plain,
% 11.97/12.17 ($false),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8456, 8448, 8441, 8433])).
% 11.97/12.17 tff(8458,plain,((~node168(c_s, s5, s6)) | node27(c_s, s6, s7) | m_state_v_TRM(c_s, s5, c_clockwise) | m_state_v_TRM(c_s, s5, c_counterclockwise)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.17 tff(8459,plain,
% 11.97/12.17 ((~node168(c_s, s5, s6)) | node27(c_s, s6, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8458, 8174, 8166])).
% 11.97/12.17 tff(8460,plain,
% 11.97/12.17 (node27(c_s, s6, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8459, 8432])).
% 11.97/12.17 tff(8461,plain,
% 11.97/12.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8462,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8463,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6)),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 11.97/12.17 tff(8464,plain,
% 11.97/12.17 (node28(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8463, 28, 2384, 15])).
% 11.97/12.17 tff(8465,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8466,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8467,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 11.97/12.17 tff(8468,plain,
% 11.97/12.17 (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8467, 6397, 8464])).
% 11.97/12.17 tff(8469,plain,
% 11.97/12.17 (node27(c_s, s5, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8468, 8174, 8166])).
% 11.97/12.17 tff(8470,plain,
% 11.97/12.17 (node27(c_s, s4, s5)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[7956, 8167, 8156])).
% 11.97/12.17 tff(8471,plain,
% 11.97/12.17 (m_state_v_maxRot(c_s, s5)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[7991, 7978, 7985, 8470])).
% 11.97/12.17 tff(8472,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8473,plain,
% 11.97/12.17 (((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6)) <=> ((~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8474,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6))))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8473])).
% 11.97/12.17 tff(8475,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8474, 8472])).
% 11.97/12.17 tff(8476,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8477,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8476, 8475])).
% 11.97/12.17 tff(8478,plain,
% 11.97/12.17 (m_state_v_maxRot(c_s, s6)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8477, 7978, 8471, 8469])).
% 11.97/12.17 tff(8479,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8480,plain,
% 11.97/12.17 (((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7)) <=> ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8481,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7))))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8480])).
% 11.97/12.17 tff(8482,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8481, 8479])).
% 11.97/12.17 tff(8483,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8484,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7))),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 11.97/12.17 tff(8485,plain,
% 11.97/12.17 (m_state_v_maxRot(c_s, s7)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8484, 7978, 8478, 8460])).
% 11.97/12.17 tff(8486,plain,
% 11.97/12.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8487,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))),
% 11.97/12.17 inference(quant_inst,[status(thm)],[])).
% 11.97/12.17 tff(8488,plain,
% 11.97/12.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8)),
% 11.97/12.17 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 11.97/12.17 tff(8489,plain,
% 11.97/12.17 (node175(c_s, s7, s8)),
% 11.97/12.17 inference(unit_resolution,[status(thm)],[8488, 2435, 2482, 5304])).
% 11.97/12.17 tff(8490,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8491,plain,
% 11.97/12.17 ((m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node170(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node171(c_s, s7) | (~node175(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_down)) <=> (m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8)))),
% 11.97/12.17 inference(rewrite,[status(thm)],[])).
% 11.97/12.17 tff(8492,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node170(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node171(c_s, s7) | (~node175(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8))))),
% 11.97/12.17 inference(monotonicity,[status(thm)],[8491])).
% 11.97/12.17 tff(8493,plain,
% 11.97/12.17 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node170(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node171(c_s, s7) | (~node175(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8)))),
% 11.97/12.17 inference(transitivity,[status(thm)],[8492, 8490])).
% 11.97/12.17 tff(8494,plain,
% 11.97/12.17 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node170(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node171(c_s, s7) | (~node175(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_down))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8495,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down) | (~node175(c_s, s7, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 11.97/12.18 tff(8496,plain,
% 11.97/12.18 (m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node170(c_s, s7) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8495, 7745, 8489])).
% 11.97/12.18 tff(8497,plain,
% 11.97/12.18 (m_state_v_tl(c_s, s7) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node171(c_s, s7) | m_state_v_TEM(c_s, s8, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8496, 8485, 8424, 8391])).
% 11.97/12.18 tff(8498,plain,
% 11.97/12.18 (m_state_v_tl(c_s, s7) | m_state_v_TEM(c_s, s8, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8497, 8367, 8326, 8143])).
% 11.97/12.18 tff(8499,plain,
% 11.97/12.18 (m_state_v_TEM(c_s, s8, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8498, 6340])).
% 11.97/12.18 tff(8500,plain,
% 11.97/12.18 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_idle)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8501,plain,
% 11.97/12.18 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_idle)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8502,plain,
% 11.97/12.18 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_idle))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 11.97/12.18 tff(8503,plain,
% 11.97/12.18 (~m_state_v_TEM(c_s, s8, c_idle)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8502, 1929, 8499])).
% 11.97/12.18 tff(8504,plain,
% 11.97/12.18 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TEM(c_s, s8, c_idle) | (~node172(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TEM(c_s, s8, c_idle) | (~node172(c_s, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8505,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | (m_state_v_TEM(c_s, s8, c_idle) | (~node172(c_s, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8506,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node172(J0, X)))) | m_state_v_TEM(c_s, s8, c_idle) | (~node172(c_s, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 11.97/12.18 tff(8507,plain,
% 11.97/12.18 (m_state_v_TEM(c_s, s8, c_idle) | (~node172(c_s, s8))),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8506, 7657])).
% 11.97/12.18 tff(8508,plain,
% 11.97/12.18 (~node172(c_s, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8507, 8503])).
% 11.97/12.18 tff(8509,plain,
% 11.97/12.18 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8510,plain,
% 11.97/12.18 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8511,plain,
% 11.97/12.18 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s8, c_down)) | (~m_state_v_TEM(c_s, s8, c_up))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 11.97/12.18 tff(8512,plain,
% 11.97/12.18 (~m_state_v_TEM(c_s, s8, c_up)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8511, 7077, 8499])).
% 11.97/12.18 tff(8513,plain,
% 11.97/12.18 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8514,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8515,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8514, 8513])).
% 11.97/12.18 tff(8516,plain,
% 11.97/12.18 (~node171(c_s, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8515, 7309, 8512])).
% 11.97/12.18 tff(8517,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8518,plain,
% 11.97/12.18 (((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down))) <=> (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8519,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7))))),
% 11.97/12.18 inference(monotonicity,[status(thm)],[8518])).
% 11.97/12.18 tff(8520,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 11.97/12.18 inference(transitivity,[status(thm)],[8519, 8517])).
% 11.97/12.18 tff(8521,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8522,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 11.97/12.18 tff(8523,plain,
% 11.97/12.18 (~m_state_v_TEM(c_s, s7, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8522, 7245, 7530, 8132])).
% 11.97/12.18 tff(8524,plain,
% 11.97/12.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s7, s8))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8525,plain,
% 11.97/12.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s7, s8))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8526,plain,
% 11.97/12.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s7, s8)),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 11.97/12.18 tff(8527,plain,
% 11.97/12.18 (node24(c_s, s7, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8526, 28, 7216, 5304])).
% 11.97/12.18 tff(8528,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node23(c_s, s7, s8) | (~node24(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node23(c_s, s7, s8) | (~node24(c_s, s7, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8529,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node23(c_s, s7, s8) | (~node24(c_s, s7, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8530,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node23(c_s, s7, s8) | (~node24(c_s, s7, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 11.97/12.18 tff(8531,plain,
% 11.97/12.18 (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node23(c_s, s7, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8530, 7230, 8527])).
% 11.97/12.18 tff(8532,plain,
% 11.97/12.18 (node23(c_s, s7, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8531, 8139, 8523])).
% 11.97/12.18 tff(8533,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8534,plain,
% 11.97/12.18 ((m_state_v_botPos(c_s, s7) | (~node23(c_s, s7, s8)) | (~m_state_v_botPos(c_s, s8))) <=> (m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8535,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s7) | (~node23(c_s, s7, s8)) | (~m_state_v_botPos(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8))))),
% 11.97/12.18 inference(monotonicity,[status(thm)],[8534])).
% 11.97/12.18 tff(8536,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s7) | (~node23(c_s, s7, s8)) | (~m_state_v_botPos(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8)))),
% 11.97/12.18 inference(transitivity,[status(thm)],[8535, 8533])).
% 11.97/12.18 tff(8537,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s7) | (~node23(c_s, s7, s8)) | (~m_state_v_botPos(c_s, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8538,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 11.97/12.18 tff(8539,plain,
% 11.97/12.18 (m_state_v_botPos(c_s, s7) | (~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8))),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8538, 7284])).
% 11.97/12.18 tff(8540,plain,
% 11.97/12.18 ((~m_state_v_botPos(c_s, s8)) | (~node23(c_s, s7, s8))),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8539, 8417])).
% 11.97/12.18 tff(8541,plain,
% 11.97/12.18 (~m_state_v_botPos(c_s, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8540, 8532])).
% 11.97/12.18 tff(8542,plain,
% 11.97/12.18 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node173(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node173(c_s, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8543,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node173(c_s, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8544,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node173(c_s, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 11.97/12.18 tff(8545,plain,
% 11.97/12.18 (~node173(c_s, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8544, 7298, 8541])).
% 11.97/12.18 tff(8546,plain,
% 11.97/12.18 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node170(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node170(c_s, s8)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8547,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node170(c_s, s8)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8548,plain,
% 11.97/12.18 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node170(c_s, s8))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 11.97/12.18 tff(8549,plain,
% 11.97/12.18 (~node170(c_s, s8)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8548, 7494, 8541])).
% 11.97/12.18 tff(8550,plain,
% 11.97/12.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8551,plain,
% 11.97/12.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8552,plain,
% 11.97/12.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9)),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 11.97/12.18 tff(8553,plain,
% 11.97/12.18 (node175(c_s, s8, s9)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8552, 2435, 2482, 5508])).
% 11.97/12.18 tff(8554,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8555,plain,
% 11.97/12.18 ((node170(c_s, s8) | node172(c_s, s8) | node171(c_s, s8) | node173(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9))) <=> (node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8556,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s8) | node172(c_s, s8) | node171(c_s, s8) | node173(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9))))),
% 11.97/12.18 inference(monotonicity,[status(thm)],[8555])).
% 11.97/12.18 tff(8557,plain,
% 11.97/12.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s8) | node172(c_s, s8) | node171(c_s, s8) | node173(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))),
% 11.97/12.18 inference(transitivity,[status(thm)],[8556, 8554])).
% 11.97/12.18 tff(8558,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s8) | node172(c_s, s8) | node171(c_s, s8) | node173(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8559,plain,
% 11.97/12.18 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9) | (~node175(c_s, s8, s9))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 11.97/12.18 tff(8560,plain,
% 11.97/12.18 (node172(c_s, s8) | node170(c_s, s8) | node173(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8559, 7135, 8553])).
% 11.97/12.18 tff(8561,plain,
% 11.97/12.18 (node172(c_s, s8) | node171(c_s, s8) | node174(c_s, s8, s9)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8560, 8549, 8545])).
% 11.97/12.18 tff(8562,plain,
% 11.97/12.18 (node174(c_s, s8, s9)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8561, 8516, 8508])).
% 11.97/12.18 tff(8563,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8564,plain,
% 11.97/12.18 (((~node174(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up))) <=> (m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8565,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9))))),
% 11.97/12.18 inference(monotonicity,[status(thm)],[8564])).
% 11.97/12.18 tff(8566,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(transitivity,[status(thm)],[8565, 8563])).
% 11.97/12.18 tff(8567,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8568,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s8, c_up) | (~m_state_v_TEM(c_s, s9, c_up)) | (~node174(c_s, s8, s9))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8567, 8566])).
% 11.97/12.18 tff(8569,plain,
% 11.97/12.18 (~m_state_v_TEM(c_s, s9, c_up)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8568, 7245, 8512, 8562])).
% 11.97/12.18 tff(8570,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8571,plain,
% 11.97/12.18 (((~node174(c_s, s8, s9)) | (~m_state_v_TEM(c_s, s8, c_down)) | m_state_v_TEM(c_s, s9, c_down)) <=> (m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8572,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s8, s9)) | (~m_state_v_TEM(c_s, s8, c_down)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9))))),
% 11.97/12.18 inference(monotonicity,[status(thm)],[8571])).
% 11.97/12.18 tff(8573,plain,
% 11.97/12.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s8, s9)) | (~m_state_v_TEM(c_s, s8, c_down)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9)))),
% 11.97/12.18 inference(transitivity,[status(thm)],[8572, 8570])).
% 11.97/12.18 tff(8574,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s8, s9)) | (~m_state_v_TEM(c_s, s8, c_down)) | m_state_v_TEM(c_s, s9, c_down))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.18 tff(8575,plain,
% 11.97/12.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s9, c_down) | (~m_state_v_TEM(c_s, s8, c_down)) | (~node174(c_s, s8, s9))),
% 11.97/12.18 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 11.97/12.18 tff(8576,plain,
% 11.97/12.18 (m_state_v_TEM(c_s, s9, c_down)),
% 11.97/12.18 inference(unit_resolution,[status(thm)],[8575, 7152, 8499, 8562])).
% 11.97/12.18 tff(8577,plain,
% 11.97/12.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))),
% 11.97/12.18 inference(rewrite,[status(thm)],[])).
% 11.97/12.18 tff(8578,plain,
% 11.97/12.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))),
% 11.97/12.18 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8579,plain,
% 11.97/12.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8)),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 11.97/12.19 tff(8580,plain,
% 11.97/12.19 (node22(c_s, s7, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8579, 28, 1909, 5304])).
% 11.97/12.19 tff(8581,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8582,plain,
% 11.97/12.19 ((node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down)) <=> (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8583,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8)))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8582])).
% 11.97/12.19 tff(8584,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8583, 8581])).
% 11.97/12.19 tff(8585,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8586,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8)),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 11.97/12.19 tff(8587,plain,
% 11.97/12.19 (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node21(c_s, s7, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8586, 1957, 8580])).
% 11.97/12.19 tff(8588,plain,
% 11.97/12.19 (node21(c_s, s7, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8587, 8139, 8523])).
% 11.97/12.19 tff(8589,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8590,plain,
% 11.97/12.19 (((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8)) <=> (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8591,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8))))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8590])).
% 11.97/12.19 tff(8592,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8591, 8589])).
% 11.97/12.19 tff(8593,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8594,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 11.97/12.19 tff(8595,plain,
% 11.97/12.19 (m_state_v_topPos(c_s, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8594, 7633, 8391, 8588])).
% 11.97/12.19 tff(8596,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8597,plain,
% 11.97/12.19 (((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8598,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8597])).
% 11.97/12.19 tff(8599,plain,
% 11.97/12.19 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8598, 8596])).
% 11.97/12.19 tff(8600,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8601,plain,
% 11.97/12.19 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 11.97/12.19 tff(8602,plain,
% 11.97/12.19 ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8601, 7715])).
% 11.97/12.19 tff(8603,plain,
% 11.97/12.19 (m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8602, 8595])).
% 11.97/12.19 tff(8604,plain,
% 11.97/12.19 (~node22(c_s, s9, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8603, 8576, 8569])).
% 11.97/12.19 tff(8605,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8606,plain,
% 11.97/12.19 (((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8607,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8)))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8606])).
% 11.97/12.19 tff(8608,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8607, 8605])).
% 11.97/12.19 tff(8609,plain,
% 11.97/12.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8610,plain,
% 11.97/12.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8)),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 11.97/12.19 tff(8611,plain,
% 11.97/12.19 (~trans(s9, s8)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8610, 28, 1909, 8604])).
% 11.97/12.19 tff(8612,plain,
% 11.97/12.19 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8613,plain,
% 11.97/12.19 (((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise))) <=> ((~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8614,plain,
% 11.97/12.19 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7))))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8613])).
% 11.97/12.19 tff(8615,plain,
% 11.97/12.19 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8614, 8612])).
% 11.97/12.19 tff(8616,plain,
% 11.97/12.19 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8617,plain,
% 11.97/12.19 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node168(c_s, s6, s7))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8616, 8615])).
% 11.97/12.19 tff(8618,plain,
% 11.97/12.19 (~m_state_v_TRM(c_s, s7, c_clockwise)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8617, 6511, 8243, 8313])).
% 11.97/12.19 tff(8619,plain,
% 11.97/12.19 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8620,plain,
% 11.97/12.19 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8621,plain,
% 11.97/12.19 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8620, 8619])).
% 11.97/12.19 tff(8622,plain,
% 11.97/12.19 (~node165(c_s, s7)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8621, 7832, 8618])).
% 11.97/12.19 tff(8623,plain,
% 11.97/12.19 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s7)) | m_state_v_botPos(c_s, s7))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8624,plain,
% 11.97/12.19 ((m_state_v_botPos(c_s, s7) | (~node164(c_s, s7))) <=> ((~node164(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8625,plain,
% 11.97/12.19 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node164(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s7)) | m_state_v_botPos(c_s, s7)))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8624])).
% 11.97/12.19 tff(8626,plain,
% 11.97/12.19 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node164(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s7)) | m_state_v_botPos(c_s, s7))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8625, 8623])).
% 11.97/12.19 tff(8627,plain,
% 11.97/12.19 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node164(c_s, s7)))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8628,plain,
% 11.97/12.19 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s7)) | m_state_v_botPos(c_s, s7)),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 11.97/12.19 tff(8629,plain,
% 11.97/12.19 (~node164(c_s, s7)),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8628, 8181, 8417])).
% 11.97/12.19 tff(8630,assumption,(~node169(c_s, s7, s8)), introduced(assumption)).
% 11.97/12.19 tff(8631,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8632,plain,
% 11.97/12.19 (((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8633,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8)))),
% 11.97/12.19 inference(monotonicity,[status(thm)],[8632])).
% 11.97/12.19 tff(8634,plain,
% 11.97/12.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 11.97/12.19 inference(transitivity,[status(thm)],[8633, 8631])).
% 11.97/12.19 tff(8635,plain,
% 11.97/12.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.97/12.19 inference(quant_inst,[status(thm)],[])).
% 11.97/12.19 tff(8636,plain,
% 11.97/12.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8)),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 11.97/12.19 tff(8637,plain,
% 11.97/12.19 ($false),
% 11.97/12.19 inference(unit_resolution,[status(thm)],[8636, 2435, 2432, 5304, 8630])).
% 11.97/12.19 tff(8638,plain,(node169(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 11.97/12.19 tff(8639,plain,
% 11.97/12.19 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)))),
% 11.97/12.19 inference(bind,[status(th)],[])).
% 11.97/12.19 tff(8640,plain,
% 11.97/12.19 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.19 inference(quant_intro,[status(thm)],[8639])).
% 11.97/12.19 tff(8641,plain,
% 11.97/12.19 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.19 inference(rewrite,[status(thm)],[])).
% 11.97/12.19 tff(8642,plain,
% 11.97/12.19 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | node164(J0, X) | node165(J0, X))), ((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_topPos(J0, X)) | node164(J0, X) | node165(J0, X)) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_topPos(J0, X)) | node164(J0, X) | node165(J0, X)) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X))), ((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X)))), (((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TEM(J0, X, c_idle)))), (((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), (((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_tl(J0, X)))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_counterclockwise)))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))), ((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)))), (((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y))) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y))))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))), (((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))))),
% 11.97/12.19 inference(bind,[status(th)],[])).
% 11.97/12.19 tff(8643,plain,
% 11.97/12.19 (![Y: $i, X: $i, J0: $i] : ((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.19 inference(quant_intro,[status(thm)],[8642])).
% 11.97/12.19 tff(8644,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((node164(J0, X) | node165(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TRM(J0, Y, c_counterclockwise)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_19')).
% 11.97/12.19 tff(8645,plain,
% 11.97/12.19 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 11.97/12.19 tff(8646,plain,
% 11.97/12.19 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.19 inference(modus_ponens,[status(thm)],[8645, 8641])).
% 11.97/12.20 tff(8647,plain,(
% 11.97/12.20 ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.20 inference(skolemize,[status(sab)],[8646])).
% 11.97/12.20 tff(8648,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8647, 8640])).
% 11.97/12.20 tff(8649,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8650,plain,
% 11.97/12.20 ((m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_counterclockwise)) <=> (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8651,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_counterclockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8))))),
% 11.97/12.20 inference(monotonicity,[status(thm)],[8650])).
% 11.97/12.20 tff(8652,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_counterclockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)))),
% 11.97/12.20 inference(transitivity,[status(thm)],[8651, 8649])).
% 11.97/12.20 tff(8653,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s7) | (~m_state_v_topPos(c_s, s7)) | (~m_state_v_maxRot(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_counterclockwise))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8654,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7) | (~node169(c_s, s7, s8))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 11.97/12.20 tff(8655,plain,
% 11.97/12.20 (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~m_state_v_maxRot(c_s, s7)) | (~m_state_v_topPos(c_s, s7)) | node164(c_s, s7) | node165(c_s, s7)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8654, 8648, 8638])).
% 11.97/12.20 tff(8656,plain,
% 11.97/12.20 (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~m_state_v_TEM(c_s, s7, c_idle)) | node165(c_s, s7)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8655, 8485, 8629, 8391])).
% 11.97/12.20 tff(8657,plain,
% 11.97/12.20 (m_state_v_tl(c_s, s7) | m_state_v_TRM(c_s, s8, c_counterclockwise)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8656, 8326, 8367, 8622])).
% 11.97/12.20 tff(8658,plain,
% 11.97/12.20 (m_state_v_TRM(c_s, s8, c_counterclockwise)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8657, 6340])).
% 11.97/12.20 tff(8659,plain,
% 11.97/12.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s8, s9))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8660,plain,
% 11.97/12.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s8, s9))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8661,plain,
% 11.97/12.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s8, s9)),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8660, 8659])).
% 11.97/12.20 tff(8662,plain,
% 11.97/12.20 (node26(c_s, s8, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8661, 28, 6545, 5508])).
% 11.97/12.20 tff(8663,plain,
% 11.97/12.20 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8664,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8663])).
% 11.97/12.20 tff(8665,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8666,plain,
% 11.97/12.20 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y))) <=> (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8667,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8666])).
% 11.97/12.20 tff(8668,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_26')).
% 11.97/12.20 tff(8669,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 11.97/12.20 tff(8670,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8669, 8665])).
% 11.97/12.20 tff(8671,plain,(
% 11.97/12.20 ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(skolemize,[status(sab)],[8670])).
% 11.97/12.20 tff(8672,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8671, 8664])).
% 11.97/12.20 tff(8673,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8674,plain,
% 11.97/12.20 ((m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8675,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9))))),
% 11.97/12.20 inference(monotonicity,[status(thm)],[8674])).
% 11.97/12.20 tff(8676,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)))),
% 11.97/12.20 inference(transitivity,[status(thm)],[8675, 8673])).
% 11.97/12.20 tff(8677,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8678,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9) | (~node26(c_s, s8, s9))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 11.97/12.20 tff(8679,plain,
% 11.97/12.20 ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_minRot(c_s, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8678, 8672, 8662])).
% 11.97/12.20 tff(8680,plain,
% 11.97/12.20 (m_state_v_minRot(c_s, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8679, 8658])).
% 11.97/12.20 tff(8681,plain,
% 11.97/12.20 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s8, c_clockwise)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8682,plain,
% 11.97/12.20 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s8, c_clockwise)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8683,plain,
% 11.97/12.20 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 11.97/12.20 tff(8684,plain,
% 11.97/12.20 ((~m_state_v_TRM(c_s, s8, c_clockwise)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise))),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8683, 6439])).
% 11.97/12.20 tff(8685,plain,
% 11.97/12.20 (~m_state_v_TRM(c_s, s8, c_clockwise)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8684, 8658])).
% 11.97/12.20 tff(8686,plain,
% 11.97/12.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s8, s9))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8687,plain,
% 11.97/12.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s8, s9))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8688,plain,
% 11.97/12.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s8, s9)),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 11.97/12.20 tff(8689,plain,
% 11.97/12.20 (node28(c_s, s8, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8688, 28, 2384, 5508])).
% 11.97/12.20 tff(8690,plain,
% 11.97/12.20 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8691,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8690])).
% 11.97/12.20 tff(8692,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8693,plain,
% 11.97/12.20 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise))), (((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) <=> (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, Y))))), rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, Y))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)))), (((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y))))), ((((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y))) <=> (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y))))), rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))), ((((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8694,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8693])).
% 11.97/12.20 tff(8695,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_maxRot(J0, Y))) | (~node28(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_33')).
% 11.97/12.20 tff(8696,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 11.97/12.20 tff(8697,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8696, 8692])).
% 11.97/12.20 tff(8698,plain,(
% 11.97/12.20 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(skolemize,[status(sab)],[8697])).
% 11.97/12.20 tff(8699,plain,
% 11.97/12.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8698, 8691])).
% 11.97/12.20 tff(8700,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8701,plain,
% 11.97/12.20 (((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9))) <=> (m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8702,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9))))),
% 11.97/12.20 inference(monotonicity,[status(thm)],[8701])).
% 11.97/12.20 tff(8703,plain,
% 11.97/12.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))),
% 11.97/12.20 inference(transitivity,[status(thm)],[8702, 8700])).
% 11.97/12.20 tff(8704,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8705,plain,
% 11.97/12.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_TRM(J0, X, c_clockwise) | (~m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9)) | (~node28(c_s, s8, s9))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 11.97/12.20 tff(8706,plain,
% 11.97/12.20 (m_state_v_TRM(c_s, s8, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_maxRot(c_s, s9))),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8705, 8699, 8689])).
% 11.97/12.20 tff(8707,plain,
% 11.97/12.20 (~m_state_v_maxRot(c_s, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8706, 8658, 8685])).
% 11.97/12.20 tff(8708,plain,
% 11.97/12.20 (^[X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node166(J0, X))) <=> (m_state_v_maxRot(J0, X) | (~node166(J0, X))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8709,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8708])).
% 11.97/12.20 tff(8710,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8711,axiom,(![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_9')).
% 11.97/12.20 tff(8712,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 11.97/12.20 tff(8713,plain,(
% 11.97/12.20 ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))),
% 11.97/12.20 inference(skolemize,[status(sab)],[8712])).
% 11.97/12.20 tff(8714,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8713, 8709])).
% 11.97/12.20 tff(8715,plain,
% 11.97/12.20 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))) | (m_state_v_maxRot(c_s, s9) | (~node166(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))) | m_state_v_maxRot(c_s, s9) | (~node166(c_s, s9)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8716,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))) | (m_state_v_maxRot(c_s, s9) | (~node166(c_s, s9)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8717,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node166(J0, X)))) | m_state_v_maxRot(c_s, s9) | (~node166(c_s, s9))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 11.97/12.20 tff(8718,plain,
% 11.97/12.20 (~node166(c_s, s9)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8717, 8714, 8707])).
% 11.97/12.20 tff(8719,plain,
% 11.97/12.20 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s8, c_clockwise) | (~node165(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s8, c_clockwise) | (~node165(c_s, s8)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8720,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s8, c_clockwise) | (~node165(c_s, s8)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8721,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s8, c_clockwise) | (~node165(c_s, s8))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 11.97/12.20 tff(8722,plain,
% 11.97/12.20 (~node165(c_s, s8)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8721, 7832, 8685])).
% 11.97/12.20 tff(8723,plain,
% 11.97/12.20 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X))) <=> (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X))))),
% 11.97/12.20 inference(bind,[status(th)],[])).
% 11.97/12.20 tff(8724,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.97/12.20 inference(quant_intro,[status(thm)],[8723])).
% 11.97/12.20 tff(8725,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8726,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_10')).
% 11.97/12.20 tff(8727,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 11.97/12.20 tff(8728,plain,(
% 11.97/12.20 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.97/12.20 inference(skolemize,[status(sab)],[8727])).
% 11.97/12.20 tff(8729,plain,
% 11.97/12.20 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8728, 8724])).
% 11.97/12.20 tff(8730,plain,
% 11.97/12.20 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TEM(c_s, s8, c_idle) | (~node166(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TEM(c_s, s8, c_idle) | (~node166(c_s, s8)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8731,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TEM(c_s, s8, c_idle) | (~node166(c_s, s8)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8732,plain,
% 11.97/12.20 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TEM(c_s, s8, c_idle) | (~node166(c_s, s8))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 11.97/12.20 tff(8733,plain,
% 11.97/12.20 (~node166(c_s, s8)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8732, 8729, 8503])).
% 11.97/12.20 tff(8734,plain,
% 11.97/12.20 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8735,plain,
% 11.97/12.20 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~m_state_v_TRM(c_s, s6, c_idle)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8736,plain,
% 11.97/12.20 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~m_state_v_TRM(c_s, s6, c_idle))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8735, 8734])).
% 11.97/12.20 tff(8737,plain,
% 11.97/12.20 (~m_state_v_TRM(c_s, s6, c_counterclockwise)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8736, 6383, 8239])).
% 11.97/12.20 tff(8738,plain,
% 11.97/12.20 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8739,plain,
% 11.97/12.20 (((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.20 inference(rewrite,[status(thm)],[])).
% 11.97/12.20 tff(8740,plain,
% 11.97/12.20 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7))))),
% 11.97/12.20 inference(monotonicity,[status(thm)],[8739])).
% 11.97/12.20 tff(8741,plain,
% 11.97/12.20 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7)))),
% 11.97/12.20 inference(transitivity,[status(thm)],[8740, 8738])).
% 11.97/12.20 tff(8742,plain,
% 11.97/12.20 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))),
% 11.97/12.20 inference(quant_inst,[status(thm)],[])).
% 11.97/12.20 tff(8743,plain,
% 11.97/12.20 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~node168(c_s, s6, s7))),
% 11.97/12.20 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 11.97/12.20 tff(8744,plain,
% 11.97/12.20 (~m_state_v_TRM(c_s, s7, c_counterclockwise)),
% 11.97/12.20 inference(unit_resolution,[status(thm)],[8743, 6511, 8737, 8313])).
% 11.97/12.20 tff(8745,plain,
% 11.97/12.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))),
% 11.97/12.21 inference(rewrite,[status(thm)],[])).
% 11.97/12.21 tff(8746,plain,
% 11.97/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))),
% 11.97/12.21 inference(quant_inst,[status(thm)],[])).
% 11.97/12.21 tff(8747,plain,
% 11.97/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8)),
% 11.97/12.21 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 11.97/12.21 tff(8748,plain,
% 11.97/12.21 (node26(c_s, s7, s8)),
% 11.97/12.21 inference(unit_resolution,[status(thm)],[8747, 28, 6545, 5304])).
% 11.97/12.21 tff(8749,plain,
% 11.97/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 11.97/12.21 inference(rewrite,[status(thm)],[])).
% 11.97/12.21 tff(8750,plain,
% 11.97/12.21 ((node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise)) <=> (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 11.97/12.21 inference(rewrite,[status(thm)],[])).
% 11.97/12.21 tff(8751,plain,
% 11.97/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8)))),
% 11.97/12.21 inference(monotonicity,[status(thm)],[8750])).
% 11.97/12.21 tff(8752,plain,
% 11.97/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 11.97/12.21 inference(transitivity,[status(thm)],[8751, 8749])).
% 11.97/12.21 tff(8753,plain,
% 11.97/12.21 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))),
% 11.97/12.21 inference(quant_inst,[status(thm)],[])).
% 11.97/12.21 tff(8754,plain,
% 11.97/12.21 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8)),
% 11.97/12.21 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 11.97/12.21 tff(8755,plain,
% 11.97/12.21 (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node25(c_s, s7, s8)),
% 11.97/12.21 inference(unit_resolution,[status(thm)],[8754, 7412, 8748])).
% 11.97/12.21 tff(8756,plain,
% 11.97/12.21 (node25(c_s, s7, s8)),
% 11.97/12.21 inference(unit_resolution,[status(thm)],[8755, 8744, 8618])).
% 11.97/12.21 tff(8757,plain,
% 11.97/12.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8758,plain,
% 12.05/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8759,plain,
% 12.05/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7)),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 12.05/12.21 tff(8760,plain,
% 12.05/12.21 (node26(c_s, s6, s7)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8759, 28, 6545, 5162])).
% 12.05/12.21 tff(8761,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8762,plain,
% 12.05/12.21 ((node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise)) <=> (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8763,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7)))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8762])).
% 12.05/12.21 tff(8764,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8763, 8761])).
% 12.05/12.21 tff(8765,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8766,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node26(c_s, s6, s7)) | node25(c_s, s6, s7)),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 12.05/12.21 tff(8767,plain,
% 12.05/12.21 (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8766, 7412, 8760])).
% 12.05/12.21 tff(8768,plain,
% 12.05/12.21 (node25(c_s, s6, s7)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8767, 8737, 8243])).
% 12.05/12.21 tff(8769,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8770,plain,
% 12.05/12.21 ((m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7))) <=> ((~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8771,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7))))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8770])).
% 12.05/12.21 tff(8772,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8771, 8769])).
% 12.05/12.21 tff(8773,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8774,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s7)) | m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 12.05/12.21 tff(8775,plain,
% 12.05/12.21 (~m_state_v_minRot(c_s, s7)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8774, 7429, 8292, 8768])).
% 12.05/12.21 tff(8776,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8777,plain,
% 12.05/12.21 ((m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8))) <=> (m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8778,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8))))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8777])).
% 12.05/12.21 tff(8779,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8)))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8778, 8776])).
% 12.05/12.21 tff(8780,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8781,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s7) | (~m_state_v_minRot(c_s, s8)) | (~node25(c_s, s7, s8))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 12.05/12.21 tff(8782,plain,
% 12.05/12.21 (~m_state_v_minRot(c_s, s8)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8781, 7429, 8775, 8756])).
% 12.05/12.21 tff(8783,plain,
% 12.05/12.21 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s8)) | m_state_v_minRot(c_s, s8))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s8)) | m_state_v_minRot(c_s, s8))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8784,plain,
% 12.05/12.21 ((m_state_v_minRot(c_s, s8) | (~node167(c_s, s8))) <=> ((~node167(c_s, s8)) | m_state_v_minRot(c_s, s8))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8785,plain,
% 12.05/12.21 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s8) | (~node167(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s8)) | m_state_v_minRot(c_s, s8)))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8784])).
% 12.05/12.21 tff(8786,plain,
% 12.05/12.21 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s8) | (~node167(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s8)) | m_state_v_minRot(c_s, s8))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8785, 8783])).
% 12.05/12.21 tff(8787,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s8) | (~node167(c_s, s8)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8788,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s8)) | m_state_v_minRot(c_s, s8)),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 12.05/12.21 tff(8789,plain,
% 12.05/12.21 (~node167(c_s, s8)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8788, 7843, 8782])).
% 12.05/12.21 tff(8790,plain,
% 12.05/12.21 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node164(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node164(c_s, s8)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8791,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s8) | (~node164(c_s, s8)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8792,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s8) | (~node164(c_s, s8))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 12.05/12.21 tff(8793,plain,
% 12.05/12.21 (~node164(c_s, s8)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8792, 8181, 8541])).
% 12.05/12.21 tff(8794,plain,
% 12.05/12.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8795,plain,
% 12.05/12.21 (((~trans(s8, s9)) | node169(c_s, s8, s9) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8796,plain,
% 12.05/12.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s8, s9)) | node169(c_s, s8, s9) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9)))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8795])).
% 12.05/12.21 tff(8797,plain,
% 12.05/12.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s8, s9)) | node169(c_s, s8, s9) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8796, 8794])).
% 12.05/12.21 tff(8798,plain,
% 12.05/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s8, s9)) | node169(c_s, s8, s9) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8799,plain,
% 12.05/12.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s8, s9)),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8798, 8797])).
% 12.05/12.21 tff(8800,plain,
% 12.05/12.21 (node169(c_s, s8, s9)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8799, 2435, 2432, 5508])).
% 12.05/12.21 tff(8801,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8802,plain,
% 12.05/12.21 ((node164(c_s, s8) | node165(c_s, s8) | node166(c_s, s8) | node167(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9))) <=> (node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8803,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s8) | node165(c_s, s8) | node166(c_s, s8) | node167(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9))))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8802])).
% 12.05/12.21 tff(8804,plain,
% 12.05/12.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s8) | node165(c_s, s8) | node166(c_s, s8) | node167(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8803, 8801])).
% 12.05/12.21 tff(8805,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s8) | node165(c_s, s8) | node166(c_s, s8) | node167(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8806,plain,
% 12.05/12.21 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9) | (~node169(c_s, s8, s9))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 12.05/12.21 tff(8807,plain,
% 12.05/12.21 (node167(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8806, 6494, 8800])).
% 12.05/12.21 tff(8808,plain,
% 12.05/12.21 (node165(c_s, s8) | node166(c_s, s8) | node168(c_s, s8, s9)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8807, 8793, 8789])).
% 12.05/12.21 tff(8809,plain,
% 12.05/12.21 (node168(c_s, s8, s9)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8808, 8733, 8722])).
% 12.05/12.21 tff(8810,plain,
% 12.05/12.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8811,plain,
% 12.05/12.21 (((~node168(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise)) <=> ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8812,plain,
% 12.05/12.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9))))),
% 12.05/12.21 inference(monotonicity,[status(thm)],[8811])).
% 12.05/12.21 tff(8813,plain,
% 12.05/12.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9)))),
% 12.05/12.21 inference(transitivity,[status(thm)],[8812, 8810])).
% 12.05/12.21 tff(8814,plain,
% 12.05/12.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8815,plain,
% 12.05/12.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~node168(c_s, s8, s9))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 12.05/12.21 tff(8816,plain,
% 12.05/12.21 (m_state_v_TRM(c_s, s9, c_counterclockwise)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8815, 6528, 8658, 8809])).
% 12.05/12.21 tff(8817,plain,
% 12.05/12.21 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s9) | (~node165(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s9) | (~node165(c_s, s9)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8818,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s9) | (~node165(c_s, s9)))),
% 12.05/12.21 inference(quant_inst,[status(thm)],[])).
% 12.05/12.21 tff(8819,plain,
% 12.05/12.21 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s9) | (~node165(c_s, s9))),
% 12.05/12.21 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 12.05/12.21 tff(8820,plain,
% 12.05/12.21 (~node165(c_s, s9)),
% 12.05/12.21 inference(unit_resolution,[status(thm)],[8819, 6428, 8707])).
% 12.05/12.21 tff(8821,plain,
% 12.05/12.21 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_TRM(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_TRM(c_s, s8, c_idle)))),
% 12.05/12.21 inference(rewrite,[status(thm)],[])).
% 12.05/12.21 tff(8822,plain,
% 12.05/12.22 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_TRM(c_s, s8, c_idle)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8823,plain,
% 12.05/12.22 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | (~m_state_v_TRM(c_s, s8, c_idle))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8822, 8821])).
% 12.05/12.22 tff(8824,plain,
% 12.05/12.22 (~m_state_v_TRM(c_s, s8, c_idle)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8823, 6383, 8658])).
% 12.05/12.22 tff(8825,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8826,plain,
% 12.05/12.22 (((~node168(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s9, c_idle))) <=> ((~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8827,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s9, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9))))),
% 12.05/12.22 inference(monotonicity,[status(thm)],[8826])).
% 12.05/12.22 tff(8828,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s9, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9)))),
% 12.05/12.22 inference(transitivity,[status(thm)],[8827, 8825])).
% 12.05/12.22 tff(8829,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s9, c_idle)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8830,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s9, c_idle)) | m_state_v_TRM(c_s, s8, c_idle) | (~node168(c_s, s8, s9))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 12.05/12.22 tff(8831,plain,
% 12.05/12.22 (~m_state_v_TRM(c_s, s9, c_idle)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8830, 6511, 8824, 8809])).
% 12.05/12.22 tff(8832,plain,
% 12.05/12.22 (m_state_v_angle(c_s, s8, c_arm2topress)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[5329, 5522])).
% 12.05/12.22 tff(8833,plain,
% 12.05/12.22 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8834,plain,
% 12.05/12.22 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8835,plain,
% 12.05/12.22 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle(c_s, s8, c_arm2topress))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 12.05/12.22 tff(8836,plain,
% 12.05/12.22 (~m_state_v_angle(c_s, s8, c_arm1totable)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8835, 72, 8832])).
% 12.05/12.22 tff(8837,plain,
% 12.05/12.22 (^[X: $i, J0: $i] : refl(((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable)) <=> ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable)))),
% 12.05/12.22 inference(bind,[status(th)],[])).
% 12.05/12.22 tff(8838,plain,
% 12.05/12.22 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(quant_intro,[status(thm)],[8837])).
% 12.05/12.22 tff(8839,plain,
% 12.05/12.22 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8840,plain,
% 12.05/12.22 (^[X: $i, J0: $i] : rewrite((m_state_v_angle(J0, X, c_arm1totable) | (~node1(J0, X))) <=> ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable)))),
% 12.05/12.22 inference(bind,[status(th)],[])).
% 12.05/12.22 tff(8841,plain,
% 12.05/12.22 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node1(J0, X))) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(quant_intro,[status(thm)],[8840])).
% 12.05/12.22 tff(8842,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node1(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_1')).
% 12.05/12.22 tff(8843,plain,
% 12.05/12.22 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 12.05/12.22 tff(8844,plain,
% 12.05/12.22 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8843, 8839])).
% 12.05/12.22 tff(8845,plain,(
% 12.05/12.22 ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(skolemize,[status(sab)],[8844])).
% 12.05/12.22 tff(8846,plain,
% 12.05/12.22 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8845, 8838])).
% 12.05/12.22 tff(8847,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))) | ((~node1(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1totable))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))) | (~node1(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1totable))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8848,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))) | ((~node1(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1totable))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8849,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_angle(J0, X, c_arm1totable))) | (~node1(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1totable)),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 12.05/12.22 tff(8850,plain,
% 12.05/12.22 (~node1(c_s, s8)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8849, 8846, 8836])).
% 12.05/12.22 tff(8851,plain,
% 12.05/12.22 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8852,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8853,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5)),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 12.05/12.22 tff(8854,plain,
% 12.05/12.22 (node185(c_s, s4, s5)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8853, 2089, 6588, 4253])).
% 12.05/12.22 tff(8855,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8856,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8857,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node183(c_s, s4))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 12.05/12.22 tff(8858,plain,
% 12.05/12.22 (~node183(c_s, s4)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8857, 6574, 7433])).
% 12.05/12.22 tff(8859,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8860,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8861,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 12.05/12.22 tff(8862,plain,
% 12.05/12.22 (~node182(c_s, s4)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8861, 6614, 6743])).
% 12.05/12.22 tff(8863,plain,
% 12.05/12.22 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8864,plain,
% 12.05/12.22 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8865,plain,
% 12.05/12.22 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 12.05/12.22 tff(8866,plain,
% 12.05/12.22 (node184(c_s, s4, s5)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8865, 6631, 8862, 8858, 8854])).
% 12.05/12.22 tff(8867,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8868,plain,
% 12.05/12.22 (((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on))) <=> (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8869,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5))))),
% 12.05/12.22 inference(monotonicity,[status(thm)],[8868])).
% 12.05/12.22 tff(8870,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 12.05/12.22 inference(transitivity,[status(thm)],[8869, 8867])).
% 12.05/12.22 tff(8871,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8872,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 12.05/12.22 tff(8873,plain,
% 12.05/12.22 (~m_state_v_FBM(c_s, s5, c_on)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8872, 6645, 6743, 8866])).
% 12.05/12.22 tff(8874,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8875,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8876,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8875, 8874])).
% 12.05/12.22 tff(8877,plain,
% 12.05/12.22 (~node182(c_s, s5)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8876, 6614, 8873])).
% 12.05/12.22 tff(8878,plain,
% 12.05/12.22 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8879,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8880,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6)),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 12.05/12.22 tff(8881,plain,
% 12.05/12.22 (node185(c_s, s5, s6)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8880, 2089, 6588, 15])).
% 12.05/12.22 tff(8882,plain,
% 12.05/12.22 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node183(J0, X))))),
% 12.05/12.22 inference(bind,[status(th)],[])).
% 12.05/12.22 tff(8883,plain,
% 12.05/12.22 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 12.05/12.22 inference(quant_intro,[status(thm)],[8882])).
% 12.05/12.22 tff(8884,plain,
% 12.05/12.22 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8885,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_FeedBelt_34')).
% 12.05/12.22 tff(8886,plain,
% 12.05/12.22 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 12.05/12.22 tff(8887,plain,(
% 12.05/12.22 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 12.05/12.22 inference(skolemize,[status(sab)],[8886])).
% 12.05/12.22 tff(8888,plain,
% 12.05/12.22 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8887, 8883])).
% 12.05/12.22 tff(8889,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node183(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node183(c_s, s5)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8890,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node183(c_s, s5)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8891,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node183(c_s, s5))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 12.05/12.22 tff(8892,plain,
% 12.05/12.22 (~node183(c_s, s5)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8891, 8888, 7487])).
% 12.05/12.22 tff(8893,plain,
% 12.05/12.22 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8894,plain,
% 12.05/12.22 ((node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6))) <=> (node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8895,plain,
% 12.05/12.22 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6))))),
% 12.05/12.22 inference(monotonicity,[status(thm)],[8894])).
% 12.05/12.22 tff(8896,plain,
% 12.05/12.22 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))),
% 12.05/12.22 inference(transitivity,[status(thm)],[8895, 8893])).
% 12.05/12.22 tff(8897,plain,
% 12.05/12.22 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8898,plain,
% 12.05/12.22 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s5) | node182(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 12.05/12.22 tff(8899,plain,
% 12.05/12.22 (node182(c_s, s5) | node184(c_s, s5, s6)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8898, 6631, 8892, 8881])).
% 12.05/12.22 tff(8900,plain,
% 12.05/12.22 (node184(c_s, s5, s6)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8899, 8877])).
% 12.05/12.22 tff(8901,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8902,plain,
% 12.05/12.22 (((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on))) <=> (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8903,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6))))),
% 12.05/12.22 inference(monotonicity,[status(thm)],[8902])).
% 12.05/12.22 tff(8904,plain,
% 12.05/12.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 12.05/12.22 inference(transitivity,[status(thm)],[8903, 8901])).
% 12.05/12.22 tff(8905,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8906,plain,
% 12.05/12.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 12.05/12.22 tff(8907,plain,
% 12.05/12.22 (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6))),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8906, 6645])).
% 12.05/12.22 tff(8908,plain,
% 12.05/12.22 (~m_state_v_FBM(c_s, s6, c_on)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8907, 8900, 8873])).
% 12.05/12.22 tff(8909,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8910,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8911,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6))),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 12.05/12.22 tff(8912,plain,
% 12.05/12.22 (~node182(c_s, s6)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8911, 6614, 8908])).
% 12.05/12.22 tff(8913,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | ((~node183(c_s, s6)) | m_state_v_botPos(c_s, s6))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8914,plain,
% 12.05/12.22 ((m_state_v_botPos(c_s, s6) | (~node183(c_s, s6))) <=> ((~node183(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8915,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node183(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | ((~node183(c_s, s6)) | m_state_v_botPos(c_s, s6)))),
% 12.05/12.22 inference(monotonicity,[status(thm)],[8914])).
% 12.05/12.22 tff(8916,plain,
% 12.05/12.22 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node183(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s6)) | m_state_v_botPos(c_s, s6))),
% 12.05/12.22 inference(transitivity,[status(thm)],[8915, 8913])).
% 12.05/12.22 tff(8917,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node183(c_s, s6)))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8918,plain,
% 12.05/12.22 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (~node183(c_s, s6)) | m_state_v_botPos(c_s, s6)),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 12.05/12.22 tff(8919,plain,
% 12.05/12.22 (~node183(c_s, s6)),
% 12.05/12.22 inference(unit_resolution,[status(thm)],[8918, 8888, 8107])).
% 12.05/12.22 tff(8920,plain,
% 12.05/12.22 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))),
% 12.05/12.22 inference(rewrite,[status(thm)],[])).
% 12.05/12.22 tff(8921,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))),
% 12.05/12.22 inference(quant_inst,[status(thm)],[])).
% 12.05/12.22 tff(8922,plain,
% 12.05/12.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7)),
% 12.05/12.22 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 12.05/12.22 tff(8923,plain,
% 12.05/12.23 (node185(c_s, s6, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8922, 2089, 6588, 5162])).
% 12.05/12.23 tff(8924,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8925,plain,
% 12.05/12.23 ((node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))) <=> (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8926,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))))),
% 12.05/12.23 inference(monotonicity,[status(thm)],[8925])).
% 12.05/12.23 tff(8927,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 12.05/12.23 inference(transitivity,[status(thm)],[8926, 8924])).
% 12.05/12.23 tff(8928,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8929,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8928, 8927])).
% 12.05/12.23 tff(8930,plain,
% 12.05/12.23 (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8929, 6631, 8923])).
% 12.05/12.23 tff(8931,plain,
% 12.05/12.23 (node182(c_s, s6) | node184(c_s, s6, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8930, 8919])).
% 12.05/12.23 tff(8932,plain,
% 12.05/12.23 (node184(c_s, s6, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8931, 8912])).
% 12.05/12.23 tff(8933,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8934,plain,
% 12.05/12.23 (((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on))) <=> ((~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8935,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7))))),
% 12.05/12.23 inference(monotonicity,[status(thm)],[8934])).
% 12.05/12.23 tff(8936,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7)))),
% 12.05/12.23 inference(transitivity,[status(thm)],[8935, 8933])).
% 12.05/12.23 tff(8937,plain,
% 12.05/12.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8938,plain,
% 12.05/12.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s7, c_on)) | m_state_v_FBM(c_s, s6, c_on) | (~node184(c_s, s6, s7))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 12.05/12.23 tff(8939,plain,
% 12.05/12.23 (~m_state_v_FBM(c_s, s7, c_on)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8938, 6645, 8908, 8932])).
% 12.05/12.23 tff(8940,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node182(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node182(c_s, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8941,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node182(c_s, s7)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8942,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node182(c_s, s7))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 12.05/12.23 tff(8943,plain,
% 12.05/12.23 (~node182(c_s, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8942, 6614, 8939])).
% 12.05/12.23 tff(8944,plain,
% 12.05/12.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s7, s8)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s7, s8)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s7, s8))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8945,plain,
% 12.05/12.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s7, s8)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s7, s8))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8946,plain,
% 12.05/12.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s7, s8)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s7, s8)),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 12.05/12.23 tff(8947,plain,
% 12.05/12.23 (node185(c_s, s7, s8)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8946, 2089, 6588, 5304])).
% 12.05/12.23 tff(8948,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node183(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node183(c_s, s7)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8949,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node183(c_s, s7)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8950,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node183(c_s, s7))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 12.05/12.23 tff(8951,plain,
% 12.05/12.23 (~node183(c_s, s7)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8950, 8888, 8417])).
% 12.05/12.23 tff(8952,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s7) | node183(c_s, s7) | node184(c_s, s7, s8) | (~node185(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s7) | node183(c_s, s7) | node184(c_s, s7, s8) | (~node185(c_s, s7, s8)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8953,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s7) | node183(c_s, s7) | node184(c_s, s7, s8) | (~node185(c_s, s7, s8)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8954,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s7) | node183(c_s, s7) | node184(c_s, s7, s8) | (~node185(c_s, s7, s8))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8953, 8952])).
% 12.05/12.23 tff(8955,plain,
% 12.05/12.23 (node182(c_s, s7) | node184(c_s, s7, s8)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8954, 6631, 8951, 8947])).
% 12.05/12.23 tff(8956,plain,
% 12.05/12.23 (node184(c_s, s7, s8)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8955, 8943])).
% 12.05/12.23 tff(8957,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8958,plain,
% 12.05/12.23 (((~node184(c_s, s7, s8)) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on))) <=> (m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8959,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s7, s8)) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8))))),
% 12.05/12.23 inference(monotonicity,[status(thm)],[8958])).
% 12.05/12.23 tff(8960,plain,
% 12.05/12.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s7, s8)) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8)))),
% 12.05/12.23 inference(transitivity,[status(thm)],[8959, 8957])).
% 12.05/12.23 tff(8961,plain,
% 12.05/12.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s7, s8)) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8962,plain,
% 12.05/12.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s7, c_on) | (~m_state_v_FBM(c_s, s8, c_on)) | (~node184(c_s, s7, s8))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 12.05/12.23 tff(8963,plain,
% 12.05/12.23 (~m_state_v_FBM(c_s, s8, c_on)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8962, 6645, 8939, 8956])).
% 12.05/12.23 tff(8964,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s8)) | m_state_v_FBM(c_s, s8, c_on))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s8)) | m_state_v_FBM(c_s, s8, c_on))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8965,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s8)) | m_state_v_FBM(c_s, s8, c_on))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8966,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s8)) | m_state_v_FBM(c_s, s8, c_on)),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 12.05/12.23 tff(8967,plain,
% 12.05/12.23 (~node2(c_s, s8)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8966, 6986, 8963])).
% 12.05/12.23 tff(8968,plain,
% 12.05/12.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8969,plain,
% 12.05/12.23 ((node4(c_s, s8, s9) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s8, s9))) <=> ((~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8970,plain,
% 12.05/12.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s8, s9) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9)))),
% 12.05/12.23 inference(monotonicity,[status(thm)],[8969])).
% 12.05/12.23 tff(8971,plain,
% 12.05/12.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s8, s9) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9))),
% 12.05/12.23 inference(transitivity,[status(thm)],[8970, 8968])).
% 12.05/12.23 tff(8972,plain,
% 12.05/12.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s8, s9) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s8, s9)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8973,plain,
% 12.05/12.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s8, s9)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s8, s9)),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 12.05/12.23 tff(8974,plain,
% 12.05/12.23 (node4(c_s, s8, s9)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8973, 2055, 2052, 5508])).
% 12.05/12.23 tff(8975,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8976,plain,
% 12.05/12.23 ((node1(c_s, s8) | node2(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9))) <=> (node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8977,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s8) | node2(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9))))),
% 12.05/12.23 inference(monotonicity,[status(thm)],[8976])).
% 12.05/12.23 tff(8978,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s8) | node2(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))),
% 12.05/12.23 inference(transitivity,[status(thm)],[8977, 8975])).
% 12.05/12.23 tff(8979,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s8) | node2(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8980,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9) | (~node4(c_s, s8, s9))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 12.05/12.23 tff(8981,plain,
% 12.05/12.23 (node2(c_s, s8) | node1(c_s, s8) | node3(c_s, s8, s9)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8980, 2241, 8974])).
% 12.05/12.23 tff(8982,plain,
% 12.05/12.23 (node1(c_s, s8) | node3(c_s, s8, s9)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8981, 8967])).
% 12.05/12.23 tff(8983,plain,
% 12.05/12.23 (node3(c_s, s8, s9)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8982, 8850])).
% 12.05/12.23 tff(8984,plain,
% 12.05/12.23 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8985,plain,
% 12.05/12.23 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8986,plain,
% 12.05/12.23 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8985, 8984])).
% 12.05/12.23 tff(8987,plain,
% 12.05/12.23 (~m_state_v_A1M(c_s, s6, c_extend)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8986, 2804, 5954])).
% 12.05/12.23 tff(8988,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8989,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8990,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 12.05/12.23 tff(8991,plain,
% 12.05/12.23 (~node124(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8990, 1509, 8987])).
% 12.05/12.23 tff(8992,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8993,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8994,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 12.05/12.23 tff(8995,plain,
% 12.05/12.23 (~node125(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8994, 1531, 5406])).
% 12.05/12.23 tff(8996,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(8997,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(8998,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle)),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 12.05/12.23 tff(8999,plain,
% 12.05/12.23 (~node122(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[8998, 2582, 5959])).
% 12.05/12.23 tff(9000,plain,
% 12.05/12.23 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))))),
% 12.05/12.23 inference(bind,[status(th)],[])).
% 12.05/12.23 tff(9001,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 12.05/12.23 inference(quant_intro,[status(thm)],[9000])).
% 12.05/12.23 tff(9002,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9003,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_35')).
% 12.05/12.23 tff(9004,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 12.05/12.23 tff(9005,plain,(
% 12.05/12.23 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 12.05/12.23 inference(skolemize,[status(sab)],[9004])).
% 12.05/12.23 tff(9006,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9005, 9001])).
% 12.05/12.23 tff(9007,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node127(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node127(c_s, s6)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9008,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node127(c_s, s6)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(9009,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node127(c_s, s6))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 12.05/12.23 tff(9010,plain,
% 12.05/12.23 (~node127(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9009, 9006, 5959])).
% 12.05/12.23 tff(9011,plain,
% 12.05/12.23 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))))),
% 12.05/12.23 inference(bind,[status(th)],[])).
% 12.05/12.23 tff(9012,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 12.05/12.23 inference(quant_intro,[status(thm)],[9011])).
% 12.05/12.23 tff(9013,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9014,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_31')).
% 12.05/12.23 tff(9015,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9014, 9013])).
% 12.05/12.23 tff(9016,plain,(
% 12.05/12.23 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 12.05/12.23 inference(skolemize,[status(sab)],[9015])).
% 12.05/12.23 tff(9017,plain,
% 12.05/12.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9016, 9012])).
% 12.05/12.23 tff(9018,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9019,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(9020,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 12.05/12.23 tff(9021,plain,
% 12.05/12.23 (~node126(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9020, 9017, 5959])).
% 12.05/12.23 tff(9022,assumption,(~m_state_v_pl(c_s, s6)), introduced(assumption)).
% 12.05/12.23 tff(9023,assumption,(node162(c_s, s5, s6)), introduced(assumption)).
% 12.05/12.23 tff(9024,assumption,(m_state_v_pl(c_s, s5)), introduced(assumption)).
% 12.05/12.23 tff(9025,plain,
% 12.05/12.23 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9026,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(9027,plain,
% 12.05/12.23 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6)),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 12.05/12.23 tff(9028,plain,
% 12.05/12.23 ($false),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9027, 2758, 9024, 9022, 9023])).
% 12.05/12.23 tff(9029,plain,((~node162(c_s, s5, s6)) | (~m_state_v_pl(c_s, s5)) | m_state_v_pl(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.23 tff(9030,plain,
% 12.05/12.23 ((~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9029, 6226])).
% 12.05/12.23 tff(9031,plain,
% 12.05/12.23 (~node162(c_s, s5, s6)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9030, 9022])).
% 12.05/12.23 tff(9032,plain,
% 12.05/12.23 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node160(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node160(c_s, s5)))),
% 12.05/12.23 inference(rewrite,[status(thm)],[])).
% 12.05/12.23 tff(9033,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~node160(c_s, s5)))),
% 12.05/12.23 inference(quant_inst,[status(thm)],[])).
% 12.05/12.23 tff(9034,plain,
% 12.05/12.23 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s5, c_retract) | (~node160(c_s, s5))),
% 12.05/12.23 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 12.05/12.23 tff(9035,plain,
% 12.05/12.23 (~node160(c_s, s5)),
% 12.05/12.23 inference(unit_resolution,[status(thm)],[9034, 5770, 5068])).
% 12.05/12.23 tff(9036,assumption,(~node160(c_s, s5)), introduced(assumption)).
% 12.05/12.23 tff(9037,assumption,(~node162(c_s, s5, s6)), introduced(assumption)).
% 12.05/12.23 tff(9038,assumption,(~node163(c_s, s5, s6)), introduced(assumption)).
% 12.05/12.23 tff(9039,plain,
% 12.05/12.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9040,plain,
% 12.05/12.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9041,plain,
% 12.05/12.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6)),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 12.05/12.24 tff(9042,plain,
% 12.05/12.24 ($false),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9041, 52, 2701, 15, 9038])).
% 12.05/12.24 tff(9043,plain,(node163(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.24 tff(9044,plain,
% 12.05/12.24 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9045,plain,
% 12.05/12.24 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9046,plain,
% 12.05/12.24 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9045, 9044])).
% 12.05/12.24 tff(9047,plain,
% 12.05/12.24 (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9046, 2715, 9043])).
% 12.05/12.24 tff(9048,plain,
% 12.05/12.24 (node161(c_s, s5)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9047, 9036, 9037])).
% 12.05/12.24 tff(9049,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9050,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9051,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 12.05/12.24 tff(9052,plain,
% 12.05/12.24 (m_state_v_angle(c_s, s5, c_arm1topress)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9051, 2673, 9048])).
% 12.05/12.24 tff(9053,plain,
% 12.05/12.24 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))))),
% 12.05/12.24 inference(bind,[status(th)],[])).
% 12.05/12.24 tff(9054,plain,
% 12.05/12.24 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.05/12.24 inference(quant_intro,[status(thm)],[9053])).
% 12.05/12.24 tff(9055,plain,
% 12.05/12.24 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9056,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_192')).
% 12.05/12.24 tff(9057,plain,
% 12.05/12.24 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 12.05/12.24 tff(9058,plain,(
% 12.05/12.24 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.05/12.24 inference(skolemize,[status(sab)],[9057])).
% 12.05/12.24 tff(9059,plain,
% 12.05/12.24 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9058, 9054])).
% 12.05/12.24 tff(9060,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node161(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node161(c_s, s5)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9061,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~node161(c_s, s5)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9062,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~node161(c_s, s5))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 12.05/12.24 tff(9063,plain,
% 12.05/12.24 (m_state_v_a1ext(c_s, s5, c_retracted)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9062, 9059, 9048])).
% 12.05/12.24 tff(9064,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9065,plain,
% 12.05/12.24 ((m_state_v_A1M(c_s, s5, c_retract) | (~node161(c_s, s5))) <=> ((~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9066,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s5, c_retract) | (~node161(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract)))),
% 12.05/12.24 inference(monotonicity,[status(thm)],[9065])).
% 12.05/12.24 tff(9067,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s5, c_retract) | (~node161(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))),
% 12.05/12.24 inference(transitivity,[status(thm)],[9066, 9064])).
% 12.05/12.24 tff(9068,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s5, c_retract) | (~node161(c_s, s5)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9069,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract)),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 12.05/12.24 tff(9070,plain,
% 12.05/12.24 (m_state_v_A1M(c_s, s5, c_retract)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9069, 5781, 9048])).
% 12.05/12.24 tff(9071,plain,
% 12.05/12.24 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y))))),
% 12.05/12.24 inference(bind,[status(th)],[])).
% 12.05/12.24 tff(9072,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(quant_intro,[status(thm)],[9071])).
% 12.05/12.24 tff(9073,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9074,plain,
% 12.05/12.24 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X))), (((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) <=> (((~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))))), rewrite((((~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X))), (((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)))), ((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X))), ((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)))), (((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | m_state_v_pl(J0, Y)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X)) | m_state_v_pl(J0, Y)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y))), (((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y)))), ((((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))), ((((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))))),
% 12.05/12.24 inference(bind,[status(th)],[])).
% 12.05/12.24 tff(9075,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : (((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(quant_intro,[status(thm)],[9074])).
% 12.05/12.24 tff(9076,axiom,(![Y: $i, X: $i, J0: $i] : (((((node160(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_pl(J0, Y)) | (~node163(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_196')).
% 12.05/12.24 tff(9077,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 12.05/12.24 tff(9078,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9077, 9073])).
% 12.05/12.24 tff(9079,plain,(
% 12.05/12.24 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(skolemize,[status(sab)],[9078])).
% 12.05/12.24 tff(9080,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9079, 9072])).
% 12.05/12.24 tff(9081,plain,
% 12.05/12.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9082,plain,
% 12.05/12.24 (((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~node163(c_s, s5, s6))) <=> ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9083,plain,
% 12.05/12.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~node163(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6))))),
% 12.05/12.24 inference(monotonicity,[status(thm)],[9082])).
% 12.05/12.24 tff(9084,plain,
% 12.05/12.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~node163(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(transitivity,[status(thm)],[9083, 9081])).
% 12.05/12.24 tff(9085,plain,
% 12.05/12.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~node163(c_s, s5, s6)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9086,plain,
% 12.05/12.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract)) | (~node163(c_s, s5, s6))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 12.05/12.24 tff(9087,plain,
% 12.05/12.24 ((~m_state_v_a1ext(c_s, s5, c_retracted)) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | node160(c_s, s5) | m_state_v_pl(c_s, s6) | (~m_state_v_A1M(c_s, s5, c_retract))),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9086, 9080, 9043])).
% 12.05/12.24 tff(9088,plain,
% 12.05/12.24 ($false),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9087, 9070, 9063, 9052, 9022, 9036])).
% 12.05/12.24 tff(9089,plain,(node160(c_s, s5) | m_state_v_pl(c_s, s6) | node162(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.24 tff(9090,plain,
% 12.05/12.24 (m_state_v_pl(c_s, s6) | node162(c_s, s5, s6)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9089, 9035])).
% 12.05/12.24 tff(9091,plain,
% 12.05/12.24 ($false),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9090, 9031, 9022])).
% 12.05/12.24 tff(9092,plain,(m_state_v_pl(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.24 tff(9093,plain,
% 12.05/12.24 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9094,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9095,plain,
% 12.05/12.24 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 12.05/12.24 tff(9096,plain,
% 12.05/12.24 (~node123(c_s, s6)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9095, 2773, 9092])).
% 12.05/12.24 tff(9097,plain,
% 12.05/12.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9098,plain,
% 12.05/12.24 (((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9099,plain,
% 12.05/12.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7)))),
% 12.05/12.24 inference(monotonicity,[status(thm)],[9098])).
% 12.05/12.24 tff(9100,plain,
% 12.05/12.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.05/12.24 inference(transitivity,[status(thm)],[9099, 9097])).
% 12.05/12.24 tff(9101,plain,
% 12.05/12.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.05/12.24 inference(quant_inst,[status(thm)],[])).
% 12.05/12.24 tff(9102,plain,
% 12.05/12.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7)),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 12.05/12.24 tff(9103,plain,
% 12.05/12.24 (node131(c_s, s6, s7)),
% 12.05/12.24 inference(unit_resolution,[status(thm)],[9102, 52, 1481, 5162])).
% 12.05/12.24 tff(9104,plain,
% 12.05/12.24 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))))),
% 12.05/12.24 inference(bind,[status(th)],[])).
% 12.05/12.24 tff(9105,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(quant_intro,[status(thm)],[9104])).
% 12.05/12.24 tff(9106,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9107,plain,
% 12.05/12.24 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | m_state_v_A1M(J0, Y, c_idle)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)))), (((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))), (((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))))),
% 12.05/12.24 inference(bind,[status(th)],[])).
% 12.05/12.24 tff(9108,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(quant_intro,[status(thm)],[9107])).
% 12.05/12.24 tff(9109,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_51')).
% 12.05/12.24 tff(9110,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9109, 9108])).
% 12.05/12.24 tff(9111,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9110, 9106])).
% 12.05/12.24 tff(9112,plain,(
% 12.05/12.24 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(skolemize,[status(sab)],[9111])).
% 12.05/12.24 tff(9113,plain,
% 12.05/12.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.05/12.24 inference(modus_ponens,[status(thm)],[9112, 9105])).
% 12.05/12.24 tff(9114,plain,
% 12.05/12.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7)))),
% 12.05/12.24 inference(rewrite,[status(thm)],[])).
% 12.05/12.24 tff(9115,plain,
% 12.05/12.24 (((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | (~node131(c_s, s6, s7))) <=> (node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9116,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7))))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9115])).
% 12.05/12.25 tff(9117,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7)))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9116, 9114])).
% 12.05/12.25 tff(9118,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | (~node131(c_s, s6, s7)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9119,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node131(c_s, s6, s7))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9118, 9117])).
% 12.05/12.25 tff(9120,plain,
% 12.05/12.25 (node123(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9119, 9113, 9103])).
% 12.05/12.25 tff(9121,plain,
% 12.05/12.25 ((~m_state_v_A1M(c_s, s6, c_retract)) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | m_state_v_A1M(c_s, s7, c_idle) | node125(c_s, s6) | node124(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9120, 9096])).
% 12.05/12.25 tff(9122,plain,
% 12.05/12.25 (m_state_v_A1M(c_s, s7, c_idle) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9121, 5954, 9021, 9010, 4818, 8999, 8995, 8991])).
% 12.05/12.25 tff(9123,plain,
% 12.05/12.25 (m_state_v_A1M(c_s, s7, c_idle)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9122, 6314])).
% 12.05/12.25 tff(9124,plain,
% 12.05/12.25 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_A1M(c_s, s7, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_A1M(c_s, s7, c_idle)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9125,plain,
% 12.05/12.25 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_A1M(c_s, s7, c_idle)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9126,plain,
% 12.05/12.25 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_A1M(c_s, s7, c_idle))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 12.05/12.25 tff(9127,plain,
% 12.05/12.25 (~m_state_v_A1M(c_s, s7, c_retract)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9126, 847, 9123])).
% 12.05/12.25 tff(9128,plain,
% 12.05/12.25 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9129,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9130,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract)),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9129, 9128])).
% 12.05/12.25 tff(9131,plain,
% 12.05/12.25 (~node1(c_s, s7)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9130, 2072, 9127])).
% 12.05/12.25 tff(9132,plain,
% 12.05/12.25 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s7)) | m_state_v_FBM(c_s, s7, c_on))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s7)) | m_state_v_FBM(c_s, s7, c_on))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9133,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s7)) | m_state_v_FBM(c_s, s7, c_on))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9134,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s7)) | m_state_v_FBM(c_s, s7, c_on)),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 12.05/12.25 tff(9135,plain,
% 12.05/12.25 (~node2(c_s, s7)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9134, 6986, 8939])).
% 12.05/12.25 tff(9136,plain,
% 12.05/12.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9137,plain,
% 12.05/12.25 ((node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8))) <=> ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9138,plain,
% 12.05/12.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8)))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9137])).
% 12.05/12.25 tff(9139,plain,
% 12.05/12.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9138, 9136])).
% 12.05/12.25 tff(9140,plain,
% 12.05/12.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9141,plain,
% 12.05/12.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8)),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 12.05/12.25 tff(9142,plain,
% 12.05/12.25 (node4(c_s, s7, s8)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9141, 2055, 2052, 5304])).
% 12.05/12.25 tff(9143,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9144,plain,
% 12.05/12.25 ((node1(c_s, s7) | node2(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8))) <=> (node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9145,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s7) | node2(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8))))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9144])).
% 12.05/12.25 tff(9146,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s7) | node2(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9145, 9143])).
% 12.05/12.25 tff(9147,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s7) | node2(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9148,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8) | (~node4(c_s, s7, s8))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 12.05/12.25 tff(9149,plain,
% 12.05/12.25 (node2(c_s, s7) | node1(c_s, s7) | node3(c_s, s7, s8)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9148, 2241, 9142])).
% 12.05/12.25 tff(9150,plain,
% 12.05/12.25 (node1(c_s, s7) | node3(c_s, s7, s8)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9149, 9135])).
% 12.05/12.25 tff(9151,plain,
% 12.05/12.25 (node3(c_s, s7, s8)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9150, 9131])).
% 12.05/12.25 tff(9152,plain,
% 12.05/12.25 (^[Y: $i, X: $i, J0: $i] : refl(((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y))) <=> ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y))))),
% 12.05/12.25 inference(bind,[status(th)],[])).
% 12.05/12.25 tff(9153,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(quant_intro,[status(thm)],[9152])).
% 12.05/12.25 tff(9154,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9155,plain,
% 12.05/12.25 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_tl(J0, Y)) | m_state_v_tl(J0, X)) | (~node3(J0, X, Y))) <=> ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y))))),
% 12.05/12.25 inference(bind,[status(th)],[])).
% 12.05/12.25 tff(9156,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_tl(J0, Y)) | m_state_v_tl(J0, X)) | (~node3(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(quant_intro,[status(thm)],[9155])).
% 12.05/12.25 tff(9157,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_tl(J0, Y)) | m_state_v_tl(J0, X)) | (~node3(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_8')).
% 12.05/12.25 tff(9158,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 12.05/12.25 tff(9159,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9158, 9154])).
% 12.05/12.25 tff(9160,plain,(
% 12.05/12.25 ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(skolemize,[status(sab)],[9159])).
% 12.05/12.25 tff(9161,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9160, 9153])).
% 12.05/12.25 tff(9162,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | (m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9163,plain,
% 12.05/12.25 (((~node3(c_s, s7, s8)) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8))) <=> (m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9164,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s7, s8)) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | (m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8))))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9163])).
% 12.05/12.25 tff(9165,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s7, s8)) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8)))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9164, 9162])).
% 12.05/12.25 tff(9166,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s7, s8)) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9167,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s7) | (~m_state_v_tl(c_s, s8)) | (~node3(c_s, s7, s8))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 12.05/12.25 tff(9168,plain,
% 12.05/12.25 (~m_state_v_tl(c_s, s8)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9167, 9161, 6340, 9151])).
% 12.05/12.25 tff(9169,assumption,(node3(c_s, s8, s9)), introduced(assumption)).
% 12.05/12.25 tff(9170,assumption,(m_state_v_tl(c_s, s9)), introduced(assumption)).
% 12.05/12.25 tff(9171,assumption,(~m_state_v_tl(c_s, s8)), introduced(assumption)).
% 12.05/12.25 tff(9172,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | (m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9173,plain,
% 12.05/12.25 (((~node3(c_s, s8, s9)) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9))) <=> (m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9174,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s8, s9)) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | (m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9))))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9173])).
% 12.05/12.25 tff(9175,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s8, s9)) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9)))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9174, 9172])).
% 12.05/12.25 tff(9176,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | ((~node3(c_s, s8, s9)) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9177,plain,
% 12.05/12.25 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | m_state_v_tl(J0, X) | (~m_state_v_tl(J0, Y)))) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9)) | (~node3(c_s, s8, s9))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 12.05/12.25 tff(9178,plain,
% 12.05/12.25 ($false),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9177, 9161, 9171, 9170, 9169])).
% 12.05/12.25 tff(9179,plain,((~node3(c_s, s8, s9)) | m_state_v_tl(c_s, s8) | (~m_state_v_tl(c_s, s9))), inference(lemma,lemma(discharge,[]))).
% 12.05/12.25 tff(9180,plain,
% 12.05/12.25 (~m_state_v_tl(c_s, s9)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9179, 9168, 8983])).
% 12.05/12.25 tff(9181,plain,
% 12.05/12.25 (^[X: $i, J0: $i] : refl((m_state_v_tl(J0, X) | (~node164(J0, X))) <=> (m_state_v_tl(J0, X) | (~node164(J0, X))))),
% 12.05/12.25 inference(bind,[status(th)],[])).
% 12.05/12.25 tff(9182,plain,
% 12.05/12.25 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))),
% 12.05/12.25 inference(quant_intro,[status(thm)],[9181])).
% 12.05/12.25 tff(9183,plain,
% 12.05/12.25 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9184,axiom,(![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_5')).
% 12.05/12.25 tff(9185,plain,
% 12.05/12.25 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 12.05/12.25 tff(9186,plain,(
% 12.05/12.25 ![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))),
% 12.05/12.25 inference(skolemize,[status(sab)],[9185])).
% 12.05/12.25 tff(9187,plain,
% 12.05/12.25 (![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9186, 9182])).
% 12.05/12.25 tff(9188,plain,
% 12.05/12.25 (((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s9)) | m_state_v_tl(c_s, s9))) <=> ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s9)) | m_state_v_tl(c_s, s9))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9189,plain,
% 12.05/12.25 ((m_state_v_tl(c_s, s9) | (~node164(c_s, s9))) <=> ((~node164(c_s, s9)) | m_state_v_tl(c_s, s9))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9190,plain,
% 12.05/12.25 (((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (m_state_v_tl(c_s, s9) | (~node164(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | ((~node164(c_s, s9)) | m_state_v_tl(c_s, s9)))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9189])).
% 12.05/12.25 tff(9191,plain,
% 12.05/12.25 (((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (m_state_v_tl(c_s, s9) | (~node164(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s9)) | m_state_v_tl(c_s, s9))),
% 12.05/12.25 inference(transitivity,[status(thm)],[9190, 9188])).
% 12.05/12.25 tff(9192,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (m_state_v_tl(c_s, s9) | (~node164(c_s, s9)))),
% 12.05/12.25 inference(quant_inst,[status(thm)],[])).
% 12.05/12.25 tff(9193,plain,
% 12.05/12.25 ((~![X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~node164(J0, X)))) | (~node164(c_s, s9)) | m_state_v_tl(c_s, s9)),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9192, 9191])).
% 12.05/12.25 tff(9194,plain,
% 12.05/12.25 (~node164(c_s, s9)),
% 12.05/12.25 inference(unit_resolution,[status(thm)],[9193, 9187, 9180])).
% 12.05/12.25 tff(9195,assumption,(node169(c_s, s9, s9)), introduced(assumption)).
% 12.05/12.25 tff(9196,assumption,(m_state_v_minRot(c_s, s9)), introduced(assumption)).
% 12.05/12.25 tff(9197,assumption,(~node166(c_s, s9)), introduced(assumption)).
% 12.05/12.25 tff(9198,assumption,(~node164(c_s, s9)), introduced(assumption)).
% 12.05/12.25 tff(9199,assumption,(~node165(c_s, s9)), introduced(assumption)).
% 12.05/12.25 tff(9200,assumption,(~m_state_v_TRM(c_s, s9, c_idle)), introduced(assumption)).
% 12.05/12.25 tff(9201,assumption,(m_state_v_TRM(c_s, s9, c_counterclockwise)), introduced(assumption)).
% 12.05/12.25 tff(9202,plain,
% 12.05/12.25 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))))),
% 12.05/12.25 inference(bind,[status(th)],[])).
% 12.05/12.25 tff(9203,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(quant_intro,[status(thm)],[9202])).
% 12.05/12.25 tff(9204,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9205,plain,
% 12.05/12.25 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node164(J0, X) | node165(J0, X)) | node166(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) <=> (((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_minRot(J0, X))))), rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_minRot(J0, X))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> (((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | m_state_v_TRM(J0, Y, c_idle)))), rewrite((((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)))), (((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> (((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))), (((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))))),
% 12.05/12.25 inference(bind,[status(th)],[])).
% 12.05/12.25 tff(9206,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(quant_intro,[status(thm)],[9205])).
% 12.05/12.25 tff(9207,axiom,(![Y: $i, X: $i, J0: $i] : ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_ERTable_20')).
% 12.05/12.25 tff(9208,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9207, 9206])).
% 12.05/12.25 tff(9209,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9208, 9204])).
% 12.05/12.25 tff(9210,plain,(
% 12.05/12.25 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(skolemize,[status(sab)],[9209])).
% 12.05/12.25 tff(9211,plain,
% 12.05/12.25 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.05/12.25 inference(modus_ponens,[status(thm)],[9210, 9203])).
% 12.05/12.25 tff(9212,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9213,plain,
% 12.05/12.25 (((~m_state_v_minRot(c_s, s9)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | m_state_v_TRM(c_s, s9, c_idle) | (~node169(c_s, s9, s9))) <=> ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9)))),
% 12.05/12.25 inference(rewrite,[status(thm)],[])).
% 12.05/12.25 tff(9214,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s9)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | m_state_v_TRM(c_s, s9, c_idle) | (~node169(c_s, s9, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9))))),
% 12.05/12.25 inference(monotonicity,[status(thm)],[9213])).
% 12.05/12.25 tff(9215,plain,
% 12.05/12.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s9)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | m_state_v_TRM(c_s, s9, c_idle) | (~node169(c_s, s9, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9)))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9214, 9212])).
% 12.05/12.26 tff(9216,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s9)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | m_state_v_TRM(c_s, s9, c_idle) | (~node169(c_s, s9, s9)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9217,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9)) | (~node169(c_s, s9, s9))),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 12.05/12.26 tff(9218,plain,
% 12.05/12.26 ($false),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9217, 9211, 9201, 9200, 9199, 9198, 9197, 9196, 9195])).
% 12.05/12.26 tff(9219,plain,((~node169(c_s, s9, s9)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_TRM(c_s, s9, c_idle) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | (~m_state_v_minRot(c_s, s9))), inference(lemma,lemma(discharge,[]))).
% 12.05/12.26 tff(9220,plain,
% 12.05/12.26 (~node169(c_s, s9, s9)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9219, 9194, 8831, 8820, 8816, 8718, 8680])).
% 12.05/12.26 tff(9221,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9222,plain,
% 12.05/12.26 (((~trans(s9, s9)) | node169(c_s, s9, s9) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9223,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s9)) | node169(c_s, s9, s9) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9)))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9222])).
% 12.05/12.26 tff(9224,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s9)) | node169(c_s, s9, s9) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9223, 9221])).
% 12.05/12.26 tff(9225,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s9)) | node169(c_s, s9, s9) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9226,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s9, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s9, s9)),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 12.05/12.26 tff(9227,plain,
% 12.05/12.26 ((~trans(s9, s9)) | node169(c_s, s9, s9)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9226, 2435, 2432])).
% 12.05/12.26 tff(9228,plain,
% 12.05/12.26 (~trans(s9, s9)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9227, 9220])).
% 12.05/12.26 tff(9229,assumption,(node22(c_s, s9, s7)), introduced(assumption)).
% 12.05/12.26 tff(9230,assumption,(m_state_v_topPos(c_s, s7)), introduced(assumption)).
% 12.05/12.26 tff(9231,assumption,(~m_state_v_TEM(c_s, s9, c_up)), introduced(assumption)).
% 12.05/12.26 tff(9232,assumption,(m_state_v_TEM(c_s, s9, c_down)), introduced(assumption)).
% 12.05/12.26 tff(9233,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9234,plain,
% 12.05/12.26 (((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9235,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7))))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9234])).
% 12.05/12.26 tff(9236,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7)))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9235, 9233])).
% 12.05/12.26 tff(9237,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9238,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s7))),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 12.05/12.26 tff(9239,plain,
% 12.05/12.26 ($false),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9238, 7715, 9232, 9231, 9230, 9229])).
% 12.05/12.26 tff(9240,plain,((~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7))), inference(lemma,lemma(discharge,[]))).
% 12.05/12.26 tff(9241,plain,
% 12.05/12.26 ((~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)) | m_state_v_TEM(c_s, s9, c_up)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9240, 8391])).
% 12.05/12.26 tff(9242,plain,
% 12.05/12.26 (~node22(c_s, s9, s7)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9241, 8569, 8576])).
% 12.05/12.26 tff(9243,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9244,plain,
% 12.05/12.26 (((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9245,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7)))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9244])).
% 12.05/12.26 tff(9246,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9245, 9243])).
% 12.05/12.26 tff(9247,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9248,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7)),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 12.05/12.26 tff(9249,plain,
% 12.05/12.26 ((~trans(s9, s7)) | node22(c_s, s9, s7)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9248, 28, 1909])).
% 12.05/12.26 tff(9250,plain,
% 12.05/12.26 (~trans(s9, s7)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9249, 9242])).
% 12.05/12.26 tff(9251,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9252,plain,
% 12.05/12.26 (((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9253,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2))))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9252])).
% 12.05/12.26 tff(9254,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2)))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9253, 9251])).
% 12.05/12.26 tff(9255,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9256,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2))),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 12.05/12.26 tff(9257,plain,
% 12.05/12.26 (m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s2))),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9256, 7715, 2525])).
% 12.05/12.26 tff(9258,plain,
% 12.05/12.26 (~node22(c_s, s9, s2)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9257, 8576, 8569])).
% 12.05/12.26 tff(9259,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9260,plain,
% 12.05/12.26 (((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9261,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2)))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9260])).
% 12.05/12.26 tff(9262,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9261, 9259])).
% 12.05/12.26 tff(9263,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9264,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2)),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 12.05/12.26 tff(9265,plain,
% 12.05/12.26 (~trans(s9, s2)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9264, 28, 1909, 9258])).
% 12.05/12.26 tff(9266,assumption,(node26(c_s, s9, s4)), introduced(assumption)).
% 12.05/12.26 tff(9267,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9268,plain,
% 12.05/12.26 ((m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9269,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4))))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9268])).
% 12.05/12.26 tff(9270,plain,
% 12.05/12.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9269, 9267])).
% 12.05/12.26 tff(9271,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9272,plain,
% 12.05/12.26 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | m_state_v_minRot(c_s, s4) | (~node26(c_s, s9, s4))),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9271, 9270])).
% 12.05/12.26 tff(9273,plain,
% 12.05/12.26 ($false),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9272, 8672, 9201, 7433, 9266])).
% 12.05/12.26 tff(9274,plain,((~node26(c_s, s9, s4)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise))), inference(lemma,lemma(discharge,[]))).
% 12.05/12.26 tff(9275,plain,
% 12.05/12.26 (~node26(c_s, s9, s4)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9274, 8816])).
% 12.05/12.26 tff(9276,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9277,plain,
% 12.05/12.26 (((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s9, s4)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9278,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4)))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9277])).
% 12.05/12.26 tff(9279,plain,
% 12.05/12.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9278, 9276])).
% 12.05/12.26 tff(9280,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s9, s4))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9281,plain,
% 12.05/12.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node26(c_s, s9, s4)),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 12.05/12.26 tff(9282,plain,
% 12.05/12.26 ((~trans(s9, s4)) | node26(c_s, s9, s4)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9281, 28, 6545])).
% 12.05/12.26 tff(9283,plain,
% 12.05/12.26 (~trans(s9, s4)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9282, 9275])).
% 12.05/12.26 tff(9284,plain,
% 12.05/12.26 (~node37(c_s, s8)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5362, 5359, 8836])).
% 12.05/12.26 tff(9285,plain,
% 12.05/12.26 (~m_state_v_angle(c_s, s8, c_arm2todepbelt)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5344, 3761, 8832])).
% 12.05/12.26 tff(9286,plain,
% 12.05/12.26 (~node39(c_s, s8)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5351, 287, 9285])).
% 12.05/12.26 tff(9287,plain,
% 12.05/12.26 (~m_state_v_angle(c_s, s8, c_arm1topress)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5336, 4563, 8832])).
% 12.05/12.26 tff(9288,plain,
% 12.05/12.26 (~node40(c_s, s8)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5340, 309, 9287])).
% 12.05/12.26 tff(9289,plain,
% 12.05/12.26 (~node43(c_s, s7)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5370, 4389, 5523])).
% 12.05/12.26 tff(9290,plain,
% 12.05/12.26 (node47(c_s, s7, s8)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5479, 9289])).
% 12.05/12.26 tff(9291,plain,
% 12.05/12.26 (~m_state_v_angle_status(c_s, s8, c_arm2stoppedatpress)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5496, 5490, 5293, 9290])).
% 12.05/12.26 tff(9292,plain,
% 12.05/12.26 (~node38(c_s, s8)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5500, 4656, 9291])).
% 12.05/12.26 tff(9293,plain,
% 12.05/12.26 (node41(c_s, s8, s9)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[5519, 9292, 9288, 9286, 9284])).
% 12.05/12.26 tff(9294,plain,
% 12.05/12.26 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9295,plain,
% 12.05/12.26 (((~node41(c_s, s8, s9)) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress))) <=> (m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9)))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9296,plain,
% 12.05/12.26 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s8, s9)) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9))))),
% 12.05/12.26 inference(monotonicity,[status(thm)],[9295])).
% 12.05/12.26 tff(9297,plain,
% 12.05/12.26 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s8, s9)) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9)))),
% 12.05/12.26 inference(transitivity,[status(thm)],[9296, 9294])).
% 12.05/12.26 tff(9298,plain,
% 12.05/12.26 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s8, s9)) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)))),
% 12.05/12.26 inference(quant_inst,[status(thm)],[])).
% 12.05/12.26 tff(9299,plain,
% 12.05/12.26 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~node41(c_s, s8, s9))),
% 12.05/12.26 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 12.05/12.26 tff(9300,plain,
% 12.05/12.26 (~m_state_v_angle(c_s, s9, c_arm1topress)),
% 12.05/12.26 inference(unit_resolution,[status(thm)],[9299, 340, 9287, 9293])).
% 12.05/12.26 tff(9301,plain,
% 12.05/12.26 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s9)) | m_state_v_angle(c_s, s9, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s9)) | m_state_v_angle(c_s, s9, c_arm1topress))),
% 12.05/12.26 inference(rewrite,[status(thm)],[])).
% 12.05/12.26 tff(9302,plain,
% 12.05/12.26 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s9)) | m_state_v_angle(c_s, s9, c_arm1topress))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9303,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s9)) | m_state_v_angle(c_s, s9, c_arm1topress)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 12.05/12.27 tff(9304,plain,
% 12.05/12.27 (~node30(c_s, s9)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9303, 864, 9300])).
% 12.05/12.27 tff(9305,plain,
% 12.05/12.27 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X))))),
% 12.05/12.27 inference(bind,[status(th)],[])).
% 12.05/12.27 tff(9306,plain,
% 12.05/12.27 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))),
% 12.05/12.27 inference(quant_intro,[status(thm)],[9305])).
% 12.05/12.27 tff(9307,plain,
% 12.05/12.27 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9308,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_37')).
% 12.05/12.27 tff(9309,plain,
% 12.05/12.27 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 12.05/12.27 tff(9310,plain,(
% 12.05/12.27 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))),
% 12.05/12.27 inference(skolemize,[status(sab)],[9309])).
% 12.05/12.27 tff(9311,plain,
% 12.05/12.27 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9310, 9306])).
% 12.05/12.27 tff(9312,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1totable) | (~node29(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1totable) | (~node29(c_s, s9)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9313,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1totable) | (~node29(c_s, s9)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9314,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1totable) | (~node29(c_s, s9))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 12.05/12.27 tff(9315,plain,
% 12.05/12.27 (~node29(c_s, s9)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9314, 9311, 5521])).
% 12.05/12.27 tff(9316,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node29(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node29(c_s, s8)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9317,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node29(c_s, s8)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9318,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node29(c_s, s8))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 12.05/12.27 tff(9319,plain,
% 12.05/12.27 (~node29(c_s, s8)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9318, 9311, 8836])).
% 12.05/12.27 tff(9320,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1topress))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9321,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1topress))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9322,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s8)) | m_state_v_angle(c_s, s8, c_arm1topress)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 12.05/12.27 tff(9323,plain,
% 12.05/12.27 (~node30(c_s, s8)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9322, 864, 9287])).
% 12.05/12.27 tff(9324,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node128(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s7, c_retract) | (~node128(c_s, s7)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9325,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node128(c_s, s7)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9326,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s7, c_retract) | (~node128(c_s, s7))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9325, 9324])).
% 12.05/12.27 tff(9327,plain,
% 12.05/12.27 (~node128(c_s, s7)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9326, 1495, 9127])).
% 12.05/12.27 tff(9328,assumption,(~m_state_v_A1M(c_s, s6, c_extend)), introduced(assumption)).
% 12.05/12.27 tff(9329,assumption,(~m_state_v_A1M(c_s, s6, c_idle)), introduced(assumption)).
% 12.05/12.27 tff(9330,assumption,(~m_state_v_a1ext(c_s, s7, c_retracted)), introduced(assumption)).
% 12.05/12.27 tff(9331,assumption,(~node32(c_s, s6, s7)), introduced(assumption)).
% 12.05/12.27 tff(9332,plain,
% 12.05/12.27 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9333,plain,
% 12.05/12.27 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9334,plain,
% 12.05/12.27 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 12.05/12.27 tff(9335,plain,
% 12.05/12.27 ($false),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9334, 28, 825, 5162, 9331])).
% 12.05/12.27 tff(9336,plain,(node32(c_s, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.27 tff(9337,assumption,(~node30(c_s, s6)), introduced(assumption)).
% 12.05/12.27 tff(9338,plain,
% 12.05/12.27 (^[I0: $i, X: $i] : refl((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)))),
% 12.05/12.27 inference(bind,[status(th)],[])).
% 12.05/12.27 tff(9339,plain,
% 12.05/12.27 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(quant_intro,[status(thm)],[9338])).
% 12.05/12.27 tff(9340,plain,
% 12.05/12.27 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9341,plain,
% 12.05/12.27 (^[I0: $i, X: $i] : rewrite(((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle)) <=> (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)))),
% 12.05/12.27 inference(bind,[status(th)],[])).
% 12.05/12.27 tff(9342,plain,
% 12.05/12.27 (![I0: $i, X: $i] : ((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(quant_intro,[status(thm)],[9341])).
% 12.05/12.27 tff(9343,axiom,(![I0: $i, X: $i] : ((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_1')).
% 12.05/12.27 tff(9344,plain,
% 12.05/12.27 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 12.05/12.27 tff(9345,plain,
% 12.05/12.27 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9344, 9340])).
% 12.05/12.27 tff(9346,plain,(
% 12.05/12.27 ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(skolemize,[status(sab)],[9345])).
% 12.05/12.27 tff(9347,plain,
% 12.05/12.27 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9346, 9339])).
% 12.05/12.27 tff(9348,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9349,plain,
% 12.05/12.27 ((m_state_v_A1M(c_s, s6, c_extend) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_idle)) <=> (m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9350,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s6, c_extend) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_idle))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend)))),
% 12.05/12.27 inference(monotonicity,[status(thm)],[9349])).
% 12.05/12.27 tff(9351,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s6, c_extend) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_idle))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend))),
% 12.05/12.27 inference(transitivity,[status(thm)],[9350, 9348])).
% 12.05/12.27 tff(9352,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s6, c_extend) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_idle))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9353,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | m_state_v_A1M(c_s, s6, c_idle) | m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9352, 9351])).
% 12.05/12.27 tff(9354,plain,
% 12.05/12.27 (m_state_v_A1M(c_s, s6, c_retract) | m_state_v_A1M(c_s, s6, c_extend)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9353, 9347, 9329])).
% 12.05/12.27 tff(9355,plain,
% 12.05/12.27 (m_state_v_A1M(c_s, s6, c_retract)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9354, 9328])).
% 12.05/12.27 tff(9356,plain,
% 12.05/12.27 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)))),
% 12.05/12.27 inference(bind,[status(th)],[])).
% 12.05/12.27 tff(9357,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(quant_intro,[status(thm)],[9356])).
% 12.05/12.27 tff(9358,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9359,plain,
% 12.05/12.27 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X))), ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) <=> (((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X)) | m_state_v_a1ext(J0, Y, c_retracted)))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted))), ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)))), (((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))), (((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))))),
% 12.05/12.27 inference(bind,[status(th)],[])).
% 12.05/12.27 tff(9360,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(quant_intro,[status(thm)],[9359])).
% 12.05/12.27 tff(9361,axiom,(![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_44')).
% 12.05/12.27 tff(9362,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 12.05/12.27 tff(9363,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9362, 9358])).
% 12.05/12.27 tff(9364,plain,(
% 12.05/12.27 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(skolemize,[status(sab)],[9363])).
% 12.05/12.27 tff(9365,plain,
% 12.05/12.27 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9364, 9357])).
% 12.05/12.27 tff(9366,plain,
% 12.05/12.27 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9367,plain,
% 12.05/12.27 (((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted)) <=> ((~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9368,plain,
% 12.05/12.27 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6)))),
% 12.05/12.27 inference(monotonicity,[status(thm)],[9367])).
% 12.05/12.27 tff(9369,plain,
% 12.05/12.27 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6))),
% 12.05/12.27 inference(transitivity,[status(thm)],[9368, 9366])).
% 12.05/12.27 tff(9370,plain,
% 12.05/12.27 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9371,plain,
% 12.05/12.27 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 12.05/12.27 tff(9372,plain,
% 12.05/12.27 ((~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9371, 9365])).
% 12.05/12.27 tff(9373,plain,
% 12.05/12.27 (node29(c_s, s6)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9372, 9355, 9337, 9336, 9330])).
% 12.05/12.27 tff(9374,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9375,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9376,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 12.05/12.27 tff(9377,plain,
% 12.05/12.27 ($false),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9376, 887, 9373, 9328])).
% 12.05/12.27 tff(9378,plain,(m_state_v_A1M(c_s, s6, c_extend) | node30(c_s, s6) | m_state_v_a1ext(c_s, s7, c_retracted) | m_state_v_A1M(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.27 tff(9379,plain,
% 12.05/12.27 (node30(c_s, s6)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9378, 9328, 9330, 9329])).
% 12.05/12.27 tff(9380,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node30(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node30(c_s, s6)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9381,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node30(c_s, s6)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9382,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node30(c_s, s6))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 12.05/12.27 tff(9383,plain,
% 12.05/12.27 ($false),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9382, 2863, 9379, 9328])).
% 12.05/12.27 tff(9384,plain,(m_state_v_A1M(c_s, s6, c_extend) | m_state_v_a1ext(c_s, s7, c_retracted) | m_state_v_A1M(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.27 tff(9385,plain,
% 12.05/12.27 (m_state_v_a1ext(c_s, s7, c_retracted)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9384, 8987, 5959])).
% 12.05/12.27 tff(9386,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_a1ip)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_a1ip)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9387,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_a1ip)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9388,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_a1ip)) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 12.05/12.27 tff(9389,plain,
% 12.05/12.27 (~m_state_v_a1ext(c_s, s7, c_a1ip)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9388, 927, 9385])).
% 12.05/12.27 tff(9390,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_a1ip))) <=> ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_a1ip))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9391,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_a1ip))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9392,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_a1ip)),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 12.05/12.27 tff(9393,plain,
% 12.05/12.27 (~node125(c_s, s7)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9392, 1731, 9389])).
% 12.05/12.27 tff(9394,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9395,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9396,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 12.05/12.27 tff(9397,plain,
% 12.05/12.27 (~m_state_v_a1ext(c_s, s7, c_ot)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9396, 966, 9385])).
% 12.05/12.27 tff(9398,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9399,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9400,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 12.05/12.27 tff(9401,plain,
% 12.05/12.27 (~node126(c_s, s7)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9400, 1742, 9397])).
% 12.05/12.27 tff(9402,plain,
% 12.05/12.27 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9403,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9404,plain,
% 12.05/12.27 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 12.05/12.27 tff(9405,plain,
% 12.05/12.27 (~m_state_v_A1Mag(c_s, s5, c_off)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9404, 1054, 5576])).
% 12.05/12.27 tff(9406,plain,
% 12.05/12.27 (~m_state_v_A1M(c_s, s5, c_extend)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[5742, 875, 5727])).
% 12.05/12.27 tff(9407,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9408,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.27 tff(9409,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5))),
% 12.05/12.27 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 12.05/12.27 tff(9410,plain,
% 12.05/12.27 (~node142(c_s, s5)),
% 12.05/12.27 inference(unit_resolution,[status(thm)],[9409, 1016, 9406])).
% 12.05/12.27 tff(9411,plain,
% 12.05/12.27 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))),
% 12.05/12.27 inference(rewrite,[status(thm)],[])).
% 12.05/12.27 tff(9412,plain,
% 12.05/12.27 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))),
% 12.05/12.27 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9413,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 12.05/12.28 tff(9414,plain,
% 12.05/12.28 (~node143(c_s, s5)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9413, 1027, 5399])).
% 12.05/12.28 tff(9415,assumption,(~node145(c_s, s5, s6)), introduced(assumption)).
% 12.05/12.28 tff(9416,plain,
% 12.05/12.28 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9417,plain,
% 12.05/12.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9418,plain,
% 12.05/12.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 12.05/12.28 tff(9419,plain,
% 12.05/12.28 ($false),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9418, 52, 810, 15, 9415])).
% 12.05/12.28 tff(9420,plain,(node145(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.28 tff(9421,plain,
% 12.05/12.28 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9422,plain,
% 12.05/12.28 ((node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))) <=> (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9423,plain,
% 12.05/12.28 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))))),
% 12.05/12.28 inference(monotonicity,[status(thm)],[9422])).
% 12.05/12.28 tff(9424,plain,
% 12.05/12.28 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.05/12.28 inference(transitivity,[status(thm)],[9423, 9421])).
% 12.05/12.28 tff(9425,plain,
% 12.05/12.28 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9426,plain,
% 12.05/12.28 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 12.05/12.28 tff(9427,plain,
% 12.05/12.28 (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9426, 998, 9420])).
% 12.05/12.28 tff(9428,plain,
% 12.05/12.28 (node144(c_s, s5, s6)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9427, 9414, 9410])).
% 12.05/12.28 tff(9429,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9430,plain,
% 12.05/12.28 (((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off))) <=> (m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9431,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off))))),
% 12.05/12.28 inference(monotonicity,[status(thm)],[9430])).
% 12.05/12.28 tff(9432,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off)))),
% 12.05/12.28 inference(transitivity,[status(thm)],[9431, 9429])).
% 12.05/12.28 tff(9433,plain,
% 12.05/12.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9434,plain,
% 12.05/12.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 12.05/12.28 tff(9435,plain,
% 12.05/12.28 (m_state_v_A1Mag(c_s, s5, c_off) | (~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s6, c_off))),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9434, 1068])).
% 12.05/12.28 tff(9436,plain,
% 12.05/12.28 (~m_state_v_A1Mag(c_s, s6, c_off)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9435, 9428, 9405])).
% 12.05/12.28 tff(9437,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9438,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9439,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9438, 9437])).
% 12.05/12.28 tff(9440,plain,
% 12.05/12.28 (~node142(c_s, s6)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9439, 1016, 8987])).
% 12.05/12.28 tff(9441,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9442,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9443,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9442, 9441])).
% 12.05/12.28 tff(9444,plain,
% 12.05/12.28 (~node143(c_s, s6)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9443, 1027, 5406])).
% 12.05/12.28 tff(9445,assumption,(~node145(c_s, s6, s7)), introduced(assumption)).
% 12.05/12.28 tff(9446,plain,
% 12.05/12.28 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9447,plain,
% 12.05/12.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9448,plain,
% 12.05/12.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 12.05/12.28 tff(9449,plain,
% 12.05/12.28 ($false),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9448, 52, 810, 5162, 9445])).
% 12.05/12.28 tff(9450,plain,(node145(c_s, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.28 tff(9451,plain,
% 12.05/12.28 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9452,plain,
% 12.05/12.28 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9453,plain,
% 12.05/12.28 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 12.05/12.28 tff(9454,plain,
% 12.05/12.28 (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9453, 998, 9450])).
% 12.05/12.28 tff(9455,plain,
% 12.05/12.28 (node144(c_s, s6, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9454, 9444, 9440])).
% 12.05/12.28 tff(9456,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9457,plain,
% 12.05/12.28 (((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off))) <=> (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9458,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7))))),
% 12.05/12.28 inference(monotonicity,[status(thm)],[9457])).
% 12.05/12.28 tff(9459,plain,
% 12.05/12.28 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.05/12.28 inference(transitivity,[status(thm)],[9458, 9456])).
% 12.05/12.28 tff(9460,plain,
% 12.05/12.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9461,plain,
% 12.05/12.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 12.05/12.28 tff(9462,plain,
% 12.05/12.28 (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7))),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9461, 1068])).
% 12.05/12.28 tff(9463,plain,
% 12.05/12.28 (~m_state_v_A1Mag(c_s, s7, c_off)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9462, 9455, 9436])).
% 12.05/12.28 tff(9464,plain,
% 12.05/12.28 (^[X: $i, J0: $i] : refl(((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)))),
% 12.05/12.28 inference(bind,[status(th)],[])).
% 12.05/12.28 tff(9465,plain,
% 12.05/12.28 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(quant_intro,[status(thm)],[9464])).
% 12.05/12.28 tff(9466,plain,
% 12.05/12.28 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9467,plain,
% 12.05/12.28 (^[X: $i, J0: $i] : rewrite((m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X))) <=> ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)))),
% 12.05/12.28 inference(bind,[status(th)],[])).
% 12.05/12.28 tff(9468,plain,
% 12.05/12.28 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(quant_intro,[status(thm)],[9467])).
% 12.05/12.28 tff(9469,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_7')).
% 12.05/12.28 tff(9470,plain,
% 12.05/12.28 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 12.05/12.28 tff(9471,plain,
% 12.05/12.28 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9470, 9466])).
% 12.05/12.28 tff(9472,plain,(
% 12.05/12.28 ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(skolemize,[status(sab)],[9471])).
% 12.05/12.28 tff(9473,plain,
% 12.05/12.28 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9472, 9465])).
% 12.05/12.28 tff(9474,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9475,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9476,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 12.05/12.28 tff(9477,plain,
% 12.05/12.28 (~node122(c_s, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9476, 9473, 9463])).
% 12.05/12.28 tff(9478,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node129(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node129(c_s, s7)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9479,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node129(c_s, s7)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9480,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node129(c_s, s7))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9479, 9478])).
% 12.05/12.28 tff(9481,plain,
% 12.05/12.28 (~node129(c_s, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9480, 1573, 5413])).
% 12.05/12.28 tff(9482,plain,
% 12.05/12.28 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))))),
% 12.05/12.28 inference(bind,[status(th)],[])).
% 12.05/12.28 tff(9483,plain,
% 12.05/12.28 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.05/12.28 inference(quant_intro,[status(thm)],[9482])).
% 12.05/12.28 tff(9484,plain,
% 12.05/12.28 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9485,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_36')).
% 12.05/12.28 tff(9486,plain,
% 12.05/12.28 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 12.05/12.28 tff(9487,plain,(
% 12.05/12.28 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.05/12.28 inference(skolemize,[status(sab)],[9486])).
% 12.05/12.28 tff(9488,plain,
% 12.05/12.28 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9487, 9483])).
% 12.05/12.28 tff(9489,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | ((~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9490,plain,
% 12.05/12.28 ((m_state_v_A1Mag(c_s, s7, c_off) | (~node127(c_s, s7))) <=> ((~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9491,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node127(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | ((~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.05/12.28 inference(monotonicity,[status(thm)],[9490])).
% 12.05/12.28 tff(9492,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node127(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.05/12.28 inference(transitivity,[status(thm)],[9491, 9489])).
% 12.05/12.28 tff(9493,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node127(c_s, s7)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9494,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (~node127(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 12.05/12.28 tff(9495,plain,
% 12.05/12.28 (~node127(c_s, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9494, 9488, 9463])).
% 12.05/12.28 tff(9496,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9497,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9498,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 12.05/12.28 tff(9499,plain,
% 12.05/12.28 (~node124(c_s, s7)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9498, 1756, 9397])).
% 12.05/12.28 tff(9500,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node160(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node160(c_s, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9501,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node160(c_s, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9502,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node160(c_s, s6))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9501, 9500])).
% 12.05/12.28 tff(9503,plain,
% 12.05/12.28 (~node160(c_s, s6)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9502, 5770, 6246])).
% 12.05/12.28 tff(9504,assumption,(~node160(c_s, s6)), introduced(assumption)).
% 12.05/12.28 tff(9505,assumption,(~m_state_v_pl(c_s, s7)), introduced(assumption)).
% 12.05/12.28 tff(9506,assumption,(node161(c_s, s6)), introduced(assumption)).
% 12.05/12.28 tff(9507,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node161(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node161(c_s, s6)))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9508,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node161(c_s, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9509,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node161(c_s, s6))),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 12.05/12.28 tff(9510,plain,
% 12.05/12.28 (m_state_v_angle(c_s, s6, c_arm1topress)),
% 12.05/12.28 inference(unit_resolution,[status(thm)],[9509, 2673, 9506])).
% 12.05/12.28 tff(9511,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | ((~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9512,plain,
% 12.05/12.28 ((m_state_v_a1ext(c_s, s6, c_retracted) | (~node161(c_s, s6))) <=> ((~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.28 inference(rewrite,[status(thm)],[])).
% 12.05/12.28 tff(9513,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node161(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | ((~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)))),
% 12.05/12.28 inference(monotonicity,[status(thm)],[9512])).
% 12.05/12.28 tff(9514,plain,
% 12.05/12.28 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node161(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.05/12.28 inference(transitivity,[status(thm)],[9513, 9511])).
% 12.05/12.28 tff(9515,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node161(c_s, s6)))),
% 12.05/12.28 inference(quant_inst,[status(thm)],[])).
% 12.05/12.28 tff(9516,plain,
% 12.05/12.28 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.05/12.28 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 12.05/12.29 tff(9517,plain,
% 12.05/12.29 (m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9516, 9059, 9506])).
% 12.05/12.29 tff(9518,plain,
% 12.05/12.29 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s6, c_retract) | (~node161(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s6, c_retract) | (~node161(c_s, s6)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9519,plain,
% 12.05/12.29 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s6, c_retract) | (~node161(c_s, s6)))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9520,plain,
% 12.05/12.29 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s6, c_retract) | (~node161(c_s, s6))),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 12.05/12.29 tff(9521,plain,
% 12.05/12.29 (m_state_v_A1M(c_s, s6, c_retract)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9520, 5781, 9506])).
% 12.05/12.29 tff(9522,plain,
% 12.05/12.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s6, s7))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9523,plain,
% 12.05/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s6, s7))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9524,plain,
% 12.05/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s6, s7)),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 12.05/12.29 tff(9525,plain,
% 12.05/12.29 (node163(c_s, s6, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9524, 52, 2701, 5162])).
% 12.05/12.29 tff(9526,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9527,plain,
% 12.05/12.29 (((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7))) <=> ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9528,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7))))),
% 12.05/12.29 inference(monotonicity,[status(thm)],[9527])).
% 12.05/12.29 tff(9529,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(transitivity,[status(thm)],[9528, 9526])).
% 12.05/12.29 tff(9530,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9531,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7) | (~node163(c_s, s6, s7))),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 12.05/12.29 tff(9532,plain,
% 12.05/12.29 ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1topress)) | node160(c_s, s6) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | m_state_v_pl(c_s, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9531, 9080, 9525])).
% 12.05/12.29 tff(9533,plain,
% 12.05/12.29 ($false),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9532, 9521, 9517, 9510, 9505, 9504])).
% 12.05/12.29 tff(9534,plain,((~node161(c_s, s6)) | m_state_v_pl(c_s, s7) | node160(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.29 tff(9535,plain,
% 12.05/12.29 (~node161(c_s, s6)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9534, 9505, 9504])).
% 12.05/12.29 tff(9536,assumption,(node162(c_s, s6, s7)), introduced(assumption)).
% 12.05/12.29 tff(9537,assumption,(m_state_v_pl(c_s, s6)), introduced(assumption)).
% 12.05/12.29 tff(9538,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s6)) | (~node162(c_s, s6, s7)) | m_state_v_pl(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s6)) | (~node162(c_s, s6, s7)) | m_state_v_pl(c_s, s7))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9539,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s6)) | (~node162(c_s, s6, s7)) | m_state_v_pl(c_s, s7))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9540,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s6)) | (~node162(c_s, s6, s7)) | m_state_v_pl(c_s, s7)),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 12.05/12.29 tff(9541,plain,
% 12.05/12.29 ($false),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9540, 2758, 9537, 9505, 9536])).
% 12.05/12.29 tff(9542,plain,((~node162(c_s, s6, s7)) | (~m_state_v_pl(c_s, s6)) | m_state_v_pl(c_s, s7)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.29 tff(9543,plain,
% 12.05/12.29 (~node162(c_s, s6, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9542, 9505, 9092])).
% 12.05/12.29 tff(9544,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9545,plain,
% 12.05/12.29 ((node161(c_s, s6) | node160(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7))) <=> (node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9546,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s6) | node160(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7))))),
% 12.05/12.29 inference(monotonicity,[status(thm)],[9545])).
% 12.05/12.29 tff(9547,plain,
% 12.05/12.29 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s6) | node160(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(transitivity,[status(thm)],[9546, 9544])).
% 12.05/12.29 tff(9548,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s6) | node160(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7)))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9549,plain,
% 12.05/12.29 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7) | (~node163(c_s, s6, s7))),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 12.05/12.29 tff(9550,plain,
% 12.05/12.29 (node160(c_s, s6) | node161(c_s, s6) | node162(c_s, s6, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9549, 2715, 9525])).
% 12.05/12.29 tff(9551,plain,
% 12.05/12.29 ($false),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9550, 9543, 9535, 9504])).
% 12.05/12.29 tff(9552,plain,(m_state_v_pl(c_s, s7) | node160(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.05/12.29 tff(9553,plain,
% 12.05/12.29 (m_state_v_pl(c_s, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9552, 9503])).
% 12.05/12.29 tff(9554,plain,
% 12.05/12.29 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node123(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node123(c_s, s7)))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9555,plain,
% 12.05/12.29 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node123(c_s, s7)))),
% 12.05/12.29 inference(quant_inst,[status(thm)],[])).
% 12.05/12.29 tff(9556,plain,
% 12.05/12.29 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node123(c_s, s7))),
% 12.05/12.29 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 12.05/12.29 tff(9557,plain,
% 12.05/12.29 (~node123(c_s, s7)),
% 12.05/12.29 inference(unit_resolution,[status(thm)],[9556, 2773, 9553])).
% 12.05/12.29 tff(9558,plain,
% 12.05/12.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9559,plain,
% 12.05/12.29 (((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.05/12.29 inference(rewrite,[status(thm)],[])).
% 12.05/12.29 tff(9560,plain,
% 12.05/12.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8)))),
% 12.13/12.29 inference(monotonicity,[status(thm)],[9559])).
% 12.13/12.29 tff(9561,plain,
% 12.13/12.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.13/12.29 inference(transitivity,[status(thm)],[9560, 9558])).
% 12.13/12.29 tff(9562,plain,
% 12.13/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.13/12.29 inference(quant_inst,[status(thm)],[])).
% 12.13/12.29 tff(9563,plain,
% 12.13/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8)),
% 12.13/12.29 inference(modus_ponens,[status(thm)],[9562, 9561])).
% 12.13/12.29 tff(9564,plain,
% 12.13/12.29 (node131(c_s, s7, s8)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9563, 52, 1481, 5304])).
% 12.13/12.29 tff(9565,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9566,plain,
% 12.13/12.29 ((node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | node128(c_s, s7) | node129(c_s, s7) | node130(c_s, s7, s8) | (~node131(c_s, s7, s8))) <=> (node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9567,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | node128(c_s, s7) | node129(c_s, s7) | node130(c_s, s7, s8) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8)))),
% 12.13/12.29 inference(monotonicity,[status(thm)],[9566])).
% 12.13/12.29 tff(9568,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | node128(c_s, s7) | node129(c_s, s7) | node130(c_s, s7, s8) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8))),
% 12.13/12.29 inference(transitivity,[status(thm)],[9567, 9565])).
% 12.13/12.29 tff(9569,plain,
% 12.13/12.29 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | node128(c_s, s7) | node129(c_s, s7) | node130(c_s, s7, s8) | (~node131(c_s, s7, s8)))),
% 12.13/12.29 inference(quant_inst,[status(thm)],[])).
% 12.13/12.29 tff(9570,plain,
% 12.13/12.29 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | (~node131(c_s, s7, s8)) | node130(c_s, s7, s8)),
% 12.13/12.29 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 12.13/12.29 tff(9571,plain,
% 12.13/12.29 (node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | node130(c_s, s7, s8)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9570, 1602, 9564])).
% 12.13/12.29 tff(9572,plain,
% 12.13/12.29 (node122(c_s, s7) | node129(c_s, s7) | node127(c_s, s7) | node125(c_s, s7) | node124(c_s, s7) | node128(c_s, s7) | node126(c_s, s7) | node130(c_s, s7, s8)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9571, 9557])).
% 12.13/12.29 tff(9573,plain,
% 12.13/12.29 (node128(c_s, s7) | node130(c_s, s7, s8)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9572, 9499, 9495, 9481, 9477, 9401, 9393])).
% 12.13/12.29 tff(9574,plain,
% 12.13/12.29 (node130(c_s, s7, s8)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9573, 9327])).
% 12.13/12.29 tff(9575,plain,
% 12.13/12.29 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8)))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9576,plain,
% 12.13/12.29 (((~node130(c_s, s7, s8)) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract))) <=> (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8)))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9577,plain,
% 12.13/12.29 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s7, s8)) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8))))),
% 12.13/12.29 inference(monotonicity,[status(thm)],[9576])).
% 12.13/12.29 tff(9578,plain,
% 12.13/12.29 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s7, s8)) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8)))),
% 12.13/12.29 inference(transitivity,[status(thm)],[9577, 9575])).
% 12.13/12.29 tff(9579,plain,
% 12.13/12.29 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s7, s8)) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)))),
% 12.13/12.29 inference(quant_inst,[status(thm)],[])).
% 12.13/12.29 tff(9580,plain,
% 12.13/12.29 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~node130(c_s, s7, s8))),
% 12.13/12.29 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 12.13/12.29 tff(9581,plain,
% 12.13/12.29 (~m_state_v_A1M(c_s, s8, c_retract)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9580, 1619, 9127, 9574])).
% 12.13/12.29 tff(9582,plain,
% 12.13/12.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9583,plain,
% 12.13/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))),
% 12.13/12.29 inference(quant_inst,[status(thm)],[])).
% 12.13/12.29 tff(9584,plain,
% 12.13/12.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9)),
% 12.13/12.29 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 12.13/12.29 tff(9585,plain,
% 12.13/12.29 (node32(c_s, s8, s9)),
% 12.13/12.29 inference(unit_resolution,[status(thm)],[9584, 28, 825, 5508])).
% 12.13/12.29 tff(9586,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9587,plain,
% 12.13/12.29 ((m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9))) <=> (m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9))),
% 12.13/12.29 inference(rewrite,[status(thm)],[])).
% 12.13/12.29 tff(9588,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9)))),
% 12.13/12.29 inference(monotonicity,[status(thm)],[9587])).
% 12.13/12.29 tff(9589,plain,
% 12.13/12.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9))),
% 12.13/12.29 inference(transitivity,[status(thm)],[9588, 9586])).
% 12.13/12.29 tff(9590,plain,
% 12.13/12.29 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))),
% 12.13/12.29 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9591,plain,
% 12.13/12.30 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | (~node32(c_s, s8, s9)) | node31(c_s, s8, s9)),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 12.13/12.30 tff(9592,plain,
% 12.13/12.30 (m_state_v_A1M(c_s, s8, c_retract) | node30(c_s, s8) | node29(c_s, s8) | node31(c_s, s8, s9)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9591, 904, 9585])).
% 12.13/12.30 tff(9593,plain,
% 12.13/12.30 (node31(c_s, s8, s9)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9592, 9581, 9323, 9319])).
% 12.13/12.30 tff(9594,plain,
% 12.13/12.30 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_idle)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9595,plain,
% 12.13/12.30 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_idle)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9596,plain,
% 12.13/12.30 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_idle))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 12.13/12.30 tff(9597,plain,
% 12.13/12.30 (~m_state_v_A1M(c_s, s7, c_extend)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9596, 875, 9123])).
% 12.13/12.30 tff(9598,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9599,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9600,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 12.13/12.30 tff(9601,plain,
% 12.13/12.30 (~node29(c_s, s7)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9600, 887, 9597])).
% 12.13/12.30 tff(9602,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm1topress))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9603,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm1topress))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9604,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm1topress)),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 12.13/12.30 tff(9605,plain,
% 12.13/12.30 (~node30(c_s, s7)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9604, 864, 5413])).
% 12.13/12.30 tff(9606,plain,
% 12.13/12.30 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9607,plain,
% 12.13/12.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9608,plain,
% 12.13/12.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8)),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 12.13/12.30 tff(9609,plain,
% 12.13/12.30 (node32(c_s, s7, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9608, 28, 825, 5304])).
% 12.13/12.30 tff(9610,plain,
% 12.13/12.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9611,plain,
% 12.13/12.30 ((m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node30(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8))) <=> (node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9612,plain,
% 12.13/12.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node30(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8))))),
% 12.13/12.30 inference(monotonicity,[status(thm)],[9611])).
% 12.13/12.30 tff(9613,plain,
% 12.13/12.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node30(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))),
% 12.13/12.30 inference(transitivity,[status(thm)],[9612, 9610])).
% 12.13/12.30 tff(9614,plain,
% 12.13/12.30 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node30(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9615,plain,
% 12.13/12.30 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8) | (~node32(c_s, s7, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 12.13/12.30 tff(9616,plain,
% 12.13/12.30 (node30(c_s, s7) | m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9615, 904, 9609])).
% 12.13/12.30 tff(9617,plain,
% 12.13/12.30 (m_state_v_A1M(c_s, s7, c_retract) | node29(c_s, s7) | node31(c_s, s7, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9616, 9605])).
% 12.13/12.30 tff(9618,plain,
% 12.13/12.30 (node31(c_s, s7, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9617, 9601, 9127])).
% 12.13/12.30 tff(9619,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9620,plain,
% 12.13/12.30 (((~node31(c_s, s7, s8)) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot))) <=> (m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9621,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s7, s8)) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8))))),
% 12.13/12.30 inference(monotonicity,[status(thm)],[9620])).
% 12.13/12.30 tff(9622,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s7, s8)) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8)))),
% 12.13/12.30 inference(transitivity,[status(thm)],[9621, 9619])).
% 12.13/12.30 tff(9623,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s7, s8)) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9624,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~node31(c_s, s7, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 12.13/12.30 tff(9625,plain,
% 12.13/12.30 (~m_state_v_a1ext(c_s, s8, c_ot)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9624, 941, 9397, 9618])).
% 12.13/12.30 tff(9626,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9627,plain,
% 12.13/12.30 (((~node31(c_s, s8, s9)) | m_state_v_a1ext(c_s, s8, c_ot) | (~m_state_v_a1ext(c_s, s9, c_ot))) <=> ((~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9628,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s8, s9)) | m_state_v_a1ext(c_s, s8, c_ot) | (~m_state_v_a1ext(c_s, s9, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9))))),
% 12.13/12.30 inference(monotonicity,[status(thm)],[9627])).
% 12.13/12.30 tff(9629,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s8, s9)) | m_state_v_a1ext(c_s, s8, c_ot) | (~m_state_v_a1ext(c_s, s9, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9)))),
% 12.13/12.30 inference(transitivity,[status(thm)],[9628, 9626])).
% 12.13/12.30 tff(9630,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s8, s9)) | m_state_v_a1ext(c_s, s8, c_ot) | (~m_state_v_a1ext(c_s, s9, c_ot)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9631,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s9, c_ot)) | m_state_v_a1ext(c_s, s8, c_ot) | (~node31(c_s, s8, s9))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 12.13/12.30 tff(9632,plain,
% 12.13/12.30 (~m_state_v_a1ext(c_s, s9, c_ot)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9631, 941, 9625, 9593])).
% 12.13/12.30 tff(9633,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9634,plain,
% 12.13/12.30 (((~node31(c_s, s9, s5)) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot))) <=> (m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9635,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s9, s5)) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5))))),
% 12.13/12.30 inference(monotonicity,[status(thm)],[9634])).
% 12.13/12.30 tff(9636,plain,
% 12.13/12.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s9, s5)) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5)))),
% 12.13/12.30 inference(transitivity,[status(thm)],[9635, 9633])).
% 12.13/12.30 tff(9637,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s9, s5)) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9638,plain,
% 12.13/12.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s9, c_ot) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node31(c_s, s9, s5))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 12.13/12.30 tff(9639,plain,
% 12.13/12.30 (m_state_v_a1ext(c_s, s9, c_ot) | (~node31(c_s, s9, s5))),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9638, 941, 4914])).
% 12.13/12.30 tff(9640,plain,
% 12.13/12.30 (~node31(c_s, s9, s5)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9639, 9632])).
% 12.13/12.30 tff(9641,plain,
% 12.13/12.30 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X))))),
% 12.13/12.30 inference(bind,[status(th)],[])).
% 12.13/12.30 tff(9642,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))),
% 12.13/12.30 inference(quant_intro,[status(thm)],[9641])).
% 12.13/12.30 tff(9643,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9644,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_23')).
% 12.13/12.30 tff(9645,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 12.13/12.30 tff(9646,plain,(
% 12.13/12.30 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))),
% 12.13/12.30 inference(skolemize,[status(sab)],[9645])).
% 12.13/12.30 tff(9647,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9646, 9642])).
% 12.13/12.30 tff(9648,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node124(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node124(c_s, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9649,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node124(c_s, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9650,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node124(c_s, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 12.13/12.30 tff(9651,plain,
% 12.13/12.30 (~node124(c_s, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9650, 9647, 8836])).
% 12.13/12.30 tff(9652,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node125(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node125(c_s, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9653,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node125(c_s, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9654,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node125(c_s, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 12.13/12.30 tff(9655,plain,
% 12.13/12.30 (~node125(c_s, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9654, 1531, 9287])).
% 12.13/12.30 tff(9656,plain,
% 12.13/12.30 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X))))),
% 12.13/12.30 inference(bind,[status(th)],[])).
% 12.13/12.30 tff(9657,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))),
% 12.13/12.30 inference(quant_intro,[status(thm)],[9656])).
% 12.13/12.30 tff(9658,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9659,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_37')).
% 12.13/12.30 tff(9660,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 12.13/12.30 tff(9661,plain,(
% 12.13/12.30 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))),
% 12.13/12.30 inference(skolemize,[status(sab)],[9660])).
% 12.13/12.30 tff(9662,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9661, 9657])).
% 12.13/12.30 tff(9663,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node128(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node128(c_s, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9664,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node128(c_s, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9665,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node128(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node128(c_s, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 12.13/12.30 tff(9666,plain,
% 12.13/12.30 (~node128(c_s, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9665, 9662, 8836])).
% 12.13/12.30 tff(9667,plain,
% 12.13/12.30 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X))))),
% 12.13/12.30 inference(bind,[status(th)],[])).
% 12.13/12.30 tff(9668,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))),
% 12.13/12.30 inference(quant_intro,[status(thm)],[9667])).
% 12.13/12.30 tff(9669,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9670,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_29')).
% 12.13/12.30 tff(9671,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 12.13/12.30 tff(9672,plain,(
% 12.13/12.30 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))),
% 12.13/12.30 inference(skolemize,[status(sab)],[9671])).
% 12.13/12.30 tff(9673,plain,
% 12.13/12.30 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9672, 9668])).
% 12.13/12.30 tff(9674,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node126(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node126(c_s, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9675,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node126(c_s, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9676,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node126(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node126(c_s, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 12.13/12.30 tff(9677,plain,
% 12.13/12.30 (m_state_v_angle(c_s, s8, c_arm1totable) | (~node126(c_s, s8))),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9676, 9673])).
% 12.13/12.30 tff(9678,plain,
% 12.13/12.30 (~node126(c_s, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9677, 8836])).
% 12.13/12.30 tff(9679,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node129(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node129(c_s, s8)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9680,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node129(c_s, s8)))),
% 12.13/12.30 inference(quant_inst,[status(thm)],[])).
% 12.13/12.30 tff(9681,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node129(c_s, s8))),
% 12.13/12.30 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 12.13/12.30 tff(9682,plain,
% 12.13/12.30 (~node129(c_s, s8)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[9681, 1573, 9287])).
% 12.13/12.30 tff(9683,assumption,(~m_state_v_a1ext(c_s, s5, c_retracted)), introduced(assumption)).
% 12.13/12.30 tff(9684,assumption,(~node29(c_s, s3)), introduced(assumption)).
% 12.13/12.30 tff(9685,plain,
% 12.13/12.30 (~m_state_v_angle(c_s, s4, c_arm1totable)),
% 12.13/12.30 inference(unit_resolution,[status(thm)],[5726, 5592])).
% 12.13/12.30 tff(9686,plain,
% 12.13/12.30 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node124(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node124(c_s, s4)))),
% 12.13/12.30 inference(rewrite,[status(thm)],[])).
% 12.13/12.30 tff(9687,plain,
% 12.13/12.30 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node124(c_s, s4)))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9688,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node124(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node124(c_s, s4))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 12.13/12.31 tff(9689,plain,
% 12.13/12.31 (~node124(c_s, s4)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9688, 9647, 9685])).
% 12.13/12.31 tff(9690,plain,
% 12.13/12.31 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node29(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node29(c_s, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9691,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node29(c_s, s4)))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9692,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node29(c_s, s4))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 12.13/12.31 tff(9693,plain,
% 12.13/12.31 (~node29(c_s, s4)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9692, 9311, 9685])).
% 12.13/12.31 tff(9694,assumption,(~node29(c_s, s4)), introduced(assumption)).
% 12.13/12.31 tff(9695,assumption,(~m_state_v_angle(c_s, s4, c_arm1topress)), introduced(assumption)).
% 12.13/12.31 tff(9696,plain,
% 12.13/12.31 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s4)) | m_state_v_angle(c_s, s4, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s4)) | m_state_v_angle(c_s, s4, c_arm1topress))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9697,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s4)) | m_state_v_angle(c_s, s4, c_arm1topress))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9698,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s4)) | m_state_v_angle(c_s, s4, c_arm1topress)),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 12.13/12.31 tff(9699,plain,
% 12.13/12.31 (~node30(c_s, s4)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9698, 864, 9695])).
% 12.13/12.31 tff(9700,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9701,plain,
% 12.13/12.31 ((m_state_v_A1M(c_s, s4, c_retract) | node29(c_s, s4) | node30(c_s, s4) | node31(c_s, s4, s5) | (~node32(c_s, s4, s5))) <=> (node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9702,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s4, c_retract) | node29(c_s, s4) | node30(c_s, s4) | node31(c_s, s4, s5) | (~node32(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5)))),
% 12.13/12.31 inference(monotonicity,[status(thm)],[9701])).
% 12.13/12.31 tff(9703,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s4, c_retract) | node29(c_s, s4) | node30(c_s, s4) | node31(c_s, s4, s5) | (~node32(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5))),
% 12.13/12.31 inference(transitivity,[status(thm)],[9702, 9700])).
% 12.13/12.31 tff(9704,plain,
% 12.13/12.31 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s4, c_retract) | node29(c_s, s4) | node30(c_s, s4) | node31(c_s, s4, s5) | (~node32(c_s, s4, s5)))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9705,plain,
% 12.13/12.31 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | (~node32(c_s, s4, s5)) | node31(c_s, s4, s5)),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9704, 9703])).
% 12.13/12.31 tff(9706,plain,
% 12.13/12.31 (node30(c_s, s4) | node29(c_s, s4) | m_state_v_A1M(c_s, s4, c_retract) | node31(c_s, s4, s5)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9705, 904, 4895])).
% 12.13/12.31 tff(9707,plain,
% 12.13/12.31 (node30(c_s, s4) | node29(c_s, s4) | node31(c_s, s4, s5)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9706, 3667])).
% 12.13/12.31 tff(9708,plain,
% 12.13/12.31 (node31(c_s, s4, s5)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9707, 9699, 9694])).
% 12.13/12.31 tff(9709,assumption,(node41(c_s, s3, s4)), introduced(assumption)).
% 12.13/12.31 tff(9710,assumption,(m_state_v_angle(c_s, s3, c_arm1topress)), introduced(assumption)).
% 12.13/12.31 tff(9711,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9712,plain,
% 12.13/12.31 (((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress)) <=> (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9713,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4))))),
% 12.13/12.31 inference(monotonicity,[status(thm)],[9712])).
% 12.13/12.31 tff(9714,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.13/12.31 inference(transitivity,[status(thm)],[9713, 9711])).
% 12.13/12.31 tff(9715,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9716,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | (~node41(c_s, s3, s4))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9715, 9714])).
% 12.13/12.31 tff(9717,plain,
% 12.13/12.31 ($false),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9716, 1443, 9695, 9710, 9709])).
% 12.13/12.31 tff(9718,plain,((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 12.13/12.31 tff(9719,plain,
% 12.13/12.31 ((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9718, 4726])).
% 12.13/12.31 tff(9720,plain,
% 12.13/12.31 (~m_state_v_angle(c_s, s3, c_arm1topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9719, 9695])).
% 12.13/12.31 tff(9721,plain,
% 12.13/12.31 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s3)) | m_state_v_angle(c_s, s3, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s3)) | m_state_v_angle(c_s, s3, c_arm1topress))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9722,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s3)) | m_state_v_angle(c_s, s3, c_arm1topress))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9723,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s3)) | m_state_v_angle(c_s, s3, c_arm1topress)),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 12.13/12.31 tff(9724,plain,
% 12.13/12.31 (~node30(c_s, s3)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9723, 864, 9720])).
% 12.13/12.31 tff(9725,assumption,(~m_state_v_a1ext(c_s, s4, c_retracted)), introduced(assumption)).
% 12.13/12.31 tff(9726,assumption,(node31(c_s, s3, s4)), introduced(assumption)).
% 12.13/12.31 tff(9727,assumption,(~m_state_v_a1ext(c_s, s3, c_retracted)), introduced(assumption)).
% 12.13/12.31 tff(9728,assumption,(m_state_v_angle(c_s, s2, c_arm2topress)), introduced(assumption)).
% 12.13/12.31 tff(9729,plain,
% 12.13/12.31 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[4569, 4563, 9728])).
% 12.13/12.31 tff(9730,plain,
% 12.13/12.31 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9731,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9732,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress)),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 12.13/12.31 tff(9733,plain,
% 12.13/12.31 ((~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9732, 864])).
% 12.13/12.31 tff(9734,plain,
% 12.13/12.31 (~node30(c_s, s2)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9733, 9729])).
% 12.13/12.31 tff(9735,assumption,(node31(c_s, s2, s3)), introduced(assumption)).
% 12.13/12.31 tff(9736,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9737,plain,
% 12.13/12.31 (((~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | m_state_v_a1ext(c_s, s3, c_retracted)) <=> (m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9738,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | m_state_v_a1ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted))))),
% 12.13/12.31 inference(monotonicity,[status(thm)],[9737])).
% 12.13/12.31 tff(9739,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | m_state_v_a1ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))),
% 12.13/12.31 inference(transitivity,[status(thm)],[9738, 9736])).
% 12.13/12.31 tff(9740,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | m_state_v_a1ext(c_s, s3, c_retracted))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9741,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s3, c_retracted) | (~node31(c_s, s2, s3)) | (~m_state_v_a1ext(c_s, s2, c_retracted))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9740, 9739])).
% 12.13/12.31 tff(9742,plain,
% 12.13/12.31 ($false),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9741, 2334, 9727, 9735, 2348])).
% 12.13/12.31 tff(9743,plain,((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.31 tff(9744,plain,
% 12.13/12.31 (~node31(c_s, s2, s3)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9743, 9727])).
% 12.13/12.31 tff(9745,plain,
% 12.13/12.31 (~m_state_v_angle(c_s, s2, c_arm1totable)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[4576, 72, 9728])).
% 12.13/12.31 tff(9746,plain,
% 12.13/12.31 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node29(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node29(c_s, s2)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9747,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1totable) | (~node29(c_s, s2)))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9748,plain,
% 12.13/12.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node29(c_s, s2))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 12.13/12.31 tff(9749,plain,
% 12.13/12.31 (~node29(c_s, s2)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9748, 9311, 9745])).
% 12.13/12.31 tff(9750,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9751,plain,
% 12.13/12.31 (((~m_state_v_A1M(c_s, s2, c_retract)) | node29(c_s, s2) | node30(c_s, s2) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_retracted)) <=> (node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9752,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s2, c_retract)) | node29(c_s, s2) | node30(c_s, s2) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3))))),
% 12.13/12.31 inference(monotonicity,[status(thm)],[9751])).
% 12.13/12.31 tff(9753,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s2, c_retract)) | node29(c_s, s2) | node30(c_s, s2) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3)))),
% 12.13/12.31 inference(transitivity,[status(thm)],[9752, 9750])).
% 12.13/12.31 tff(9754,plain,
% 12.13/12.31 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s2, c_retract)) | node29(c_s, s2) | node30(c_s, s2) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_retracted))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9755,plain,
% 12.13/12.31 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node32(c_s, s2, s3))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9754, 9753])).
% 12.13/12.31 tff(9756,plain,
% 12.13/12.31 (node30(c_s, s2) | node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted) | (~m_state_v_A1M(c_s, s2, c_retract))),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9755, 9365, 2880])).
% 12.13/12.31 tff(9757,plain,
% 12.13/12.31 (~m_state_v_A1M(c_s, s2, c_retract)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9756, 9749, 9727, 9734])).
% 12.13/12.31 tff(9758,plain,
% 12.13/12.31 ($false),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[2887, 9757, 9749, 9744, 9734])).
% 12.13/12.31 tff(9759,plain,((~m_state_v_angle(c_s, s2, c_arm2topress)) | m_state_v_a1ext(c_s, s3, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.31 tff(9760,plain,
% 12.13/12.31 (~m_state_v_angle(c_s, s2, c_arm2topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9759, 9727])).
% 12.13/12.31 tff(9761,plain,
% 12.13/12.31 (~m_state_v_RRM(c_s, s1, c_counterclock)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[3817, 9760])).
% 12.13/12.31 tff(9762,plain,
% 12.13/12.31 (~node37(c_s, s1)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[1404, 9761])).
% 12.13/12.31 tff(9763,plain,
% 12.13/12.31 (node41(c_s, s1, s2)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[1432, 9762])).
% 12.13/12.31 tff(9764,plain,
% 12.13/12.31 (m_state_v_angle(c_s, s2, c_arm1totable)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[1457, 9763])).
% 12.13/12.31 tff(9765,plain,
% 12.13/12.31 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[4342, 298, 9764])).
% 12.13/12.31 tff(9766,plain,
% 12.13/12.31 (~node30(c_s, s2)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9733, 9765])).
% 12.13/12.31 tff(9767,assumption,(~node29(c_s, s2)), introduced(assumption)).
% 12.13/12.31 tff(9768,plain,
% 12.13/12.31 (~m_state_v_A1M(c_s, s2, c_retract)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9756, 9767, 9727, 9766])).
% 12.13/12.31 tff(9769,plain,
% 12.13/12.31 ($false),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[2887, 9768, 9767, 9744, 9766])).
% 12.13/12.31 tff(9770,plain,(node29(c_s, s2) | m_state_v_a1ext(c_s, s3, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.31 tff(9771,plain,
% 12.13/12.31 (m_state_v_a1ext(c_s, s3, c_retracted)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9770, 2874])).
% 12.13/12.31 tff(9772,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9773,plain,
% 12.13/12.31 (((~node31(c_s, s3, s4)) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | m_state_v_a1ext(c_s, s4, c_retracted)) <=> (m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9774,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s3, s4)) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4))))),
% 12.13/12.31 inference(monotonicity,[status(thm)],[9773])).
% 12.13/12.31 tff(9775,plain,
% 12.13/12.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s3, s4)) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4)))),
% 12.13/12.31 inference(transitivity,[status(thm)],[9774, 9772])).
% 12.13/12.31 tff(9776,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s3, s4)) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.13/12.31 inference(quant_inst,[status(thm)],[])).
% 12.13/12.31 tff(9777,plain,
% 12.13/12.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s4, c_retracted) | (~m_state_v_a1ext(c_s, s3, c_retracted)) | (~node31(c_s, s3, s4))),
% 12.13/12.31 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 12.13/12.31 tff(9778,plain,
% 12.13/12.31 ($false),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9777, 2334, 9725, 9771, 9726])).
% 12.13/12.31 tff(9779,plain,((~node31(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.31 tff(9780,plain,
% 12.13/12.31 (~node31(c_s, s3, s4)),
% 12.13/12.31 inference(unit_resolution,[status(thm)],[9779, 9725])).
% 12.13/12.31 tff(9781,assumption,(~node30(c_s, s3)), introduced(assumption)).
% 12.13/12.31 tff(9782,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9783,plain,
% 12.13/12.31 (((~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | node30(c_s, s3) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)) <=> (m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.31 inference(rewrite,[status(thm)],[])).
% 12.13/12.31 tff(9784,plain,
% 12.13/12.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | node30(c_s, s3) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4))))),
% 12.13/12.32 inference(monotonicity,[status(thm)],[9783])).
% 12.13/12.32 tff(9785,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | node30(c_s, s3) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.32 inference(transitivity,[status(thm)],[9784, 9782])).
% 12.13/12.32 tff(9786,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | node30(c_s, s3) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.13/12.32 inference(quant_inst,[status(thm)],[])).
% 12.13/12.32 tff(9787,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3) | (~node32(c_s, s3, s4))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9786, 9785])).
% 12.13/12.32 tff(9788,plain,
% 12.13/12.32 (m_state_v_a1ext(c_s, s4, c_retracted) | node30(c_s, s3) | (~m_state_v_A1M(c_s, s3, c_retract)) | node29(c_s, s3)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9787, 9365, 5544])).
% 12.13/12.32 tff(9789,plain,
% 12.13/12.32 (~m_state_v_A1M(c_s, s3, c_retract)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9788, 9781, 9684, 9725])).
% 12.13/12.32 tff(9790,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9791,plain,
% 12.13/12.32 ((m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | node30(c_s, s3) | node31(c_s, s3, s4) | (~node32(c_s, s3, s4))) <=> (node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9792,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | node30(c_s, s3) | node31(c_s, s3, s4) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4)))),
% 12.13/12.32 inference(monotonicity,[status(thm)],[9791])).
% 12.13/12.32 tff(9793,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | node30(c_s, s3) | node31(c_s, s3, s4) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4))),
% 12.13/12.32 inference(transitivity,[status(thm)],[9792, 9790])).
% 12.13/12.32 tff(9794,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | node30(c_s, s3) | node31(c_s, s3, s4) | (~node32(c_s, s3, s4)))),
% 12.13/12.32 inference(quant_inst,[status(thm)],[])).
% 12.13/12.32 tff(9795,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | (~node32(c_s, s3, s4)) | node31(c_s, s3, s4)),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 12.13/12.32 tff(9796,plain,
% 12.13/12.32 (node30(c_s, s3) | m_state_v_A1M(c_s, s3, c_retract) | node29(c_s, s3) | node31(c_s, s3, s4)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9795, 904, 5544])).
% 12.13/12.32 tff(9797,plain,
% 12.13/12.32 ($false),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9796, 9789, 9781, 9684, 9780])).
% 12.13/12.32 tff(9798,plain,(node30(c_s, s3) | node29(c_s, s3) | m_state_v_a1ext(c_s, s4, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.32 tff(9799,plain,
% 12.13/12.32 (m_state_v_a1ext(c_s, s4, c_retracted)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9798, 9724, 9684])).
% 12.13/12.32 tff(9800,plain,
% 12.13/12.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9801,plain,
% 12.13/12.32 (((~node31(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | m_state_v_a1ext(c_s, s5, c_retracted)) <=> (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9802,plain,
% 12.13/12.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | m_state_v_a1ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5))))),
% 12.13/12.32 inference(monotonicity,[status(thm)],[9801])).
% 12.13/12.32 tff(9803,plain,
% 12.13/12.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | m_state_v_a1ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5)))),
% 12.13/12.32 inference(transitivity,[status(thm)],[9802, 9800])).
% 12.13/12.32 tff(9804,plain,
% 12.13/12.32 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | m_state_v_a1ext(c_s, s5, c_retracted))),
% 12.13/12.32 inference(quant_inst,[status(thm)],[])).
% 12.13/12.32 tff(9805,plain,
% 12.13/12.32 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s4, c_retracted)) | (~node31(c_s, s4, s5))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 12.13/12.32 tff(9806,plain,
% 12.13/12.32 ($false),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9805, 2334, 9683, 9799, 9708])).
% 12.13/12.32 tff(9807,plain,(m_state_v_angle(c_s, s4, c_arm1topress) | m_state_v_a1ext(c_s, s5, c_retracted) | node29(c_s, s3) | node29(c_s, s4)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.32 tff(9808,plain,
% 12.13/12.32 (m_state_v_angle(c_s, s4, c_arm1topress)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9807, 9684, 9683, 9693])).
% 12.13/12.32 tff(9809,plain,
% 12.13/12.32 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y))))),
% 12.13/12.32 inference(bind,[status(th)],[])).
% 12.13/12.32 tff(9810,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(quant_intro,[status(thm)],[9809])).
% 12.13/12.32 tff(9811,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9812,plain,
% 12.13/12.32 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) <=> (((~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))))), rewrite((((~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_a1ext(J0, X, c_a1ip))))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X)) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | (~m_state_v_a1ext(J0, X, c_a1ip)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | (~m_state_v_a1ext(J0, X, c_a1ip))))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip))))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip))) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip))) | (~node131(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))))),
% 12.13/12.32 inference(bind,[status(th)],[])).
% 12.13/12.32 tff(9813,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(quant_intro,[status(thm)],[9812])).
% 12.13/12.32 tff(9814,axiom,(![Y: $i, X: $i, J0: $i] : (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_48')).
% 12.13/12.32 tff(9815,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 12.13/12.32 tff(9816,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9815, 9811])).
% 12.13/12.32 tff(9817,plain,(
% 12.13/12.32 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(skolemize,[status(sab)],[9816])).
% 12.13/12.32 tff(9818,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9817, 9810])).
% 12.13/12.32 tff(9819,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9820,plain,
% 12.13/12.32 (((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node122(c_s, s4) | node123(c_s, s4) | node124(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~node131(c_s, s4, s5))) <=> ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9821,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node122(c_s, s4) | node123(c_s, s4) | node124(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4)))),
% 12.13/12.32 inference(monotonicity,[status(thm)],[9820])).
% 12.13/12.32 tff(9822,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node122(c_s, s4) | node123(c_s, s4) | node124(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4))),
% 12.13/12.32 inference(transitivity,[status(thm)],[9821, 9819])).
% 12.13/12.32 tff(9823,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node122(c_s, s4) | node123(c_s, s4) | node124(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~node131(c_s, s4, s5)))),
% 12.13/12.32 inference(quant_inst,[status(thm)],[])).
% 12.13/12.32 tff(9824,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_a1ip)) | (~node131(J0, X, Y)))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node131(c_s, s4, s5)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4)),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 12.13/12.32 tff(9825,plain,
% 12.13/12.32 ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | m_state_v_A1M(c_s, s5, c_idle) | node123(c_s, s4) | node122(c_s, s4) | node124(c_s, s4)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9824, 9818, 5704])).
% 12.13/12.32 tff(9826,plain,
% 12.13/12.32 ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | m_state_v_A1M(c_s, s5, c_idle) | node122(c_s, s4) | node124(c_s, s4)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9825, 5695])).
% 12.13/12.32 tff(9827,plain,
% 12.13/12.32 ((~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | m_state_v_A1M(c_s, s5, c_idle) | node124(c_s, s4)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9826, 5596, 4891])).
% 12.13/12.32 tff(9828,plain,
% 12.13/12.32 (~m_state_v_a1ext(c_s, s4, c_a1ip)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9827, 9808, 9689, 5592])).
% 12.13/12.32 tff(9829,plain,
% 12.13/12.32 (^[Y: $i, X: $i, J0: $i] : refl((node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))))),
% 12.13/12.32 inference(bind,[status(th)],[])).
% 12.13/12.32 tff(9830,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(quant_intro,[status(thm)],[9829])).
% 12.13/12.32 tff(9831,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9832,plain,
% 12.13/12.32 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) <=> (node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)))), (((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))))), rewrite(((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> (node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)))), (((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> (node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress))))), ((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) <=> ((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)))), rewrite(((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) <=> (node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))), ((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) <=> (node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))))), (((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) | (~node32(J0, X, Y))) <=> ((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~node32(J0, X, Y))))), rewrite(((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~node32(J0, X, Y))) <=> (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))), (((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) | (~node32(J0, X, Y))) <=> (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))))),
% 12.13/12.32 inference(bind,[status(th)],[])).
% 12.13/12.32 tff(9833,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(quant_intro,[status(thm)],[9832])).
% 12.13/12.32 tff(9834,axiom,(![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_angle(J0, X, c_arm1topress))) | m_state_v_a1ext(J0, Y, c_a1ip)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_43')).
% 12.13/12.32 tff(9835,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 12.13/12.32 tff(9836,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9835, 9831])).
% 12.13/12.32 tff(9837,plain,(
% 12.13/12.32 ![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(skolemize,[status(sab)],[9836])).
% 12.13/12.32 tff(9838,plain,
% 12.13/12.32 (![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9837, 9830])).
% 12.13/12.32 tff(9839,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9840,plain,
% 12.13/12.32 ((node29(c_s, s3) | (~node32(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_a1ip) | (~m_state_v_angle(c_s, s3, c_arm1topress))) <=> ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.32 inference(rewrite,[status(thm)],[])).
% 12.13/12.32 tff(9841,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (node29(c_s, s3) | (~node32(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_a1ip) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4))))),
% 12.13/12.32 inference(monotonicity,[status(thm)],[9840])).
% 12.13/12.32 tff(9842,plain,
% 12.13/12.32 (((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (node29(c_s, s3) | (~node32(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_a1ip) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4)))),
% 12.13/12.32 inference(transitivity,[status(thm)],[9841, 9839])).
% 12.13/12.32 tff(9843,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (node29(c_s, s3) | (~node32(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_a1ip) | (~m_state_v_angle(c_s, s3, c_arm1topress)))),
% 12.13/12.32 inference(quant_inst,[status(thm)],[])).
% 12.13/12.32 tff(9844,plain,
% 12.13/12.32 ((~![Y: $i, X: $i, J0: $i] : (node29(J0, X) | (~node32(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_extend)) | m_state_v_a1ext(J0, Y, c_a1ip) | (~m_state_v_angle(J0, X, c_arm1topress)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3) | (~node32(c_s, s3, s4))),
% 12.13/12.32 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 12.13/12.32 tff(9845,plain,
% 12.13/12.32 ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9844, 9838, 5544])).
% 12.13/12.32 tff(9846,plain,
% 12.13/12.32 ((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_a1ext(c_s, s4, c_a1ip) | node29(c_s, s3)),
% 12.13/12.32 inference(unit_resolution,[status(thm)],[9845, 2568])).
% 12.13/12.32 tff(9847,plain,
% 12.13/12.32 (~m_state_v_angle(c_s, s3, c_arm1topress)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9846, 9828, 9684])).
% 12.13/12.33 tff(9848,plain,
% 12.13/12.33 ($false),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5391, 340, 9808, 9847, 4726])).
% 12.13/12.33 tff(9849,plain,(node29(c_s, s3) | m_state_v_A1M(c_s, s5, c_idle) | m_state_v_a1ext(c_s, s5, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.33 tff(9850,plain,
% 12.13/12.33 (node29(c_s, s3)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9849, 5592, 9683])).
% 12.13/12.33 tff(9851,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~node29(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node29(c_s, s3)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9852,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~node29(c_s, s3)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9853,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node29(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~node29(c_s, s3))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 12.13/12.33 tff(9854,plain,
% 12.13/12.33 (m_state_v_angle(c_s, s3, c_arm1totable)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9853, 9311, 9850])).
% 12.13/12.33 tff(9855,plain,
% 12.13/12.33 ($false),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[4769, 1443, 9685, 9854, 4726])).
% 12.13/12.33 tff(9856,plain,(m_state_v_A1M(c_s, s5, c_idle) | m_state_v_a1ext(c_s, s5, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.33 tff(9857,plain,
% 12.13/12.33 (m_state_v_A1M(c_s, s5, c_idle)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9856, 9683])).
% 12.13/12.33 tff(9858,plain,
% 12.13/12.33 (~m_state_v_A1M(c_s, s5, c_extend)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5742, 875, 9857])).
% 12.13/12.33 tff(9859,plain,
% 12.13/12.33 (~node142(c_s, s5)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9409, 1016, 9858])).
% 12.13/12.33 tff(9860,plain,
% 12.13/12.33 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9861,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9860])).
% 12.13/12.33 tff(9862,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9863,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_111')).
% 12.13/12.33 tff(9864,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 12.13/12.33 tff(9865,plain,(
% 12.13/12.33 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 12.13/12.33 inference(skolemize,[status(sab)],[9864])).
% 12.13/12.33 tff(9866,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9865, 9861])).
% 12.13/12.33 tff(9867,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node143(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node143(c_s, s5)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9868,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node143(c_s, s5)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9869,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node143(c_s, s5))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 12.13/12.33 tff(9870,plain,
% 12.13/12.33 (~node143(c_s, s5)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9869, 9866, 9858])).
% 12.13/12.33 tff(9871,plain,
% 12.13/12.33 (node144(c_s, s5, s6)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9427, 9870, 9859])).
% 12.13/12.33 tff(9872,assumption,(node132(c_s, s6)), introduced(assumption)).
% 12.13/12.33 tff(9873,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | ((~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9874,plain,
% 12.13/12.33 ((m_state_v_A1Mag(c_s, s6, c_on) | (~node132(c_s, s6))) <=> ((~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9875,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s6, c_on) | (~node132(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | ((~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on)))),
% 12.13/12.33 inference(monotonicity,[status(thm)],[9874])).
% 12.13/12.33 tff(9876,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s6, c_on) | (~node132(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on))),
% 12.13/12.33 inference(transitivity,[status(thm)],[9875, 9873])).
% 12.13/12.33 tff(9877,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s6, c_on) | (~node132(c_s, s6)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9878,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (~node132(c_s, s6)) | m_state_v_A1Mag(c_s, s6, c_on)),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 12.13/12.33 tff(9879,plain,
% 12.13/12.33 (m_state_v_A1Mag(c_s, s6, c_on)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9878, 1090, 9872])).
% 12.13/12.33 tff(9880,plain,
% 12.13/12.33 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s6, c_off)) | (~m_state_v_A1Mag(c_s, s6, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~m_state_v_A1Mag(c_s, s6, c_on)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9881,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s6, c_off)) | (~m_state_v_A1Mag(c_s, s6, c_on)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9882,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~m_state_v_A1Mag(c_s, s6, c_on))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 12.13/12.33 tff(9883,plain,
% 12.13/12.33 (~m_state_v_A1Mag(c_s, s6, c_off)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9882, 1054, 9879])).
% 12.13/12.33 tff(9884,assumption,(~m_state_v_A1Mag(c_s, s6, c_off)), introduced(assumption)).
% 12.13/12.33 tff(9885,assumption,(node144(c_s, s5, s6)), introduced(assumption)).
% 12.13/12.33 tff(9886,assumption,(m_state_v_A1Mag(c_s, s5, c_off)), introduced(assumption)).
% 12.13/12.33 tff(9887,plain,
% 12.13/12.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9888,plain,
% 12.13/12.33 (((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_off)) | m_state_v_A1Mag(c_s, s6, c_off)) <=> ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9889,plain,
% 12.13/12.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_off)) | m_state_v_A1Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off))))),
% 12.13/12.33 inference(monotonicity,[status(thm)],[9888])).
% 12.13/12.33 tff(9890,plain,
% 12.13/12.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_off)) | m_state_v_A1Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off)))),
% 12.13/12.33 inference(transitivity,[status(thm)],[9889, 9887])).
% 12.13/12.33 tff(9891,plain,
% 12.13/12.33 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_off)) | m_state_v_A1Mag(c_s, s6, c_off))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9892,plain,
% 12.13/12.33 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s5, c_off))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 12.13/12.33 tff(9893,plain,
% 12.13/12.33 ($false),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9892, 2358, 9886, 9885, 9884])).
% 12.13/12.33 tff(9894,plain,((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_off)) | m_state_v_A1Mag(c_s, s6, c_off)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.33 tff(9895,plain,
% 12.13/12.33 (~m_state_v_A1Mag(c_s, s5, c_off)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9894, 9883, 9871])).
% 12.13/12.33 tff(9896,plain,
% 12.13/12.33 (~node122(c_s, s5)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5737, 5734, 9683])).
% 12.13/12.33 tff(9897,plain,
% 12.13/12.33 (^[I0: $i, X: $i] : refl((m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on)) <=> (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on)))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9898,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on)) <=> ![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9897])).
% 12.13/12.33 tff(9899,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on)) <=> ![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9900,plain,
% 12.13/12.33 (^[I0: $i, X: $i] : rewrite((m_state_v_A1Mag(I0, X, c_on) | m_state_v_A1Mag(I0, X, c_off)) <=> (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on)))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9901,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_on) | m_state_v_A1Mag(I0, X, c_off)) <=> ![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9900])).
% 12.13/12.33 tff(9902,axiom,(![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_on) | m_state_v_A1Mag(I0, X, c_off))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_5')).
% 12.13/12.33 tff(9903,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 12.13/12.33 tff(9904,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9903, 9899])).
% 12.13/12.33 tff(9905,plain,(
% 12.13/12.33 ![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(skolemize,[status(sab)],[9904])).
% 12.13/12.33 tff(9906,plain,
% 12.13/12.33 (![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9905, 9898])).
% 12.13/12.33 tff(9907,plain,
% 12.13/12.33 (((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_A1Mag(c_s, s5, c_on))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_A1Mag(c_s, s5, c_on))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9908,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_A1Mag(c_s, s5, c_on))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9909,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_A1Mag(c_s, s5, c_on)),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9908, 9907])).
% 12.13/12.33 tff(9910,plain,
% 12.13/12.33 (m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_A1Mag(c_s, s5, c_on)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9909, 9906])).
% 12.13/12.33 tff(9911,plain,
% 12.13/12.33 (m_state_v_A1Mag(c_s, s5, c_on)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9910, 9895])).
% 12.13/12.33 tff(9912,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node132(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node132(c_s, s6)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9913,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node132(c_s, s6)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9914,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node132(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node132(c_s, s6))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 12.13/12.33 tff(9915,plain,
% 12.13/12.33 (m_state_v_A1M(c_s, s6, c_idle)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9914, 4032, 9872])).
% 12.13/12.33 tff(9916,plain,
% 12.13/12.33 (~m_state_v_A1M(c_s, s6, c_retract)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5958, 9915])).
% 12.13/12.33 tff(9917,plain,
% 12.13/12.33 (~m_state_v_angle(c_s, s4, c_arm1totable)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5953, 9916, 9857, 9911, 9896])).
% 12.13/12.33 tff(9918,assumption,(~m_state_v_angle(c_s, s4, c_arm1totable)), introduced(assumption)).
% 12.13/12.33 tff(9919,plain,
% 12.13/12.33 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X))))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9920,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9919])).
% 12.13/12.33 tff(9921,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9922,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_107')).
% 12.13/12.33 tff(9923,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 12.13/12.33 tff(9924,plain,(
% 12.13/12.33 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))),
% 12.13/12.33 inference(skolemize,[status(sab)],[9923])).
% 12.13/12.33 tff(9925,plain,
% 12.13/12.33 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9924, 9920])).
% 12.13/12.33 tff(9926,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node142(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node142(c_s, s4)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9927,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | (m_state_v_angle(c_s, s4, c_arm1totable) | (~node142(c_s, s4)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9928,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node142(c_s, s4))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 12.13/12.33 tff(9929,plain,
% 12.13/12.33 (~node142(c_s, s4)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9928, 9925, 9918])).
% 12.13/12.33 tff(9930,assumption,(~m_state_v_A1Mag(c_s, s5, c_off)), introduced(assumption)).
% 12.13/12.33 tff(9931,plain,
% 12.13/12.33 (~node29(c_s, s4)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9692, 9311, 9918])).
% 12.13/12.33 tff(9932,plain,
% 12.13/12.33 (m_state_v_angle(c_s, s4, c_arm1topress)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9807, 9931, 9683, 9684])).
% 12.13/12.33 tff(9933,plain,
% 12.13/12.33 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off)) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off)))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9934,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9933])).
% 12.13/12.33 tff(9935,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9936,plain,
% 12.13/12.33 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) <=> ((~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X))), (((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) <=> (((~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))))), rewrite((((~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X))), (((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X)))), ((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X)) | (~m_state_v_a1ext(J0, X, c_a1ip))))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node142(J0, X)) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X))), ((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X)))), (((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X)) | m_state_v_A1Mag(J0, Y, c_off)))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X)) | m_state_v_A1Mag(J0, Y, c_off)) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | m_state_v_A1Mag(J0, Y, c_off))), (((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | m_state_v_A1Mag(J0, Y, c_off)))), ((((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))), ((((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))))),
% 12.13/12.33 inference(bind,[status(th)],[])).
% 12.13/12.33 tff(9937,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : (((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(quant_intro,[status(thm)],[9936])).
% 12.13/12.33 tff(9938,axiom,(![Y: $i, X: $i, J0: $i] : (((((node142(J0, X) | (~m_state_v_angle(J0, X, c_arm1topress))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_a1ip))) | m_state_v_A1Mag(J0, Y, c_off)) | (~node145(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_116')).
% 12.13/12.33 tff(9939,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 12.13/12.33 tff(9940,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9939, 9935])).
% 12.13/12.33 tff(9941,plain,(
% 12.13/12.33 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(skolemize,[status(sab)],[9940])).
% 12.13/12.33 tff(9942,plain,
% 12.13/12.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9941, 9934])).
% 12.13/12.33 tff(9943,plain,
% 12.13/12.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9944,plain,
% 12.13/12.33 (((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | node142(c_s, s4) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_off)) <=> ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9945,plain,
% 12.13/12.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | node142(c_s, s4) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_off))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5))))),
% 12.13/12.33 inference(monotonicity,[status(thm)],[9944])).
% 12.13/12.33 tff(9946,plain,
% 12.13/12.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | node142(c_s, s4) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_off))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5)))),
% 12.13/12.33 inference(transitivity,[status(thm)],[9945, 9943])).
% 12.13/12.33 tff(9947,plain,
% 12.13/12.33 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | node142(c_s, s4) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_off))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9948,plain,
% 12.13/12.33 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1topress)) | (~m_state_v_a1ext(J0, X, c_a1ip)) | node142(J0, X) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_off))) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off) | (~node145(c_s, s4, s5))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9947, 9946])).
% 12.13/12.33 tff(9949,plain,
% 12.13/12.33 ((~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9948, 9942, 5557])).
% 12.13/12.33 tff(9950,plain,
% 12.13/12.33 ((~m_state_v_a1ext(c_s, s4, c_a1ip)) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | node142(c_s, s4) | m_state_v_A1Mag(c_s, s5, c_off)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9949, 4891])).
% 12.13/12.33 tff(9951,plain,
% 12.13/12.33 (~m_state_v_a1ext(c_s, s4, c_a1ip)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9950, 9932, 9930, 9929])).
% 12.13/12.33 tff(9952,plain,
% 12.13/12.33 (~m_state_v_angle(c_s, s3, c_arm1topress)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9846, 9951, 9684])).
% 12.13/12.33 tff(9953,plain,
% 12.13/12.33 ($false),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[5391, 340, 9932, 9952, 4726])).
% 12.13/12.33 tff(9954,plain,(m_state_v_angle(c_s, s4, c_arm1totable) | node29(c_s, s3) | m_state_v_A1Mag(c_s, s5, c_off) | m_state_v_a1ext(c_s, s5, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.33 tff(9955,plain,
% 12.13/12.33 (node29(c_s, s3)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9954, 9917, 9895, 9683])).
% 12.13/12.33 tff(9956,plain,
% 12.13/12.33 (m_state_v_angle(c_s, s3, c_arm1totable)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9853, 9311, 9955])).
% 12.13/12.33 tff(9957,plain,
% 12.13/12.33 ($false),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[4769, 1443, 9917, 9956, 4726])).
% 12.13/12.33 tff(9958,plain,((~node132(c_s, s6)) | m_state_v_a1ext(c_s, s5, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.33 tff(9959,plain,
% 12.13/12.33 (~node132(c_s, s6)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9958, 4919])).
% 12.13/12.33 tff(9960,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9961,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9962,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 12.13/12.33 tff(9963,plain,
% 12.13/12.33 (~node139(c_s, s6)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9962, 549, 6246])).
% 12.13/12.33 tff(9964,plain,
% 12.13/12.33 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9965,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9966,plain,
% 12.13/12.33 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 12.13/12.33 tff(9967,plain,
% 12.13/12.33 (~node138(c_s, s6)),
% 12.13/12.33 inference(unit_resolution,[status(thm)],[9966, 560, 6246])).
% 12.13/12.33 tff(9968,assumption,(m_state_v_A2M(c_s, s5, c_idle)), introduced(assumption)).
% 12.13/12.33 tff(9969,plain,
% 12.13/12.33 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s5, c_retract)) | (~m_state_v_A2M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~m_state_v_A2M(c_s, s5, c_idle)))),
% 12.13/12.33 inference(rewrite,[status(thm)],[])).
% 12.13/12.33 tff(9970,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s5, c_retract)) | (~m_state_v_A2M(c_s, s5, c_idle)))),
% 12.13/12.33 inference(quant_inst,[status(thm)],[])).
% 12.13/12.33 tff(9971,plain,
% 12.13/12.33 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~m_state_v_A2M(c_s, s5, c_idle))),
% 12.13/12.33 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 12.13/12.33 tff(9972,plain,
% 12.13/12.34 (~m_state_v_A2M(c_s, s5, c_retract)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9971, 535, 9968])).
% 12.13/12.34 tff(9973,assumption,(~node35(c_s, s5, s6)), introduced(assumption)).
% 12.13/12.34 tff(9974,plain,
% 12.13/12.34 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s5, c_extend)) | (~m_state_v_A2M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~m_state_v_A2M(c_s, s5, c_idle)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9975,plain,
% 12.13/12.34 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s5, c_extend)) | (~m_state_v_A2M(c_s, s5, c_idle)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(9976,plain,
% 12.13/12.34 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~m_state_v_A2M(c_s, s5, c_idle))),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 12.13/12.34 tff(9977,plain,
% 12.13/12.34 (~m_state_v_A2M(c_s, s5, c_extend)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9976, 670, 9968])).
% 12.13/12.34 tff(9978,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s5)) | m_state_v_A2M(c_s, s5, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s5)) | m_state_v_A2M(c_s, s5, c_extend))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9979,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s5)) | m_state_v_A2M(c_s, s5, c_extend))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(9980,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s5)) | m_state_v_A2M(c_s, s5, c_extend)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 12.13/12.34 tff(9981,plain,
% 12.13/12.34 (~node33(c_s, s5)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9980, 684, 9977])).
% 12.13/12.34 tff(9982,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s5, c_extend) | (~node34(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s5, c_extend) | (~node34(c_s, s5)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9983,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s5, c_extend) | (~node34(c_s, s5)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(9984,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s5, c_extend) | (~node34(c_s, s5))),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 12.13/12.34 tff(9985,plain,
% 12.13/12.34 (~node34(c_s, s5)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9984, 4077, 9977])).
% 12.13/12.34 tff(9986,plain,
% 12.13/12.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9987,plain,
% 12.13/12.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(9988,plain,
% 12.13/12.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 12.13/12.34 tff(9989,plain,
% 12.13/12.34 (node36(c_s, s5, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9988, 28, 575, 15])).
% 12.13/12.34 tff(9990,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9991,plain,
% 12.13/12.34 ((m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6))) <=> (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(9992,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6)))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[9991])).
% 12.13/12.34 tff(9993,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.13/12.34 inference(transitivity,[status(thm)],[9992, 9990])).
% 12.13/12.34 tff(9994,plain,
% 12.13/12.34 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(9995,plain,
% 12.13/12.34 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 12.13/12.34 tff(9996,plain,
% 12.13/12.34 (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | node35(c_s, s5, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9995, 632, 9989])).
% 12.13/12.34 tff(9997,plain,
% 12.13/12.34 ($false),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9996, 9985, 9981, 9973, 9972])).
% 12.13/12.34 tff(9998,plain,((~m_state_v_A2M(c_s, s5, c_idle)) | node35(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.34 tff(9999,plain,
% 12.13/12.34 (node35(c_s, s5, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[9998, 6034])).
% 12.13/12.34 tff(10000,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10001,plain,
% 12.13/12.34 (((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip))) <=> (m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10002,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6))))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[10001])).
% 12.13/12.34 tff(10003,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(transitivity,[status(thm)],[10002, 10000])).
% 12.13/12.34 tff(10004,plain,
% 12.13/12.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10005,plain,
% 12.13/12.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~m_state_v_a2ext(c_s, s6, c_a2ip)) | (~node35(c_s, s5, s6))),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 12.13/12.34 tff(10006,plain,
% 12.13/12.34 (~m_state_v_a2ext(c_s, s6, c_a2ip)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10005, 5005, 6083, 9999])).
% 12.13/12.34 tff(10007,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_a2ip))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10008,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_a2ip))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10009,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_a2ip)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10008, 10007])).
% 12.13/12.34 tff(10010,plain,
% 12.13/12.34 (~node134(c_s, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10009, 782, 10006])).
% 12.13/12.34 tff(10011,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10012,plain,
% 12.13/12.34 (((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob))) <=> ((~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10013,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6))))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[10012])).
% 12.13/12.34 tff(10014,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6)))),
% 12.13/12.34 inference(transitivity,[status(thm)],[10013, 10011])).
% 12.13/12.34 tff(10015,plain,
% 12.13/12.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10016,plain,
% 12.13/12.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s6, c_ob)) | m_state_v_a2ext(c_s, s5, c_ob) | (~node35(c_s, s5, s6))),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 12.13/12.34 tff(10017,plain,
% 12.13/12.34 (~m_state_v_a2ext(c_s, s6, c_ob)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10016, 5005, 6103, 9999])).
% 12.13/12.34 tff(10018,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10019,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10020,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 12.13/12.34 tff(10021,plain,
% 12.13/12.34 (~node135(c_s, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10020, 746, 10017])).
% 12.13/12.34 tff(10022,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10023,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10024,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 12.13/12.34 tff(10025,plain,
% 12.13/12.34 (~node133(c_s, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10024, 493, 6285])).
% 12.13/12.34 tff(10026,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10027,plain,
% 12.13/12.34 ((m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6))) <=> ((~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10028,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[10027])).
% 12.13/12.34 tff(10029,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.13/12.34 inference(transitivity,[status(thm)],[10028, 10026])).
% 12.13/12.34 tff(10030,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10031,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 12.13/12.34 tff(10032,plain,
% 12.13/12.34 (~node136(c_s, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10031, 478, 6285])).
% 12.13/12.34 tff(10033,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10034,plain,
% 12.13/12.34 ((m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6))) <=> ((~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10035,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob)))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[10034])).
% 12.13/12.34 tff(10036,plain,
% 12.13/12.34 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob))),
% 12.13/12.34 inference(transitivity,[status(thm)],[10035, 10033])).
% 12.13/12.34 tff(10037,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10038,plain,
% 12.13/12.34 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s6)) | m_state_v_a2ext(c_s, s6, c_ob)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 12.13/12.34 tff(10039,plain,
% 12.13/12.34 (~node137(c_s, s6)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10038, 757, 10017])).
% 12.13/12.34 tff(10040,plain,
% 12.13/12.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10041,plain,
% 12.13/12.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10042,plain,
% 12.13/12.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7)),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 12.13/12.34 tff(10043,plain,
% 12.13/12.34 (node141(c_s, s6, s7)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10042, 52, 49, 5162])).
% 12.13/12.34 tff(10044,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10045,plain,
% 12.13/12.34 ((node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7))) <=> (node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10046,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7))))),
% 12.13/12.34 inference(monotonicity,[status(thm)],[10045])).
% 12.13/12.34 tff(10047,plain,
% 12.13/12.34 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))),
% 12.13/12.34 inference(transitivity,[status(thm)],[10046, 10044])).
% 12.13/12.34 tff(10048,plain,
% 12.13/12.34 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))),
% 12.13/12.34 inference(quant_inst,[status(thm)],[])).
% 12.13/12.34 tff(10049,plain,
% 12.13/12.34 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7))),
% 12.13/12.34 inference(modus_ponens,[status(thm)],[10048, 10047])).
% 12.13/12.34 tff(10050,plain,
% 12.13/12.34 (node133(c_s, s6) | node132(c_s, s6) | node137(c_s, s6) | node136(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node135(c_s, s6) | node134(c_s, s6) | node140(c_s, s6, s7)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10049, 185, 10043])).
% 12.13/12.34 tff(10051,plain,
% 12.13/12.34 (node132(c_s, s6) | node139(c_s, s6) | node138(c_s, s6) | node140(c_s, s6, s7)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10050, 10039, 10032, 10025, 10021, 10010])).
% 12.13/12.34 tff(10052,plain,
% 12.13/12.34 (node132(c_s, s6) | node140(c_s, s6, s7)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10051, 9967, 9963])).
% 12.13/12.34 tff(10053,plain,
% 12.13/12.34 (node140(c_s, s6, s7)),
% 12.13/12.34 inference(unit_resolution,[status(thm)],[10052, 9959])).
% 12.13/12.34 tff(10054,plain,
% 12.13/12.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.13/12.34 inference(rewrite,[status(thm)],[])).
% 12.13/12.34 tff(10055,plain,
% 12.13/12.35 (((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract))) <=> (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10056,plain,
% 12.13/12.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7))))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10055])).
% 12.13/12.35 tff(10057,plain,
% 12.13/12.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10056, 10054])).
% 12.13/12.35 tff(10058,plain,
% 12.13/12.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10059,plain,
% 12.13/12.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 12.13/12.35 tff(10060,plain,
% 12.13/12.35 (~m_state_v_A2M(c_s, s7, c_retract)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10059, 3717, 6246, 10053])).
% 12.13/12.35 tff(10061,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | ((~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10062,plain,
% 12.13/12.35 ((m_state_v_A2M(c_s, s7, c_retract) | (~node160(c_s, s7))) <=> ((~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10063,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node160(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | ((~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract)))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10062])).
% 12.13/12.35 tff(10064,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node160(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10063, 10061])).
% 12.13/12.35 tff(10065,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node160(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10066,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (~node160(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 12.13/12.35 tff(10067,plain,
% 12.13/12.35 (~node160(c_s, s7)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10066, 5770, 10060])).
% 12.13/12.35 tff(10068,assumption,(m_state_v_pl(c_s, s7)), introduced(assumption)).
% 12.13/12.35 tff(10069,assumption,(~m_state_v_pl(c_s, s8)), introduced(assumption)).
% 12.13/12.35 tff(10070,assumption,(~node160(c_s, s7)), introduced(assumption)).
% 12.13/12.35 tff(10071,assumption,(~node162(c_s, s7, s8)), introduced(assumption)).
% 12.13/12.35 tff(10072,assumption,(node161(c_s, s7)), introduced(assumption)).
% 12.13/12.35 tff(10073,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node161(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node161(c_s, s7)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10074,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node161(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10075,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node161(c_s, s7))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 12.13/12.35 tff(10076,plain,
% 12.13/12.35 (m_state_v_angle(c_s, s7, c_arm1topress)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10075, 2673, 10072])).
% 12.13/12.35 tff(10077,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_retracted) | (~node161(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | m_state_v_a1ext(c_s, s7, c_retracted) | (~node161(c_s, s7)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10078,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_retracted) | (~node161(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10079,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | m_state_v_a1ext(c_s, s7, c_retracted) | (~node161(c_s, s7))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10078, 10077])).
% 12.13/12.35 tff(10080,plain,
% 12.13/12.35 (m_state_v_a1ext(c_s, s7, c_retracted)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10079, 9059, 10072])).
% 12.13/12.35 tff(10081,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10082,plain,
% 12.13/12.35 ((m_state_v_A1M(c_s, s7, c_retract) | (~node161(c_s, s7))) <=> ((~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10083,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node161(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | ((~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract)))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10082])).
% 12.13/12.35 tff(10084,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node161(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10083, 10081])).
% 12.13/12.35 tff(10085,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node161(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10086,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (~node161(c_s, s7)) | m_state_v_A1M(c_s, s7, c_retract)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 12.13/12.35 tff(10087,plain,
% 12.13/12.35 (m_state_v_A1M(c_s, s7, c_retract)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10086, 5781, 10072])).
% 12.13/12.35 tff(10088,plain,
% 12.13/12.35 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s7, s8))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10089,plain,
% 12.13/12.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s7, s8))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10090,plain,
% 12.13/12.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s7, s8)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 12.13/12.35 tff(10091,plain,
% 12.13/12.35 (node163(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10090, 52, 2701, 5304])).
% 12.13/12.35 tff(10092,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10093,plain,
% 12.13/12.35 (((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | node160(c_s, s7) | m_state_v_pl(c_s, s8) | (~node163(c_s, s7, s8))) <=> (node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10094,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | node160(c_s, s7) | m_state_v_pl(c_s, s8) | (~node163(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8)))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10093])).
% 12.13/12.35 tff(10095,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | node160(c_s, s7) | m_state_v_pl(c_s, s8) | (~node163(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10094, 10092])).
% 12.13/12.35 tff(10096,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | node160(c_s, s7) | m_state_v_pl(c_s, s8) | (~node163(c_s, s7, s8)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10097,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1topress)) | node160(J0, X) | m_state_v_pl(J0, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node163(c_s, s7, s8)) | m_state_v_pl(c_s, s8)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 12.13/12.35 tff(10098,plain,
% 12.13/12.35 (node160(c_s, s7) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_pl(c_s, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10097, 9080, 10091])).
% 12.13/12.35 tff(10099,plain,
% 12.13/12.35 ($false),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10098, 10087, 10080, 10069, 10070, 10076])).
% 12.13/12.35 tff(10100,plain,((~node161(c_s, s7)) | m_state_v_pl(c_s, s8) | node160(c_s, s7)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.35 tff(10101,plain,
% 12.13/12.35 (~node161(c_s, s7)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10100, 10070, 10069])).
% 12.13/12.35 tff(10102,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10103,plain,
% 12.13/12.35 ((node161(c_s, s7) | node160(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8))) <=> (node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10104,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s7) | node160(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8))))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10103])).
% 12.13/12.35 tff(10105,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s7) | node160(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10104, 10102])).
% 12.13/12.35 tff(10106,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s7) | node160(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10107,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8) | (~node163(c_s, s7, s8))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10106, 10105])).
% 12.13/12.35 tff(10108,plain,
% 12.13/12.35 (node160(c_s, s7) | node161(c_s, s7) | node162(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10107, 2715, 10091])).
% 12.13/12.35 tff(10109,plain,
% 12.13/12.35 ($false),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10108, 10101, 10070, 10071])).
% 12.13/12.35 tff(10110,plain,(node160(c_s, s7) | node162(c_s, s7, s8) | m_state_v_pl(c_s, s8)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.35 tff(10111,plain,
% 12.13/12.35 (node162(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10110, 10069, 10070])).
% 12.13/12.35 tff(10112,assumption,(node162(c_s, s7, s8)), introduced(assumption)).
% 12.13/12.35 tff(10113,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s7)) | (~node162(c_s, s7, s8)) | m_state_v_pl(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s7)) | (~node162(c_s, s7, s8)) | m_state_v_pl(c_s, s8))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10114,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s7)) | (~node162(c_s, s7, s8)) | m_state_v_pl(c_s, s8))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10115,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s7)) | (~node162(c_s, s7, s8)) | m_state_v_pl(c_s, s8)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10114, 10113])).
% 12.13/12.35 tff(10116,plain,
% 12.13/12.35 ($false),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10115, 2758, 10112, 10069, 10068])).
% 12.13/12.35 tff(10117,plain,((~node162(c_s, s7, s8)) | m_state_v_pl(c_s, s8) | (~m_state_v_pl(c_s, s7))), inference(lemma,lemma(discharge,[]))).
% 12.13/12.35 tff(10118,plain,
% 12.13/12.35 ($false),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10117, 10111, 10069, 10068])).
% 12.13/12.35 tff(10119,plain,(m_state_v_pl(c_s, s8) | (~m_state_v_pl(c_s, s7)) | node160(c_s, s7)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.35 tff(10120,plain,
% 12.13/12.35 (m_state_v_pl(c_s, s8) | node160(c_s, s7)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10119, 9553])).
% 12.13/12.35 tff(10121,plain,
% 12.13/12.35 (m_state_v_pl(c_s, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10120, 10067])).
% 12.13/12.35 tff(10122,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node123(c_s, s8)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node123(c_s, s8)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10123,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node123(c_s, s8)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10124,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node123(c_s, s8))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 12.13/12.35 tff(10125,plain,
% 12.13/12.35 (~node123(c_s, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10124, 2773, 10121])).
% 12.13/12.35 tff(10126,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_a1ip) | (~node143(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s7, c_a1ip) | (~node143(c_s, s7)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10127,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_a1ip) | (~node143(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10128,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s7, c_a1ip) | (~node143(c_s, s7))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 12.13/12.35 tff(10129,plain,
% 12.13/12.35 (~node143(c_s, s7)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10128, 955, 9389])).
% 12.13/12.35 tff(10130,plain,
% 12.13/12.35 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10131,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10132,plain,
% 12.13/12.35 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 12.13/12.35 tff(10133,plain,
% 12.13/12.35 (~node142(c_s, s7)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10132, 984, 9397])).
% 12.13/12.35 tff(10134,plain,
% 12.13/12.35 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10135,plain,
% 12.13/12.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10136,plain,
% 12.13/12.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8)),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 12.13/12.35 tff(10137,plain,
% 12.13/12.35 (node145(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10136, 52, 810, 5304])).
% 12.13/12.35 tff(10138,plain,
% 12.13/12.35 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10139,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))),
% 12.13/12.35 inference(quant_inst,[status(thm)],[])).
% 12.13/12.35 tff(10140,plain,
% 12.13/12.35 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8))),
% 12.13/12.35 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 12.13/12.35 tff(10141,plain,
% 12.13/12.35 (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10140, 998, 10137])).
% 12.13/12.35 tff(10142,plain,
% 12.13/12.35 (node144(c_s, s7, s8)),
% 12.13/12.35 inference(unit_resolution,[status(thm)],[10141, 10133, 10129])).
% 12.13/12.35 tff(10143,plain,
% 12.13/12.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10144,plain,
% 12.13/12.35 (((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off))) <=> ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.35 inference(rewrite,[status(thm)],[])).
% 12.13/12.35 tff(10145,plain,
% 12.13/12.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.13/12.35 inference(monotonicity,[status(thm)],[10144])).
% 12.13/12.35 tff(10146,plain,
% 12.13/12.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.35 inference(transitivity,[status(thm)],[10145, 10143])).
% 12.13/12.36 tff(10147,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10148,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 12.13/12.36 tff(10149,plain,
% 12.13/12.36 ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10148, 1068])).
% 12.13/12.36 tff(10150,plain,
% 12.13/12.36 (~m_state_v_A1Mag(c_s, s8, c_off)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10149, 10142, 9463])).
% 12.13/12.36 tff(10151,plain,
% 12.13/12.36 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10152,plain,
% 12.13/12.36 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10153,plain,
% 12.13/12.36 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off)),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10152, 10151])).
% 12.13/12.36 tff(10154,plain,
% 12.13/12.36 (~node122(c_s, s8)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10153, 9473, 10150])).
% 12.13/12.36 tff(10155,plain,
% 12.13/12.36 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10156,plain,
% 12.13/12.36 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10157,plain,
% 12.13/12.36 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8))),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 12.13/12.36 tff(10158,plain,
% 12.13/12.36 (~node127(c_s, s8)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10157, 9488, 10150])).
% 12.13/12.36 tff(10159,assumption,(~node131(c_s, s8, s9)), introduced(assumption)).
% 12.13/12.36 tff(10160,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10161,plain,
% 12.13/12.36 (((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10162,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9)))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10161])).
% 12.13/12.36 tff(10163,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10162, 10160])).
% 12.13/12.36 tff(10164,plain,
% 12.13/12.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10165,plain,
% 12.13/12.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9)),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 12.13/12.36 tff(10166,plain,
% 12.13/12.36 ($false),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10165, 52, 1481, 5508, 10159])).
% 12.13/12.36 tff(10167,plain,(node131(c_s, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 12.13/12.36 tff(10168,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10169,plain,
% 12.13/12.36 ((node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9))) <=> (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10170,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9))))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10169])).
% 12.13/12.36 tff(10171,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10170, 10168])).
% 12.13/12.36 tff(10172,plain,
% 12.13/12.36 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10173,plain,
% 12.13/12.36 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9))),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 12.13/12.36 tff(10174,plain,
% 12.13/12.36 (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9))),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10173, 1602])).
% 12.13/12.36 tff(10175,plain,
% 12.13/12.36 (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node122(c_s, s8) | node123(c_s, s8) | node130(c_s, s8, s9)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10174, 10167])).
% 12.13/12.36 tff(10176,plain,
% 12.13/12.36 (node126(c_s, s8) | node125(c_s, s8) | node129(c_s, s8) | node124(c_s, s8) | node128(c_s, s8) | node130(c_s, s8, s9)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10175, 10158, 10154, 10125])).
% 12.13/12.36 tff(10177,plain,
% 12.13/12.36 (node130(c_s, s8, s9)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10176, 9682, 9678, 9666, 9655, 9651])).
% 12.13/12.36 tff(10178,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10179,plain,
% 12.13/12.36 (((~node130(c_s, s8, s9)) | m_state_v_A1M(c_s, s8, c_retract) | (~m_state_v_A1M(c_s, s9, c_retract))) <=> ((~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10180,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s8, s9)) | m_state_v_A1M(c_s, s8, c_retract) | (~m_state_v_A1M(c_s, s9, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9))))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10179])).
% 12.13/12.36 tff(10181,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s8, s9)) | m_state_v_A1M(c_s, s8, c_retract) | (~m_state_v_A1M(c_s, s9, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9)))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10180, 10178])).
% 12.13/12.36 tff(10182,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s8, s9)) | m_state_v_A1M(c_s, s8, c_retract) | (~m_state_v_A1M(c_s, s9, c_retract)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10183,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s9, c_retract)) | m_state_v_A1M(c_s, s8, c_retract) | (~node130(c_s, s8, s9))),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 12.13/12.36 tff(10184,plain,
% 12.13/12.36 (~m_state_v_A1M(c_s, s9, c_retract)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10183, 1619, 9581, 10177])).
% 12.13/12.36 tff(10185,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10186,plain,
% 12.13/12.36 ((m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | node31(c_s, s9, s5) | (~node32(c_s, s9, s5))) <=> (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10187,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | node31(c_s, s9, s5) | (~node32(c_s, s9, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5)))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10186])).
% 12.13/12.36 tff(10188,plain,
% 12.13/12.36 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | node31(c_s, s9, s5) | (~node32(c_s, s9, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10187, 10185])).
% 12.13/12.36 tff(10189,plain,
% 12.13/12.36 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | node31(c_s, s9, s5) | (~node32(c_s, s9, s5)))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10190,plain,
% 12.13/12.36 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s9, c_retract) | node29(c_s, s9) | node30(c_s, s9) | (~node32(c_s, s9, s5)) | node31(c_s, s9, s5)),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 12.13/12.36 tff(10191,plain,
% 12.13/12.36 (~node32(c_s, s9, s5)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10190, 904, 10184, 9640, 9315, 9304])).
% 12.13/12.36 tff(10192,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10193,plain,
% 12.13/12.36 (((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s9, s5)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10194,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5)))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10193])).
% 12.13/12.36 tff(10195,plain,
% 12.13/12.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10194, 10192])).
% 12.13/12.36 tff(10196,plain,
% 12.13/12.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s9, s5))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10197,plain,
% 12.13/12.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node32(c_s, s9, s5)),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 12.13/12.36 tff(10198,plain,
% 12.13/12.36 (~trans(s9, s5)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10197, 28, 825, 10191])).
% 12.13/12.36 tff(10199,assumption,(node31(c_s, s7, s8)), introduced(assumption)).
% 12.13/12.36 tff(10200,assumption,(~m_state_v_a1ext(c_s, s8, c_retracted)), introduced(assumption)).
% 12.13/12.36 tff(10201,assumption,(m_state_v_a1ext(c_s, s7, c_retracted)), introduced(assumption)).
% 12.13/12.36 tff(10202,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10203,plain,
% 12.13/12.36 (((~node31(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted)) <=> ((~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10204,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8))))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10203])).
% 12.13/12.36 tff(10205,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8)))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10204, 10202])).
% 12.13/12.36 tff(10206,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10207,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8))),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 12.13/12.36 tff(10208,plain,
% 12.13/12.36 ($false),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10207, 2334, 10201, 10200, 10199])).
% 12.13/12.36 tff(10209,plain,((~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 12.13/12.36 tff(10210,plain,
% 12.13/12.36 (m_state_v_a1ext(c_s, s8, c_retracted) | (~node31(c_s, s7, s8))),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10209, 9385])).
% 12.13/12.36 tff(10211,plain,
% 12.13/12.36 (m_state_v_a1ext(c_s, s8, c_retracted)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10210, 9618])).
% 12.13/12.36 tff(10212,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10213,plain,
% 12.13/12.36 (((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted)) <=> (m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10214,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9))))),
% 12.13/12.36 inference(monotonicity,[status(thm)],[10213])).
% 12.13/12.36 tff(10215,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9)))),
% 12.13/12.36 inference(transitivity,[status(thm)],[10214, 10212])).
% 12.13/12.36 tff(10216,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))),
% 12.13/12.36 inference(quant_inst,[status(thm)],[])).
% 12.13/12.36 tff(10217,plain,
% 12.13/12.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s9, c_retracted) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | (~node31(c_s, s8, s9))),
% 12.13/12.36 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 12.13/12.36 tff(10218,plain,
% 12.13/12.36 (m_state_v_a1ext(c_s, s9, c_retracted)),
% 12.13/12.36 inference(unit_resolution,[status(thm)],[10217, 2334, 10211, 9593])).
% 12.13/12.36 tff(10219,assumption,(node130(c_s, s7, s8)), introduced(assumption)).
% 12.13/12.36 tff(10220,assumption,(m_state_v_A1M(c_s, s7, c_idle)), introduced(assumption)).
% 12.13/12.36 tff(10221,assumption,(~m_state_v_A1M(c_s, s8, c_idle)), introduced(assumption)).
% 12.13/12.36 tff(10222,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10223,plain,
% 12.13/12.36 (((~node130(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_idle)) | m_state_v_A1M(c_s, s8, c_idle)) <=> (m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8)))),
% 12.13/12.36 inference(rewrite,[status(thm)],[])).
% 12.13/12.36 tff(10224,plain,
% 12.13/12.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_idle)) | m_state_v_A1M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8))))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10223])).
% 12.13/12.37 tff(10225,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_idle)) | m_state_v_A1M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8)))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10224, 10222])).
% 12.13/12.37 tff(10226,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_idle)) | m_state_v_A1M(c_s, s8, c_idle))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10227,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s7, s8))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 12.13/12.37 tff(10228,plain,
% 12.13/12.37 ($false),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10227, 2021, 10221, 10220, 10219])).
% 12.13/12.37 tff(10229,plain,((~node130(c_s, s7, s8)) | m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.13/12.37 tff(10230,plain,
% 12.13/12.37 (m_state_v_A1M(c_s, s8, c_idle)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10229, 9574, 9123])).
% 12.13/12.37 tff(10231,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10232,plain,
% 12.13/12.37 (((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle)) <=> (m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10233,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9))))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10232])).
% 12.13/12.37 tff(10234,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9)))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10233, 10231])).
% 12.13/12.37 tff(10235,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10236,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s9, c_idle) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~node130(c_s, s8, s9))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 12.13/12.37 tff(10237,plain,
% 12.13/12.37 (m_state_v_A1M(c_s, s9, c_idle)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10236, 2021, 10230, 10177])).
% 12.13/12.37 tff(10238,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node150(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s7, c_retract) | (~node150(c_s, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10239,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s7, c_retract) | (~node150(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10240,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s7, c_retract) | (~node150(c_s, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 12.13/12.37 tff(10241,plain,
% 12.13/12.37 (~node150(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10240, 1359, 9127])).
% 12.13/12.37 tff(10242,plain,
% 12.13/12.37 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))))),
% 12.13/12.37 inference(bind,[status(th)],[])).
% 12.13/12.37 tff(10243,plain,
% 12.13/12.37 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.13/12.37 inference(quant_intro,[status(thm)],[10242])).
% 12.13/12.37 tff(10244,plain,
% 12.13/12.37 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10245,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_172')).
% 12.13/12.37 tff(10246,plain,
% 12.13/12.37 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 12.13/12.37 tff(10247,plain,(
% 12.13/12.37 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.13/12.37 inference(skolemize,[status(sab)],[10246])).
% 12.13/12.37 tff(10248,plain,
% 12.13/12.37 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10247, 10243])).
% 12.13/12.37 tff(10249,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | ((~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10250,plain,
% 12.13/12.37 ((m_state_v_A1Mag(c_s, s7, c_off) | (~node157(c_s, s7))) <=> ((~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10251,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node157(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | ((~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10250])).
% 12.13/12.37 tff(10252,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node157(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10251, 10249])).
% 12.13/12.37 tff(10253,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s7, c_off) | (~node157(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10254,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (~node157(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 12.13/12.37 tff(10255,plain,
% 12.13/12.37 (~node157(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10254, 10248, 9463])).
% 12.13/12.37 tff(10256,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node153(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node153(c_s, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10257,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node153(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10258,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node153(c_s, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 12.13/12.37 tff(10259,plain,
% 12.13/12.37 (~node153(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10258, 1337, 5413])).
% 12.13/12.37 tff(10260,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node154(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node154(c_s, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10261,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node154(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10262,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node154(c_s, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 12.13/12.37 tff(10263,plain,
% 12.13/12.37 (~node154(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10262, 1304, 5463])).
% 12.13/12.37 tff(10264,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node156(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node156(c_s, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10265,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node156(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10266,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node156(c_s, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10265, 10264])).
% 12.13/12.37 tff(10267,plain,
% 12.13/12.37 (~node156(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10266, 1348, 5413])).
% 12.13/12.37 tff(10268,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node152(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node152(c_s, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10269,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node152(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10270,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node152(c_s, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10269, 10268])).
% 12.13/12.37 tff(10271,plain,
% 12.13/12.37 (~node152(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10270, 3939, 10060])).
% 12.13/12.37 tff(10272,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | ((~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10273,plain,
% 12.13/12.37 ((m_state_v_A2M(c_s, s7, c_retract) | (~node151(c_s, s7))) <=> ((~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10274,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node151(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | ((~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract)))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10273])).
% 12.13/12.37 tff(10275,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node151(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10274, 10272])).
% 12.13/12.37 tff(10276,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node151(c_s, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10277,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (~node151(c_s, s7)) | m_state_v_A2M(c_s, s7, c_retract)),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 12.13/12.37 tff(10278,plain,
% 12.13/12.37 (~node151(c_s, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10277, 3740, 10060])).
% 12.13/12.37 tff(10279,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10280,plain,
% 12.13/12.37 (((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off)) <=> ((~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10281,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6))))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10280])).
% 12.13/12.37 tff(10282,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6)))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10281, 10279])).
% 12.13/12.37 tff(10283,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10284,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off) | (~node148(c_s, s5, s6))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 12.13/12.37 tff(10285,plain,
% 12.13/12.37 (m_state_v_A2Mag(c_s, s6, c_off)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10284, 2535, 6223, 6278])).
% 12.13/12.37 tff(10286,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_a2ip) | (~node146(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s6, c_a2ip) | (~node146(c_s, s6)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10287,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_a2ip) | (~node146(c_s, s6)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10288,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s6, c_a2ip) | (~node146(c_s, s6))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 12.13/12.37 tff(10289,plain,
% 12.13/12.37 (~node146(c_s, s6)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10288, 1198, 10006])).
% 12.13/12.37 tff(10290,plain,
% 12.13/12.37 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node147(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s6, c_ob) | (~node147(c_s, s6)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10291,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node147(c_s, s6)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10292,plain,
% 12.13/12.37 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s6, c_ob) | (~node147(c_s, s6))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 12.13/12.37 tff(10293,plain,
% 12.13/12.37 (~node147(c_s, s6)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10292, 1209, 10017])).
% 12.13/12.37 tff(10294,plain,
% 12.13/12.37 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10295,plain,
% 12.13/12.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10296,plain,
% 12.13/12.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7)),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10295, 10294])).
% 12.13/12.37 tff(10297,plain,
% 12.13/12.37 (node149(c_s, s6, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10296, 52, 388, 5162])).
% 12.13/12.37 tff(10298,plain,
% 12.13/12.37 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10299,plain,
% 12.13/12.37 ((node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7))) <=> (node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10300,plain,
% 12.13/12.37 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7)))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10299])).
% 12.13/12.37 tff(10301,plain,
% 12.13/12.37 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10300, 10298])).
% 12.13/12.37 tff(10302,plain,
% 12.13/12.37 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10303,plain,
% 12.13/12.37 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s6) | node146(c_s, s6) | (~node149(c_s, s6, s7)) | node148(c_s, s6, s7)),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 12.13/12.37 tff(10304,plain,
% 12.13/12.37 (node147(c_s, s6) | node146(c_s, s6) | node148(c_s, s6, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10303, 424, 10297])).
% 12.13/12.37 tff(10305,plain,
% 12.13/12.37 (node148(c_s, s6, s7)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10304, 10293, 10289])).
% 12.13/12.37 tff(10306,assumption,(node148(c_s, s6, s7)), introduced(assumption)).
% 12.13/12.37 tff(10307,assumption,(m_state_v_A2Mag(c_s, s6, c_off)), introduced(assumption)).
% 12.13/12.37 tff(10308,assumption,(~m_state_v_A2Mag(c_s, s7, c_off)), introduced(assumption)).
% 12.13/12.37 tff(10309,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10310,plain,
% 12.13/12.37 (((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off)) <=> (m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7)))),
% 12.13/12.37 inference(rewrite,[status(thm)],[])).
% 12.13/12.37 tff(10311,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7))))),
% 12.13/12.37 inference(monotonicity,[status(thm)],[10310])).
% 12.13/12.37 tff(10312,plain,
% 12.13/12.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7)))),
% 12.13/12.37 inference(transitivity,[status(thm)],[10311, 10309])).
% 12.13/12.37 tff(10313,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))),
% 12.13/12.37 inference(quant_inst,[status(thm)],[])).
% 12.13/12.37 tff(10314,plain,
% 12.13/12.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s7, c_off) | (~m_state_v_A2Mag(c_s, s6, c_off)) | (~node148(c_s, s6, s7))),
% 12.13/12.37 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 12.13/12.37 tff(10315,plain,
% 12.13/12.37 ($false),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10314, 2535, 10308, 10307, 10306])).
% 12.13/12.37 tff(10316,plain,((~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 12.13/12.37 tff(10317,plain,
% 12.13/12.37 (m_state_v_A2Mag(c_s, s7, c_off)),
% 12.13/12.37 inference(unit_resolution,[status(thm)],[10316, 10305, 10285])).
% 12.13/12.37 tff(10318,plain,
% 12.13/12.37 (((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s7, c_off)) | (~m_state_v_A2Mag(c_s, s7, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~m_state_v_A2Mag(c_s, s7, c_on)))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10319,plain,
% 12.13/12.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s7, c_off)) | (~m_state_v_A2Mag(c_s, s7, c_on)))),
% 12.13/12.38 inference(quant_inst,[status(thm)],[])).
% 12.13/12.38 tff(10320,plain,
% 12.13/12.38 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~m_state_v_A2Mag(c_s, s7, c_on))),
% 12.13/12.38 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 12.13/12.38 tff(10321,plain,
% 12.13/12.38 ((~m_state_v_A2Mag(c_s, s7, c_off)) | (~m_state_v_A2Mag(c_s, s7, c_on))),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10320, 450])).
% 12.13/12.38 tff(10322,plain,
% 12.13/12.38 (~m_state_v_A2Mag(c_s, s7, c_on)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10321, 10317])).
% 12.13/12.38 tff(10323,plain,
% 12.13/12.38 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~node155(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~node155(c_s, s7)))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10324,plain,
% 12.13/12.38 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~node155(c_s, s7)))),
% 12.13/12.38 inference(quant_inst,[status(thm)],[])).
% 12.13/12.38 tff(10325,plain,
% 12.13/12.38 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~node155(c_s, s7))),
% 12.13/12.38 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 12.13/12.38 tff(10326,plain,
% 12.13/12.38 (~node155(c_s, s7)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10325, 1246, 10322])).
% 12.13/12.38 tff(10327,plain,
% 12.13/12.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10328,plain,
% 12.13/12.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))),
% 12.13/12.38 inference(quant_inst,[status(thm)],[])).
% 12.13/12.38 tff(10329,plain,
% 12.13/12.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8)),
% 12.13/12.38 inference(modus_ponens,[status(thm)],[10328, 10327])).
% 12.13/12.38 tff(10330,plain,
% 12.13/12.38 (node159(c_s, s7, s8)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10329, 52, 1260, 5304])).
% 12.13/12.38 tff(10331,plain,
% 12.13/12.38 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10332,plain,
% 12.13/12.38 ((node150(c_s, s7) | node151(c_s, s7) | node152(c_s, s7) | node153(c_s, s7) | node154(c_s, s7) | node155(c_s, s7) | node156(c_s, s7) | node157(c_s, s7) | node158(c_s, s7, s8) | (~node159(c_s, s7, s8))) <=> (node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10333,plain,
% 12.13/12.38 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s7) | node151(c_s, s7) | node152(c_s, s7) | node153(c_s, s7) | node154(c_s, s7) | node155(c_s, s7) | node156(c_s, s7) | node157(c_s, s7) | node158(c_s, s7, s8) | (~node159(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8)))),
% 12.13/12.38 inference(monotonicity,[status(thm)],[10332])).
% 12.13/12.38 tff(10334,plain,
% 12.13/12.38 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s7) | node151(c_s, s7) | node152(c_s, s7) | node153(c_s, s7) | node154(c_s, s7) | node155(c_s, s7) | node156(c_s, s7) | node157(c_s, s7) | node158(c_s, s7, s8) | (~node159(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8))),
% 12.13/12.38 inference(transitivity,[status(thm)],[10333, 10331])).
% 12.13/12.38 tff(10335,plain,
% 12.13/12.38 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s7) | node151(c_s, s7) | node152(c_s, s7) | node153(c_s, s7) | node154(c_s, s7) | node155(c_s, s7) | node156(c_s, s7) | node157(c_s, s7) | node158(c_s, s7, s8) | (~node159(c_s, s7, s8)))),
% 12.13/12.38 inference(quant_inst,[status(thm)],[])).
% 12.13/12.38 tff(10336,plain,
% 12.13/12.38 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | (~node159(c_s, s7, s8)) | node158(c_s, s7, s8)),
% 12.13/12.38 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 12.13/12.38 tff(10337,plain,
% 12.13/12.38 (node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node155(c_s, s7) | node152(c_s, s7) | node158(c_s, s7, s8)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10336, 1376, 10330])).
% 12.13/12.38 tff(10338,plain,
% 12.13/12.38 (node154(c_s, s7) | node151(c_s, s7) | node156(c_s, s7) | node153(c_s, s7) | node157(c_s, s7) | node150(c_s, s7) | node152(c_s, s7) | node158(c_s, s7, s8)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10337, 10326])).
% 12.13/12.38 tff(10339,plain,
% 12.13/12.38 (node150(c_s, s7) | node158(c_s, s7, s8)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10338, 10278, 10271, 10267, 10263, 10259, 10255])).
% 12.13/12.38 tff(10340,plain,
% 12.13/12.38 (node158(c_s, s7, s8)),
% 12.13/12.38 inference(unit_resolution,[status(thm)],[10339, 10241])).
% 12.13/12.38 tff(10341,plain,
% 12.13/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8)))),
% 12.13/12.38 inference(rewrite,[status(thm)],[])).
% 12.13/12.38 tff(10342,plain,
% 12.13/12.38 (((~node158(c_s, s7, s8)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock)) <=> ((~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10343,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s7, s8)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10342])).
% 12.22/12.38 tff(10344,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s7, s8)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10343, 10341])).
% 12.22/12.38 tff(10345,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s7, s8)) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10346,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 12.22/12.38 tff(10347,plain,
% 12.22/12.38 ((~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node158(c_s, s7, s8))),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10346, 1681])).
% 12.22/12.38 tff(10348,plain,
% 12.22/12.38 (m_state_v_RRM(c_s, s8, c_counterclock)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10347, 10340, 5522])).
% 12.22/12.38 tff(10349,plain,
% 12.22/12.38 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node153(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node153(c_s, s8)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10350,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node153(c_s, s8)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10351,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node153(c_s, s8))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 12.22/12.38 tff(10352,plain,
% 12.22/12.38 (~node153(c_s, s8)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10351, 1337, 9287])).
% 12.22/12.38 tff(10353,plain,
% 12.22/12.38 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))))),
% 12.22/12.38 inference(bind,[status(th)],[])).
% 12.22/12.38 tff(10354,plain,
% 12.22/12.38 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.22/12.38 inference(quant_intro,[status(thm)],[10353])).
% 12.22/12.38 tff(10355,plain,
% 12.22/12.38 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10356,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_131')).
% 12.22/12.38 tff(10357,plain,
% 12.22/12.38 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 12.22/12.38 tff(10358,plain,(
% 12.22/12.38 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.22/12.38 inference(skolemize,[status(sab)],[10357])).
% 12.22/12.38 tff(10359,plain,
% 12.22/12.38 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10358, 10354])).
% 12.22/12.38 tff(10360,plain,
% 12.22/12.38 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node150(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node150(c_s, s8)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10361,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node150(c_s, s8)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10362,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node150(c_s, s8))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10361, 10360])).
% 12.22/12.38 tff(10363,plain,
% 12.22/12.38 (~node150(c_s, s8)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10362, 10359, 8836])).
% 12.22/12.38 tff(10364,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10365,plain,
% 12.22/12.38 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10366,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10365])).
% 12.22/12.38 tff(10367,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10366, 10364])).
% 12.22/12.38 tff(10368,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10369,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 12.22/12.38 tff(10370,plain,
% 12.22/12.38 (~m_state_v_angle(c_s, s3, c_arm2todepbelt)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10369, 340, 3821, 4756])).
% 12.22/12.38 tff(10371,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10372,plain,
% 12.22/12.38 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10373,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10372])).
% 12.22/12.38 tff(10374,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10373, 10371])).
% 12.22/12.38 tff(10375,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10376,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~node41(c_s, s3, s4))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 12.22/12.38 tff(10377,plain,
% 12.22/12.38 (~m_state_v_angle(c_s, s4, c_arm2todepbelt)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10376, 340, 10370, 4726])).
% 12.22/12.38 tff(10378,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10379,plain,
% 12.22/12.38 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10380,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10379])).
% 12.22/12.38 tff(10381,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10380, 10378])).
% 12.22/12.38 tff(10382,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10383,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | (~node41(c_s, s4, s5))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 12.22/12.38 tff(10384,plain,
% 12.22/12.38 (~m_state_v_angle(c_s, s5, c_arm2todepbelt)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10383, 340, 10377, 4798])).
% 12.22/12.38 tff(10385,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10386,plain,
% 12.22/12.38 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10387,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10386])).
% 12.22/12.38 tff(10388,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10387, 10385])).
% 12.22/12.38 tff(10389,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10390,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 12.22/12.38 tff(10391,plain,
% 12.22/12.38 (~m_state_v_angle(c_s, s6, c_arm2todepbelt)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10390, 340, 10384, 4327])).
% 12.22/12.38 tff(10392,plain,
% 12.22/12.38 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~node34(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~node34(c_s, s6)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10393,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~node34(c_s, s6)))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10394,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~node34(c_s, s6))),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 12.22/12.38 tff(10395,plain,
% 12.22/12.38 (~node34(c_s, s6)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10394, 600, 10391])).
% 12.22/12.38 tff(10396,plain,
% 12.22/12.38 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm2topress))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10397,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm2topress))),
% 12.22/12.38 inference(quant_inst,[status(thm)],[])).
% 12.22/12.38 tff(10398,plain,
% 12.22/12.38 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm2topress)),
% 12.22/12.38 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 12.22/12.38 tff(10399,plain,
% 12.22/12.38 (~node33(c_s, s6)),
% 12.22/12.38 inference(unit_resolution,[status(thm)],[10398, 589, 5456])).
% 12.22/12.38 tff(10400,assumption,(node35(c_s, s5, s6)), introduced(assumption)).
% 12.22/12.38 tff(10401,assumption,(~m_state_v_a2ext(c_s, s6, c_retracted)), introduced(assumption)).
% 12.22/12.38 tff(10402,assumption,(m_state_v_a2ext(c_s, s5, c_retracted)), introduced(assumption)).
% 12.22/12.38 tff(10403,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10404,plain,
% 12.22/12.38 (((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted)) <=> (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.22/12.38 inference(rewrite,[status(thm)],[])).
% 12.22/12.38 tff(10405,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6))))),
% 12.22/12.38 inference(monotonicity,[status(thm)],[10404])).
% 12.22/12.38 tff(10406,plain,
% 12.22/12.38 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.22/12.38 inference(transitivity,[status(thm)],[10405, 10403])).
% 12.22/12.38 tff(10407,plain,
% 12.22/12.38 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10408,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10407, 10406])).
% 12.22/12.39 tff(10409,plain,
% 12.22/12.39 ($false),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10408, 708, 10402, 10401, 10400])).
% 12.22/12.39 tff(10410,plain,((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.22/12.39 tff(10411,plain,
% 12.22/12.39 (m_state_v_a2ext(c_s, s6, c_retracted)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10410, 9999, 6099])).
% 12.22/12.39 tff(10412,assumption,(~node34(c_s, s6)), introduced(assumption)).
% 12.22/12.39 tff(10413,assumption,(~node33(c_s, s6)), introduced(assumption)).
% 12.22/12.39 tff(10414,assumption,(~m_state_v_a2ext(c_s, s7, c_retracted)), introduced(assumption)).
% 12.22/12.39 tff(10415,plain,
% 12.22/12.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10416,plain,
% 12.22/12.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10417,plain,
% 12.22/12.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7)),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 12.22/12.39 tff(10418,plain,
% 12.22/12.39 (node36(c_s, s6, s7)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10417, 28, 575, 5162])).
% 12.22/12.39 tff(10419,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10420,plain,
% 12.22/12.39 (((~m_state_v_A2M(c_s, s6, c_retract)) | node34(c_s, s6) | node33(c_s, s6) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted)) <=> ((~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10421,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | node34(c_s, s6) | node33(c_s, s6) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract))))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10420])).
% 12.22/12.39 tff(10422,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | node34(c_s, s6) | node33(c_s, s6) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10421, 10419])).
% 12.22/12.39 tff(10423,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | ((~m_state_v_A2M(c_s, s6, c_retract)) | node34(c_s, s6) | node33(c_s, s6) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10424,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A2M(J0, X, c_retract)) | node34(J0, X) | node33(J0, X) | (~node36(J0, X, Y)) | m_state_v_a2ext(J0, Y, c_retracted))) | (~node36(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 12.22/12.39 tff(10425,plain,
% 12.22/12.39 (m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_A2M(c_s, s6, c_retract))),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10424, 614, 10418])).
% 12.22/12.39 tff(10426,plain,
% 12.22/12.39 (~m_state_v_A2M(c_s, s6, c_retract)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10425, 10414, 10413, 10412])).
% 12.22/12.39 tff(10427,assumption,(m_state_v_a2ext(c_s, s6, c_retracted)), introduced(assumption)).
% 12.22/12.39 tff(10428,assumption,(node35(c_s, s6, s7)), introduced(assumption)).
% 12.22/12.39 tff(10429,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10430,plain,
% 12.22/12.39 (((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted)) <=> (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10431,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7))))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10430])).
% 12.22/12.39 tff(10432,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10431, 10429])).
% 12.22/12.39 tff(10433,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10434,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 12.22/12.39 tff(10435,plain,
% 12.22/12.39 ($false),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10434, 708, 10428, 10414, 10427])).
% 12.22/12.39 tff(10436,plain,((~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)) | m_state_v_a2ext(c_s, s7, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.22/12.39 tff(10437,plain,
% 12.22/12.39 (~node35(c_s, s6, s7)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10436, 10414, 10427])).
% 12.22/12.39 tff(10438,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10439,plain,
% 12.22/12.39 ((m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7))) <=> (m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10440,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6)))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10439])).
% 12.22/12.39 tff(10441,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10440, 10438])).
% 12.22/12.39 tff(10442,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10443,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)) | node33(c_s, s6) | node34(c_s, s6)),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 12.22/12.39 tff(10444,plain,
% 12.22/12.39 (m_state_v_A2M(c_s, s6, c_retract) | node35(c_s, s6, s7) | node33(c_s, s6) | node34(c_s, s6)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10443, 632, 10418])).
% 12.22/12.39 tff(10445,plain,
% 12.22/12.39 ($false),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10444, 10437, 10426, 10413, 10412])).
% 12.22/12.39 tff(10446,plain,(m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6) | (~m_state_v_a2ext(c_s, s6, c_retracted))), inference(lemma,lemma(discharge,[]))).
% 12.22/12.39 tff(10447,plain,
% 12.22/12.39 (m_state_v_a2ext(c_s, s7, c_retracted) | node33(c_s, s6) | node34(c_s, s6)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10446, 10411])).
% 12.22/12.39 tff(10448,plain,
% 12.22/12.39 (m_state_v_a2ext(c_s, s7, c_retracted)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10447, 10399, 10395])).
% 12.22/12.39 tff(10449,plain,
% 12.22/12.39 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10450,plain,
% 12.22/12.39 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10451,plain,
% 12.22/12.39 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 12.22/12.39 tff(10452,plain,
% 12.22/12.39 (~node34(c_s, s7)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10451, 600, 5282])).
% 12.22/12.39 tff(10453,plain,
% 12.22/12.39 (~node132(c_s, s5)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[6193, 6190, 4919])).
% 12.22/12.39 tff(10454,plain,
% 12.22/12.39 (node140(c_s, s5, s6)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[6138, 10453])).
% 12.22/12.39 tff(10455,plain,
% 12.22/12.39 (m_state_v_A2M(c_s, s6, c_idle)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[6043, 10454])).
% 12.22/12.39 tff(10456,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10457,plain,
% 12.22/12.39 (((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle)) <=> (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10458,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7))))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10457])).
% 12.22/12.39 tff(10459,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10458, 10456])).
% 12.22/12.39 tff(10460,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10461,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 12.22/12.39 tff(10462,plain,
% 12.22/12.39 (m_state_v_A2M(c_s, s7, c_idle)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10461, 211, 10455, 10053])).
% 12.22/12.39 tff(10463,plain,
% 12.22/12.39 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s7, c_extend)) | (~m_state_v_A2M(c_s, s7, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s7, c_extend)) | (~m_state_v_A2M(c_s, s7, c_idle)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10464,plain,
% 12.22/12.39 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s7, c_extend)) | (~m_state_v_A2M(c_s, s7, c_idle)))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10465,plain,
% 12.22/12.39 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s7, c_extend)) | (~m_state_v_A2M(c_s, s7, c_idle))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 12.22/12.39 tff(10466,plain,
% 12.22/12.39 (~m_state_v_A2M(c_s, s7, c_extend)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10465, 670, 10462])).
% 12.22/12.39 tff(10467,plain,
% 12.22/12.39 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s7)) | m_state_v_A2M(c_s, s7, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s7)) | m_state_v_A2M(c_s, s7, c_extend))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10468,plain,
% 12.22/12.39 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s7)) | m_state_v_A2M(c_s, s7, c_extend))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10469,plain,
% 12.22/12.39 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s7)) | m_state_v_A2M(c_s, s7, c_extend)),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10468, 10467])).
% 12.22/12.39 tff(10470,plain,
% 12.22/12.39 (~node33(c_s, s7)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10469, 684, 10466])).
% 12.22/12.39 tff(10471,assumption,(~node36(c_s, s7, s8)), introduced(assumption)).
% 12.22/12.39 tff(10472,plain,
% 12.22/12.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10473,plain,
% 12.22/12.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10474,plain,
% 12.22/12.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8)),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 12.22/12.39 tff(10475,plain,
% 12.22/12.39 ($false),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10474, 28, 575, 5304, 10471])).
% 12.22/12.39 tff(10476,plain,(node36(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.22/12.39 tff(10477,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10478,plain,
% 12.22/12.39 ((m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))) <=> (m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10479,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10478])).
% 12.22/12.39 tff(10480,plain,
% 12.22/12.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10479, 10477])).
% 12.22/12.39 tff(10481,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10482,plain,
% 12.22/12.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))),
% 12.22/12.39 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 12.22/12.39 tff(10483,plain,
% 12.22/12.39 (m_state_v_A2M(c_s, s7, c_retract) | node33(c_s, s7) | node34(c_s, s7) | node35(c_s, s7, s8)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10482, 632, 10476])).
% 12.22/12.39 tff(10484,plain,
% 12.22/12.39 (node35(c_s, s7, s8)),
% 12.22/12.39 inference(unit_resolution,[status(thm)],[10483, 10470, 10060, 10452])).
% 12.22/12.39 tff(10485,assumption,(node35(c_s, s7, s8)), introduced(assumption)).
% 12.22/12.39 tff(10486,assumption,(~m_state_v_a2ext(c_s, s8, c_retracted)), introduced(assumption)).
% 12.22/12.39 tff(10487,assumption,(m_state_v_a2ext(c_s, s7, c_retracted)), introduced(assumption)).
% 12.22/12.39 tff(10488,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10489,plain,
% 12.22/12.39 (((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted)) <=> (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.22/12.39 inference(rewrite,[status(thm)],[])).
% 12.22/12.39 tff(10490,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8))))),
% 12.22/12.39 inference(monotonicity,[status(thm)],[10489])).
% 12.22/12.39 tff(10491,plain,
% 12.22/12.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.22/12.39 inference(transitivity,[status(thm)],[10490, 10488])).
% 12.22/12.39 tff(10492,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))),
% 12.22/12.39 inference(quant_inst,[status(thm)],[])).
% 12.22/12.39 tff(10493,plain,
% 12.22/12.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 12.22/12.40 tff(10494,plain,
% 12.22/12.40 ($false),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10493, 708, 10487, 10486, 10485])).
% 12.22/12.40 tff(10495,plain,((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted)), inference(lemma,lemma(discharge,[]))).
% 12.22/12.40 tff(10496,plain,
% 12.22/12.40 (m_state_v_a2ext(c_s, s8, c_retracted)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10495, 10484, 10448])).
% 12.22/12.40 tff(10497,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10498,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10499,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 12.22/12.40 tff(10500,plain,
% 12.22/12.40 (~node135(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10499, 149, 5282])).
% 12.22/12.40 tff(10501,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node134(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node134(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10502,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node134(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10503,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node134(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10502, 10501])).
% 12.22/12.40 tff(10504,plain,
% 12.22/12.40 (~node134(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10503, 4021, 10466])).
% 12.22/12.40 tff(10505,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10506,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10507,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 12.22/12.40 tff(10508,plain,
% 12.22/12.40 (~node137(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10507, 160, 5282])).
% 12.22/12.40 tff(10509,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10510,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10511,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10510, 10509])).
% 12.22/12.40 tff(10512,plain,
% 12.22/12.40 (~node132(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10511, 83, 5463])).
% 12.22/12.40 tff(10513,assumption,(~node135(c_s, s7)), introduced(assumption)).
% 12.22/12.40 tff(10514,assumption,(~node134(c_s, s7)), introduced(assumption)).
% 12.22/12.40 tff(10515,assumption,(node140(c_s, s6, s7)), introduced(assumption)).
% 12.22/12.40 tff(10516,plain,
% 12.22/12.40 (~m_state_v_A2M(c_s, s7, c_retract)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10059, 3717, 6246, 10515])).
% 12.22/12.40 tff(10517,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node138(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node138(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10518,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node138(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10519,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node138(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 12.22/12.40 tff(10520,plain,
% 12.22/12.40 (~node138(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10519, 560, 10516])).
% 12.22/12.40 tff(10521,assumption,(~node132(c_s, s7)), introduced(assumption)).
% 12.22/12.40 tff(10522,assumption,(~node137(c_s, s7)), introduced(assumption)).
% 12.22/12.40 tff(10523,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node139(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node139(c_s, s7)))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10524,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~node139(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10525,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s7, c_retract) | (~node139(c_s, s7))),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 12.22/12.40 tff(10526,plain,
% 12.22/12.40 (~node139(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10525, 549, 10516])).
% 12.22/12.40 tff(10527,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10528,plain,
% 12.22/12.40 ((m_state_v_A2Mag(c_s, s7, c_on) | (~node136(c_s, s7))) <=> ((~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))),
% 12.22/12.40 inference(rewrite,[status(thm)],[])).
% 12.22/12.40 tff(10529,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~node136(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on)))),
% 12.22/12.40 inference(monotonicity,[status(thm)],[10528])).
% 12.22/12.40 tff(10530,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~node136(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))),
% 12.22/12.40 inference(transitivity,[status(thm)],[10529, 10527])).
% 12.22/12.40 tff(10531,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~node136(c_s, s7)))),
% 12.22/12.40 inference(quant_inst,[status(thm)],[])).
% 12.22/12.40 tff(10532,plain,
% 12.22/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on)),
% 12.22/12.40 inference(modus_ponens,[status(thm)],[10531, 10530])).
% 12.22/12.40 tff(10533,plain,
% 12.22/12.40 (~node136(c_s, s7)),
% 12.22/12.40 inference(unit_resolution,[status(thm)],[10532, 478, 10322])).
% 12.22/12.40 tff(10534,plain,
% 12.22/12.40 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10535,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10536,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s7)) | m_state_v_A2Mag(c_s, s7, c_on)),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10535, 10534])).
% 12.24/12.40 tff(10537,plain,
% 12.24/12.40 (~node133(c_s, s7)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10536, 493, 10322])).
% 12.24/12.40 tff(10538,assumption,(~node141(c_s, s7, s8)), introduced(assumption)).
% 12.24/12.40 tff(10539,plain,
% 12.24/12.40 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10540,plain,
% 12.24/12.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10541,plain,
% 12.24/12.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8)),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 12.24/12.40 tff(10542,plain,
% 12.24/12.40 ($false),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10541, 52, 49, 5304, 10538])).
% 12.24/12.40 tff(10543,plain,(node141(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.24/12.40 tff(10544,plain,
% 12.24/12.40 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10545,plain,
% 12.24/12.40 ((node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))) <=> (node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10546,plain,
% 12.24/12.40 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))))),
% 12.24/12.40 inference(monotonicity,[status(thm)],[10545])).
% 12.24/12.40 tff(10547,plain,
% 12.24/12.40 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.24/12.40 inference(transitivity,[status(thm)],[10546, 10544])).
% 12.24/12.40 tff(10548,plain,
% 12.24/12.40 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10549,plain,
% 12.24/12.40 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 12.24/12.40 tff(10550,plain,
% 12.24/12.40 (node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node133(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10549, 185, 10543])).
% 12.24/12.40 tff(10551,plain,
% 12.24/12.40 (node138(c_s, s7) | node134(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node140(c_s, s7, s8)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10550, 10537, 10533])).
% 12.24/12.40 tff(10552,plain,
% 12.24/12.40 (node140(c_s, s7, s8)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10551, 10526, 10522, 10521, 10520, 10514, 10513])).
% 12.24/12.40 tff(10553,assumption,(m_state_v_A2M(c_s, s6, c_idle)), introduced(assumption)).
% 12.24/12.40 tff(10554,plain,
% 12.24/12.40 (m_state_v_A2M(c_s, s7, c_idle)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10461, 211, 10553, 10515])).
% 12.24/12.40 tff(10555,assumption,(~m_state_v_A2M(c_s, s8, c_idle)), introduced(assumption)).
% 12.24/12.40 tff(10556,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10557,plain,
% 12.24/12.40 (((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle)) <=> (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10558,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8))))),
% 12.24/12.40 inference(monotonicity,[status(thm)],[10557])).
% 12.24/12.40 tff(10559,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.24/12.40 inference(transitivity,[status(thm)],[10558, 10556])).
% 12.24/12.40 tff(10560,plain,
% 12.24/12.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10561,plain,
% 12.24/12.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8))),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 12.24/12.40 tff(10562,plain,
% 12.24/12.40 ($false),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10561, 211, 10555, 10554, 10552])).
% 12.24/12.40 tff(10563,plain,((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s8, c_idle) | node137(c_s, s7) | node132(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | (~m_state_v_A2M(c_s, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.24/12.40 tff(10564,plain,
% 12.24/12.40 (m_state_v_A2M(c_s, s8, c_idle)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10563, 10512, 10508, 10053, 10504, 10500, 10455])).
% 12.24/12.40 tff(10565,plain,
% 12.24/12.40 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10566,plain,
% 12.24/12.40 (((~m_state_v_A2M(c_s, s8, c_retract)) | (~m_state_v_A2M(c_s, s8, c_idle))) <=> ((~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10567,plain,
% 12.24/12.40 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_retract)) | (~m_state_v_A2M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract))))),
% 12.24/12.40 inference(monotonicity,[status(thm)],[10566])).
% 12.24/12.40 tff(10568,plain,
% 12.24/12.40 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_retract)) | (~m_state_v_A2M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract)))),
% 12.24/12.40 inference(transitivity,[status(thm)],[10567, 10565])).
% 12.24/12.40 tff(10569,plain,
% 12.24/12.40 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_retract)) | (~m_state_v_A2M(c_s, s8, c_idle)))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10570,plain,
% 12.24/12.40 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_retract))),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 12.24/12.40 tff(10571,plain,
% 12.24/12.40 (~m_state_v_A2M(c_s, s8, c_retract)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10570, 535, 10564])).
% 12.24/12.40 tff(10572,plain,
% 12.24/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10573,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10574,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8))),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 12.24/12.40 tff(10575,plain,
% 12.24/12.40 (~node152(c_s, s8)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10574, 3939, 10571])).
% 12.24/12.40 tff(10576,plain,
% 12.24/12.40 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10577,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10578,plain,
% 12.24/12.40 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8))),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 12.24/12.40 tff(10579,plain,
% 12.24/12.40 (~node151(c_s, s8)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10578, 3740, 10571])).
% 12.24/12.40 tff(10580,plain,
% 12.24/12.40 (((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s7, c_off) | m_state_v_A1Mag(c_s, s7, c_on))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s7, c_off) | m_state_v_A1Mag(c_s, s7, c_on))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10581,plain,
% 12.24/12.40 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s7, c_off) | m_state_v_A1Mag(c_s, s7, c_on))),
% 12.24/12.40 inference(quant_inst,[status(thm)],[])).
% 12.24/12.40 tff(10582,plain,
% 12.24/12.40 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s7, c_off) | m_state_v_A1Mag(c_s, s7, c_on)),
% 12.24/12.40 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 12.24/12.40 tff(10583,plain,
% 12.24/12.40 (m_state_v_A1Mag(c_s, s7, c_off) | m_state_v_A1Mag(c_s, s7, c_on)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10582, 9906])).
% 12.24/12.40 tff(10584,plain,
% 12.24/12.40 (m_state_v_A1Mag(c_s, s7, c_on)),
% 12.24/12.40 inference(unit_resolution,[status(thm)],[10583, 9463])).
% 12.24/12.40 tff(10585,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10586,plain,
% 12.24/12.40 (((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on)) <=> (m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)))),
% 12.24/12.40 inference(rewrite,[status(thm)],[])).
% 12.24/12.40 tff(10587,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on))))),
% 12.24/12.40 inference(monotonicity,[status(thm)],[10586])).
% 12.24/12.40 tff(10588,plain,
% 12.24/12.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)))),
% 12.24/12.41 inference(transitivity,[status(thm)],[10587, 10585])).
% 12.24/12.41 tff(10589,plain,
% 12.24/12.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10590,plain,
% 12.24/12.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 12.24/12.41 tff(10591,plain,
% 12.24/12.41 (m_state_v_A1Mag(c_s, s8, c_on)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10590, 2358, 10142, 10584])).
% 12.24/12.41 tff(10592,plain,
% 12.24/12.41 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10593,plain,
% 12.24/12.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10594,plain,
% 12.24/12.41 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 12.24/12.41 tff(10595,plain,
% 12.24/12.41 (~node147(c_s, s7)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10594, 410, 5282])).
% 12.24/12.41 tff(10596,plain,
% 12.24/12.41 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node146(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node146(c_s, s7)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10597,plain,
% 12.24/12.41 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node146(c_s, s7)))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10598,plain,
% 12.24/12.41 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node146(c_s, s7))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10597, 10596])).
% 12.24/12.41 tff(10599,plain,
% 12.24/12.41 (~node146(c_s, s7)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10598, 1157, 10466])).
% 12.24/12.41 tff(10600,plain,
% 12.24/12.41 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10601,plain,
% 12.24/12.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10602,plain,
% 12.24/12.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8)),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10601, 10600])).
% 12.24/12.41 tff(10603,plain,
% 12.24/12.41 (node149(c_s, s7, s8)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10602, 52, 388, 5304])).
% 12.24/12.41 tff(10604,plain,
% 12.24/12.41 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10605,plain,
% 12.24/12.41 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10606,plain,
% 12.24/12.41 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 12.24/12.41 tff(10607,plain,
% 12.24/12.41 (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10606, 424, 10603])).
% 12.24/12.41 tff(10608,plain,
% 12.24/12.41 (node148(c_s, s7, s8)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10607, 10599, 10595])).
% 12.24/12.41 tff(10609,assumption,(node148(c_s, s7, s8)), introduced(assumption)).
% 12.24/12.41 tff(10610,assumption,(m_state_v_A2Mag(c_s, s7, c_off)), introduced(assumption)).
% 12.24/12.41 tff(10611,assumption,(~m_state_v_A2Mag(c_s, s8, c_off)), introduced(assumption)).
% 12.24/12.41 tff(10612,plain,
% 12.24/12.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10613,plain,
% 12.24/12.41 (((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off)) <=> (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10614,plain,
% 12.24/12.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8))))),
% 12.24/12.41 inference(monotonicity,[status(thm)],[10613])).
% 12.24/12.41 tff(10615,plain,
% 12.24/12.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.24/12.41 inference(transitivity,[status(thm)],[10614, 10612])).
% 12.24/12.41 tff(10616,plain,
% 12.24/12.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10617,plain,
% 12.24/12.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10616, 10615])).
% 12.24/12.41 tff(10618,plain,
% 12.24/12.41 ($false),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10617, 2535, 10611, 10610, 10609])).
% 12.24/12.41 tff(10619,plain,((~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off) | (~node148(c_s, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 12.24/12.41 tff(10620,plain,
% 12.24/12.41 (m_state_v_A2Mag(c_s, s8, c_off) | (~node148(c_s, s7, s8))),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10619, 10317])).
% 12.24/12.41 tff(10621,plain,
% 12.24/12.41 (m_state_v_A2Mag(c_s, s8, c_off)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10620, 10608])).
% 12.24/12.41 tff(10622,plain,
% 12.24/12.41 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10623,plain,
% 12.24/12.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))),
% 12.24/12.41 inference(quant_inst,[status(thm)],[])).
% 12.24/12.41 tff(10624,plain,
% 12.24/12.41 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9)),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10623, 10622])).
% 12.24/12.41 tff(10625,plain,
% 12.24/12.41 (node159(c_s, s8, s9)),
% 12.24/12.41 inference(unit_resolution,[status(thm)],[10624, 52, 1260, 5508])).
% 12.24/12.41 tff(10626,plain,
% 12.24/12.41 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)))),
% 12.24/12.41 inference(bind,[status(th)],[])).
% 12.24/12.41 tff(10627,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(quant_intro,[status(thm)],[10626])).
% 12.24/12.41 tff(10628,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10629,plain,
% 12.24/12.41 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node150(J0, X) | node151(J0, X)) | node152(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_RRM(J0, X, c_counterclock))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1Mag(J0, X, c_on))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_angle(J0, X, c_arm2topress))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | m_state_v_RRM(J0, Y, c_idle)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))))),
% 12.24/12.41 inference(bind,[status(th)],[])).
% 12.24/12.41 tff(10630,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(quant_intro,[status(thm)],[10629])).
% 12.24/12.41 tff(10631,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_181')).
% 12.24/12.41 tff(10632,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10631, 10630])).
% 12.24/12.41 tff(10633,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10632, 10628])).
% 12.24/12.41 tff(10634,plain,(
% 12.24/12.41 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(skolemize,[status(sab)],[10633])).
% 12.24/12.41 tff(10635,plain,
% 12.24/12.41 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.24/12.41 inference(modus_ponens,[status(thm)],[10634, 10627])).
% 12.24/12.41 tff(10636,plain,
% 12.24/12.41 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10637,plain,
% 12.24/12.41 (((~m_state_v_a1ext(c_s, s8, c_retracted)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle)) <=> ((~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.24/12.41 inference(rewrite,[status(thm)],[])).
% 12.24/12.41 tff(10638,plain,
% 12.24/12.41 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s8, c_retracted)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted))))),
% 12.26/12.42 inference(monotonicity,[status(thm)],[10637])).
% 12.26/12.42 tff(10639,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s8, c_retracted)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.26/12.42 inference(transitivity,[status(thm)],[10638, 10636])).
% 12.26/12.42 tff(10640,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s8, c_retracted)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10641,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node159(c_s, s8, s9)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 12.26/12.42 tff(10642,plain,
% 12.26/12.42 ((~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_A1Mag(c_s, s8, c_on)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | node151(c_s, s8) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | node152(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10641, 10635, 10625])).
% 12.26/12.42 tff(10643,plain,
% 12.26/12.42 ((~m_state_v_angle(c_s, s8, c_arm2topress)) | node153(c_s, s8) | node150(c_s, s8) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10642, 10621, 10564, 10591, 10579, 10575, 10496])).
% 12.26/12.42 tff(10644,plain,
% 12.26/12.42 (m_state_v_RRM(c_s, s9, c_idle)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10643, 10230, 8832, 10363, 10352, 10348, 10211])).
% 12.26/12.42 tff(10645,plain,
% 12.26/12.42 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node161(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node161(c_s, s8)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10646,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node161(c_s, s8)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10647,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node161(c_s, s8))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 12.26/12.42 tff(10648,plain,
% 12.26/12.42 (~node161(c_s, s8)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10647, 2673, 9287])).
% 12.26/12.42 tff(10649,plain,
% 12.26/12.42 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node160(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node160(c_s, s8)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10650,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node160(c_s, s8)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10651,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node160(c_s, s8))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 12.26/12.42 tff(10652,plain,
% 12.26/12.42 (~node160(c_s, s8)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10651, 5770, 10571])).
% 12.26/12.42 tff(10653,plain,
% 12.26/12.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s8, s9))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10654,plain,
% 12.26/12.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s8, s9))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10655,plain,
% 12.26/12.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s8, s9)),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 12.26/12.42 tff(10656,plain,
% 12.26/12.42 (node163(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10655, 52, 2701, 5508])).
% 12.26/12.42 tff(10657,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10658,plain,
% 12.26/12.42 ((node161(c_s, s8) | node160(c_s, s8) | node162(c_s, s8, s9) | (~node163(c_s, s8, s9))) <=> (node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10659,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s8) | node160(c_s, s8) | node162(c_s, s8, s9) | (~node163(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9)))),
% 12.26/12.42 inference(monotonicity,[status(thm)],[10658])).
% 12.26/12.42 tff(10660,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s8) | node160(c_s, s8) | node162(c_s, s8, s9) | (~node163(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9))),
% 12.26/12.42 inference(transitivity,[status(thm)],[10659, 10657])).
% 12.26/12.42 tff(10661,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s8) | node160(c_s, s8) | node162(c_s, s8, s9) | (~node163(c_s, s8, s9)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10662,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s8) | node161(c_s, s8) | (~node163(c_s, s8, s9)) | node162(c_s, s8, s9)),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 12.26/12.42 tff(10663,plain,
% 12.26/12.42 (node160(c_s, s8) | node161(c_s, s8) | node162(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10662, 2715, 10656])).
% 12.26/12.42 tff(10664,plain,
% 12.26/12.42 (node161(c_s, s8) | node162(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10663, 10652])).
% 12.26/12.42 tff(10665,plain,
% 12.26/12.42 (node162(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10664, 10648])).
% 12.26/12.42 tff(10666,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s8)) | (~node162(c_s, s8, s9)) | m_state_v_pl(c_s, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s8)) | (~node162(c_s, s8, s9)) | m_state_v_pl(c_s, s9))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10667,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s8)) | (~node162(c_s, s8, s9)) | m_state_v_pl(c_s, s9))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10668,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s8)) | (~node162(c_s, s8, s9)) | m_state_v_pl(c_s, s9)),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10667, 10666])).
% 12.26/12.42 tff(10669,plain,
% 12.26/12.42 (m_state_v_pl(c_s, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10668, 2758, 10121, 10665])).
% 12.26/12.42 tff(10670,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10671,plain,
% 12.26/12.42 (((~node41(c_s, s8, s9)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | m_state_v_angle(c_s, s9, c_arm2topress)) <=> (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10672,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s8, s9)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | m_state_v_angle(c_s, s9, c_arm2topress))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9))))),
% 12.26/12.42 inference(monotonicity,[status(thm)],[10671])).
% 12.26/12.42 tff(10673,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s8, s9)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | m_state_v_angle(c_s, s9, c_arm2topress))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9)))),
% 12.26/12.42 inference(transitivity,[status(thm)],[10672, 10670])).
% 12.26/12.42 tff(10674,plain,
% 12.26/12.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s8, s9)) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | m_state_v_angle(c_s, s9, c_arm2topress))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10675,plain,
% 12.26/12.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s8, s9))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 12.26/12.42 tff(10676,plain,
% 12.26/12.42 (m_state_v_angle(c_s, s9, c_arm2topress)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10675, 1443, 8832, 9293])).
% 12.26/12.42 tff(10677,plain,
% 12.26/12.42 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node142(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node142(c_s, s8)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10678,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1totable) | (~node142(c_s, s8)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10679,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node142(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node142(c_s, s8))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 12.26/12.42 tff(10680,plain,
% 12.26/12.42 (~node142(c_s, s8)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10679, 9925, 8836])).
% 12.26/12.42 tff(10681,plain,
% 12.26/12.42 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node143(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node143(c_s, s8)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10682,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node143(c_s, s8)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10683,plain,
% 12.26/12.42 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node143(c_s, s8))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10682, 10681])).
% 12.26/12.42 tff(10684,plain,
% 12.26/12.42 (~node143(c_s, s8)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10683, 1027, 9287])).
% 12.26/12.42 tff(10685,plain,
% 12.26/12.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10686,plain,
% 12.26/12.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10687,plain,
% 12.26/12.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9)),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 12.26/12.42 tff(10688,plain,
% 12.26/12.42 (node145(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10687, 52, 810, 5508])).
% 12.26/12.42 tff(10689,plain,
% 12.26/12.42 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10690,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10691,plain,
% 12.26/12.42 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 12.26/12.42 tff(10692,plain,
% 12.26/12.42 (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10691, 998, 10688])).
% 12.26/12.42 tff(10693,plain,
% 12.26/12.42 (node144(c_s, s8, s9)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10692, 10684, 10680])).
% 12.26/12.42 tff(10694,assumption,(node144(c_s, s8, s9)), introduced(assumption)).
% 12.26/12.42 tff(10695,assumption,(m_state_v_A1Mag(c_s, s9, c_off)), introduced(assumption)).
% 12.26/12.42 tff(10696,assumption,(~m_state_v_A1Mag(c_s, s8, c_off)), introduced(assumption)).
% 12.26/12.42 tff(10697,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10698,plain,
% 12.26/12.42 (((~node144(c_s, s8, s9)) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off))) <=> (m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9)))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10699,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s8, s9)) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9))))),
% 12.26/12.42 inference(monotonicity,[status(thm)],[10698])).
% 12.26/12.42 tff(10700,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s8, s9)) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9)))),
% 12.26/12.42 inference(transitivity,[status(thm)],[10699, 10697])).
% 12.26/12.42 tff(10701,plain,
% 12.26/12.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s8, s9)) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10702,plain,
% 12.26/12.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9))),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 12.26/12.42 tff(10703,plain,
% 12.26/12.42 ($false),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10702, 1068, 10696, 10695, 10694])).
% 12.26/12.42 tff(10704,plain,(m_state_v_A1Mag(c_s, s8, c_off) | (~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.42 tff(10705,plain,
% 12.26/12.42 ((~m_state_v_A1Mag(c_s, s9, c_off)) | (~node144(c_s, s8, s9))),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10704, 10150])).
% 12.26/12.42 tff(10706,plain,
% 12.26/12.42 (~m_state_v_A1Mag(c_s, s9, c_off)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10705, 10693])).
% 12.26/12.42 tff(10707,plain,
% 12.26/12.42 (((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s9, c_off) | m_state_v_A1Mag(c_s, s9, c_on))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s9, c_off) | m_state_v_A1Mag(c_s, s9, c_on))),
% 12.26/12.42 inference(rewrite,[status(thm)],[])).
% 12.26/12.42 tff(10708,plain,
% 12.26/12.42 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | (m_state_v_A1Mag(c_s, s9, c_off) | m_state_v_A1Mag(c_s, s9, c_on))),
% 12.26/12.42 inference(quant_inst,[status(thm)],[])).
% 12.26/12.42 tff(10709,plain,
% 12.26/12.42 ((~![I0: $i, X: $i] : (m_state_v_A1Mag(I0, X, c_off) | m_state_v_A1Mag(I0, X, c_on))) | m_state_v_A1Mag(c_s, s9, c_off) | m_state_v_A1Mag(c_s, s9, c_on)),
% 12.26/12.42 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 12.26/12.42 tff(10710,plain,
% 12.26/12.42 (m_state_v_A1Mag(c_s, s9, c_off) | m_state_v_A1Mag(c_s, s9, c_on)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10709, 9906])).
% 12.26/12.42 tff(10711,plain,
% 12.26/12.42 (m_state_v_A1Mag(c_s, s9, c_on)),
% 12.26/12.42 inference(unit_resolution,[status(thm)],[10710, 10706])).
% 12.26/12.42 tff(10712,plain,
% 12.26/12.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10713,plain,
% 12.26/12.43 (((~node158(c_s, s7, s8)) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle))) <=> (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10714,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s7, s8)) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8))))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10713])).
% 12.26/12.43 tff(10715,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s7, s8)) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8)))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10714, 10712])).
% 12.26/12.43 tff(10716,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s7, s8)) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10717,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s7, c_idle) | (~m_state_v_RRM(c_s, s8, c_idle)) | (~node158(c_s, s7, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 12.26/12.43 tff(10718,plain,
% 12.26/12.43 (~m_state_v_RRM(c_s, s8, c_idle)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10717, 1393, 5523, 10340])).
% 12.26/12.43 tff(10719,plain,
% 12.26/12.43 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))))),
% 12.26/12.43 inference(bind,[status(th)],[])).
% 12.26/12.43 tff(10720,plain,
% 12.26/12.43 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.26/12.43 inference(quant_intro,[status(thm)],[10719])).
% 12.26/12.43 tff(10721,plain,
% 12.26/12.43 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10722,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_58')).
% 12.26/12.43 tff(10723,plain,
% 12.26/12.43 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 12.26/12.43 tff(10724,plain,(
% 12.26/12.43 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.26/12.43 inference(skolemize,[status(sab)],[10723])).
% 12.26/12.43 tff(10725,plain,
% 12.26/12.43 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10724, 10720])).
% 12.26/12.43 tff(10726,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10727,plain,
% 12.26/12.43 ((m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8))) <=> ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10728,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle)))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10727])).
% 12.26/12.43 tff(10729,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10728, 10726])).
% 12.26/12.43 tff(10730,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10731,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 12.26/12.43 tff(10732,plain,
% 12.26/12.43 (~node132(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10731, 10725, 10718])).
% 12.26/12.43 tff(10733,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10734,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10735,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 12.26/12.43 tff(10736,plain,
% 12.26/12.43 (~node138(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10735, 560, 10571])).
% 12.26/12.43 tff(10737,plain,
% 12.26/12.43 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s7, c_ob)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s7, c_ob)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10738,plain,
% 12.26/12.43 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s7, c_ob)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10739,plain,
% 12.26/12.43 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s7, c_ob)) | (~m_state_v_a2ext(c_s, s7, c_retracted))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 12.26/12.43 tff(10740,plain,
% 12.26/12.43 (~m_state_v_a2ext(c_s, s7, c_ob)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10739, 732, 10448])).
% 12.26/12.43 tff(10741,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10742,plain,
% 12.26/12.43 (((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob))) <=> (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10743,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8))))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10742])).
% 12.26/12.43 tff(10744,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10743, 10741])).
% 12.26/12.43 tff(10745,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10746,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 12.26/12.43 tff(10747,plain,
% 12.26/12.43 (~m_state_v_a2ext(c_s, s8, c_ob)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10746, 5005, 10740, 10484])).
% 12.26/12.43 tff(10748,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10749,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10750,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 12.26/12.43 tff(10751,plain,
% 12.26/12.43 (~node135(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10750, 746, 10747])).
% 12.26/12.43 tff(10752,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10753,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10754,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 12.26/12.43 tff(10755,plain,
% 12.26/12.43 (~node139(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10754, 549, 10571])).
% 12.26/12.43 tff(10756,plain,
% 12.26/12.43 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s7, c_a2ip)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s7, c_a2ip)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10757,plain,
% 12.26/12.43 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s7, c_a2ip)) | (~m_state_v_a2ext(c_s, s7, c_retracted)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10758,plain,
% 12.26/12.43 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s7, c_a2ip)) | (~m_state_v_a2ext(c_s, s7, c_retracted))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 12.26/12.43 tff(10759,plain,
% 12.26/12.43 (~m_state_v_a2ext(c_s, s7, c_a2ip)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10758, 768, 10448])).
% 12.26/12.43 tff(10760,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10761,plain,
% 12.26/12.43 (((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip))) <=> (m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10762,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8))))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10761])).
% 12.26/12.43 tff(10763,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8)))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10762, 10760])).
% 12.26/12.43 tff(10764,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10765,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_a2ip) | (~m_state_v_a2ext(c_s, s8, c_a2ip)) | (~node35(c_s, s7, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 12.26/12.43 tff(10766,plain,
% 12.26/12.43 (~m_state_v_a2ext(c_s, s8, c_a2ip)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10765, 5005, 10759, 10484])).
% 12.26/12.43 tff(10767,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_a2ip))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10768,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_a2ip))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10769,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_a2ip)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 12.26/12.43 tff(10770,plain,
% 12.26/12.43 (~node134(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10769, 782, 10766])).
% 12.26/12.43 tff(10771,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_a2ip) | (~node136(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s8, c_a2ip) | (~node136(c_s, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10772,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_a2ip) | (~node136(c_s, s8)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10773,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s8, c_a2ip) | (~node136(c_s, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10772, 10771])).
% 12.26/12.43 tff(10774,plain,
% 12.26/12.43 (~node136(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10773, 5019, 10766])).
% 12.26/12.43 tff(10775,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10776,plain,
% 12.26/12.43 ((m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8))) <=> ((~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10777,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | ((~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob)))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10776])).
% 12.26/12.43 tff(10778,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10777, 10775])).
% 12.26/12.43 tff(10779,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10780,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (~node137(c_s, s8)) | m_state_v_a2ext(c_s, s8, c_ob)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 12.26/12.43 tff(10781,plain,
% 12.26/12.43 (~node137(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10780, 757, 10747])).
% 12.26/12.43 tff(10782,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10783,plain,
% 12.26/12.43 (((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on))) <=> (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10784,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8))))),
% 12.26/12.43 inference(monotonicity,[status(thm)],[10783])).
% 12.26/12.43 tff(10785,plain,
% 12.26/12.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.26/12.43 inference(transitivity,[status(thm)],[10784, 10782])).
% 12.26/12.43 tff(10786,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10787,plain,
% 12.26/12.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8))),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 12.26/12.43 tff(10788,plain,
% 12.26/12.43 (~m_state_v_A2Mag(c_s, s8, c_on)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10787, 464, 10322, 10608])).
% 12.26/12.43 tff(10789,plain,
% 12.26/12.43 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10790,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10791,plain,
% 12.26/12.43 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 12.26/12.43 tff(10792,plain,
% 12.26/12.43 (~node133(c_s, s8)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10791, 493, 10788])).
% 12.26/12.43 tff(10793,plain,
% 12.26/12.43 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10794,plain,
% 12.26/12.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))),
% 12.26/12.43 inference(quant_inst,[status(thm)],[])).
% 12.26/12.43 tff(10795,plain,
% 12.26/12.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9)),
% 12.26/12.43 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 12.26/12.43 tff(10796,plain,
% 12.26/12.43 (node141(c_s, s8, s9)),
% 12.26/12.43 inference(unit_resolution,[status(thm)],[10795, 52, 49, 5508])).
% 12.26/12.43 tff(10797,plain,
% 12.26/12.43 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10798,plain,
% 12.26/12.43 ((node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9))) <=> (node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))),
% 12.26/12.43 inference(rewrite,[status(thm)],[])).
% 12.26/12.43 tff(10799,plain,
% 12.26/12.43 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9))))),
% 12.26/12.44 inference(monotonicity,[status(thm)],[10798])).
% 12.26/12.44 tff(10800,plain,
% 12.26/12.44 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))),
% 12.26/12.44 inference(transitivity,[status(thm)],[10799, 10797])).
% 12.26/12.44 tff(10801,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10802,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10801, 10800])).
% 12.26/12.44 tff(10803,plain,
% 12.26/12.44 (node133(c_s, s8) | node137(c_s, s8) | node132(c_s, s8) | node138(c_s, s8) | node136(c_s, s8) | node134(c_s, s8) | node139(c_s, s8) | node135(c_s, s8) | node140(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10802, 185, 10796])).
% 12.26/12.44 tff(10804,plain,
% 12.26/12.44 (node132(c_s, s8) | node140(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10803, 10792, 10781, 10774, 10770, 10755, 10751, 10736])).
% 12.26/12.44 tff(10805,plain,
% 12.26/12.44 (node140(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10804, 10732])).
% 12.26/12.44 tff(10806,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10807,plain,
% 12.26/12.44 (((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle)) <=> (m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10808,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9))))),
% 12.26/12.44 inference(monotonicity,[status(thm)],[10807])).
% 12.26/12.44 tff(10809,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9)))),
% 12.26/12.44 inference(transitivity,[status(thm)],[10808, 10806])).
% 12.26/12.44 tff(10810,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10811,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s9, c_idle) | (~m_state_v_A2M(c_s, s8, c_idle)) | (~node140(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 12.26/12.44 tff(10812,plain,
% 12.26/12.44 (m_state_v_A2M(c_s, s9, c_idle)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10811, 211, 10564, 10805])).
% 12.26/12.44 tff(10813,plain,
% 12.26/12.44 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_extend)) | (~m_state_v_A2M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s8, c_extend)) | (~m_state_v_A2M(c_s, s8, c_idle)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10814,plain,
% 12.26/12.44 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s8, c_extend)) | (~m_state_v_A2M(c_s, s8, c_idle)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10815,plain,
% 12.26/12.44 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s8, c_extend)) | (~m_state_v_A2M(c_s, s8, c_idle))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 12.26/12.44 tff(10816,plain,
% 12.26/12.44 (~m_state_v_A2M(c_s, s8, c_extend)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10815, 670, 10564])).
% 12.26/12.44 tff(10817,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10818,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10819,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 12.26/12.44 tff(10820,plain,
% 12.26/12.44 (~node34(c_s, s8)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10819, 4077, 10816])).
% 12.26/12.44 tff(10821,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10822,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10823,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend)),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 12.26/12.44 tff(10824,plain,
% 12.26/12.44 (~node33(c_s, s8)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10823, 684, 10816])).
% 12.26/12.44 tff(10825,plain,
% 12.26/12.44 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10826,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10827,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9)),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 12.26/12.44 tff(10828,plain,
% 12.26/12.44 (node36(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10827, 28, 575, 5508])).
% 12.26/12.44 tff(10829,plain,
% 12.26/12.44 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10830,plain,
% 12.26/12.44 ((m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))) <=> (node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10831,plain,
% 12.26/12.44 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))))),
% 12.26/12.44 inference(monotonicity,[status(thm)],[10830])).
% 12.26/12.44 tff(10832,plain,
% 12.26/12.44 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.26/12.44 inference(transitivity,[status(thm)],[10831, 10829])).
% 12.26/12.44 tff(10833,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10834,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10833, 10832])).
% 12.26/12.44 tff(10835,plain,
% 12.26/12.44 (node33(c_s, s8) | m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node35(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10834, 632, 10828])).
% 12.26/12.44 tff(10836,plain,
% 12.26/12.44 (node35(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10835, 10824, 10571, 10820])).
% 12.26/12.44 tff(10837,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10838,plain,
% 12.26/12.44 (((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10839,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9))))),
% 12.26/12.44 inference(monotonicity,[status(thm)],[10838])).
% 12.26/12.44 tff(10840,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.26/12.44 inference(transitivity,[status(thm)],[10839, 10837])).
% 12.26/12.44 tff(10841,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10842,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10841, 10840])).
% 12.26/12.44 tff(10843,plain,
% 12.26/12.44 (m_state_v_a2ext(c_s, s9, c_retracted)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10842, 708, 10496, 10836])).
% 12.26/12.44 tff(10844,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node147(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s8, c_ob) | (~node147(c_s, s8)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10845,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node147(c_s, s8)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10846,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s8, c_ob) | (~node147(c_s, s8))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 12.26/12.44 tff(10847,plain,
% 12.26/12.44 (~node147(c_s, s8)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10846, 1209, 10747])).
% 12.26/12.44 tff(10848,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_a2ip) | (~node146(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s8, c_a2ip) | (~node146(c_s, s8)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10849,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_a2ip) | (~node146(c_s, s8)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10850,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s8, c_a2ip) | (~node146(c_s, s8))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 12.26/12.44 tff(10851,plain,
% 12.26/12.44 (~node146(c_s, s8)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10850, 1198, 10766])).
% 12.26/12.44 tff(10852,plain,
% 12.26/12.44 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10853,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10854,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9)),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10853, 10852])).
% 12.26/12.44 tff(10855,plain,
% 12.26/12.44 (node149(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10854, 52, 388, 5508])).
% 12.26/12.44 tff(10856,plain,
% 12.26/12.44 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10857,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10858,plain,
% 12.26/12.44 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 12.26/12.44 tff(10859,plain,
% 12.26/12.44 (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10858, 424, 10855])).
% 12.26/12.44 tff(10860,plain,
% 12.26/12.44 (node148(c_s, s8, s9)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10859, 10851, 10847])).
% 12.26/12.44 tff(10861,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10862,plain,
% 12.26/12.44 (((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off)) <=> ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10863,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9))))),
% 12.26/12.44 inference(monotonicity,[status(thm)],[10862])).
% 12.26/12.44 tff(10864,plain,
% 12.26/12.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.26/12.44 inference(transitivity,[status(thm)],[10863, 10861])).
% 12.26/12.44 tff(10865,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10866,plain,
% 12.26/12.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 12.26/12.44 tff(10867,plain,
% 12.26/12.44 (m_state_v_A2Mag(c_s, s9, c_off)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10866, 2535, 10621, 10860])).
% 12.26/12.44 tff(10868,plain,
% 12.26/12.44 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_idle)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10869,plain,
% 12.26/12.44 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_idle)))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10870,plain,
% 12.26/12.44 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | (~m_state_v_A2M(c_s, s6, c_idle))),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 12.26/12.44 tff(10871,plain,
% 12.26/12.44 (~m_state_v_A2M(c_s, s6, c_extend)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10870, 670, 10455])).
% 12.26/12.44 tff(10872,plain,
% 12.26/12.44 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10873,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10874,plain,
% 12.26/12.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3)),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 12.26/12.44 tff(10875,plain,
% 12.26/12.44 (node52(c_s, s2, s3)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10874, 28, 3089, 794])).
% 12.26/12.44 tff(10876,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10877,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))),
% 12.26/12.44 inference(quant_inst,[status(thm)],[])).
% 12.26/12.44 tff(10878,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid)),
% 12.26/12.44 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 12.26/12.44 tff(10879,plain,
% 12.26/12.44 (~node50(c_s, s2)),
% 12.26/12.44 inference(unit_resolution,[status(thm)],[10878, 3103, 3398])).
% 12.26/12.44 tff(10880,plain,
% 12.26/12.44 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))),
% 12.26/12.44 inference(rewrite,[status(thm)],[])).
% 12.26/12.44 tff(10881,plain,
% 12.26/12.44 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10882,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10881, 10880])).
% 12.26/12.45 tff(10883,plain,
% 12.26/12.45 (~node49(c_s, s2)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10882, 3114, 3511])).
% 12.26/12.45 tff(10884,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10885,plain,
% 12.26/12.45 ((node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3))) <=> (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10886,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3)))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10885])).
% 12.26/12.45 tff(10887,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10886, 10884])).
% 12.26/12.45 tff(10888,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10889,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3)),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 12.26/12.45 tff(10890,plain,
% 12.26/12.45 (node51(c_s, s2, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10889, 3128, 10883, 10879, 10875])).
% 12.26/12.45 tff(10891,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10892,plain,
% 12.26/12.45 ((m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3))) <=> (m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10893,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3))))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10892])).
% 12.26/12.45 tff(10894,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3)))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10893, 10891])).
% 12.26/12.45 tff(10895,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10896,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s2) | (~m_state_v_topPosP(c_s, s3)) | (~node51(c_s, s2, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 12.26/12.45 tff(10897,plain,
% 12.26/12.45 (~m_state_v_topPosP(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10896, 3142, 3511, 10890])).
% 12.26/12.45 tff(10898,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10899,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10900,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid)),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 12.26/12.45 tff(10901,plain,
% 12.26/12.45 (~node50(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10900, 3103, 3571])).
% 12.26/12.45 tff(10902,plain,
% 12.26/12.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10903,plain,
% 12.26/12.45 (((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down))) <=> (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10904,plain,
% 12.26/12.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3))))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10903])).
% 12.26/12.45 tff(10905,plain,
% 12.26/12.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10904, 10902])).
% 12.26/12.45 tff(10906,plain,
% 12.26/12.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10907,plain,
% 12.26/12.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 12.26/12.45 tff(10908,plain,
% 12.26/12.45 (~m_state_v_PM(c_s, s3, c_down)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10907, 3041, 5614, 5658])).
% 12.26/12.45 tff(10909,plain,
% 12.26/12.45 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))))),
% 12.26/12.45 inference(bind,[status(th)],[])).
% 12.26/12.45 tff(10910,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 12.26/12.45 inference(quant_intro,[status(thm)],[10909])).
% 12.26/12.45 tff(10911,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10912,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_95')).
% 12.26/12.45 tff(10913,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 12.26/12.45 tff(10914,plain,(
% 12.26/12.45 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 12.26/12.45 inference(skolemize,[status(sab)],[10913])).
% 12.26/12.45 tff(10915,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10914, 10910])).
% 12.26/12.45 tff(10916,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node49(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node49(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10917,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node49(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10918,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node49(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 12.26/12.45 tff(10919,plain,
% 12.26/12.45 (~node49(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10918, 10915, 10908])).
% 12.26/12.45 tff(10920,plain,
% 12.26/12.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10921,plain,
% 12.26/12.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10922,plain,
% 12.26/12.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4)),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 12.26/12.45 tff(10923,plain,
% 12.26/12.45 (node52(c_s, s3, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10922, 28, 3089, 1179])).
% 12.26/12.45 tff(10924,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10925,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10926,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10925, 10924])).
% 12.26/12.45 tff(10927,plain,
% 12.26/12.45 (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10926, 3128, 10923])).
% 12.26/12.45 tff(10928,plain,
% 12.26/12.45 (node51(c_s, s3, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10927, 10919, 10901])).
% 12.26/12.45 tff(10929,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10930,plain,
% 12.26/12.45 ((m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4))) <=> (m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10931,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4))))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10930])).
% 12.26/12.45 tff(10932,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4)))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10931, 10929])).
% 12.26/12.45 tff(10933,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10934,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4)) | (~node51(c_s, s3, s4))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10933, 10932])).
% 12.26/12.45 tff(10935,plain,
% 12.26/12.45 (m_state_v_topPosP(c_s, s3) | (~m_state_v_topPosP(c_s, s4))),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10934, 3142, 10928])).
% 12.26/12.45 tff(10936,plain,
% 12.26/12.45 (~m_state_v_topPosP(c_s, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10935, 10897])).
% 12.26/12.45 tff(10937,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10938,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10939,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 12.26/12.45 tff(10940,plain,
% 12.26/12.45 (~node118(c_s, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10939, 3007, 10936])).
% 12.26/12.45 tff(10941,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10942,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10943,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10942, 10941])).
% 12.26/12.45 tff(10944,plain,
% 12.26/12.45 (~node117(c_s, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10943, 2996, 10936])).
% 12.26/12.45 tff(10945,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node118(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node118(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10946,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node118(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10947,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node118(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 12.26/12.45 tff(10948,plain,
% 12.26/12.45 (~node118(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10947, 3007, 10897])).
% 12.26/12.45 tff(10949,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10950,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10951,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 12.26/12.45 tff(10952,plain,
% 12.26/12.45 (~node114(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10951, 2932, 5830])).
% 12.26/12.45 tff(10953,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10954,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10955,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 12.26/12.45 tff(10956,plain,
% 12.26/12.45 (~node115(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10955, 2954, 5665])).
% 12.26/12.45 tff(10957,plain,
% 12.26/12.45 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))))),
% 12.26/12.45 inference(bind,[status(th)],[])).
% 12.26/12.45 tff(10958,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 12.26/12.45 inference(quant_intro,[status(thm)],[10957])).
% 12.26/12.45 tff(10959,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10960,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_11')).
% 12.26/12.45 tff(10961,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10960, 10959])).
% 12.26/12.45 tff(10962,plain,(
% 12.26/12.45 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 12.26/12.45 inference(skolemize,[status(sab)],[10961])).
% 12.26/12.45 tff(10963,plain,
% 12.26/12.45 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10962, 10958])).
% 12.26/12.45 tff(10964,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node117(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node117(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10965,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node117(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10966,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node117(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 12.26/12.45 tff(10967,plain,
% 12.26/12.45 (~node117(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10966, 10963, 5665])).
% 12.26/12.45 tff(10968,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10969,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10970,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10969, 10968])).
% 12.26/12.45 tff(10971,plain,
% 12.26/12.45 (~node119(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10970, 2976, 10908])).
% 12.26/12.45 tff(10972,plain,
% 12.26/12.45 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10973,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10974,plain,
% 12.26/12.45 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 12.26/12.45 tff(10975,plain,
% 12.26/12.45 (~node116(c_s, s3)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10974, 2943, 3621])).
% 12.26/12.45 tff(10976,plain,
% 12.26/12.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10977,plain,
% 12.26/12.45 (((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10978,plain,
% 12.26/12.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4)))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10977])).
% 12.26/12.45 tff(10979,plain,
% 12.26/12.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10978, 10976])).
% 12.26/12.45 tff(10980,plain,
% 12.26/12.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10981,plain,
% 12.26/12.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4)),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 12.26/12.45 tff(10982,plain,
% 12.26/12.45 (node121(c_s, s3, s4)),
% 12.26/12.45 inference(unit_resolution,[status(thm)],[10981, 2918, 2915, 1179])).
% 12.26/12.45 tff(10983,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10984,plain,
% 12.26/12.45 ((node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4))) <=> (node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))),
% 12.26/12.45 inference(rewrite,[status(thm)],[])).
% 12.26/12.45 tff(10985,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4))))),
% 12.26/12.45 inference(monotonicity,[status(thm)],[10984])).
% 12.26/12.45 tff(10986,plain,
% 12.26/12.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))),
% 12.26/12.45 inference(transitivity,[status(thm)],[10985, 10983])).
% 12.26/12.45 tff(10987,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))),
% 12.26/12.45 inference(quant_inst,[status(thm)],[])).
% 12.26/12.45 tff(10988,plain,
% 12.26/12.45 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4))),
% 12.26/12.45 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 12.26/12.45 tff(10989,plain,
% 12.26/12.45 (node114(c_s, s3) | node118(c_s, s3) | node116(c_s, s3) | node119(c_s, s3) | node117(c_s, s3) | node115(c_s, s3) | node120(c_s, s3, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[10988, 3024, 10982])).
% 12.26/12.46 tff(10990,plain,
% 12.26/12.46 (node114(c_s, s3) | node118(c_s, s3) | node120(c_s, s3, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[10989, 10975, 10971, 10967, 10956])).
% 12.26/12.46 tff(10991,plain,
% 12.26/12.46 (node118(c_s, s3) | node120(c_s, s3, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[10990, 10952])).
% 12.26/12.46 tff(10992,plain,
% 12.26/12.46 (node120(c_s, s3, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[10991, 10948])).
% 12.26/12.46 tff(10993,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(10994,plain,
% 12.26/12.46 (((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down))) <=> (m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(10995,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4))))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[10994])).
% 12.26/12.46 tff(10996,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(transitivity,[status(thm)],[10995, 10993])).
% 12.26/12.46 tff(10997,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(10998,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)) | (~node120(c_s, s3, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 12.26/12.46 tff(10999,plain,
% 12.26/12.46 (~m_state_v_PM(c_s, s4, c_down)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[10998, 3041, 10908, 10992])).
% 12.26/12.46 tff(11000,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | ((~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11001,plain,
% 12.26/12.46 ((m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4))) <=> ((~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11002,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | ((~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down)))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[11001])).
% 12.26/12.46 tff(11003,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down))),
% 12.26/12.46 inference(transitivity,[status(thm)],[11002, 11000])).
% 12.26/12.46 tff(11004,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11005,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (~node119(c_s, s4)) | m_state_v_PM(c_s, s4, c_down)),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11004, 11003])).
% 12.26/12.46 tff(11006,plain,
% 12.26/12.46 (~node119(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11005, 2976, 10999])).
% 12.26/12.46 tff(11007,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11008,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11009,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 12.26/12.46 tff(11010,plain,
% 12.26/12.46 (~node114(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11009, 2932, 5834])).
% 12.26/12.46 tff(11011,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11012,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11013,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 12.26/12.46 tff(11014,plain,
% 12.26/12.46 (~node115(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11013, 3071, 5688])).
% 12.26/12.46 tff(11015,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11016,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11017,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11016, 11015])).
% 12.26/12.46 tff(11018,plain,
% 12.26/12.46 (~node116(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11017, 2943, 5688])).
% 12.26/12.46 tff(11019,plain,
% 12.26/12.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11020,plain,
% 12.26/12.46 (((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11021,plain,
% 12.26/12.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5)))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[11020])).
% 12.26/12.46 tff(11022,plain,
% 12.26/12.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.26/12.46 inference(transitivity,[status(thm)],[11021, 11019])).
% 12.26/12.46 tff(11023,plain,
% 12.26/12.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11024,plain,
% 12.26/12.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5)),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 12.26/12.46 tff(11025,plain,
% 12.26/12.46 (node121(c_s, s4, s5)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11024, 2918, 2915, 4253])).
% 12.26/12.46 tff(11026,plain,
% 12.26/12.46 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11027,plain,
% 12.26/12.46 ((node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5))) <=> (node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11028,plain,
% 12.26/12.46 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5))))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[11027])).
% 12.26/12.46 tff(11029,plain,
% 12.26/12.46 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))),
% 12.26/12.46 inference(transitivity,[status(thm)],[11028, 11026])).
% 12.26/12.46 tff(11030,plain,
% 12.26/12.46 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11031,plain,
% 12.26/12.46 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11030, 11029])).
% 12.26/12.46 tff(11032,plain,
% 12.26/12.46 (node119(c_s, s4) | node118(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11031, 3024, 11025])).
% 12.26/12.46 tff(11033,plain,
% 12.26/12.46 (node119(c_s, s4) | node118(c_s, s4) | node117(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11032, 11018, 11014])).
% 12.26/12.46 tff(11034,plain,
% 12.26/12.46 (node119(c_s, s4) | node118(c_s, s4) | node117(c_s, s4) | node120(c_s, s4, s5)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11033, 11010])).
% 12.26/12.46 tff(11035,plain,
% 12.26/12.46 (node120(c_s, s4, s5)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11034, 11006, 10944, 10940])).
% 12.26/12.46 tff(11036,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11037,plain,
% 12.26/12.46 (((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up))) <=> (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11038,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4))))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[11037])).
% 12.26/12.46 tff(11039,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.26/12.46 inference(transitivity,[status(thm)],[11038, 11036])).
% 12.26/12.46 tff(11040,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11041,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 12.26/12.46 tff(11042,plain,
% 12.26/12.46 (~m_state_v_PM(c_s, s4, c_up)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11041, 3041, 5665, 10992])).
% 12.26/12.46 tff(11043,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11044,plain,
% 12.26/12.46 (((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up))) <=> ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11045,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5))))),
% 12.26/12.46 inference(monotonicity,[status(thm)],[11044])).
% 12.26/12.46 tff(11046,plain,
% 12.26/12.46 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.26/12.46 inference(transitivity,[status(thm)],[11045, 11043])).
% 12.26/12.46 tff(11047,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11048,plain,
% 12.26/12.46 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11047, 11046])).
% 12.26/12.46 tff(11049,plain,
% 12.26/12.46 (~m_state_v_PM(c_s, s5, c_up)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11048, 3041, 11042, 11035])).
% 12.26/12.46 tff(11050,assumption,(~m_state_v_PM(c_s, s4, c_down)), introduced(assumption)).
% 12.26/12.46 tff(11051,assumption,(~node117(c_s, s4)), introduced(assumption)).
% 12.26/12.46 tff(11052,assumption,(m_state_v_PM(c_s, s5, c_down)), introduced(assumption)).
% 12.26/12.46 tff(11053,plain,
% 12.26/12.46 (^[I0: $i, X: $i] : refl(((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up))) <=> ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up))))),
% 12.26/12.46 inference(bind,[status(th)],[])).
% 12.26/12.46 tff(11054,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(quant_intro,[status(thm)],[11053])).
% 12.26/12.46 tff(11055,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11056,plain,
% 12.26/12.46 (^[I0: $i, X: $i] : rewrite(((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_down))) <=> ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up))))),
% 12.26/12.46 inference(bind,[status(th)],[])).
% 12.26/12.46 tff(11057,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_down))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(quant_intro,[status(thm)],[11056])).
% 12.26/12.46 tff(11058,axiom,(![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_down)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_28')).
% 12.26/12.46 tff(11059,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 12.26/12.46 tff(11060,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11059, 11055])).
% 12.26/12.46 tff(11061,plain,(
% 12.26/12.46 ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(skolemize,[status(sab)],[11060])).
% 12.26/12.46 tff(11062,plain,
% 12.26/12.46 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11061, 11054])).
% 12.26/12.46 tff(11063,plain,
% 12.26/12.46 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | ((~m_state_v_PM(c_s, s5, c_down)) | (~m_state_v_PM(c_s, s5, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | (~m_state_v_PM(c_s, s5, c_down)) | (~m_state_v_PM(c_s, s5, c_up)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11064,plain,
% 12.26/12.46 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | ((~m_state_v_PM(c_s, s5, c_down)) | (~m_state_v_PM(c_s, s5, c_up)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11065,plain,
% 12.26/12.46 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | (~m_state_v_PM(c_s, s5, c_down)) | (~m_state_v_PM(c_s, s5, c_up))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11064, 11063])).
% 12.26/12.46 tff(11066,plain,
% 12.26/12.46 (~m_state_v_PM(c_s, s5, c_up)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11065, 11062, 11052])).
% 12.26/12.46 tff(11067,assumption,(node114(c_s, s4)), introduced(assumption)).
% 12.26/12.46 tff(11068,plain,
% 12.26/12.46 (^[X: $i, J0: $i] : refl((m_state_v_botPosP(J0, X) | (~node114(J0, X))) <=> (m_state_v_botPosP(J0, X) | (~node114(J0, X))))),
% 12.26/12.46 inference(bind,[status(th)],[])).
% 12.26/12.46 tff(11069,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))),
% 12.26/12.46 inference(quant_intro,[status(thm)],[11068])).
% 12.26/12.46 tff(11070,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11071,axiom,(![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_1')).
% 12.26/12.46 tff(11072,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 12.26/12.46 tff(11073,plain,(
% 12.26/12.46 ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))),
% 12.26/12.46 inference(skolemize,[status(sab)],[11072])).
% 12.26/12.46 tff(11074,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11073, 11069])).
% 12.26/12.46 tff(11075,plain,
% 12.26/12.46 (((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))) | (m_state_v_botPosP(c_s, s4) | (~node114(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))) | m_state_v_botPosP(c_s, s4) | (~node114(c_s, s4)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11076,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))) | (m_state_v_botPosP(c_s, s4) | (~node114(c_s, s4)))),
% 12.26/12.46 inference(quant_inst,[status(thm)],[])).
% 12.26/12.46 tff(11077,plain,
% 12.26/12.46 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node114(J0, X)))) | m_state_v_botPosP(c_s, s4) | (~node114(c_s, s4))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 12.26/12.46 tff(11078,plain,
% 12.26/12.46 (m_state_v_botPosP(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11077, 11074, 11067])).
% 12.26/12.46 tff(11079,assumption,(~m_state_v_PM(c_s, s5, c_up)), introduced(assumption)).
% 12.26/12.46 tff(11080,plain,
% 12.26/12.46 (~m_state_v_pl(c_s, s4)),
% 12.26/12.46 inference(unit_resolution,[status(thm)],[11009, 2932, 11067])).
% 12.26/12.46 tff(11081,plain,
% 12.26/12.46 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_idle) | (~node114(J0, X))) <=> (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X))))),
% 12.26/12.46 inference(bind,[status(th)],[])).
% 12.26/12.46 tff(11082,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))),
% 12.26/12.46 inference(quant_intro,[status(thm)],[11081])).
% 12.26/12.46 tff(11083,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))),
% 12.26/12.46 inference(rewrite,[status(thm)],[])).
% 12.26/12.46 tff(11084,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_2')).
% 12.26/12.46 tff(11085,plain,
% 12.26/12.46 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))),
% 12.26/12.46 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 12.26/12.47 tff(11086,plain,(
% 12.26/12.47 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))),
% 12.26/12.47 inference(skolemize,[status(sab)],[11085])).
% 12.26/12.47 tff(11087,plain,
% 12.26/12.47 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11086, 11082])).
% 12.26/12.47 tff(11088,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))) | (m_state_v_PM(c_s, s4, c_idle) | (~node114(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))) | m_state_v_PM(c_s, s4, c_idle) | (~node114(c_s, s4)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11089,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))) | (m_state_v_PM(c_s, s4, c_idle) | (~node114(c_s, s4)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11090,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node114(J0, X)))) | m_state_v_PM(c_s, s4, c_idle) | (~node114(c_s, s4))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 12.26/12.47 tff(11091,plain,
% 12.26/12.47 (m_state_v_PM(c_s, s4, c_idle)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11090, 11087, 11067])).
% 12.26/12.47 tff(11092,plain,
% 12.26/12.47 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up)) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up)))),
% 12.26/12.47 inference(bind,[status(th)],[])).
% 12.26/12.47 tff(11093,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(quant_intro,[status(thm)],[11092])).
% 12.26/12.47 tff(11094,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11095,plain,
% 12.26/12.47 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)))), (((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) <=> (((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_PM(J0, Y, c_up)))), rewrite((((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_PM(J0, Y, c_up)) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_PM(J0, Y, c_up))), (((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_PM(J0, Y, c_up)))), ((((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y))) <=> (((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y))))), rewrite((((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))), ((((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))))),
% 12.26/12.47 inference(bind,[status(th)],[])).
% 12.26/12.47 tff(11096,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(quant_intro,[status(thm)],[11095])).
% 12.26/12.47 tff(11097,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_botPosP(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_pl(J0, X)) | m_state_v_PM(J0, Y, c_up)) | (~node121(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Press_20')).
% 12.26/12.47 tff(11098,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 12.26/12.47 tff(11099,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11098, 11094])).
% 12.26/12.47 tff(11100,plain,(
% 12.26/12.47 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(skolemize,[status(sab)],[11099])).
% 12.26/12.47 tff(11101,plain,
% 12.26/12.47 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11100, 11093])).
% 12.26/12.47 tff(11102,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | ((~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11103,plain,
% 12.26/12.47 (((~m_state_v_botPosP(c_s, s4)) | m_state_v_pl(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | (~node121(c_s, s4, s5)) | m_state_v_PM(c_s, s5, c_up)) <=> ((~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11104,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | ((~m_state_v_botPosP(c_s, s4)) | m_state_v_pl(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | (~node121(c_s, s4, s5)) | m_state_v_PM(c_s, s5, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | ((~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5))))),
% 12.26/12.47 inference(monotonicity,[status(thm)],[11103])).
% 12.26/12.47 tff(11105,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | ((~m_state_v_botPosP(c_s, s4)) | m_state_v_pl(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | (~node121(c_s, s4, s5)) | m_state_v_PM(c_s, s5, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5)))),
% 12.26/12.47 inference(transitivity,[status(thm)],[11104, 11102])).
% 12.26/12.47 tff(11106,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | ((~m_state_v_botPosP(c_s, s4)) | m_state_v_pl(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | (~node121(c_s, s4, s5)) | m_state_v_PM(c_s, s5, c_up))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11107,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | m_state_v_pl(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | (~node121(J0, X, Y)) | m_state_v_PM(J0, Y, c_up))) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4)) | (~node121(c_s, s4, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 12.26/12.47 tff(11108,plain,
% 12.26/12.47 ((~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_PM(c_s, s5, c_up) | m_state_v_pl(c_s, s4) | (~m_state_v_botPosP(c_s, s4))),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11107, 11101, 11025])).
% 12.26/12.47 tff(11109,plain,
% 12.26/12.47 ($false),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11108, 11091, 11080, 11079, 11078])).
% 12.26/12.47 tff(11110,plain,((~node114(c_s, s4)) | m_state_v_PM(c_s, s5, c_up)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.47 tff(11111,plain,
% 12.26/12.47 (~node114(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11110, 11066])).
% 12.26/12.47 tff(11112,assumption,(~node118(c_s, s4)), introduced(assumption)).
% 12.26/12.47 tff(11113,assumption,(node120(c_s, s4, s5)), introduced(assumption)).
% 12.26/12.47 tff(11114,plain,
% 12.26/12.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11115,plain,
% 12.26/12.47 (((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down))) <=> ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11116,plain,
% 12.26/12.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5))))),
% 12.26/12.47 inference(monotonicity,[status(thm)],[11115])).
% 12.26/12.47 tff(11117,plain,
% 12.26/12.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.26/12.47 inference(transitivity,[status(thm)],[11116, 11114])).
% 12.26/12.47 tff(11118,plain,
% 12.26/12.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11119,plain,
% 12.26/12.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 12.26/12.47 tff(11120,plain,
% 12.26/12.47 ($false),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11119, 3041, 11052, 11050, 11113])).
% 12.26/12.47 tff(11121,plain,((~node120(c_s, s4, s5)) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.47 tff(11122,plain,
% 12.26/12.47 (~node120(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11121, 11050, 11052])).
% 12.26/12.47 tff(11123,plain,
% 12.26/12.47 (node119(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11033, 11122, 11112, 11111, 11051])).
% 12.26/12.47 tff(11124,plain,
% 12.26/12.47 ($false),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11005, 2976, 11123, 11050])).
% 12.26/12.47 tff(11125,plain,(m_state_v_PM(c_s, s4, c_down) | node118(c_s, s4) | node117(c_s, s4) | (~m_state_v_PM(c_s, s5, c_down))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.47 tff(11126,plain,
% 12.26/12.47 (~m_state_v_PM(c_s, s5, c_down)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11125, 10999, 10940, 10944])).
% 12.26/12.47 tff(11127,assumption,(node119(c_s, s5)), introduced(assumption)).
% 12.26/12.47 tff(11128,assumption,(~m_state_v_PM(c_s, s5, c_down)), introduced(assumption)).
% 12.26/12.47 tff(11129,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11130,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11131,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11130, 11129])).
% 12.26/12.47 tff(11132,plain,
% 12.26/12.47 ($false),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11131, 2976, 11128, 11127])).
% 12.26/12.47 tff(11133,plain,((~node119(c_s, s5)) | m_state_v_PM(c_s, s5, c_down)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.47 tff(11134,plain,
% 12.26/12.47 (~node119(c_s, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11133, 11126])).
% 12.26/12.47 tff(11135,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11136,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11137,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4)),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 12.26/12.47 tff(11138,plain,
% 12.26/12.47 (~node50(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11137, 3492, 5688])).
% 12.26/12.47 tff(11139,assumption,(~m_state_v_topPosP(c_s, s4)), introduced(assumption)).
% 12.26/12.47 tff(11140,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11141,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11142,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11141, 11140])).
% 12.26/12.47 tff(11143,plain,
% 12.26/12.47 (~node49(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11142, 3114, 11139])).
% 12.26/12.47 tff(11144,plain,
% 12.26/12.47 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11145,plain,
% 12.26/12.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11146,plain,
% 12.26/12.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5)),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 12.26/12.47 tff(11147,plain,
% 12.26/12.47 (node52(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11146, 28, 3089, 4253])).
% 12.26/12.47 tff(11148,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11149,plain,
% 12.26/12.47 ((node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5))) <=> (node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11150,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4)))),
% 12.26/12.47 inference(monotonicity,[status(thm)],[11149])).
% 12.26/12.47 tff(11151,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4))),
% 12.26/12.47 inference(transitivity,[status(thm)],[11150, 11148])).
% 12.26/12.47 tff(11152,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11153,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s4) | (~node52(c_s, s4, s5)) | node51(c_s, s4, s5) | node49(c_s, s4)),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 12.26/12.47 tff(11154,plain,
% 12.26/12.47 (node50(c_s, s4) | node51(c_s, s4, s5) | node49(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11153, 3128, 11147])).
% 12.26/12.47 tff(11155,plain,
% 12.26/12.47 (node51(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11154, 11143, 11138])).
% 12.26/12.47 tff(11156,assumption,(m_state_v_topPosP(c_s, s5)), introduced(assumption)).
% 12.26/12.47 tff(11157,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11158,plain,
% 12.26/12.47 ((m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5))) <=> (m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11159,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5))))),
% 12.26/12.47 inference(monotonicity,[status(thm)],[11158])).
% 12.26/12.47 tff(11160,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5)))),
% 12.26/12.47 inference(transitivity,[status(thm)],[11159, 11157])).
% 12.26/12.47 tff(11161,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11162,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5)) | (~node51(c_s, s4, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 12.26/12.47 tff(11163,plain,
% 12.26/12.47 ($false),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11162, 3142, 11156, 11139, 11155])).
% 12.26/12.47 tff(11164,plain,(m_state_v_topPosP(c_s, s4) | (~m_state_v_topPosP(c_s, s5))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.47 tff(11165,plain,
% 12.26/12.47 (~m_state_v_topPosP(c_s, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11164, 10936])).
% 12.26/12.47 tff(11166,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11167,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11168,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11167, 11166])).
% 12.26/12.47 tff(11169,plain,
% 12.26/12.47 (~node117(c_s, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11168, 2996, 11165])).
% 12.26/12.47 tff(11170,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11171,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11172,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 12.26/12.47 tff(11173,plain,
% 12.26/12.47 (~node118(c_s, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11172, 3007, 11165])).
% 12.26/12.47 tff(11174,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11175,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11176,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 12.26/12.47 tff(11177,plain,
% 12.26/12.47 (~node53(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11176, 1804, 11042])).
% 12.26/12.47 tff(11178,plain,
% 12.26/12.47 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11179,plain,
% 12.26/12.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11180,plain,
% 12.26/12.47 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5)),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11179, 11178])).
% 12.26/12.47 tff(11181,plain,
% 12.26/12.47 (node56(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11180, 28, 1770, 4253])).
% 12.26/12.47 tff(11182,plain,
% 12.26/12.47 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11183,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11184,plain,
% 12.26/12.47 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 12.26/12.47 tff(11185,plain,
% 12.26/12.47 (~node54(c_s, s4)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11184, 3442, 5688])).
% 12.26/12.47 tff(11186,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11187,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))),
% 12.26/12.47 inference(quant_inst,[status(thm)],[])).
% 12.26/12.47 tff(11188,plain,
% 12.26/12.47 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5))),
% 12.26/12.47 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 12.26/12.47 tff(11189,plain,
% 12.26/12.47 (node53(c_s, s4) | node55(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11188, 1852, 11185, 11181])).
% 12.26/12.47 tff(11190,plain,
% 12.26/12.47 (node55(c_s, s4, s5)),
% 12.26/12.47 inference(unit_resolution,[status(thm)],[11189, 11177])).
% 12.26/12.47 tff(11191,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11192,plain,
% 12.26/12.47 ((m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5))) <=> ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.26/12.47 inference(rewrite,[status(thm)],[])).
% 12.26/12.47 tff(11193,plain,
% 12.26/12.47 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5))))),
% 12.26/12.47 inference(monotonicity,[status(thm)],[11192])).
% 12.26/12.47 tff(11194,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11193, 11191])).
% 12.26/12.48 tff(11195,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11196,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11195, 11194])).
% 12.26/12.48 tff(11197,plain,
% 12.26/12.48 (~m_state_v_midPosP(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11196, 1880, 5688, 11190])).
% 12.26/12.48 tff(11198,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11199,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11200,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 12.26/12.48 tff(11201,plain,
% 12.26/12.48 (~node116(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11200, 2943, 11197])).
% 12.26/12.48 tff(11202,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11203,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11204,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 12.26/12.48 tff(11205,plain,
% 12.26/12.48 (~node114(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11204, 2932, 6226])).
% 12.26/12.48 tff(11206,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node115(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node115(c_s, s5)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11207,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node115(c_s, s5)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11208,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node115(c_s, s5))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 12.26/12.48 tff(11209,plain,
% 12.26/12.48 (~node115(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11208, 5637, 6226])).
% 12.26/12.48 tff(11210,plain,
% 12.26/12.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11211,plain,
% 12.26/12.48 (((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11212,plain,
% 12.26/12.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6)))),
% 12.26/12.48 inference(monotonicity,[status(thm)],[11211])).
% 12.26/12.48 tff(11213,plain,
% 12.26/12.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11212, 11210])).
% 12.26/12.48 tff(11214,plain,
% 12.26/12.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11215,plain,
% 12.26/12.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6)),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 12.26/12.48 tff(11216,plain,
% 12.26/12.48 (node121(c_s, s5, s6)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11215, 2918, 2915, 15])).
% 12.26/12.48 tff(11217,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11218,plain,
% 12.26/12.48 ((node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6))) <=> (node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11219,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6))))),
% 12.26/12.48 inference(monotonicity,[status(thm)],[11218])).
% 12.26/12.48 tff(11220,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6)))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11219, 11217])).
% 12.26/12.48 tff(11221,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11222,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5) | (~node121(c_s, s5, s6))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 12.26/12.48 tff(11223,plain,
% 12.26/12.48 (node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node115(c_s, s5) | node120(c_s, s5, s6) | node114(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11222, 3024, 11216])).
% 12.26/12.48 tff(11224,plain,
% 12.26/12.48 (node118(c_s, s5) | node117(c_s, s5) | node119(c_s, s5) | node116(c_s, s5) | node120(c_s, s5, s6)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11223, 11209, 11205])).
% 12.26/12.48 tff(11225,plain,
% 12.26/12.48 (node120(c_s, s5, s6)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11224, 11201, 11173, 11169, 11134])).
% 12.26/12.48 tff(11226,assumption,(node120(c_s, s5, s6)), introduced(assumption)).
% 12.26/12.48 tff(11227,assumption,(m_state_v_PM(c_s, s6, c_up)), introduced(assumption)).
% 12.26/12.48 tff(11228,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11229,plain,
% 12.26/12.48 (((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up))) <=> (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11230,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6))))),
% 12.26/12.48 inference(monotonicity,[status(thm)],[11229])).
% 12.26/12.48 tff(11231,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11230, 11228])).
% 12.26/12.48 tff(11232,plain,
% 12.26/12.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11233,plain,
% 12.26/12.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 12.26/12.48 tff(11234,plain,
% 12.26/12.48 ($false),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11233, 3041, 11079, 11226, 11227])).
% 12.26/12.48 tff(11235,plain,((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.48 tff(11236,plain,
% 12.26/12.48 (~m_state_v_PM(c_s, s6, c_up)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11235, 11226, 11079])).
% 12.26/12.48 tff(11237,assumption,(m_state_v_PM(c_s, s6, c_down)), introduced(assumption)).
% 12.26/12.48 tff(11238,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11239,plain,
% 12.26/12.48 (((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down))) <=> (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11240,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6))))),
% 12.26/12.48 inference(monotonicity,[status(thm)],[11239])).
% 12.26/12.48 tff(11241,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11240, 11238])).
% 12.26/12.48 tff(11242,plain,
% 12.26/12.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11243,plain,
% 12.26/12.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 12.26/12.48 tff(11244,plain,
% 12.26/12.48 ($false),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11243, 3041, 11128, 11226, 11237])).
% 12.26/12.48 tff(11245,plain,((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.48 tff(11246,plain,
% 12.26/12.48 (~m_state_v_PM(c_s, s6, c_down)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11245, 11226, 11128])).
% 12.26/12.48 tff(11247,assumption,(~m_state_v_PM(c_s, s6, c_idle)), introduced(assumption)).
% 12.26/12.48 tff(11248,plain,
% 12.26/12.48 (^[I0: $i, X: $i] : refl((m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)) <=> (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)))),
% 12.26/12.48 inference(bind,[status(th)],[])).
% 12.26/12.48 tff(11249,plain,
% 12.26/12.48 (![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(quant_intro,[status(thm)],[11248])).
% 12.26/12.48 tff(11250,plain,
% 12.26/12.48 (![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11251,plain,
% 12.26/12.48 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_state_v_PM(I0, X, c_up) | m_state_v_PM(I0, X, c_down)) <=> (m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))), (((m_state_v_PM(I0, X, c_up) | m_state_v_PM(I0, X, c_down)) | m_state_v_PM(I0, X, c_idle)) <=> ((m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)) | m_state_v_PM(I0, X, c_idle)))), rewrite(((m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up)) | m_state_v_PM(I0, X, c_idle)) <=> (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))), (((m_state_v_PM(I0, X, c_up) | m_state_v_PM(I0, X, c_down)) | m_state_v_PM(I0, X, c_idle)) <=> (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))))),
% 12.26/12.48 inference(bind,[status(th)],[])).
% 12.26/12.48 tff(11252,plain,
% 12.26/12.48 (![I0: $i, X: $i] : ((m_state_v_PM(I0, X, c_up) | m_state_v_PM(I0, X, c_down)) | m_state_v_PM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(quant_intro,[status(thm)],[11251])).
% 12.26/12.48 tff(11253,axiom,(![I0: $i, X: $i] : ((m_state_v_PM(I0, X, c_up) | m_state_v_PM(I0, X, c_down)) | m_state_v_PM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_27')).
% 12.26/12.48 tff(11254,plain,
% 12.26/12.48 (![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 12.26/12.48 tff(11255,plain,
% 12.26/12.48 (![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11254, 11250])).
% 12.26/12.48 tff(11256,plain,(
% 12.26/12.48 ![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(skolemize,[status(sab)],[11255])).
% 12.26/12.48 tff(11257,plain,
% 12.26/12.48 (![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11256, 11249])).
% 12.26/12.48 tff(11258,plain,
% 12.26/12.48 (((~![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))) | (m_state_v_PM(c_s, s6, c_idle) | m_state_v_PM(c_s, s6, c_down) | m_state_v_PM(c_s, s6, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))) | m_state_v_PM(c_s, s6, c_idle) | m_state_v_PM(c_s, s6, c_down) | m_state_v_PM(c_s, s6, c_up))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11259,plain,
% 12.26/12.48 ((~![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))) | (m_state_v_PM(c_s, s6, c_idle) | m_state_v_PM(c_s, s6, c_down) | m_state_v_PM(c_s, s6, c_up))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11260,plain,
% 12.26/12.48 ((~![I0: $i, X: $i] : (m_state_v_PM(I0, X, c_idle) | m_state_v_PM(I0, X, c_down) | m_state_v_PM(I0, X, c_up))) | m_state_v_PM(c_s, s6, c_idle) | m_state_v_PM(c_s, s6, c_down) | m_state_v_PM(c_s, s6, c_up)),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 12.26/12.48 tff(11261,plain,
% 12.26/12.48 (m_state_v_PM(c_s, s6, c_down) | m_state_v_PM(c_s, s6, c_up)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11260, 11257, 11247])).
% 12.26/12.48 tff(11262,plain,
% 12.26/12.48 ($false),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11261, 11246, 11236])).
% 12.26/12.48 tff(11263,plain,((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s6, c_idle) | m_state_v_PM(c_s, s5, c_down) | m_state_v_PM(c_s, s5, c_up)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.48 tff(11264,plain,
% 12.26/12.48 (m_state_v_PM(c_s, s6, c_idle)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11263, 11225, 11126, 11049])).
% 12.26/12.48 tff(11265,plain,
% 12.26/12.48 (~m_state_v_PM(c_s, s6, c_down)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11245, 11225, 11126])).
% 12.26/12.48 tff(11266,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11267,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11268,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11267, 11266])).
% 12.26/12.48 tff(11269,plain,
% 12.26/12.48 (~node119(c_s, s6)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11268, 2976, 11265])).
% 12.26/12.48 tff(11270,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11271,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11272,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 12.26/12.48 tff(11273,plain,
% 12.26/12.48 (~node49(c_s, s5)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11272, 3114, 11165])).
% 12.26/12.48 tff(11274,plain,
% 12.26/12.48 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11275,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11276,plain,
% 12.26/12.48 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 12.26/12.48 tff(11277,plain,
% 12.26/12.48 (~node64(c_s, s4)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11276, 3292, 11139])).
% 12.26/12.48 tff(11278,assumption,(~m_state_v_press_status(c_s, s5, c_pressatbot)), introduced(assumption)).
% 12.26/12.48 tff(11279,assumption,(~node114(c_s, s3)), introduced(assumption)).
% 12.26/12.48 tff(11280,plain,
% 12.26/12.48 (^[Y: $i, X: $i, J0: $i] : refl(((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)) <=> ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)))),
% 12.26/12.48 inference(bind,[status(th)],[])).
% 12.26/12.48 tff(11281,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(quant_intro,[status(thm)],[11280])).
% 12.26/12.48 tff(11282,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11283,plain,
% 12.26/12.48 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_topPosP(J0, Y) | (~m_state_v_topPosP(J0, X))) <=> ((~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))), (((m_state_v_topPosP(J0, Y) | (~m_state_v_topPosP(J0, X))) | (~node51(J0, X, Y))) <=> (((~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)) | (~node51(J0, X, Y))))), rewrite((((~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y)) | (~node51(J0, X, Y))) <=> ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))), (((m_state_v_topPosP(J0, Y) | (~m_state_v_topPosP(J0, X))) | (~node51(J0, X, Y))) <=> ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))))),
% 12.26/12.48 inference(bind,[status(th)],[])).
% 12.26/12.48 tff(11284,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((m_state_v_topPosP(J0, Y) | (~m_state_v_topPosP(J0, X))) | (~node51(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(quant_intro,[status(thm)],[11283])).
% 12.26/12.48 tff(11285,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_topPosP(J0, Y) | (~m_state_v_topPosP(J0, X))) | (~node51(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_99')).
% 12.26/12.48 tff(11286,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 12.26/12.48 tff(11287,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11286, 11282])).
% 12.26/12.48 tff(11288,plain,(
% 12.26/12.48 ![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(skolemize,[status(sab)],[11287])).
% 12.26/12.48 tff(11289,plain,
% 12.26/12.48 (![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11288, 11281])).
% 12.26/12.48 tff(11290,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11291,plain,
% 12.26/12.48 (((~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4)) <=> ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11292,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | ((~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4))))),
% 12.26/12.48 inference(monotonicity,[status(thm)],[11291])).
% 12.26/12.48 tff(11293,plain,
% 12.26/12.48 (((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | ((~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4)))),
% 12.26/12.48 inference(transitivity,[status(thm)],[11292, 11290])).
% 12.26/12.48 tff(11294,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | ((~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4))),
% 12.26/12.48 inference(quant_inst,[status(thm)],[])).
% 12.26/12.48 tff(11295,plain,
% 12.26/12.48 ((~![Y: $i, X: $i, J0: $i] : ((~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, X)) | m_state_v_topPosP(J0, Y))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s3, s4))),
% 12.26/12.48 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 12.26/12.48 tff(11296,plain,
% 12.26/12.48 ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s4)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11295, 11289, 10928])).
% 12.26/12.48 tff(11297,plain,
% 12.26/12.48 (~m_state_v_topPosP(c_s, s3)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[11296, 11139])).
% 12.26/12.48 tff(11298,plain,
% 12.26/12.48 (~node118(c_s, s3)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[10947, 3007, 11297])).
% 12.26/12.48 tff(11299,plain,
% 12.26/12.48 (node120(c_s, s3, s4)),
% 12.26/12.48 inference(unit_resolution,[status(thm)],[10990, 11298, 11279])).
% 12.26/12.48 tff(11300,plain,
% 12.26/12.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3)))),
% 12.26/12.48 inference(rewrite,[status(thm)],[])).
% 12.26/12.48 tff(11301,plain,
% 12.26/12.48 (((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle)) <=> ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11302,plain,
% 12.26/12.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3))))),
% 12.26/12.49 inference(monotonicity,[status(thm)],[11301])).
% 12.26/12.49 tff(11303,plain,
% 12.26/12.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3)))),
% 12.26/12.49 inference(transitivity,[status(thm)],[11302, 11300])).
% 12.26/12.49 tff(11304,plain,
% 12.26/12.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11305,plain,
% 12.26/12.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 12.26/12.49 tff(11306,plain,
% 12.26/12.49 (m_state_v_PM(c_s, s3, c_idle)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11305, 3581, 3595, 5658])).
% 12.26/12.49 tff(11307,plain,
% 12.26/12.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11308,plain,
% 12.26/12.49 (((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle)) <=> ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11309,plain,
% 12.26/12.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4))))),
% 12.26/12.49 inference(monotonicity,[status(thm)],[11308])).
% 12.26/12.49 tff(11310,plain,
% 12.26/12.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4)))),
% 12.26/12.49 inference(transitivity,[status(thm)],[11309, 11307])).
% 12.26/12.49 tff(11311,plain,
% 12.26/12.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11312,plain,
% 12.26/12.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle) | (~node120(c_s, s3, s4))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11311, 11310])).
% 12.26/12.49 tff(11313,plain,
% 12.26/12.49 (m_state_v_PM(c_s, s4, c_idle)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11312, 3581, 11306, 11299])).
% 12.26/12.49 tff(11314,plain,
% 12.26/12.49 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11315,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11316,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11315, 11314])).
% 12.26/12.49 tff(11317,plain,
% 12.26/12.49 (~node65(c_s, s4)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11316, 3267, 5688])).
% 12.26/12.49 tff(11318,plain,
% 12.26/12.49 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11319,plain,
% 12.26/12.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11320,plain,
% 12.26/12.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5)),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 12.26/12.49 tff(11321,plain,
% 12.26/12.49 (node68(c_s, s4, s5)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11320, 28, 3281, 4253])).
% 12.26/12.49 tff(11322,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11323,plain,
% 12.26/12.49 (((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot)) <=> ((~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11324,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5))))),
% 12.26/12.49 inference(monotonicity,[status(thm)],[11323])).
% 12.26/12.49 tff(11325,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(transitivity,[status(thm)],[11324, 11322])).
% 12.26/12.49 tff(11326,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11327,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node68(c_s, s4, s5))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 12.26/12.49 tff(11328,plain,
% 12.26/12.49 ((~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node65(c_s, s4) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11327, 3306, 11321])).
% 12.26/12.49 tff(11329,plain,
% 12.26/12.49 ((~m_state_v_PM(c_s, s4, c_idle)) | (~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11328, 11317])).
% 12.26/12.49 tff(11330,plain,
% 12.26/12.49 (~m_state_v_botPosP(c_s, s4)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11329, 11313, 11277, 11278])).
% 12.26/12.49 tff(11331,plain,
% 12.26/12.49 (^[X: $i, J0: $i] : refl((m_state_v_botPosP(J0, X) | (~node66(J0, X))) <=> (m_state_v_botPosP(J0, X) | (~node66(J0, X))))),
% 12.26/12.49 inference(bind,[status(th)],[])).
% 12.26/12.49 tff(11332,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))),
% 12.26/12.49 inference(quant_intro,[status(thm)],[11331])).
% 12.26/12.49 tff(11333,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11334,axiom,(![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_139')).
% 12.26/12.49 tff(11335,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 12.26/12.49 tff(11336,plain,(
% 12.26/12.49 ![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))),
% 12.26/12.49 inference(skolemize,[status(sab)],[11335])).
% 12.26/12.49 tff(11337,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11336, 11332])).
% 12.26/12.49 tff(11338,plain,
% 12.26/12.49 (((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))) | (m_state_v_botPosP(c_s, s4) | (~node66(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))) | m_state_v_botPosP(c_s, s4) | (~node66(c_s, s4)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11339,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))) | (m_state_v_botPosP(c_s, s4) | (~node66(c_s, s4)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11340,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_botPosP(J0, X) | (~node66(J0, X)))) | m_state_v_botPosP(c_s, s4) | (~node66(c_s, s4))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 12.26/12.49 tff(11341,plain,
% 12.26/12.49 (~node66(c_s, s4)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11340, 11337, 11330])).
% 12.26/12.49 tff(11342,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11343,plain,
% 12.26/12.49 ((node64(c_s, s4) | node65(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5))) <=> (node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11344,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s4) | node65(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5))))),
% 12.26/12.49 inference(monotonicity,[status(thm)],[11343])).
% 12.26/12.49 tff(11345,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s4) | node65(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(transitivity,[status(thm)],[11344, 11342])).
% 12.26/12.49 tff(11346,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | (node64(c_s, s4) | node65(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11347,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : (node64(J0, X) | node65(J0, X) | node66(J0, X) | node67(J0, X, Y) | (~node68(J0, X, Y)))) | node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5) | (~node68(c_s, s4, s5))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11346, 11345])).
% 12.26/12.49 tff(11348,plain,
% 12.26/12.49 (node65(c_s, s4) | node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11347, 3370, 11321])).
% 12.26/12.49 tff(11349,plain,
% 12.26/12.49 (node64(c_s, s4) | node66(c_s, s4) | node67(c_s, s4, s5)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11348, 11317])).
% 12.26/12.49 tff(11350,plain,
% 12.26/12.49 (node67(c_s, s4, s5)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11349, 11341, 11277])).
% 12.26/12.49 tff(11351,plain,
% 12.26/12.49 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node64(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node64(c_s, s3)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11352,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node64(c_s, s3)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11353,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node64(c_s, s3))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 12.26/12.49 tff(11354,plain,
% 12.26/12.49 (~node64(c_s, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11353, 3292, 11297])).
% 12.26/12.49 tff(11355,plain,
% 12.26/12.49 (~node57(c_s, s1)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[3532, 3172])).
% 12.26/12.49 tff(11356,plain,
% 12.26/12.49 (node59(c_s, s1, s2)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[3545, 11355])).
% 12.26/12.49 tff(11357,plain,
% 12.26/12.49 (m_state_v_botPosP(c_s, s2)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[3551, 11356])).
% 12.26/12.49 tff(11358,plain,
% 12.26/12.49 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11359,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11360,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 12.26/12.49 tff(11361,plain,
% 12.26/12.49 (~node57(c_s, s2)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11360, 3205, 3179])).
% 12.26/12.49 tff(11362,plain,
% 12.26/12.49 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11363,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11364,plain,
% 12.26/12.49 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 12.26/12.49 tff(11365,plain,
% 12.26/12.49 (~node58(c_s, s2)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11364, 3216, 3511])).
% 12.26/12.49 tff(11366,plain,
% 12.26/12.49 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11367,plain,
% 12.26/12.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11368,plain,
% 12.26/12.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3)),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11367, 11366])).
% 12.26/12.49 tff(11369,plain,
% 12.26/12.49 (node60(c_s, s2, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11368, 28, 3194, 794])).
% 12.26/12.49 tff(11370,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11371,plain,
% 12.26/12.49 ((node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3))) <=> (node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11372,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3)))),
% 12.26/12.49 inference(monotonicity,[status(thm)],[11371])).
% 12.26/12.49 tff(11373,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3))),
% 12.26/12.49 inference(transitivity,[status(thm)],[11372, 11370])).
% 12.26/12.49 tff(11374,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11375,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node57(c_s, s2) | node59(c_s, s2, s3)),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11374, 11373])).
% 12.26/12.49 tff(11376,plain,
% 12.26/12.49 (node58(c_s, s2) | node57(c_s, s2) | node59(c_s, s2, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11375, 3230, 11369])).
% 12.26/12.49 tff(11377,plain,
% 12.26/12.49 (node57(c_s, s2) | node59(c_s, s2, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11376, 11365])).
% 12.26/12.49 tff(11378,plain,
% 12.26/12.49 (node59(c_s, s2, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11377, 11361])).
% 12.26/12.49 tff(11379,assumption,(m_state_v_botPosP(c_s, s2)), introduced(assumption)).
% 12.26/12.49 tff(11380,assumption,(node59(c_s, s2, s3)), introduced(assumption)).
% 12.26/12.49 tff(11381,assumption,(~m_state_v_botPosP(c_s, s3)), introduced(assumption)).
% 12.26/12.49 tff(11382,plain,
% 12.26/12.49 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11383,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))),
% 12.26/12.49 inference(quant_inst,[status(thm)],[])).
% 12.26/12.49 tff(11384,plain,
% 12.26/12.49 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3)),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 12.26/12.49 tff(11385,plain,
% 12.26/12.49 ($false),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11384, 3256, 11381, 11380, 11379])).
% 12.26/12.49 tff(11386,plain,((~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3) | (~m_state_v_botPosP(c_s, s2))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.49 tff(11387,plain,
% 12.26/12.49 (m_state_v_botPosP(c_s, s3)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[11386, 11378, 11357])).
% 12.26/12.49 tff(11388,assumption,(~m_state_v_midPosP(c_s, s2)), introduced(assumption)).
% 12.26/12.49 tff(11389,plain,
% 12.26/12.49 (~node116(c_s, s2)),
% 12.26/12.49 inference(unit_resolution,[status(thm)],[5606, 2943, 11388])).
% 12.26/12.49 tff(11390,assumption,(node65(c_s, s3)), introduced(assumption)).
% 12.26/12.49 tff(11391,plain,
% 12.26/12.49 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_idle) | (~node65(J0, X))) <=> (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X))))),
% 12.26/12.49 inference(bind,[status(th)],[])).
% 12.26/12.49 tff(11392,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))),
% 12.26/12.49 inference(quant_intro,[status(thm)],[11391])).
% 12.26/12.49 tff(11393,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))),
% 12.26/12.49 inference(rewrite,[status(thm)],[])).
% 12.26/12.49 tff(11394,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_138')).
% 12.26/12.49 tff(11395,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))),
% 12.26/12.49 inference(modus_ponens,[status(thm)],[11394, 11393])).
% 12.26/12.49 tff(11396,plain,(
% 12.26/12.49 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))),
% 12.26/12.49 inference(skolemize,[status(sab)],[11395])).
% 12.26/12.49 tff(11397,plain,
% 12.26/12.49 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11396, 11392])).
% 12.26/12.50 tff(11398,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))) | (m_state_v_PM(c_s, s3, c_idle) | (~node65(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))) | m_state_v_PM(c_s, s3, c_idle) | (~node65(c_s, s3)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11399,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))) | (m_state_v_PM(c_s, s3, c_idle) | (~node65(c_s, s3)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11400,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_idle) | (~node65(J0, X)))) | m_state_v_PM(c_s, s3, c_idle) | (~node65(c_s, s3))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 12.26/12.50 tff(11401,plain,
% 12.26/12.50 (m_state_v_PM(c_s, s3, c_idle)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11400, 11397, 11390])).
% 12.26/12.50 tff(11402,plain,
% 12.26/12.50 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11403,plain,
% 12.26/12.50 (((~m_state_v_PM(c_s, s3, c_up)) | (~m_state_v_PM(c_s, s3, c_idle))) <=> ((~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11404,plain,
% 12.26/12.50 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s3, c_up)) | (~m_state_v_PM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up))))),
% 12.26/12.50 inference(monotonicity,[status(thm)],[11403])).
% 12.26/12.50 tff(11405,plain,
% 12.26/12.50 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s3, c_up)) | (~m_state_v_PM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up)))),
% 12.26/12.50 inference(transitivity,[status(thm)],[11404, 11402])).
% 12.26/12.50 tff(11406,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s3, c_up)) | (~m_state_v_PM(c_s, s3, c_idle)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11407,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s3, c_idle)) | (~m_state_v_PM(c_s, s3, c_up))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11406, 11405])).
% 12.26/12.50 tff(11408,plain,
% 12.26/12.50 (~m_state_v_PM(c_s, s3, c_up)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11407, 1790, 11401])).
% 12.26/12.50 tff(11409,assumption,(~node116(c_s, s2)), introduced(assumption)).
% 12.26/12.50 tff(11410,assumption,(~m_state_v_PM(c_s, s3, c_up)), introduced(assumption)).
% 12.26/12.50 tff(11411,assumption,(m_state_v_PM(c_s, s2, c_up)), introduced(assumption)).
% 12.26/12.50 tff(11412,assumption,(node120(c_s, s2, s3)), introduced(assumption)).
% 12.26/12.50 tff(11413,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11414,plain,
% 12.26/12.50 (((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s3, c_up)) <=> (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11415,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s3, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3))))),
% 12.26/12.50 inference(monotonicity,[status(thm)],[11414])).
% 12.26/12.50 tff(11416,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s3, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3)))),
% 12.26/12.50 inference(transitivity,[status(thm)],[11415, 11413])).
% 12.26/12.50 tff(11417,plain,
% 12.26/12.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s3, c_up))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11418,plain,
% 12.26/12.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s2, c_up)) | (~node120(c_s, s2, s3))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11417, 11416])).
% 12.26/12.50 tff(11419,plain,
% 12.26/12.50 ($false),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11418, 3581, 11410, 11411, 11412])).
% 12.26/12.50 tff(11420,plain,((~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s3, c_up) | (~node120(c_s, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.50 tff(11421,plain,
% 12.26/12.50 (~node120(c_s, s2, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11420, 11411, 11410])).
% 12.26/12.50 tff(11422,plain,
% 12.26/12.50 (node119(c_s, s2)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[5657, 11421, 11409])).
% 12.26/12.50 tff(11423,plain,
% 12.26/12.50 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | ((~m_state_v_PM(c_s, s2, c_down)) | (~m_state_v_PM(c_s, s2, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | (~m_state_v_PM(c_s, s2, c_down)) | (~m_state_v_PM(c_s, s2, c_up)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11424,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | ((~m_state_v_PM(c_s, s2, c_down)) | (~m_state_v_PM(c_s, s2, c_up)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11425,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_up)))) | (~m_state_v_PM(c_s, s2, c_down)) | (~m_state_v_PM(c_s, s2, c_up))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 12.26/12.50 tff(11426,plain,
% 12.26/12.50 (~m_state_v_PM(c_s, s2, c_down)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11425, 11062, 11411])).
% 12.26/12.50 tff(11427,plain,
% 12.26/12.50 ($false),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[5617, 2976, 11426, 11422])).
% 12.26/12.50 tff(11428,plain,((~m_state_v_PM(c_s, s2, c_up)) | node116(c_s, s2) | m_state_v_PM(c_s, s3, c_up)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.50 tff(11429,plain,
% 12.26/12.50 (~m_state_v_PM(c_s, s2, c_up)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11428, 11408, 11389])).
% 12.26/12.50 tff(11430,plain,
% 12.26/12.50 (~node53(c_s, s2)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[3182, 1804, 11429])).
% 12.26/12.50 tff(11431,plain,
% 12.26/12.50 (node55(c_s, s2, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[3416, 11430])).
% 12.26/12.50 tff(11432,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node65(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node65(c_s, s3)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11433,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node65(c_s, s3)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11434,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node65(c_s, s3))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 12.26/12.50 tff(11435,plain,
% 12.26/12.50 (m_state_v_midPosP(c_s, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11434, 3267, 11390])).
% 12.26/12.50 tff(11436,plain,
% 12.26/12.50 ($false),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[3620, 1880, 11388, 11435, 11431])).
% 12.26/12.50 tff(11437,plain,((~node65(c_s, s3)) | m_state_v_midPosP(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.50 tff(11438,plain,
% 12.26/12.50 (~node65(c_s, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11437, 3614])).
% 12.26/12.50 tff(11439,plain,
% 12.26/12.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s3, s4))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11440,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s3, s4))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11441,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s3, s4)),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 12.26/12.50 tff(11442,plain,
% 12.26/12.50 (node68(c_s, s3, s4)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11441, 28, 3281, 1179])).
% 12.26/12.50 tff(11443,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11444,plain,
% 12.26/12.50 (((~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | (~m_state_v_PM(c_s, s3, c_idle)) | node65(c_s, s3) | (~node68(c_s, s3, s4)) | m_state_v_press_status(c_s, s4, c_pressatbot)) <=> ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11445,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | (~m_state_v_PM(c_s, s3, c_idle)) | node65(c_s, s3) | (~node68(c_s, s3, s4)) | m_state_v_press_status(c_s, s4, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4))))),
% 12.26/12.50 inference(monotonicity,[status(thm)],[11444])).
% 12.26/12.50 tff(11446,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | (~m_state_v_PM(c_s, s3, c_idle)) | node65(c_s, s3) | (~node68(c_s, s3, s4)) | m_state_v_press_status(c_s, s4, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4)))),
% 12.26/12.50 inference(transitivity,[status(thm)],[11445, 11443])).
% 12.26/12.50 tff(11447,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | (~m_state_v_PM(c_s, s3, c_idle)) | node65(c_s, s3) | (~node68(c_s, s3, s4)) | m_state_v_press_status(c_s, s4, c_pressatbot))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11448,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3) | (~node68(c_s, s3, s4))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 12.26/12.50 tff(11449,plain,
% 12.26/12.50 ((~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_press_status(c_s, s4, c_pressatbot) | (~m_state_v_botPosP(c_s, s3)) | node64(c_s, s3) | node65(c_s, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11448, 3306, 11442])).
% 12.26/12.50 tff(11450,plain,
% 12.26/12.50 (m_state_v_press_status(c_s, s4, c_pressatbot) | node64(c_s, s3)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11449, 11438, 11387, 11306])).
% 12.26/12.50 tff(11451,plain,
% 12.26/12.50 (m_state_v_press_status(c_s, s4, c_pressatbot)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11450, 11354])).
% 12.26/12.50 tff(11452,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11453,plain,
% 12.26/12.50 (((~node67(c_s, s4, s5)) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot)) <=> ((~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11454,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s4, s5)) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5))))),
% 12.26/12.50 inference(monotonicity,[status(thm)],[11453])).
% 12.26/12.50 tff(11455,plain,
% 12.26/12.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s4, s5)) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5)))),
% 12.26/12.50 inference(transitivity,[status(thm)],[11454, 11452])).
% 12.26/12.50 tff(11456,plain,
% 12.26/12.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | ((~node67(c_s, s4, s5)) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11457,plain,
% 12.26/12.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node67(J0, X, Y)) | (~m_state_v_press_status(J0, X, V)) | m_state_v_press_status(J0, Y, V))) | (~m_state_v_press_status(c_s, s4, c_pressatbot)) | m_state_v_press_status(c_s, s5, c_pressatbot) | (~node67(c_s, s4, s5))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 12.26/12.50 tff(11458,plain,
% 12.26/12.50 ($false),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11457, 3350, 11451, 11278, 11350])).
% 12.26/12.50 tff(11459,plain,(m_state_v_topPosP(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot) | node114(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.50 tff(11460,plain,
% 12.26/12.50 (m_state_v_topPosP(c_s, s4) | m_state_v_press_status(c_s, s5, c_pressatbot)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11459, 10952])).
% 12.26/12.50 tff(11461,plain,
% 12.26/12.50 (m_state_v_press_status(c_s, s5, c_pressatbot)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11460, 10936])).
% 12.26/12.50 tff(11462,plain,
% 12.26/12.50 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11463,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11464,plain,
% 12.26/12.50 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11463, 11462])).
% 12.26/12.50 tff(11465,plain,
% 12.26/12.50 (~m_state_v_press_status(c_s, s5, c_pressatmid)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11464, 1824, 11461])).
% 12.26/12.50 tff(11466,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11467,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11468,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid)),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 12.26/12.50 tff(11469,plain,
% 12.26/12.50 (~node50(c_s, s5)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11468, 3103, 11465])).
% 12.26/12.50 tff(11470,plain,
% 12.26/12.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11471,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11472,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6)),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 12.26/12.50 tff(11473,plain,
% 12.26/12.50 (node52(c_s, s5, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11472, 28, 3089, 15])).
% 12.26/12.50 tff(11474,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11475,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11476,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11475, 11474])).
% 12.26/12.50 tff(11477,plain,
% 12.26/12.50 (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11476, 3128, 11473])).
% 12.26/12.50 tff(11478,plain,
% 12.26/12.50 (node51(c_s, s5, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11477, 11469, 11273])).
% 12.26/12.50 tff(11479,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11480,plain,
% 12.26/12.50 ((m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6))) <=> (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11481,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6))))),
% 12.26/12.50 inference(monotonicity,[status(thm)],[11480])).
% 12.26/12.50 tff(11482,plain,
% 12.26/12.50 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.26/12.50 inference(transitivity,[status(thm)],[11481, 11479])).
% 12.26/12.50 tff(11483,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11484,plain,
% 12.26/12.50 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 12.26/12.50 tff(11485,plain,
% 12.26/12.50 (~m_state_v_topPosP(c_s, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11484, 3142, 11478, 11165])).
% 12.26/12.50 tff(11486,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11487,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11488,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 12.26/12.50 tff(11489,plain,
% 12.26/12.50 (~node117(c_s, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11488, 2996, 11485])).
% 12.26/12.50 tff(11490,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11491,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11492,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 12.26/12.50 tff(11493,plain,
% 12.26/12.50 (~node118(c_s, s6)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11492, 3007, 11485])).
% 12.26/12.50 tff(11494,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11495,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11496,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 12.26/12.50 tff(11497,plain,
% 12.26/12.50 (~node54(c_s, s5)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11496, 1835, 11465])).
% 12.26/12.50 tff(11498,plain,
% 12.26/12.50 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11499,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11500,plain,
% 12.26/12.50 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5))),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 12.26/12.50 tff(11501,plain,
% 12.26/12.50 (~node53(c_s, s5)),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11500, 1804, 11049])).
% 12.26/12.50 tff(11502,assumption,(~node56(c_s, s5, s6)), introduced(assumption)).
% 12.26/12.50 tff(11503,plain,
% 12.26/12.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))),
% 12.26/12.50 inference(rewrite,[status(thm)],[])).
% 12.26/12.50 tff(11504,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))),
% 12.26/12.50 inference(quant_inst,[status(thm)],[])).
% 12.26/12.50 tff(11505,plain,
% 12.26/12.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6)),
% 12.26/12.50 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 12.26/12.50 tff(11506,plain,
% 12.26/12.50 ($false),
% 12.26/12.50 inference(unit_resolution,[status(thm)],[11505, 28, 1770, 15, 11502])).
% 12.26/12.50 tff(11507,plain,(node56(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.26/12.51 tff(11508,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11509,plain,
% 12.26/12.51 ((node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6))) <=> (node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11510,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6)))),
% 12.26/12.51 inference(monotonicity,[status(thm)],[11509])).
% 12.26/12.51 tff(11511,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6))),
% 12.26/12.51 inference(transitivity,[status(thm)],[11510, 11508])).
% 12.26/12.51 tff(11512,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11513,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | (~node56(c_s, s5, s6)) | node55(c_s, s5, s6)),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 12.26/12.51 tff(11514,plain,
% 12.26/12.51 (node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11513, 1852, 11507])).
% 12.26/12.51 tff(11515,plain,
% 12.26/12.51 (node55(c_s, s5, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11514, 11501, 11497])).
% 12.26/12.51 tff(11516,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11517,plain,
% 12.26/12.51 ((m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6))) <=> (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11518,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6))))),
% 12.26/12.51 inference(monotonicity,[status(thm)],[11517])).
% 12.26/12.51 tff(11519,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.26/12.51 inference(transitivity,[status(thm)],[11518, 11516])).
% 12.26/12.51 tff(11520,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11521,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11520, 11519])).
% 12.26/12.51 tff(11522,plain,
% 12.26/12.51 (~m_state_v_midPosP(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11521, 1880, 11197, 11515])).
% 12.26/12.51 tff(11523,plain,
% 12.26/12.51 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11524,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11525,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 12.26/12.51 tff(11526,plain,
% 12.26/12.51 (~node116(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11525, 2943, 11522])).
% 12.26/12.51 tff(11527,plain,
% 12.26/12.51 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11528,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11529,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 12.26/12.51 tff(11530,plain,
% 12.26/12.51 (~node115(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11529, 5637, 9092])).
% 12.26/12.51 tff(11531,plain,
% 12.26/12.51 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11532,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11533,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 12.26/12.51 tff(11534,plain,
% 12.26/12.51 (~node114(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11533, 2932, 9092])).
% 12.26/12.51 tff(11535,plain,
% 12.26/12.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11536,plain,
% 12.26/12.51 (((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11537,plain,
% 12.26/12.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7)))),
% 12.26/12.51 inference(monotonicity,[status(thm)],[11536])).
% 12.26/12.51 tff(11538,plain,
% 12.26/12.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.26/12.51 inference(transitivity,[status(thm)],[11537, 11535])).
% 12.26/12.51 tff(11539,plain,
% 12.26/12.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11540,plain,
% 12.26/12.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7)),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 12.26/12.51 tff(11541,plain,
% 12.26/12.51 (node121(c_s, s6, s7)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11540, 2918, 2915, 5162])).
% 12.26/12.51 tff(11542,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11543,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11544,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 12.26/12.51 tff(11545,plain,
% 12.26/12.51 (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11544, 3024, 11541])).
% 12.26/12.51 tff(11546,plain,
% 12.26/12.51 (node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11545, 11534, 11530])).
% 12.26/12.51 tff(11547,plain,
% 12.26/12.51 (node120(c_s, s6, s7)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11546, 11526, 11493, 11489, 11269])).
% 12.26/12.51 tff(11548,assumption,(node120(c_s, s6, s7)), introduced(assumption)).
% 12.26/12.51 tff(11549,assumption,(m_state_v_PM(c_s, s6, c_idle)), introduced(assumption)).
% 12.26/12.51 tff(11550,assumption,(~m_state_v_PM(c_s, s7, c_idle)), introduced(assumption)).
% 12.26/12.51 tff(11551,plain,
% 12.26/12.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11552,plain,
% 12.26/12.51 (((~node120(c_s, s6, s7)) | (~m_state_v_PM(c_s, s6, c_idle)) | m_state_v_PM(c_s, s7, c_idle)) <=> (m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11553,plain,
% 12.26/12.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s6, s7)) | (~m_state_v_PM(c_s, s6, c_idle)) | m_state_v_PM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7))))),
% 12.26/12.51 inference(monotonicity,[status(thm)],[11552])).
% 12.26/12.51 tff(11554,plain,
% 12.26/12.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s6, s7)) | (~m_state_v_PM(c_s, s6, c_idle)) | m_state_v_PM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7)))),
% 12.26/12.51 inference(transitivity,[status(thm)],[11553, 11551])).
% 12.26/12.51 tff(11555,plain,
% 12.26/12.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s6, s7)) | (~m_state_v_PM(c_s, s6, c_idle)) | m_state_v_PM(c_s, s7, c_idle))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11556,plain,
% 12.26/12.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle)) | (~node120(c_s, s6, s7))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11555, 11554])).
% 12.26/12.51 tff(11557,plain,
% 12.26/12.51 ($false),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11556, 3581, 11550, 11549, 11548])).
% 12.26/12.51 tff(11558,plain,((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s7, c_idle) | (~m_state_v_PM(c_s, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.26/12.51 tff(11559,plain,
% 12.26/12.51 (m_state_v_PM(c_s, s7, c_idle)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11558, 11547, 11264])).
% 12.26/12.51 tff(11560,plain,
% 12.26/12.51 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node49(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node49(c_s, s6)))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11561,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node49(c_s, s6)))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11562,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node49(c_s, s6))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11561, 11560])).
% 12.26/12.51 tff(11563,plain,
% 12.26/12.51 (~node49(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11562, 3114, 11485])).
% 12.26/12.51 tff(11564,plain,
% 12.26/12.51 (~m_state_v_PM(c_s, s6, c_up)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11235, 11225, 11049])).
% 12.26/12.51 tff(11565,plain,
% 12.26/12.51 (^[X: $i, J0: $i] : refl(((~node50(J0, X)) | m_state_v_PM(J0, X, c_up)) <=> ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up)))),
% 12.26/12.51 inference(bind,[status(th)],[])).
% 12.26/12.51 tff(11566,plain,
% 12.26/12.51 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(quant_intro,[status(thm)],[11565])).
% 12.26/12.51 tff(11567,plain,
% 12.26/12.51 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11568,plain,
% 12.26/12.51 (^[X: $i, J0: $i] : rewrite((m_state_v_PM(J0, X, c_up) | (~node50(J0, X))) <=> ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up)))),
% 12.26/12.51 inference(bind,[status(th)],[])).
% 12.26/12.51 tff(11569,plain,
% 12.26/12.51 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node50(J0, X))) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(quant_intro,[status(thm)],[11568])).
% 12.26/12.51 tff(11570,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node50(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_97')).
% 12.26/12.51 tff(11571,plain,
% 12.26/12.51 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 12.26/12.51 tff(11572,plain,
% 12.26/12.51 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11571, 11567])).
% 12.26/12.51 tff(11573,plain,(
% 12.26/12.51 ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(skolemize,[status(sab)],[11572])).
% 12.26/12.51 tff(11574,plain,
% 12.26/12.51 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11573, 11566])).
% 12.26/12.51 tff(11575,plain,
% 12.26/12.51 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))) | ((~node50(c_s, s6)) | m_state_v_PM(c_s, s6, c_up))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))) | (~node50(c_s, s6)) | m_state_v_PM(c_s, s6, c_up))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11576,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))) | ((~node50(c_s, s6)) | m_state_v_PM(c_s, s6, c_up))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11577,plain,
% 12.26/12.51 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_PM(J0, X, c_up))) | (~node50(c_s, s6)) | m_state_v_PM(c_s, s6, c_up)),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 12.26/12.51 tff(11578,plain,
% 12.26/12.51 (~node50(c_s, s6)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11577, 11574, 11564])).
% 12.26/12.51 tff(11579,plain,
% 12.26/12.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s6, s7))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11580,plain,
% 12.26/12.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s6, s7))),
% 12.26/12.51 inference(quant_inst,[status(thm)],[])).
% 12.26/12.51 tff(11581,plain,
% 12.26/12.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s6, s7)),
% 12.26/12.51 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 12.26/12.51 tff(11582,plain,
% 12.26/12.51 (node52(c_s, s6, s7)),
% 12.26/12.51 inference(unit_resolution,[status(thm)],[11581, 28, 3089, 5162])).
% 12.26/12.51 tff(11583,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11584,plain,
% 12.26/12.51 ((node49(c_s, s6) | node50(c_s, s6) | node51(c_s, s6, s7) | (~node52(c_s, s6, s7))) <=> (node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7))),
% 12.26/12.51 inference(rewrite,[status(thm)],[])).
% 12.26/12.51 tff(11585,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s6) | node50(c_s, s6) | node51(c_s, s6, s7) | (~node52(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7)))),
% 12.26/12.51 inference(monotonicity,[status(thm)],[11584])).
% 12.26/12.51 tff(11586,plain,
% 12.26/12.51 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s6) | node50(c_s, s6) | node51(c_s, s6, s7) | (~node52(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7))),
% 12.26/12.51 inference(transitivity,[status(thm)],[11585, 11583])).
% 12.26/12.51 tff(11587,plain,
% 12.26/12.51 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s6) | node50(c_s, s6) | node51(c_s, s6, s7) | (~node52(c_s, s6, s7)))),
% 12.36/12.51 inference(quant_inst,[status(thm)],[])).
% 12.36/12.51 tff(11588,plain,
% 12.36/12.51 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s6) | node50(c_s, s6) | (~node52(c_s, s6, s7)) | node51(c_s, s6, s7)),
% 12.36/12.51 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 12.36/12.51 tff(11589,plain,
% 12.36/12.51 (node49(c_s, s6) | node50(c_s, s6) | node51(c_s, s6, s7)),
% 12.36/12.51 inference(unit_resolution,[status(thm)],[11588, 3128, 11582])).
% 12.36/12.51 tff(11590,plain,
% 12.36/12.51 (node51(c_s, s6, s7)),
% 12.36/12.51 inference(unit_resolution,[status(thm)],[11589, 11578, 11563])).
% 12.36/12.51 tff(11591,plain,
% 12.36/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7)))),
% 12.36/12.51 inference(rewrite,[status(thm)],[])).
% 12.36/12.51 tff(11592,plain,
% 12.36/12.51 ((m_state_v_topPosP(c_s, s6) | (~node51(c_s, s6, s7)) | (~m_state_v_topPosP(c_s, s7))) <=> (m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7)))),
% 12.36/12.51 inference(rewrite,[status(thm)],[])).
% 12.36/12.51 tff(11593,plain,
% 12.36/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s6) | (~node51(c_s, s6, s7)) | (~m_state_v_topPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7))))),
% 12.36/12.51 inference(monotonicity,[status(thm)],[11592])).
% 12.36/12.51 tff(11594,plain,
% 12.36/12.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s6) | (~node51(c_s, s6, s7)) | (~m_state_v_topPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7)))),
% 12.36/12.51 inference(transitivity,[status(thm)],[11593, 11591])).
% 12.36/12.51 tff(11595,plain,
% 12.36/12.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s6) | (~node51(c_s, s6, s7)) | (~m_state_v_topPosP(c_s, s7)))),
% 12.36/12.51 inference(quant_inst,[status(thm)],[])).
% 12.36/12.51 tff(11596,plain,
% 12.36/12.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s6) | (~m_state_v_topPosP(c_s, s7)) | (~node51(c_s, s6, s7))),
% 12.36/12.51 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 12.36/12.51 tff(11597,plain,
% 12.36/12.51 (~m_state_v_topPosP(c_s, s7)),
% 12.36/12.51 inference(unit_resolution,[status(thm)],[11596, 3142, 11485, 11590])).
% 12.36/12.51 tff(11598,plain,
% 12.36/12.51 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node117(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node117(c_s, s7)))),
% 12.36/12.51 inference(rewrite,[status(thm)],[])).
% 12.36/12.51 tff(11599,plain,
% 12.36/12.51 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node117(c_s, s7)))),
% 12.36/12.51 inference(quant_inst,[status(thm)],[])).
% 12.36/12.51 tff(11600,plain,
% 12.36/12.51 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node117(c_s, s7))),
% 12.36/12.51 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 12.36/12.51 tff(11601,plain,
% 12.36/12.51 (~node117(c_s, s7)),
% 12.36/12.51 inference(unit_resolution,[status(thm)],[11600, 2996, 11597])).
% 12.36/12.51 tff(11602,plain,
% 12.36/12.51 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node118(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node118(c_s, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11603,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node118(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11604,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node118(c_s, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 12.36/12.52 tff(11605,plain,
% 12.36/12.52 (~node118(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11604, 3007, 11597])).
% 12.36/12.52 tff(11606,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11607,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11608,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 12.36/12.52 tff(11609,plain,
% 12.36/12.52 (~node53(c_s, s6)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11608, 1804, 11564])).
% 12.36/12.52 tff(11610,plain,
% 12.36/12.52 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))))),
% 12.36/12.52 inference(bind,[status(th)],[])).
% 12.36/12.52 tff(11611,plain,
% 12.36/12.52 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.36/12.52 inference(quant_intro,[status(thm)],[11610])).
% 12.36/12.52 tff(11612,plain,
% 12.36/12.52 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11613,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_108')).
% 12.36/12.52 tff(11614,plain,
% 12.36/12.52 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 12.36/12.52 tff(11615,plain,(
% 12.36/12.52 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.36/12.52 inference(skolemize,[status(sab)],[11614])).
% 12.36/12.52 tff(11616,plain,
% 12.36/12.52 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11615, 11611])).
% 12.36/12.52 tff(11617,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11618,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11619,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11618, 11617])).
% 12.36/12.52 tff(11620,plain,
% 12.36/12.52 (~node54(c_s, s6)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11619, 11616, 11564])).
% 12.36/12.52 tff(11621,plain,
% 12.36/12.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11622,plain,
% 12.36/12.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11623,plain,
% 12.36/12.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7)),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11622, 11621])).
% 12.36/12.52 tff(11624,plain,
% 12.36/12.52 (node56(c_s, s6, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11623, 28, 1770, 5162])).
% 12.36/12.52 tff(11625,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11626,plain,
% 12.36/12.52 ((node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))) <=> (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11627,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11626])).
% 12.36/12.52 tff(11628,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11627, 11625])).
% 12.36/12.52 tff(11629,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11630,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 12.36/12.52 tff(11631,plain,
% 12.36/12.52 (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11630, 1852, 11624])).
% 12.36/12.52 tff(11632,plain,
% 12.36/12.52 (node55(c_s, s6, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11631, 11620, 11609])).
% 12.36/12.52 tff(11633,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11634,plain,
% 12.36/12.52 ((m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7))) <=> (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11635,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7))))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11634])).
% 12.36/12.52 tff(11636,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11635, 11633])).
% 12.36/12.52 tff(11637,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11638,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11637, 11636])).
% 12.36/12.52 tff(11639,plain,
% 12.36/12.52 (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7))),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11638, 1880])).
% 12.36/12.52 tff(11640,plain,
% 12.36/12.52 (~m_state_v_midPosP(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11639, 11632, 11522])).
% 12.36/12.52 tff(11641,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s7) | (~node116(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s7) | (~node116(c_s, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11642,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s7) | (~node116(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11643,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s7) | (~node116(c_s, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 12.36/12.52 tff(11644,plain,
% 12.36/12.52 (~node116(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11643, 2943, 11640])).
% 12.36/12.52 tff(11645,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11646,plain,
% 12.36/12.52 (((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_down) | (~m_state_v_PM(c_s, s7, c_down))) <=> ((~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11647,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_down) | (~m_state_v_PM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7))))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11646])).
% 12.36/12.52 tff(11648,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_down) | (~m_state_v_PM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7)))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11647, 11645])).
% 12.36/12.52 tff(11649,plain,
% 12.36/12.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_down) | (~m_state_v_PM(c_s, s7, c_down)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11650,plain,
% 12.36/12.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_down)) | m_state_v_PM(c_s, s6, c_down) | (~node120(c_s, s6, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 12.36/12.52 tff(11651,plain,
% 12.36/12.52 (~m_state_v_PM(c_s, s7, c_down)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11650, 3041, 11265, 11547])).
% 12.36/12.52 tff(11652,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s7, c_down) | (~node119(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s7, c_down) | (~node119(c_s, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11653,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s7, c_down) | (~node119(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11654,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s7, c_down) | (~node119(c_s, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11653, 11652])).
% 12.36/12.52 tff(11655,plain,
% 12.36/12.52 (~node119(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11654, 2976, 11651])).
% 12.36/12.52 tff(11656,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node114(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node114(c_s, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11657,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node114(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11658,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node114(c_s, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 12.36/12.52 tff(11659,plain,
% 12.36/12.52 (~node114(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11658, 2932, 9553])).
% 12.36/12.52 tff(11660,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node115(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node115(c_s, s7)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11661,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s7)) | (~node115(c_s, s7)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11662,plain,
% 12.36/12.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s7)) | (~node115(c_s, s7))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 12.36/12.52 tff(11663,plain,
% 12.36/12.52 (~node115(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11662, 5637, 9553])).
% 12.36/12.52 tff(11664,assumption,(~node121(c_s, s7, s8)), introduced(assumption)).
% 12.36/12.52 tff(11665,plain,
% 12.36/12.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11666,plain,
% 12.36/12.52 (((~trans(s7, s8)) | node121(c_s, s7, s8) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11667,plain,
% 12.36/12.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s7, s8)) | node121(c_s, s7, s8) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8)))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11666])).
% 12.36/12.52 tff(11668,plain,
% 12.36/12.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s7, s8)) | node121(c_s, s7, s8) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11667, 11665])).
% 12.36/12.52 tff(11669,plain,
% 12.36/12.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s7, s8)) | node121(c_s, s7, s8) | (~m_Press_v_s(c_PR, c_s)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11670,plain,
% 12.36/12.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s7, s8)),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11669, 11668])).
% 12.36/12.52 tff(11671,plain,
% 12.36/12.52 ($false),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11670, 2918, 2915, 5304, 11664])).
% 12.36/12.52 tff(11672,plain,(node121(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.52 tff(11673,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11674,plain,
% 12.36/12.52 ((node114(c_s, s7) | node115(c_s, s7) | node116(c_s, s7) | node117(c_s, s7) | node118(c_s, s7) | node119(c_s, s7) | node120(c_s, s7, s8) | (~node121(c_s, s7, s8))) <=> (node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11675,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s7) | node115(c_s, s7) | node116(c_s, s7) | node117(c_s, s7) | node118(c_s, s7) | node119(c_s, s7) | node120(c_s, s7, s8) | (~node121(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7)))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11674])).
% 12.36/12.52 tff(11676,plain,
% 12.36/12.52 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s7) | node115(c_s, s7) | node116(c_s, s7) | node117(c_s, s7) | node118(c_s, s7) | node119(c_s, s7) | node120(c_s, s7, s8) | (~node121(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11675, 11673])).
% 12.36/12.52 tff(11677,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s7) | node115(c_s, s7) | node116(c_s, s7) | node117(c_s, s7) | node118(c_s, s7) | node119(c_s, s7) | node120(c_s, s7, s8) | (~node121(c_s, s7, s8)))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11678,plain,
% 12.36/12.52 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7)),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11677, 11676])).
% 12.36/12.52 tff(11679,plain,
% 12.36/12.52 (node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | (~node121(c_s, s7, s8)) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11678, 3024])).
% 12.36/12.52 tff(11680,plain,
% 12.36/12.52 (node118(c_s, s7) | node116(c_s, s7) | node114(c_s, s7) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7) | node115(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11679, 11672])).
% 12.36/12.52 tff(11681,plain,
% 12.36/12.52 (node118(c_s, s7) | node116(c_s, s7) | node120(c_s, s7, s8) | node119(c_s, s7) | node117(c_s, s7)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11680, 11663, 11659])).
% 12.36/12.52 tff(11682,plain,
% 12.36/12.52 (node120(c_s, s7, s8)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11681, 11655, 11644, 11605, 11601])).
% 12.36/12.52 tff(11683,assumption,(node120(c_s, s7, s8)), introduced(assumption)).
% 12.36/12.52 tff(11684,assumption,(~m_state_v_PM(c_s, s8, c_idle)), introduced(assumption)).
% 12.36/12.52 tff(11685,assumption,(m_state_v_PM(c_s, s7, c_idle)), introduced(assumption)).
% 12.36/12.52 tff(11686,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11687,plain,
% 12.36/12.52 (((~node120(c_s, s7, s8)) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle)) <=> ((~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8)))),
% 12.36/12.52 inference(rewrite,[status(thm)],[])).
% 12.36/12.52 tff(11688,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s7, s8)) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8))))),
% 12.36/12.52 inference(monotonicity,[status(thm)],[11687])).
% 12.36/12.52 tff(11689,plain,
% 12.36/12.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s7, s8)) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8)))),
% 12.36/12.52 inference(transitivity,[status(thm)],[11688, 11686])).
% 12.36/12.52 tff(11690,plain,
% 12.36/12.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s7, s8)) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle))),
% 12.36/12.52 inference(quant_inst,[status(thm)],[])).
% 12.36/12.52 tff(11691,plain,
% 12.36/12.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8))),
% 12.36/12.52 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 12.36/12.52 tff(11692,plain,
% 12.36/12.52 ($false),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11691, 3581, 11685, 11684, 11683])).
% 12.36/12.52 tff(11693,plain,((~m_state_v_PM(c_s, s7, c_idle)) | m_state_v_PM(c_s, s8, c_idle) | (~node120(c_s, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 12.36/12.52 tff(11694,plain,
% 12.36/12.52 (m_state_v_PM(c_s, s8, c_idle)),
% 12.36/12.52 inference(unit_resolution,[status(thm)],[11693, 11682, 11559])).
% 12.36/12.52 tff(11695,plain,
% 12.36/12.52 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | ((~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11696,plain,
% 12.36/12.53 ((m_state_v_midPosP(c_s, s7) | (~node54(c_s, s7))) <=> ((~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11697,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s7) | (~node54(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | ((~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7)))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11696])).
% 12.36/12.53 tff(11698,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s7) | (~node54(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11697, 11695])).
% 12.36/12.53 tff(11699,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s7) | (~node54(c_s, s7)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11700,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (~node54(c_s, s7)) | m_state_v_midPosP(c_s, s7)),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 12.36/12.53 tff(11701,plain,
% 12.36/12.53 (~node54(c_s, s7)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11700, 3442, 11640])).
% 12.36/12.53 tff(11702,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11703,plain,
% 12.36/12.53 (((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up))) <=> ((~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11704,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11703])).
% 12.36/12.53 tff(11705,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7)))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11704, 11702])).
% 12.36/12.53 tff(11706,plain,
% 12.36/12.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11707,plain,
% 12.36/12.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s7, c_up)) | m_state_v_PM(c_s, s6, c_up) | (~node120(c_s, s6, s7))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 12.36/12.53 tff(11708,plain,
% 12.36/12.53 (~m_state_v_PM(c_s, s7, c_up)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11707, 3041, 11564, 11547])).
% 12.36/12.53 tff(11709,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11710,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11711,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 12.36/12.53 tff(11712,plain,
% 12.36/12.53 (~node53(c_s, s7)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11711, 1804, 11708])).
% 12.36/12.53 tff(11713,plain,
% 12.36/12.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11714,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11715,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8)),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 12.36/12.53 tff(11716,plain,
% 12.36/12.53 (node56(c_s, s7, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11715, 28, 1770, 5304])).
% 12.36/12.53 tff(11717,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11718,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11719,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 12.36/12.53 tff(11720,plain,
% 12.36/12.53 (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11719, 1852, 11716])).
% 12.36/12.53 tff(11721,plain,
% 12.36/12.53 (node55(c_s, s7, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11720, 11712, 11701])).
% 12.36/12.53 tff(11722,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11723,plain,
% 12.36/12.53 ((m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8))) <=> ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11724,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11723])).
% 12.36/12.53 tff(11725,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11724, 11722])).
% 12.36/12.53 tff(11726,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11727,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11726, 11725])).
% 12.36/12.53 tff(11728,plain,
% 12.36/12.53 (~m_state_v_midPosP(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11727, 1880, 11640, 11721])).
% 12.36/12.53 tff(11729,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s8) | (~node116(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s8) | (~node116(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11730,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s8) | (~node116(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11731,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s8) | (~node116(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11730, 11729])).
% 12.36/12.53 tff(11732,plain,
% 12.36/12.53 (~node116(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11731, 2943, 11728])).
% 12.36/12.53 tff(11733,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node115(c_s, s8)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node115(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11734,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node115(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11735,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node115(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 12.36/12.53 tff(11736,plain,
% 12.36/12.53 (~node115(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11735, 5637, 10121])).
% 12.36/12.53 tff(11737,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s7)) | m_state_v_midPosP(c_s, s7))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s7)) | m_state_v_midPosP(c_s, s7))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11738,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s7)) | m_state_v_midPosP(c_s, s7))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11739,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s7)) | m_state_v_midPosP(c_s, s7)),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 12.36/12.53 tff(11740,plain,
% 12.36/12.53 (~node50(c_s, s7)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11739, 3492, 11640])).
% 12.36/12.53 tff(11741,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node49(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node49(c_s, s7)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11742,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node49(c_s, s7)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11743,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node49(c_s, s7))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 12.36/12.53 tff(11744,plain,
% 12.36/12.53 (~node49(c_s, s7)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11743, 3114, 11597])).
% 12.36/12.53 tff(11745,assumption,(~node52(c_s, s7, s8)), introduced(assumption)).
% 12.36/12.53 tff(11746,plain,
% 12.36/12.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s7, s8))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11747,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s7, s8))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11748,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s7, s8)),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11747, 11746])).
% 12.36/12.53 tff(11749,plain,
% 12.36/12.53 ($false),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11748, 28, 3089, 5304, 11745])).
% 12.36/12.53 tff(11750,plain,(node52(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.53 tff(11751,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11752,plain,
% 12.36/12.53 ((node49(c_s, s7) | node50(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8))) <=> (node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11753,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s7) | node50(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11752])).
% 12.36/12.53 tff(11754,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s7) | node50(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11753, 11751])).
% 12.36/12.53 tff(11755,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s7) | node50(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11756,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8) | (~node52(c_s, s7, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 12.36/12.53 tff(11757,plain,
% 12.36/12.53 (node50(c_s, s7) | node49(c_s, s7) | node51(c_s, s7, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11756, 3128, 11750])).
% 12.36/12.53 tff(11758,plain,
% 12.36/12.53 (node51(c_s, s7, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11757, 11744, 11740])).
% 12.36/12.53 tff(11759,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11760,plain,
% 12.36/12.53 ((m_state_v_topPosP(c_s, s7) | (~node51(c_s, s7, s8)) | (~m_state_v_topPosP(c_s, s8))) <=> (m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11761,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s7) | (~node51(c_s, s7, s8)) | (~m_state_v_topPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11760])).
% 12.36/12.53 tff(11762,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s7) | (~node51(c_s, s7, s8)) | (~m_state_v_topPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8)))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11761, 11759])).
% 12.36/12.53 tff(11763,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s7) | (~node51(c_s, s7, s8)) | (~m_state_v_topPosP(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11764,plain,
% 12.36/12.53 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 12.36/12.53 tff(11765,plain,
% 12.36/12.53 (m_state_v_topPosP(c_s, s7) | (~m_state_v_topPosP(c_s, s8)) | (~node51(c_s, s7, s8))),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11764, 3142])).
% 12.36/12.53 tff(11766,plain,
% 12.36/12.53 (~m_state_v_topPosP(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11765, 11758, 11597])).
% 12.36/12.53 tff(11767,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node117(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node117(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11768,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node117(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11769,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node117(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 12.36/12.53 tff(11770,plain,
% 12.36/12.53 (~node117(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11769, 2996, 11766])).
% 12.36/12.53 tff(11771,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node114(c_s, s8)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node114(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11772,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s8)) | (~node114(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11773,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s8)) | (~node114(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 12.36/12.53 tff(11774,plain,
% 12.36/12.53 (~node114(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11773, 2932, 10121])).
% 12.36/12.53 tff(11775,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node118(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node118(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11776,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node118(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11777,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node118(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11776, 11775])).
% 12.36/12.53 tff(11778,plain,
% 12.36/12.53 (~node118(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11777, 3007, 11766])).
% 12.36/12.53 tff(11779,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11780,plain,
% 12.36/12.53 (((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down))) <=> (m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11781,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11780])).
% 12.36/12.53 tff(11782,plain,
% 12.36/12.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8)))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11781, 11779])).
% 12.36/12.53 tff(11783,plain,
% 12.36/12.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11784,plain,
% 12.36/12.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_down) | (~m_state_v_PM(c_s, s8, c_down)) | (~node120(c_s, s7, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11783, 11782])).
% 12.36/12.53 tff(11785,plain,
% 12.36/12.53 (~m_state_v_PM(c_s, s8, c_down)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11784, 3041, 11651, 11682])).
% 12.36/12.53 tff(11786,plain,
% 12.36/12.53 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s8, c_down) | (~node119(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s8, c_down) | (~node119(c_s, s8)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11787,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s8, c_down) | (~node119(c_s, s8)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11788,plain,
% 12.36/12.53 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s8, c_down) | (~node119(c_s, s8))),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11787, 11786])).
% 12.36/12.53 tff(11789,plain,
% 12.36/12.53 (~node119(c_s, s8)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11788, 2976, 11785])).
% 12.36/12.53 tff(11790,plain,
% 12.36/12.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11791,plain,
% 12.36/12.53 (((~trans(s8, s9)) | node121(c_s, s8, s9) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11792,plain,
% 12.36/12.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s8, s9)) | node121(c_s, s8, s9) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9)))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11791])).
% 12.36/12.53 tff(11793,plain,
% 12.36/12.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s8, s9)) | node121(c_s, s8, s9) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9))),
% 12.36/12.53 inference(transitivity,[status(thm)],[11792, 11790])).
% 12.36/12.53 tff(11794,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s8, s9)) | node121(c_s, s8, s9) | (~m_Press_v_s(c_PR, c_s)))),
% 12.36/12.53 inference(quant_inst,[status(thm)],[])).
% 12.36/12.53 tff(11795,plain,
% 12.36/12.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s8, s9)),
% 12.36/12.53 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 12.36/12.53 tff(11796,plain,
% 12.36/12.53 (node121(c_s, s8, s9)),
% 12.36/12.53 inference(unit_resolution,[status(thm)],[11795, 2918, 2915, 5508])).
% 12.36/12.53 tff(11797,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11798,plain,
% 12.36/12.53 ((node114(c_s, s8) | node115(c_s, s8) | node116(c_s, s8) | node117(c_s, s8) | node118(c_s, s8) | node119(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9))) <=> (node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))),
% 12.36/12.53 inference(rewrite,[status(thm)],[])).
% 12.36/12.53 tff(11799,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s8) | node115(c_s, s8) | node116(c_s, s8) | node117(c_s, s8) | node118(c_s, s8) | node119(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9))))),
% 12.36/12.53 inference(monotonicity,[status(thm)],[11798])).
% 12.36/12.53 tff(11800,plain,
% 12.36/12.53 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s8) | node115(c_s, s8) | node116(c_s, s8) | node117(c_s, s8) | node118(c_s, s8) | node119(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11799, 11797])).
% 12.36/12.54 tff(11801,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s8) | node115(c_s, s8) | node116(c_s, s8) | node117(c_s, s8) | node118(c_s, s8) | node119(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11802,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9) | (~node121(c_s, s8, s9))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 12.36/12.54 tff(11803,plain,
% 12.36/12.54 (node114(c_s, s8) | node118(c_s, s8) | node116(c_s, s8) | node119(c_s, s8) | node117(c_s, s8) | node115(c_s, s8) | node120(c_s, s8, s9)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11802, 3024, 11796])).
% 12.36/12.54 tff(11804,plain,
% 12.36/12.54 (node120(c_s, s8, s9)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11803, 11789, 11778, 11774, 11770, 11736, 11732])).
% 12.36/12.54 tff(11805,assumption,(node120(c_s, s8, s9)), introduced(assumption)).
% 12.36/12.54 tff(11806,assumption,(m_state_v_PM(c_s, s8, c_idle)), introduced(assumption)).
% 12.36/12.54 tff(11807,assumption,(~m_state_v_PM(c_s, s9, c_idle)), introduced(assumption)).
% 12.36/12.54 tff(11808,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11809,plain,
% 12.36/12.54 (((~node120(c_s, s8, s9)) | (~m_state_v_PM(c_s, s8, c_idle)) | m_state_v_PM(c_s, s9, c_idle)) <=> (m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11810,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s8, s9)) | (~m_state_v_PM(c_s, s8, c_idle)) | m_state_v_PM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9))))),
% 12.36/12.54 inference(monotonicity,[status(thm)],[11809])).
% 12.36/12.54 tff(11811,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s8, s9)) | (~m_state_v_PM(c_s, s8, c_idle)) | m_state_v_PM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9)))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11810, 11808])).
% 12.36/12.54 tff(11812,plain,
% 12.36/12.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s8, s9)) | (~m_state_v_PM(c_s, s8, c_idle)) | m_state_v_PM(c_s, s9, c_idle))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11813,plain,
% 12.36/12.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle)) | (~node120(c_s, s8, s9))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 12.36/12.54 tff(11814,plain,
% 12.36/12.54 ($false),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11813, 3581, 11807, 11806, 11805])).
% 12.36/12.54 tff(11815,plain,((~node120(c_s, s8, s9)) | m_state_v_PM(c_s, s9, c_idle) | (~m_state_v_PM(c_s, s8, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.36/12.54 tff(11816,plain,
% 12.36/12.54 (m_state_v_PM(c_s, s9, c_idle)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11815, 11804, 11694])).
% 12.36/12.54 tff(11817,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node58(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node58(c_s, s8)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11818,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s8) | (~node58(c_s, s8)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11819,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s8) | (~node58(c_s, s8))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 12.36/12.54 tff(11820,plain,
% 12.36/12.54 (~node58(c_s, s8)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11819, 3216, 11766])).
% 12.36/12.54 tff(11821,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11822,plain,
% 12.36/12.54 (((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up))) <=> (m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11823,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8))))),
% 12.36/12.54 inference(monotonicity,[status(thm)],[11822])).
% 12.36/12.54 tff(11824,plain,
% 12.36/12.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8)))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11823, 11821])).
% 12.36/12.54 tff(11825,plain,
% 12.36/12.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s7, s8)) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11826,plain,
% 12.36/12.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s7, c_up) | (~m_state_v_PM(c_s, s8, c_up)) | (~node120(c_s, s7, s8))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 12.36/12.54 tff(11827,plain,
% 12.36/12.54 (~m_state_v_PM(c_s, s8, c_up)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11826, 3041, 11708, 11682])).
% 12.36/12.54 tff(11828,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s8, c_up) | (~node57(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s8, c_up) | (~node57(c_s, s8)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11829,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s8, c_up) | (~node57(c_s, s8)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11830,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s8, c_up) | (~node57(c_s, s8))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 12.36/12.54 tff(11831,plain,
% 12.36/12.54 (~node57(c_s, s8)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11830, 3205, 11827])).
% 12.36/12.54 tff(11832,plain,
% 12.36/12.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s8, s9))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11833,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s8, s9))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11834,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s8, s9)),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 12.36/12.54 tff(11835,plain,
% 12.36/12.54 (node60(c_s, s8, s9)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11834, 28, 3194, 5508])).
% 12.36/12.54 tff(11836,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11837,plain,
% 12.36/12.54 ((node57(c_s, s8) | node58(c_s, s8) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9))) <=> (node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11838,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s8) | node58(c_s, s8) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8)))),
% 12.36/12.54 inference(monotonicity,[status(thm)],[11837])).
% 12.36/12.54 tff(11839,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s8) | node58(c_s, s8) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11838, 11836])).
% 12.36/12.54 tff(11840,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s8) | node58(c_s, s8) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11841,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s8, s9) | (~node60(c_s, s8, s9)) | node58(c_s, s8) | node57(c_s, s8)),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11840, 11839])).
% 12.36/12.54 tff(11842,plain,
% 12.36/12.54 (node59(c_s, s8, s9) | node58(c_s, s8) | node57(c_s, s8)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11841, 3230, 11835])).
% 12.36/12.54 tff(11843,plain,
% 12.36/12.54 (node59(c_s, s8, s9)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11842, 11831, 11820])).
% 12.36/12.54 tff(11844,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node58(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node58(c_s, s4)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11845,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node58(c_s, s4)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11846,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node58(c_s, s4))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 12.36/12.54 tff(11847,plain,
% 12.36/12.54 (~node58(c_s, s4)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11846, 3216, 10936])).
% 12.36/12.54 tff(11848,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node57(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node57(c_s, s4)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11849,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node57(c_s, s4)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11850,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node57(c_s, s4))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 12.36/12.54 tff(11851,plain,
% 12.36/12.54 (~node57(c_s, s4)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11850, 3205, 11042])).
% 12.36/12.54 tff(11852,assumption,(~node60(c_s, s4, s5)), introduced(assumption)).
% 12.36/12.54 tff(11853,plain,
% 12.36/12.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s4, s5))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11854,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s4, s5))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11855,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s4, s5)),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 12.36/12.54 tff(11856,plain,
% 12.36/12.54 ($false),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11855, 28, 3194, 4253, 11852])).
% 12.36/12.54 tff(11857,plain,(node60(c_s, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.54 tff(11858,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11859,plain,
% 12.36/12.54 ((node57(c_s, s4) | node58(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5))) <=> (node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11860,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s4) | node58(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5))))),
% 12.36/12.54 inference(monotonicity,[status(thm)],[11859])).
% 12.36/12.54 tff(11861,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s4) | node58(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11860, 11858])).
% 12.36/12.54 tff(11862,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s4) | node58(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11863,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5) | (~node60(c_s, s4, s5))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 12.36/12.54 tff(11864,plain,
% 12.36/12.54 (node58(c_s, s4) | node57(c_s, s4) | node59(c_s, s4, s5)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11863, 3230, 11857])).
% 12.36/12.54 tff(11865,plain,
% 12.36/12.54 (node59(c_s, s4, s5)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11864, 11851, 11847])).
% 12.36/12.54 tff(11866,plain,
% 12.36/12.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11867,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11868,plain,
% 12.36/12.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4)),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11867, 11866])).
% 12.36/12.54 tff(11869,plain,
% 12.36/12.54 (node60(c_s, s3, s4)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11868, 28, 3194, 1179])).
% 12.36/12.54 tff(11870,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11871,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11872,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 12.36/12.54 tff(11873,plain,
% 12.36/12.54 (~node57(c_s, s3)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11872, 3205, 5665])).
% 12.36/12.54 tff(11874,plain,
% 12.36/12.54 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))))),
% 12.36/12.54 inference(bind,[status(th)],[])).
% 12.36/12.54 tff(11875,plain,
% 12.36/12.54 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 12.36/12.54 inference(quant_intro,[status(thm)],[11874])).
% 12.36/12.54 tff(11876,plain,
% 12.36/12.54 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11877,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_119')).
% 12.36/12.54 tff(11878,plain,
% 12.36/12.54 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 12.36/12.54 tff(11879,plain,(
% 12.36/12.54 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 12.36/12.54 inference(skolemize,[status(sab)],[11878])).
% 12.36/12.54 tff(11880,plain,
% 12.36/12.54 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11879, 11875])).
% 12.36/12.54 tff(11881,plain,
% 12.36/12.54 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node58(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node58(c_s, s3)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11882,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node58(c_s, s3)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11883,plain,
% 12.36/12.54 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node58(c_s, s3))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 12.36/12.54 tff(11884,plain,
% 12.36/12.54 (~node58(c_s, s3)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11883, 11880, 10908])).
% 12.36/12.54 tff(11885,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11886,plain,
% 12.36/12.54 ((node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4))) <=> (node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4)))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11887,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4))))),
% 12.36/12.54 inference(monotonicity,[status(thm)],[11886])).
% 12.36/12.54 tff(11888,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4)))),
% 12.36/12.54 inference(transitivity,[status(thm)],[11887, 11885])).
% 12.36/12.54 tff(11889,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11890,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node59(c_s, s3, s4) | node58(c_s, s3) | node57(c_s, s3) | (~node60(c_s, s3, s4))),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11889, 11888])).
% 12.36/12.54 tff(11891,plain,
% 12.36/12.54 (node59(c_s, s3, s4)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11890, 3230, 11884, 11873, 11869])).
% 12.36/12.54 tff(11892,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))),
% 12.36/12.54 inference(rewrite,[status(thm)],[])).
% 12.36/12.54 tff(11893,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))),
% 12.36/12.54 inference(quant_inst,[status(thm)],[])).
% 12.36/12.54 tff(11894,plain,
% 12.36/12.54 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4)),
% 12.36/12.54 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 12.36/12.54 tff(11895,plain,
% 12.36/12.54 (m_state_v_botPosP(c_s, s4)),
% 12.36/12.54 inference(unit_resolution,[status(thm)],[11894, 3256, 11387, 11891])).
% 12.36/12.54 tff(11896,plain,
% 12.36/12.54 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s4)) | (~node59(c_s, s4, s5)) | m_state_v_botPosP(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s4)) | (~node59(c_s, s4, s5)) | m_state_v_botPosP(c_s, s5))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11897,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s4)) | (~node59(c_s, s4, s5)) | m_state_v_botPosP(c_s, s5))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11898,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s4)) | (~node59(c_s, s4, s5)) | m_state_v_botPosP(c_s, s5)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 12.36/12.55 tff(11899,plain,
% 12.36/12.55 (m_state_v_botPosP(c_s, s5)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11898, 3256, 11895, 11865])).
% 12.36/12.55 tff(11900,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node58(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node58(c_s, s5)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11901,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node58(c_s, s5)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11902,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node58(c_s, s5))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 12.36/12.55 tff(11903,plain,
% 12.36/12.55 (~node58(c_s, s5)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11902, 3216, 11165])).
% 12.36/12.55 tff(11904,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node57(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node57(c_s, s5)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11905,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node57(c_s, s5)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11906,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node57(c_s, s5))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 12.36/12.55 tff(11907,plain,
% 12.36/12.55 (~node57(c_s, s5)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11906, 3205, 11049])).
% 12.36/12.55 tff(11908,assumption,(~node60(c_s, s5, s6)), introduced(assumption)).
% 12.36/12.55 tff(11909,plain,
% 12.36/12.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s5, s6))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11910,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s5, s6))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11911,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s5, s6)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 12.36/12.55 tff(11912,plain,
% 12.36/12.55 ($false),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11911, 28, 3194, 15, 11908])).
% 12.36/12.55 tff(11913,plain,(node60(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.55 tff(11914,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11915,plain,
% 12.36/12.55 ((node57(c_s, s5) | node58(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6))) <=> (node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11916,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s5) | node58(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6))))),
% 12.36/12.55 inference(monotonicity,[status(thm)],[11915])).
% 12.36/12.55 tff(11917,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s5) | node58(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))),
% 12.36/12.55 inference(transitivity,[status(thm)],[11916, 11914])).
% 12.36/12.55 tff(11918,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s5) | node58(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11919,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6) | (~node60(c_s, s5, s6))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 12.36/12.55 tff(11920,plain,
% 12.36/12.55 (node58(c_s, s5) | node57(c_s, s5) | node59(c_s, s5, s6)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11919, 3230, 11913])).
% 12.36/12.55 tff(11921,plain,
% 12.36/12.55 (node59(c_s, s5, s6)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11920, 11907, 11903])).
% 12.36/12.55 tff(11922,assumption,(node59(c_s, s5, s6)), introduced(assumption)).
% 12.36/12.55 tff(11923,assumption,(~m_state_v_botPosP(c_s, s6)), introduced(assumption)).
% 12.36/12.55 tff(11924,assumption,(m_state_v_botPosP(c_s, s5)), introduced(assumption)).
% 12.36/12.55 tff(11925,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s5)) | (~node59(c_s, s5, s6)) | m_state_v_botPosP(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s5)) | (~node59(c_s, s5, s6)) | m_state_v_botPosP(c_s, s6))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11926,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s5)) | (~node59(c_s, s5, s6)) | m_state_v_botPosP(c_s, s6))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11927,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s5)) | (~node59(c_s, s5, s6)) | m_state_v_botPosP(c_s, s6)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 12.36/12.55 tff(11928,plain,
% 12.36/12.55 ($false),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11927, 3256, 11924, 11923, 11922])).
% 12.36/12.55 tff(11929,plain,((~node59(c_s, s5, s6)) | (~m_state_v_botPosP(c_s, s5)) | m_state_v_botPosP(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.55 tff(11930,plain,
% 12.36/12.55 (m_state_v_botPosP(c_s, s6)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11929, 11921, 11899])).
% 12.36/12.55 tff(11931,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node58(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node58(c_s, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11932,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node58(c_s, s6)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11933,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node58(c_s, s6))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 12.36/12.55 tff(11934,plain,
% 12.36/12.55 (~node58(c_s, s6)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11933, 3216, 11485])).
% 12.36/12.55 tff(11935,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node57(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node57(c_s, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11936,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node57(c_s, s6)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11937,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node57(c_s, s6))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 12.36/12.55 tff(11938,plain,
% 12.36/12.55 (~node57(c_s, s6)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11937, 3205, 11564])).
% 12.36/12.55 tff(11939,assumption,(~node60(c_s, s6, s7)), introduced(assumption)).
% 12.36/12.55 tff(11940,plain,
% 12.36/12.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s6, s7))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11941,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s6, s7))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11942,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s6, s7)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 12.36/12.55 tff(11943,plain,
% 12.36/12.55 ($false),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11942, 28, 3194, 5162, 11939])).
% 12.36/12.55 tff(11944,plain,(node60(c_s, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.55 tff(11945,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s6) | node58(c_s, s6) | node59(c_s, s6, s7) | (~node60(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s6) | node58(c_s, s6) | node59(c_s, s6, s7) | (~node60(c_s, s6, s7)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11946,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s6) | node58(c_s, s6) | node59(c_s, s6, s7) | (~node60(c_s, s6, s7)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11947,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s6) | node58(c_s, s6) | node59(c_s, s6, s7) | (~node60(c_s, s6, s7))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 12.36/12.55 tff(11948,plain,
% 12.36/12.55 (node57(c_s, s6) | node58(c_s, s6) | node59(c_s, s6, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11947, 3230, 11944])).
% 12.36/12.55 tff(11949,plain,
% 12.36/12.55 (node59(c_s, s6, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11948, 11938, 11934])).
% 12.36/12.55 tff(11950,assumption,(node59(c_s, s6, s7)), introduced(assumption)).
% 12.36/12.55 tff(11951,assumption,(m_state_v_botPosP(c_s, s6)), introduced(assumption)).
% 12.36/12.55 tff(11952,assumption,(~m_state_v_botPosP(c_s, s7)), introduced(assumption)).
% 12.36/12.55 tff(11953,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s6)) | (~node59(c_s, s6, s7)) | m_state_v_botPosP(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s6)) | (~node59(c_s, s6, s7)) | m_state_v_botPosP(c_s, s7))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11954,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s6)) | (~node59(c_s, s6, s7)) | m_state_v_botPosP(c_s, s7))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11955,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s6)) | (~node59(c_s, s6, s7)) | m_state_v_botPosP(c_s, s7)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 12.36/12.55 tff(11956,plain,
% 12.36/12.55 ($false),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11955, 3256, 11952, 11951, 11950])).
% 12.36/12.55 tff(11957,plain,((~node59(c_s, s6, s7)) | m_state_v_botPosP(c_s, s7) | (~m_state_v_botPosP(c_s, s6))), inference(lemma,lemma(discharge,[]))).
% 12.36/12.55 tff(11958,plain,
% 12.36/12.55 (m_state_v_botPosP(c_s, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11957, 11949, 11930])).
% 12.36/12.55 tff(11959,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node58(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node58(c_s, s7)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11960,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s7) | (~node58(c_s, s7)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11961,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s7) | (~node58(c_s, s7))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 12.36/12.55 tff(11962,plain,
% 12.36/12.55 (~node58(c_s, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11961, 3216, 11597])).
% 12.36/12.55 tff(11963,plain,
% 12.36/12.55 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node57(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node57(c_s, s7)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11964,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node57(c_s, s7)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11965,plain,
% 12.36/12.55 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node57(c_s, s7))),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 12.36/12.55 tff(11966,plain,
% 12.36/12.55 (~node57(c_s, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11965, 3205, 11708])).
% 12.36/12.55 tff(11967,plain,
% 12.36/12.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s7, s8))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11968,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s7, s8))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11969,plain,
% 12.36/12.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s7, s8)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 12.36/12.55 tff(11970,plain,
% 12.36/12.55 (node60(c_s, s7, s8)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11969, 28, 3194, 5304])).
% 12.36/12.55 tff(11971,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11972,plain,
% 12.36/12.55 ((node57(c_s, s7) | node58(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8))) <=> (node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11973,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s7) | node58(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7)))),
% 12.36/12.55 inference(monotonicity,[status(thm)],[11972])).
% 12.36/12.55 tff(11974,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s7) | node58(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7))),
% 12.36/12.55 inference(transitivity,[status(thm)],[11973, 11971])).
% 12.36/12.55 tff(11975,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s7) | node58(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11976,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s7) | node59(c_s, s7, s8) | (~node60(c_s, s7, s8)) | node58(c_s, s7)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11975, 11974])).
% 12.36/12.55 tff(11977,plain,
% 12.36/12.55 (node57(c_s, s7) | node59(c_s, s7, s8) | node58(c_s, s7)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11976, 3230, 11970])).
% 12.36/12.55 tff(11978,plain,
% 12.36/12.55 (node59(c_s, s7, s8)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11977, 11966, 11962])).
% 12.36/12.55 tff(11979,assumption,(~m_state_v_botPosP(c_s, s8)), introduced(assumption)).
% 12.36/12.55 tff(11980,assumption,(m_state_v_botPosP(c_s, s7)), introduced(assumption)).
% 12.36/12.55 tff(11981,assumption,(node59(c_s, s7, s8)), introduced(assumption)).
% 12.36/12.55 tff(11982,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s7)) | (~node59(c_s, s7, s8)) | m_state_v_botPosP(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s7)) | (~node59(c_s, s7, s8)) | m_state_v_botPosP(c_s, s8))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11983,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s7)) | (~node59(c_s, s7, s8)) | m_state_v_botPosP(c_s, s8))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11984,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s7)) | (~node59(c_s, s7, s8)) | m_state_v_botPosP(c_s, s8)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11983, 11982])).
% 12.36/12.55 tff(11985,plain,
% 12.36/12.55 ($false),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11984, 3256, 11981, 11980, 11979])).
% 12.36/12.55 tff(11986,plain,((~node59(c_s, s7, s8)) | (~m_state_v_botPosP(c_s, s7)) | m_state_v_botPosP(c_s, s8)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.55 tff(11987,plain,
% 12.36/12.55 (m_state_v_botPosP(c_s, s8)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11986, 11978, 11958])).
% 12.36/12.55 tff(11988,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s8)) | (~node59(c_s, s8, s9)) | m_state_v_botPosP(c_s, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s8)) | (~node59(c_s, s8, s9)) | m_state_v_botPosP(c_s, s9))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11989,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s8)) | (~node59(c_s, s8, s9)) | m_state_v_botPosP(c_s, s9))),
% 12.36/12.55 inference(quant_inst,[status(thm)],[])).
% 12.36/12.55 tff(11990,plain,
% 12.36/12.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s8)) | (~node59(c_s, s8, s9)) | m_state_v_botPosP(c_s, s9)),
% 12.36/12.55 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 12.36/12.55 tff(11991,plain,
% 12.36/12.55 (m_state_v_botPosP(c_s, s9)),
% 12.36/12.55 inference(unit_resolution,[status(thm)],[11990, 3256, 11987, 11843])).
% 12.36/12.55 tff(11992,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11993,plain,
% 12.36/12.55 (((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~node141(c_s, s9, s6)) | m_state_v_A2M(c_s, s6, c_extend)) <=> ((~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6)))),
% 12.36/12.55 inference(rewrite,[status(thm)],[])).
% 12.36/12.55 tff(11994,plain,
% 12.36/12.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~node141(c_s, s9, s6)) | m_state_v_A2M(c_s, s6, c_extend))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6))))),
% 12.36/12.56 inference(monotonicity,[status(thm)],[11993])).
% 12.36/12.56 tff(11995,plain,
% 12.36/12.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~node141(c_s, s9, s6)) | m_state_v_A2M(c_s, s6, c_extend))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6)))),
% 12.36/12.56 inference(transitivity,[status(thm)],[11994, 11992])).
% 12.36/12.56 tff(11996,plain,
% 12.36/12.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~node141(c_s, s9, s6)) | m_state_v_A2M(c_s, s6, c_extend))),
% 12.36/12.56 inference(quant_inst,[status(thm)],[])).
% 12.36/12.56 tff(11997,plain,
% 12.36/12.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_botPosP(J0, X)) | (~m_state_v_pl(J0, X)) | (~m_state_v_PM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | (~node141(J0, X, Y)) | m_state_v_A2M(J0, Y, c_extend))) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_botPosP(c_s, s9)) | (~m_state_v_PM(c_s, s9, c_idle)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 12.36/12.56 tff(11998,plain,
% 12.36/12.56 ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_pl(c_s, s9)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | (~m_state_v_RRM(c_s, s9, c_idle)) | (~node141(c_s, s9, s6))),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[11997, 6236, 11991, 11816, 10871, 10867, 10843])).
% 12.36/12.56 tff(11999,plain,
% 12.36/12.56 (~node141(c_s, s9, s6)),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[11998, 10812, 10711, 10676, 10669, 10644, 10237, 10218])).
% 12.36/12.56 tff(12000,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12001,plain,
% 12.36/12.56 (((~trans(s9, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s9, s6)) <=> ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12002,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6)))),
% 12.36/12.56 inference(monotonicity,[status(thm)],[12001])).
% 12.36/12.56 tff(12003,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6))),
% 12.36/12.56 inference(transitivity,[status(thm)],[12002, 12000])).
% 12.36/12.56 tff(12004,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s9, s6))),
% 12.36/12.56 inference(quant_inst,[status(thm)],[])).
% 12.36/12.56 tff(12005,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s6)) | node141(c_s, s9, s6)),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 12.36/12.56 tff(12006,plain,
% 12.36/12.56 (~trans(s9, s6)),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[12005, 52, 49, 11999])).
% 12.36/12.56 tff(12007,plain,
% 12.36/12.56 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12008,plain,
% 12.36/12.56 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12007])).
% 12.36/12.56 tff(12009,plain,
% 12.36/12.56 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12010,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_35')).
% 12.36/12.56 tff(12011,plain,
% 12.36/12.56 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 12.36/12.56 tff(12012,plain,(
% 12.36/12.56 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 12.36/12.56 inference(skolemize,[status(sab)],[12011])).
% 12.36/12.56 tff(12013,plain,
% 12.36/12.56 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12012, 12008])).
% 12.36/12.56 tff(12014,plain,
% 12.36/12.56 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12015,plain,
% 12.36/12.56 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))),
% 12.36/12.56 inference(quant_inst,[status(thm)],[])).
% 12.36/12.56 tff(12016,plain,
% 12.36/12.56 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 12.36/12.56 tff(12017,plain,
% 12.36/12.56 (~node13(c_s, s5)),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[12016, 12013, 8873])).
% 12.36/12.56 tff(12018,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12019,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12018])).
% 12.36/12.56 tff(12020,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12021,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12022,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12021])).
% 12.36/12.56 tff(12023,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_44')).
% 12.36/12.56 tff(12024,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 12.36/12.56 tff(12025,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12024, 12020])).
% 12.36/12.56 tff(12026,plain,(
% 12.36/12.56 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(skolemize,[status(sab)],[12025])).
% 12.36/12.56 tff(12027,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12026, 12019])).
% 12.36/12.56 tff(12028,plain,
% 12.36/12.56 (m_Crane_v_s(c_CR, c_s) <=> m_Crane_v_s(c_CR, c_s)),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12029,axiom,(m_Crane_v_s(c_CR, c_s)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 12.36/12.56 tff(12030,plain,
% 12.36/12.56 (m_Crane_v_s(c_CR, c_s)),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 12.36/12.56 tff(12031,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12032,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))),
% 12.36/12.56 inference(quant_inst,[status(thm)],[])).
% 12.36/12.56 tff(12033,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4)),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 12.36/12.56 tff(12034,plain,
% 12.36/12.56 (node99(c_s, s3, s4)),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[12033, 12030, 12027, 1179])).
% 12.36/12.56 tff(12035,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12036,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12035])).
% 12.36/12.56 tff(12037,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12038,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12039,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12038])).
% 12.36/12.56 tff(12040,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_191')).
% 12.36/12.56 tff(12041,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 12.36/12.56 tff(12042,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12041, 12037])).
% 12.36/12.56 tff(12043,plain,(
% 12.36/12.56 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(skolemize,[status(sab)],[12042])).
% 12.36/12.56 tff(12044,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12043, 12036])).
% 12.36/12.56 tff(12045,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12046,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))),
% 12.36/12.56 inference(quant_inst,[status(thm)],[])).
% 12.36/12.56 tff(12047,plain,
% 12.36/12.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3)),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 12.36/12.56 tff(12048,plain,
% 12.36/12.56 (node82(c_s, s2, s3)),
% 12.36/12.56 inference(unit_resolution,[status(thm)],[12047, 28, 12044, 794])).
% 12.36/12.56 tff(12049,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12050,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12049])).
% 12.36/12.56 tff(12051,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(rewrite,[status(thm)],[])).
% 12.36/12.56 tff(12052,plain,
% 12.36/12.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))))),
% 12.36/12.56 inference(bind,[status(th)],[])).
% 12.36/12.56 tff(12053,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(quant_intro,[status(thm)],[12052])).
% 12.36/12.56 tff(12054,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_204')).
% 12.36/12.56 tff(12055,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 12.36/12.56 tff(12056,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12055, 12051])).
% 12.36/12.56 tff(12057,plain,(
% 12.36/12.56 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(skolemize,[status(sab)],[12056])).
% 12.36/12.56 tff(12058,plain,
% 12.36/12.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 12.36/12.56 inference(modus_ponens,[status(thm)],[12057, 12050])).
% 12.36/12.56 tff(12059,plain,
% 12.36/12.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s1, s2))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12060,plain,
% 12.36/12.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s1, s2))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12061,plain,
% 12.36/12.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s1, s2)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 12.36/12.57 tff(12062,plain,
% 12.36/12.57 (node87(c_s, s1, s2)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12061, 28, 12058, 226])).
% 12.36/12.57 tff(12063,plain,
% 12.36/12.57 (^[I0: $i] : refl(m_state_v_CVM(I0, s0, c_idle) <=> m_state_v_CVM(I0, s0, c_idle))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12064,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12063])).
% 12.36/12.57 tff(12065,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12066,axiom,(![I0: $i] : m_state_v_CVM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_111')).
% 12.36/12.57 tff(12067,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 12.36/12.57 tff(12068,plain,(
% 12.36/12.57 ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 12.36/12.57 inference(skolemize,[status(sab)],[12067])).
% 12.36/12.57 tff(12069,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12068, 12064])).
% 12.36/12.57 tff(12070,plain,
% 12.36/12.57 ((~![I0: $i] : m_state_v_CVM(I0, s0, c_idle)) | m_state_v_CVM(c_s, s0, c_idle)),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12071,plain,
% 12.36/12.57 (m_state_v_CVM(c_s, s0, c_idle)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12070, 12069])).
% 12.36/12.57 tff(12072,plain,
% 12.36/12.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12073,plain,
% 12.36/12.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12074,plain,
% 12.36/12.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 12.36/12.57 tff(12075,plain,
% 12.36/12.57 (node99(c_s, s0, s1)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12074, 12030, 12027, 39])).
% 12.36/12.57 tff(12076,plain,
% 12.36/12.57 (^[I0: $i] : refl(m_state_v_CMag(I0, s0, c_on) <=> m_state_v_CMag(I0, s0, c_on))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12077,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CMag(I0, s0, c_on) <=> ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12076])).
% 12.36/12.57 tff(12078,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CMag(I0, s0, c_on) <=> ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12079,axiom,(![I0: $i] : m_state_v_CMag(I0, s0, c_on)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_107')).
% 12.36/12.57 tff(12080,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 12.36/12.57 tff(12081,plain,(
% 12.36/12.57 ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 12.36/12.57 inference(skolemize,[status(sab)],[12080])).
% 12.36/12.57 tff(12082,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12081, 12077])).
% 12.36/12.57 tff(12083,plain,
% 12.36/12.57 ((~![I0: $i] : m_state_v_CMag(I0, s0, c_on)) | m_state_v_CMag(c_s, s0, c_on)),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12084,plain,
% 12.36/12.57 (m_state_v_CMag(c_s, s0, c_on)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12083, 12082])).
% 12.36/12.57 tff(12085,plain,
% 12.36/12.57 (^[I0: $i] : refl(m_state_v_gvp(I0, s0, c_ovb) <=> m_state_v_gvp(I0, s0, c_ovb))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12086,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb) <=> ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12085])).
% 12.36/12.57 tff(12087,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb) <=> ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12088,axiom,(![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_109')).
% 12.36/12.57 tff(12089,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 12.36/12.57 tff(12090,plain,(
% 12.36/12.57 ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 12.36/12.57 inference(skolemize,[status(sab)],[12089])).
% 12.36/12.57 tff(12091,plain,
% 12.36/12.57 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12090, 12086])).
% 12.36/12.57 tff(12092,plain,
% 12.36/12.57 ((~![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)) | m_state_v_gvp(c_s, s0, c_ovb)),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12093,plain,
% 12.36/12.57 (m_state_v_gvp(c_s, s0, c_ovb)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12092, 12091])).
% 12.36/12.57 tff(12094,plain,
% 12.36/12.57 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12095,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12094])).
% 12.36/12.57 tff(12096,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12097,plain,
% 12.36/12.57 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on)))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))))), ((((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) | (~node99(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) | (~node99(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))), ((((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12098,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12097])).
% 12.36/12.57 tff(12099,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_37')).
% 12.36/12.57 tff(12100,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 12.36/12.57 tff(12101,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12100, 12096])).
% 12.36/12.57 tff(12102,plain,(
% 12.36/12.57 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12101])).
% 12.36/12.57 tff(12103,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12102, 12095])).
% 12.36/12.57 tff(12104,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12105,plain,
% 12.36/12.57 (((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on))) <=> ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12106,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle))))),
% 12.36/12.57 inference(monotonicity,[status(thm)],[12105])).
% 12.36/12.57 tff(12107,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle)))),
% 12.36/12.57 inference(transitivity,[status(thm)],[12106, 12104])).
% 12.36/12.57 tff(12108,plain,
% 12.36/12.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12109,plain,
% 12.36/12.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)) | (~m_state_v_CVM(c_s, s0, c_idle))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 12.36/12.57 tff(12110,plain,
% 12.36/12.57 (m_state_v_CVM(c_s, s1, c_up)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12109, 12103, 12093, 12084, 12075, 12071])).
% 12.36/12.57 tff(12111,plain,
% 12.36/12.57 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12112,plain,
% 12.36/12.57 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12111])).
% 12.36/12.57 tff(12113,plain,
% 12.36/12.57 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12114,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_21')).
% 12.36/12.57 tff(12115,plain,
% 12.36/12.57 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 12.36/12.57 tff(12116,plain,(
% 12.36/12.57 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12115])).
% 12.36/12.57 tff(12117,plain,
% 12.36/12.57 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12116, 12112])).
% 12.36/12.57 tff(12118,plain,
% 12.36/12.57 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12119,plain,
% 12.36/12.57 (((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle))) <=> ((~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12120,plain,
% 12.36/12.57 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up))))),
% 12.36/12.57 inference(monotonicity,[status(thm)],[12119])).
% 12.36/12.57 tff(12121,plain,
% 12.36/12.57 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 12.36/12.57 inference(transitivity,[status(thm)],[12120, 12118])).
% 12.36/12.57 tff(12122,plain,
% 12.36/12.57 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12123,plain,
% 12.36/12.57 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s1, c_idle)) | (~m_state_v_CVM(c_s, s1, c_up))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 12.36/12.57 tff(12124,plain,
% 12.36/12.57 (~m_state_v_CVM(c_s, s1, c_idle)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12123, 12117, 12110])).
% 12.36/12.57 tff(12125,plain,
% 12.36/12.57 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12126,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12125])).
% 12.36/12.57 tff(12127,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12128,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_192')).
% 12.36/12.57 tff(12129,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 12.36/12.57 tff(12130,plain,(
% 12.36/12.57 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12129])).
% 12.36/12.57 tff(12131,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12130, 12126])).
% 12.36/12.57 tff(12132,plain,
% 12.36/12.57 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node83(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node83(c_s, s1)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12133,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node83(c_s, s1)))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12134,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node83(c_s, s1))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 12.36/12.57 tff(12135,plain,
% 12.36/12.57 (~node83(c_s, s1)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12134, 12131, 12124])).
% 12.36/12.57 tff(12136,plain,
% 12.36/12.57 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12137,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12136])).
% 12.36/12.57 tff(12138,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12139,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_194')).
% 12.36/12.57 tff(12140,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 12.36/12.57 tff(12141,plain,(
% 12.36/12.57 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12140])).
% 12.36/12.57 tff(12142,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12141, 12137])).
% 12.36/12.57 tff(12143,plain,
% 12.36/12.57 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node84(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node84(c_s, s1)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12144,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node84(c_s, s1)))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12145,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node84(c_s, s1))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 12.36/12.57 tff(12146,plain,
% 12.36/12.57 (~node84(c_s, s1)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12145, 12142, 12124])).
% 12.36/12.57 tff(12147,plain,
% 12.36/12.57 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12148,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12147])).
% 12.36/12.57 tff(12149,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12150,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_196')).
% 12.36/12.57 tff(12151,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 12.36/12.57 tff(12152,plain,(
% 12.36/12.57 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12151])).
% 12.36/12.57 tff(12153,plain,
% 12.36/12.57 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12152, 12148])).
% 12.36/12.57 tff(12154,plain,
% 12.36/12.57 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node85(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node85(c_s, s1)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12155,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node85(c_s, s1)))),
% 12.36/12.57 inference(quant_inst,[status(thm)],[])).
% 12.36/12.57 tff(12156,plain,
% 12.36/12.57 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node85(c_s, s1))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 12.36/12.57 tff(12157,plain,
% 12.36/12.57 (~node85(c_s, s1)),
% 12.36/12.57 inference(unit_resolution,[status(thm)],[12156, 12153, 12124])).
% 12.36/12.57 tff(12158,plain,
% 12.36/12.57 (^[Y: $i, X: $i, J0: $i] : refl((node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y))) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12159,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12158])).
% 12.36/12.57 tff(12160,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12161,plain,
% 12.36/12.57 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node83(J0, X) | node84(J0, X)) | node85(J0, X)) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X))), ((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) <=> ((node83(J0, X) | node84(J0, X) | node85(J0, X)) | node86(J0, X, Y)))), rewrite(((node83(J0, X) | node84(J0, X) | node85(J0, X)) | node86(J0, X, Y)) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y))), ((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y)))), (((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) | (~node87(J0, X, Y))) <=> ((node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y)) | (~node87(J0, X, Y))))), rewrite(((node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y)) | (~node87(J0, X, Y))) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))), (((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) | (~node87(J0, X, Y))) <=> (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))))),
% 12.36/12.57 inference(bind,[status(th)],[])).
% 12.36/12.57 tff(12162,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : ((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(quant_intro,[status(thm)],[12161])).
% 12.36/12.57 tff(12163,axiom,(![Y: $i, X: $i, J0: $i] : ((((node83(J0, X) | node84(J0, X)) | node85(J0, X)) | node86(J0, X, Y)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_203')).
% 12.36/12.57 tff(12164,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 12.36/12.57 tff(12165,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12164, 12160])).
% 12.36/12.57 tff(12166,plain,(
% 12.36/12.57 ![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(skolemize,[status(sab)],[12165])).
% 12.36/12.57 tff(12167,plain,
% 12.36/12.57 (![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))),
% 12.36/12.57 inference(modus_ponens,[status(thm)],[12166, 12159])).
% 12.36/12.57 tff(12168,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12169,plain,
% 12.36/12.57 ((node83(c_s, s1) | node84(c_s, s1) | node85(c_s, s1) | node86(c_s, s1, s2) | (~node87(c_s, s1, s2))) <=> (node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2))),
% 12.36/12.57 inference(rewrite,[status(thm)],[])).
% 12.36/12.57 tff(12170,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s1) | node84(c_s, s1) | node85(c_s, s1) | node86(c_s, s1, s2) | (~node87(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2)))),
% 12.36/12.57 inference(monotonicity,[status(thm)],[12169])).
% 12.36/12.57 tff(12171,plain,
% 12.36/12.57 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s1) | node84(c_s, s1) | node85(c_s, s1) | node86(c_s, s1, s2) | (~node87(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2))),
% 12.36/12.58 inference(transitivity,[status(thm)],[12170, 12168])).
% 12.36/12.58 tff(12172,plain,
% 12.36/12.58 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s1) | node84(c_s, s1) | node85(c_s, s1) | node86(c_s, s1, s2) | (~node87(c_s, s1, s2)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12173,plain,
% 12.36/12.58 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s1) | node84(c_s, s1) | node83(c_s, s1) | (~node87(c_s, s1, s2)) | node86(c_s, s1, s2)),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 12.36/12.58 tff(12174,plain,
% 12.36/12.58 (node86(c_s, s1, s2)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12173, 12167, 12157, 12146, 12135, 12062])).
% 12.36/12.58 tff(12175,assumption,(~node87(c_s, s0, s1)), introduced(assumption)).
% 12.36/12.58 tff(12176,plain,
% 12.36/12.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12177,plain,
% 12.36/12.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12178,plain,
% 12.36/12.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1)),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 12.36/12.58 tff(12179,plain,
% 12.36/12.58 ($false),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12178, 28, 12058, 39, 12175])).
% 12.36/12.58 tff(12180,plain,(node87(c_s, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.58 tff(12181,plain,
% 12.36/12.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12182,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12181])).
% 12.36/12.58 tff(12183,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12184,plain,
% 12.36/12.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12185,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12184])).
% 12.36/12.58 tff(12186,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_200')).
% 12.36/12.58 tff(12187,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 12.36/12.58 tff(12188,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12187, 12183])).
% 12.36/12.58 tff(12189,plain,(
% 12.36/12.58 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12188])).
% 12.36/12.58 tff(12190,plain,
% 12.36/12.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12189, 12182])).
% 12.36/12.58 tff(12191,plain,
% 12.36/12.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12192,plain,
% 12.36/12.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12193,plain,
% 12.36/12.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12192, 12191])).
% 12.36/12.58 tff(12194,plain,
% 12.36/12.58 (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12193, 12190, 12093, 12071, 12180])).
% 12.36/12.58 tff(12195,plain,
% 12.36/12.58 (^[I0: $i, X: $i] : refl(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12196,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12195])).
% 12.36/12.58 tff(12197,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12198,axiom,(![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_68')).
% 12.36/12.58 tff(12199,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 12.36/12.58 tff(12200,plain,(
% 12.36/12.58 ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12199])).
% 12.36/12.58 tff(12201,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12200, 12196])).
% 12.36/12.58 tff(12202,plain,
% 12.36/12.58 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12203,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12204,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 12.36/12.58 tff(12205,plain,
% 12.36/12.58 (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12204, 12201, 12194])).
% 12.36/12.58 tff(12206,plain,
% 12.36/12.58 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V))) <=> ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12207,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12206])).
% 12.36/12.58 tff(12208,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12209,plain,
% 12.36/12.58 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gripper_status(J0, Y, V)) | m_state_v_gripper_status(J0, X, V)) | (~node86(J0, X, Y))) <=> ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12210,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gripper_status(J0, Y, V)) | m_state_v_gripper_status(J0, X, V)) | (~node86(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12209])).
% 12.36/12.58 tff(12211,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gripper_status(J0, Y, V)) | m_state_v_gripper_status(J0, X, V)) | (~node86(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_199')).
% 12.36/12.58 tff(12212,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 12.36/12.58 tff(12213,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12212, 12208])).
% 12.36/12.58 tff(12214,plain,(
% 12.36/12.58 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12213])).
% 12.36/12.58 tff(12215,plain,
% 12.36/12.58 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12214, 12207])).
% 12.36/12.58 tff(12216,plain,
% 12.36/12.58 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12217,plain,
% 12.36/12.58 (((~node86(c_s, s1, s2)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd))) <=> (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12218,plain,
% 12.36/12.58 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s1, s2)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2))))),
% 12.36/12.58 inference(monotonicity,[status(thm)],[12217])).
% 12.36/12.58 tff(12219,plain,
% 12.36/12.58 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s1, s2)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2)))),
% 12.36/12.58 inference(transitivity,[status(thm)],[12218, 12216])).
% 12.36/12.58 tff(12220,plain,
% 12.36/12.58 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s1, s2)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12221,plain,
% 12.36/12.58 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)) | (~node86(c_s, s1, s2))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 12.36/12.58 tff(12222,plain,
% 12.36/12.58 (~m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12221, 12215, 12205, 12174])).
% 12.36/12.58 tff(12223,plain,
% 12.36/12.58 (^[X: $i, J0: $i] : refl(((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)) <=> ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12224,plain,
% 12.36/12.58 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12223])).
% 12.36/12.58 tff(12225,plain,
% 12.36/12.58 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12226,plain,
% 12.36/12.58 (^[X: $i, J0: $i] : rewrite((m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd) | (~node78(J0, X))) <=> ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12227,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12226])).
% 12.36/12.58 tff(12228,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd) | (~node78(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_176')).
% 12.36/12.58 tff(12229,plain,
% 12.36/12.58 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 12.36/12.58 tff(12230,plain,
% 12.36/12.58 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12229, 12225])).
% 12.36/12.58 tff(12231,plain,(
% 12.36/12.58 ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12230])).
% 12.36/12.58 tff(12232,plain,
% 12.36/12.58 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12231, 12224])).
% 12.36/12.58 tff(12233,plain,
% 12.36/12.58 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | ((~node78(c_s, s2)) | m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~node78(c_s, s2)) | m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12234,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | ((~node78(c_s, s2)) | m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12235,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~node78(c_s, s2)) | m_state_v_gripper_status(c_s, s2, c_gripperstoppedat_sd)),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 12.36/12.58 tff(12236,plain,
% 12.36/12.58 (~node78(c_s, s2)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12235, 12232, 12222])).
% 12.36/12.58 tff(12237,assumption,(~node82(c_s, s0, s1)), introduced(assumption)).
% 12.36/12.58 tff(12238,plain,
% 12.36/12.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12239,plain,
% 12.36/12.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12240,plain,
% 12.36/12.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1)),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12239, 12238])).
% 12.36/12.58 tff(12241,plain,
% 12.36/12.58 ($false),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12240, 28, 12044, 39, 12237])).
% 12.36/12.58 tff(12242,plain,(node82(c_s, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 12.36/12.58 tff(12243,plain,
% 12.36/12.58 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12244,plain,
% 12.36/12.58 (((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle))) <=> ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12245,plain,
% 12.36/12.58 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up))))),
% 12.36/12.58 inference(monotonicity,[status(thm)],[12244])).
% 12.36/12.58 tff(12246,plain,
% 12.36/12.58 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 12.36/12.58 inference(transitivity,[status(thm)],[12245, 12243])).
% 12.36/12.58 tff(12247,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12248,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 12.36/12.58 tff(12249,plain,
% 12.36/12.58 (~m_state_v_CVM(c_s, s0, c_up)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12248, 12117, 12071])).
% 12.36/12.58 tff(12250,plain,
% 12.36/12.58 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12251,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12250])).
% 12.36/12.58 tff(12252,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12253,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_174')).
% 12.36/12.58 tff(12254,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 12.36/12.58 tff(12255,plain,(
% 12.36/12.58 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12254])).
% 12.36/12.58 tff(12256,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12255, 12251])).
% 12.36/12.58 tff(12257,plain,
% 12.36/12.58 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12258,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12259,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12258, 12257])).
% 12.36/12.58 tff(12260,plain,
% 12.36/12.58 (~node77(c_s, s0)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12259, 12256, 12249])).
% 12.36/12.58 tff(12261,plain,
% 12.36/12.58 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12262,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12261])).
% 12.36/12.58 tff(12263,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12264,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_70')).
% 12.36/12.58 tff(12265,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 12.36/12.58 tff(12266,plain,(
% 12.36/12.58 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12265])).
% 12.36/12.58 tff(12267,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12266, 12262])).
% 12.36/12.58 tff(12268,plain,
% 12.36/12.58 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12269,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12270,plain,
% 12.36/12.58 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 12.36/12.58 tff(12271,plain,
% 12.36/12.58 (~m_state_v_gvp(c_s, s0, c_ovf)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12270, 12267, 12093])).
% 12.36/12.58 tff(12272,plain,
% 12.36/12.58 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12273,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12272])).
% 12.36/12.58 tff(12274,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12275,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_178')).
% 12.36/12.58 tff(12276,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 12.36/12.58 tff(12277,plain,(
% 12.36/12.58 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12276])).
% 12.36/12.58 tff(12278,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12277, 12273])).
% 12.36/12.58 tff(12279,plain,
% 12.36/12.58 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12280,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12281,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 12.36/12.58 tff(12282,plain,
% 12.36/12.58 (~node79(c_s, s0)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12281, 12278, 12271])).
% 12.36/12.58 tff(12283,plain,
% 12.36/12.58 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12284,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12283])).
% 12.36/12.58 tff(12285,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12286,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_181')).
% 12.36/12.58 tff(12287,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 12.36/12.58 tff(12288,plain,(
% 12.36/12.58 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12287])).
% 12.36/12.58 tff(12289,plain,
% 12.36/12.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12288, 12284])).
% 12.36/12.58 tff(12290,plain,
% 12.36/12.58 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12291,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))),
% 12.36/12.58 inference(quant_inst,[status(thm)],[])).
% 12.36/12.58 tff(12292,plain,
% 12.36/12.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12291, 12290])).
% 12.36/12.58 tff(12293,plain,
% 12.36/12.58 (~node80(c_s, s0)),
% 12.36/12.58 inference(unit_resolution,[status(thm)],[12292, 12289, 12271])).
% 12.36/12.58 tff(12294,plain,
% 12.36/12.58 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))))),
% 12.36/12.58 inference(bind,[status(th)],[])).
% 12.36/12.58 tff(12295,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.36/12.58 inference(quant_intro,[status(thm)],[12294])).
% 12.36/12.58 tff(12296,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.36/12.58 inference(rewrite,[status(thm)],[])).
% 12.36/12.58 tff(12297,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_71')).
% 12.36/12.58 tff(12298,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.36/12.58 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 12.36/12.58 tff(12299,plain,(
% 12.36/12.58 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.36/12.58 inference(skolemize,[status(sab)],[12298])).
% 12.36/12.58 tff(12300,plain,
% 12.36/12.58 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12299, 12295])).
% 12.36/12.59 tff(12301,plain,
% 12.36/12.59 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12302,plain,
% 12.36/12.59 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12303,plain,
% 12.36/12.59 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 12.36/12.59 tff(12304,plain,
% 12.36/12.59 (~m_state_v_gvp(c_s, s0, c_sd)),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12303, 12300, 12093])).
% 12.36/12.59 tff(12305,plain,
% 12.36/12.59 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12306,plain,
% 12.36/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12305])).
% 12.36/12.59 tff(12307,plain,
% 12.36/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12308,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_175')).
% 12.36/12.59 tff(12309,plain,
% 12.36/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 12.36/12.59 tff(12310,plain,(
% 12.36/12.59 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 12.36/12.59 inference(skolemize,[status(sab)],[12309])).
% 12.36/12.59 tff(12311,plain,
% 12.36/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12310, 12306])).
% 12.36/12.59 tff(12312,plain,
% 12.36/12.59 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12313,plain,
% 12.36/12.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12314,plain,
% 12.36/12.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 12.36/12.59 tff(12315,plain,
% 12.36/12.59 (m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0))),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12314, 12311])).
% 12.36/12.59 tff(12316,plain,
% 12.36/12.59 (~node78(c_s, s0)),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12315, 12304])).
% 12.36/12.59 tff(12317,plain,
% 12.36/12.59 (^[Y: $i, X: $i, J0: $i] : refl((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12318,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12317])).
% 12.36/12.59 tff(12319,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12320,plain,
% 12.36/12.59 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node77(J0, X) | node78(J0, X)) | node79(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X))), ((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X)) | node80(J0, X)))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X)) | node80(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X))), ((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)))), (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)) | node81(J0, X, Y)))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)) | node81(J0, X, Y)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y))), (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)))), ((((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)) | (~node82(J0, X, Y))))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))), ((((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12321,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12320])).
% 12.36/12.59 tff(12322,axiom,(![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_190')).
% 12.36/12.59 tff(12323,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 12.36/12.59 tff(12324,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12323, 12319])).
% 12.36/12.59 tff(12325,plain,(
% 12.36/12.59 ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(skolemize,[status(sab)],[12324])).
% 12.36/12.59 tff(12326,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12325, 12318])).
% 12.36/12.59 tff(12327,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12328,plain,
% 12.36/12.59 ((node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1))) <=> (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12329,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1))))),
% 12.36/12.59 inference(monotonicity,[status(thm)],[12328])).
% 12.36/12.59 tff(12330,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1)))),
% 12.36/12.59 inference(transitivity,[status(thm)],[12329, 12327])).
% 12.36/12.59 tff(12331,plain,
% 12.36/12.59 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12332,plain,
% 12.36/12.59 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node81(c_s, s0, s1) | node77(c_s, s0) | (~node82(c_s, s0, s1))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 12.36/12.59 tff(12333,plain,
% 12.36/12.59 (node81(c_s, s0, s1)),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12332, 12326, 12316, 12293, 12282, 12260, 12242])).
% 12.36/12.59 tff(12334,plain,
% 12.36/12.59 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12335,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12334])).
% 12.36/12.59 tff(12336,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12337,plain,
% 12.36/12.59 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) <=> ((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))), (((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) | (~node81(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))), (((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12338,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12337])).
% 12.36/12.59 tff(12339,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_184')).
% 12.36/12.59 tff(12340,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 12.36/12.59 tff(12341,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12340, 12336])).
% 12.36/12.59 tff(12342,plain,(
% 12.36/12.59 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(skolemize,[status(sab)],[12341])).
% 12.36/12.59 tff(12343,plain,
% 12.36/12.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12342, 12335])).
% 12.36/12.59 tff(12344,plain,
% 12.36/12.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12345,plain,
% 12.36/12.59 (((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb)) <=> (m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12346,plain,
% 12.36/12.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1))))),
% 12.36/12.59 inference(monotonicity,[status(thm)],[12345])).
% 12.36/12.59 tff(12347,plain,
% 12.36/12.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1)))),
% 12.36/12.59 inference(transitivity,[status(thm)],[12346, 12344])).
% 12.36/12.59 tff(12348,plain,
% 12.36/12.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12349,plain,
% 12.36/12.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s1, c_ovb) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node81(c_s, s0, s1))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12348, 12347])).
% 12.36/12.59 tff(12350,plain,
% 12.36/12.59 (m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1))),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12349, 12343, 12093])).
% 12.36/12.59 tff(12351,plain,
% 12.36/12.59 (m_state_v_gvp(c_s, s1, c_ovb)),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12350, 12333])).
% 12.36/12.59 tff(12352,plain,
% 12.36/12.59 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12353,plain,
% 12.36/12.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12354,plain,
% 12.36/12.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2)),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 12.36/12.59 tff(12355,plain,
% 12.36/12.59 (node82(c_s, s1, s2)),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12354, 28, 12044, 226])).
% 12.36/12.59 tff(12356,plain,
% 12.36/12.59 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12357,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12356])).
% 12.36/12.59 tff(12358,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12359,plain,
% 12.36/12.59 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) <=> ((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> (((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CVM(J0, X, c_up))))), rewrite((((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))), (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) <=> (((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gvp(J0, Y, c_sd)))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gvp(J0, Y, c_sd)) <=> ((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) <=> ((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))), ((((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~node82(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~node82(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))))),
% 12.36/12.59 inference(bind,[status(th)],[])).
% 12.36/12.59 tff(12360,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(quant_intro,[status(thm)],[12359])).
% 12.36/12.59 tff(12361,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_186')).
% 12.36/12.59 tff(12362,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12361, 12360])).
% 12.36/12.59 tff(12363,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12362, 12358])).
% 12.36/12.59 tff(12364,plain,(
% 12.36/12.59 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(skolemize,[status(sab)],[12363])).
% 12.36/12.59 tff(12365,plain,
% 12.36/12.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12364, 12357])).
% 12.36/12.59 tff(12366,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | (~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12367,plain,
% 12.36/12.59 (((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb))) <=> ((~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 12.36/12.59 inference(rewrite,[status(thm)],[])).
% 12.36/12.59 tff(12368,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb))))),
% 12.36/12.59 inference(monotonicity,[status(thm)],[12367])).
% 12.36/12.59 tff(12369,plain,
% 12.36/12.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | (~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 12.36/12.59 inference(transitivity,[status(thm)],[12368, 12366])).
% 12.36/12.59 tff(12370,plain,
% 12.36/12.59 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 12.36/12.59 inference(quant_inst,[status(thm)],[])).
% 12.36/12.59 tff(12371,plain,
% 12.36/12.59 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | (~node82(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb))),
% 12.36/12.59 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 12.36/12.59 tff(12372,plain,
% 12.36/12.59 ((~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb))),
% 12.36/12.59 inference(unit_resolution,[status(thm)],[12371, 12365, 12355])).
% 12.44/12.59 tff(12373,plain,
% 12.44/12.59 (m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))),
% 12.44/12.59 inference(unit_resolution,[status(thm)],[12372, 12110, 12351])).
% 12.44/12.59 tff(12374,plain,
% 12.44/12.59 (m_state_v_gvp(c_s, s2, c_sd)),
% 12.44/12.59 inference(unit_resolution,[status(thm)],[12373, 12194])).
% 12.44/12.59 tff(12375,plain,
% 12.44/12.59 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 12.44/12.59 inference(rewrite,[status(thm)],[])).
% 12.44/12.59 tff(12376,plain,
% 12.44/12.59 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 12.44/12.59 inference(quant_inst,[status(thm)],[])).
% 12.44/12.59 tff(12377,plain,
% 12.44/12.59 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd))),
% 12.44/12.59 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 12.44/12.59 tff(12378,plain,
% 12.44/12.59 (~m_state_v_gvp(c_s, s2, c_ovb)),
% 12.44/12.59 inference(unit_resolution,[status(thm)],[12377, 12300, 12374])).
% 12.44/12.59 tff(12379,plain,
% 12.44/12.59 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))))),
% 12.44/12.59 inference(bind,[status(th)],[])).
% 12.44/12.59 tff(12380,plain,
% 12.44/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 12.44/12.59 inference(quant_intro,[status(thm)],[12379])).
% 12.44/12.59 tff(12381,plain,
% 12.44/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 12.44/12.59 inference(rewrite,[status(thm)],[])).
% 12.44/12.59 tff(12382,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_172')).
% 12.44/12.59 tff(12383,plain,
% 12.44/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 12.44/12.59 inference(modus_ponens,[status(thm)],[12382, 12381])).
% 12.44/12.59 tff(12384,plain,(
% 12.44/12.59 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 12.44/12.59 inference(skolemize,[status(sab)],[12383])).
% 12.44/12.59 tff(12385,plain,
% 12.44/12.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 12.44/12.59 inference(modus_ponens,[status(thm)],[12384, 12380])).
% 12.44/12.59 tff(12386,plain,
% 12.44/12.59 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))),
% 12.44/12.59 inference(rewrite,[status(thm)],[])).
% 12.44/12.59 tff(12387,plain,
% 12.44/12.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))),
% 12.44/12.59 inference(quant_inst,[status(thm)],[])).
% 12.44/12.59 tff(12388,plain,
% 12.44/12.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2))),
% 12.44/12.59 inference(modus_ponens,[status(thm)],[12387, 12386])).
% 12.44/12.59 tff(12389,plain,
% 12.44/12.59 (~node77(c_s, s2)),
% 12.44/12.59 inference(unit_resolution,[status(thm)],[12388, 12385, 12378])).
% 12.44/12.59 tff(12390,plain,
% 12.44/12.59 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))))),
% 12.44/12.59 inference(bind,[status(th)],[])).
% 12.44/12.59 tff(12391,plain,
% 12.44/12.59 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.44/12.59 inference(quant_intro,[status(thm)],[12390])).
% 12.44/12.59 tff(12392,plain,
% 12.44/12.59 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.44/12.59 inference(rewrite,[status(thm)],[])).
% 12.44/12.59 tff(12393,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_72')).
% 12.44/12.60 tff(12394,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 12.44/12.60 tff(12395,plain,(
% 12.44/12.60 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12394])).
% 12.44/12.60 tff(12396,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12395, 12391])).
% 12.44/12.60 tff(12397,plain,
% 12.44/12.60 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12398,plain,
% 12.44/12.60 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12399,plain,
% 12.44/12.60 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 12.44/12.60 tff(12400,plain,
% 12.44/12.60 (~m_state_v_gvp(c_s, s2, c_ovf)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12399, 12396, 12374])).
% 12.44/12.60 tff(12401,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12402,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12403,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 12.44/12.60 tff(12404,plain,
% 12.44/12.60 (~node80(c_s, s2)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12403, 12289, 12400])).
% 12.44/12.60 tff(12405,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | ((~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12406,plain,
% 12.44/12.60 ((m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2))) <=> ((~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12407,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | ((~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf)))),
% 12.44/12.60 inference(monotonicity,[status(thm)],[12406])).
% 12.44/12.60 tff(12408,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 12.44/12.60 inference(transitivity,[status(thm)],[12407, 12405])).
% 12.44/12.60 tff(12409,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12410,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (~node79(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf)),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 12.44/12.60 tff(12411,plain,
% 12.44/12.60 (~node79(c_s, s2)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12410, 12278, 12400])).
% 12.44/12.60 tff(12412,plain,
% 12.44/12.60 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12413,plain,
% 12.44/12.60 ((node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3))) <=> (node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12414,plain,
% 12.44/12.60 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3)))),
% 12.44/12.60 inference(monotonicity,[status(thm)],[12413])).
% 12.44/12.60 tff(12415,plain,
% 12.44/12.60 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3))),
% 12.44/12.60 inference(transitivity,[status(thm)],[12414, 12412])).
% 12.44/12.60 tff(12416,plain,
% 12.44/12.60 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12417,plain,
% 12.44/12.60 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s2) | node77(c_s, s2) | node80(c_s, s2) | node78(c_s, s2) | (~node82(c_s, s2, s3)) | node81(c_s, s2, s3)),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 12.44/12.60 tff(12418,plain,
% 12.44/12.60 (node81(c_s, s2, s3)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12417, 12326, 12411, 12404, 12389, 12236, 12048])).
% 12.44/12.60 tff(12419,plain,
% 12.44/12.60 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12420,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12419])).
% 12.44/12.60 tff(12421,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12422,plain,
% 12.44/12.60 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12423,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12422])).
% 12.44/12.60 tff(12424,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_185')).
% 12.44/12.60 tff(12425,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 12.44/12.60 tff(12426,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12425, 12421])).
% 12.44/12.60 tff(12427,plain,(
% 12.44/12.60 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12426])).
% 12.44/12.60 tff(12428,plain,
% 12.44/12.60 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12427, 12420])).
% 12.44/12.60 tff(12429,plain,
% 12.44/12.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12430,plain,
% 12.44/12.60 (((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb))) <=> (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12431,plain,
% 12.44/12.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3))))),
% 12.44/12.60 inference(monotonicity,[status(thm)],[12430])).
% 12.44/12.60 tff(12432,plain,
% 12.44/12.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 12.44/12.60 inference(transitivity,[status(thm)],[12431, 12429])).
% 12.44/12.60 tff(12433,plain,
% 12.44/12.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12434,plain,
% 12.44/12.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 12.44/12.60 tff(12435,plain,
% 12.44/12.60 (~m_state_v_gvp(c_s, s3, c_ovb)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12434, 12428, 12378, 12418])).
% 12.44/12.60 tff(12436,plain,
% 12.44/12.60 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12437,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12436])).
% 12.44/12.60 tff(12438,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12439,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_17')).
% 12.44/12.60 tff(12440,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12439, 12438])).
% 12.44/12.60 tff(12441,plain,(
% 12.44/12.60 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12440])).
% 12.44/12.60 tff(12442,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12441, 12437])).
% 12.44/12.60 tff(12443,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12444,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12445,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12444, 12443])).
% 12.44/12.60 tff(12446,plain,
% 12.44/12.60 (~node92(c_s, s3)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12445, 12442, 12435])).
% 12.44/12.60 tff(12447,plain,
% 12.44/12.60 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12448,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12447])).
% 12.44/12.60 tff(12449,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12450,plain,
% 12.44/12.60 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12451,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12450])).
% 12.44/12.60 tff(12452,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_63')).
% 12.44/12.60 tff(12453,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 12.44/12.60 tff(12454,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12453, 12449])).
% 12.44/12.60 tff(12455,plain,(
% 12.44/12.60 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12454])).
% 12.44/12.60 tff(12456,plain,
% 12.44/12.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12455, 12448])).
% 12.44/12.60 tff(12457,plain,
% 12.44/12.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12458,plain,
% 12.44/12.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12459,plain,
% 12.44/12.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1)),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 12.44/12.60 tff(12460,plain,
% 12.44/12.60 (node105(c_s, s0, s1)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12459, 12030, 12456, 39])).
% 12.44/12.60 tff(12461,assumption,(~m_state_v_CHM(c_s, s0, c_idle)), introduced(assumption)).
% 12.44/12.60 tff(12462,plain,
% 12.44/12.60 (^[I0: $i] : refl(m_state_v_CHM(I0, s0, c_idle) <=> m_state_v_CHM(I0, s0, c_idle))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12463,plain,
% 12.44/12.60 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12462])).
% 12.44/12.60 tff(12464,plain,
% 12.44/12.60 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12465,axiom,(![I0: $i] : m_state_v_CHM(I0, s0, c_idle)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_112')).
% 12.44/12.60 tff(12466,plain,
% 12.44/12.60 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 12.44/12.60 tff(12467,plain,(
% 12.44/12.60 ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 12.44/12.60 inference(skolemize,[status(sab)],[12466])).
% 12.44/12.60 tff(12468,plain,
% 12.44/12.60 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12467, 12463])).
% 12.44/12.60 tff(12469,plain,
% 12.44/12.60 ((~![I0: $i] : m_state_v_CHM(I0, s0, c_idle)) | m_state_v_CHM(c_s, s0, c_idle)),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12470,plain,
% 12.44/12.60 ($false),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12469, 12468, 12461])).
% 12.44/12.60 tff(12471,plain,(m_state_v_CHM(c_s, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.44/12.60 tff(12472,plain,
% 12.44/12.60 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12473,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12472])).
% 12.44/12.60 tff(12474,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12475,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_16')).
% 12.44/12.60 tff(12476,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 12.44/12.60 tff(12477,plain,(
% 12.44/12.60 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12476])).
% 12.44/12.60 tff(12478,plain,
% 12.44/12.60 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12477, 12473])).
% 12.44/12.60 tff(12479,plain,
% 12.44/12.60 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12480,plain,
% 12.44/12.60 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12481,plain,
% 12.44/12.60 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 12.44/12.60 tff(12482,plain,
% 12.44/12.60 (~m_state_v_CHM(c_s, s0, c_todepbelt)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12481, 12478, 12471])).
% 12.44/12.60 tff(12483,plain,
% 12.44/12.60 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12484,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12483])).
% 12.44/12.60 tff(12485,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12486,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_54')).
% 12.44/12.60 tff(12487,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 12.44/12.60 tff(12488,plain,(
% 12.44/12.60 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12487])).
% 12.44/12.60 tff(12489,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12488, 12484])).
% 12.44/12.60 tff(12490,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12491,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12492,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 12.44/12.60 tff(12493,plain,
% 12.44/12.60 (~node103(c_s, s0)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12492, 12489, 12482])).
% 12.44/12.60 tff(12494,plain,
% 12.44/12.60 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12495,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12494])).
% 12.44/12.60 tff(12496,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12497,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_46')).
% 12.44/12.60 tff(12498,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 12.44/12.60 tff(12499,plain,(
% 12.44/12.60 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12498])).
% 12.44/12.60 tff(12500,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12499, 12495])).
% 12.44/12.60 tff(12501,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12502,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12503,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 12.44/12.60 tff(12504,plain,
% 12.44/12.60 (~node100(c_s, s0)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12503, 12500, 12304])).
% 12.44/12.60 tff(12505,plain,
% 12.44/12.60 (^[I0: $i] : refl((~m_state_v_gof(I0, s0)) <=> (~m_state_v_gof(I0, s0)))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12506,plain,
% 12.44/12.60 (![I0: $i] : (~m_state_v_gof(I0, s0)) <=> ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12505])).
% 12.44/12.60 tff(12507,plain,
% 12.44/12.60 (![I0: $i] : (~m_state_v_gof(I0, s0)) <=> ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12508,axiom,(![I0: $i] : (~m_state_v_gof(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_114')).
% 12.44/12.60 tff(12509,plain,
% 12.44/12.60 (![I0: $i] : (~m_state_v_gof(I0, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12508, 12507])).
% 12.44/12.60 tff(12510,plain,(
% 12.44/12.60 ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12509])).
% 12.44/12.60 tff(12511,plain,
% 12.44/12.60 (![I0: $i] : (~m_state_v_gof(I0, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12510, 12506])).
% 12.44/12.60 tff(12512,plain,
% 12.44/12.60 ((~![I0: $i] : (~m_state_v_gof(I0, s0))) | (~m_state_v_gof(c_s, s0))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12513,plain,
% 12.44/12.60 (~m_state_v_gof(c_s, s0)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12512, 12511])).
% 12.44/12.60 tff(12514,plain,
% 12.44/12.60 (^[X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node101(J0, X))) <=> (m_state_v_gof(J0, X) | (~node101(J0, X))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12515,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12514])).
% 12.44/12.60 tff(12516,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12517,axiom,(![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_48')).
% 12.44/12.60 tff(12518,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12517, 12516])).
% 12.44/12.60 tff(12519,plain,(
% 12.44/12.60 ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12518])).
% 12.44/12.60 tff(12520,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12519, 12515])).
% 12.44/12.60 tff(12521,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node101(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s0) | (~node101(c_s, s0)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12522,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node101(c_s, s0)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12523,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s0) | (~node101(c_s, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 12.44/12.60 tff(12524,plain,
% 12.44/12.60 (~node101(c_s, s0)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12523, 12520, 12513])).
% 12.44/12.60 tff(12525,plain,
% 12.44/12.60 (^[X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node102(J0, X))) <=> (m_state_v_gof(J0, X) | (~node102(J0, X))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12526,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))),
% 12.44/12.60 inference(quant_intro,[status(thm)],[12525])).
% 12.44/12.60 tff(12527,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12528,axiom,(![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_51')).
% 12.44/12.60 tff(12529,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 12.44/12.60 tff(12530,plain,(
% 12.44/12.60 ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))),
% 12.44/12.60 inference(skolemize,[status(sab)],[12529])).
% 12.44/12.60 tff(12531,plain,
% 12.44/12.60 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12530, 12526])).
% 12.44/12.60 tff(12532,plain,
% 12.44/12.60 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node102(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))) | m_state_v_gof(c_s, s0) | (~node102(c_s, s0)))),
% 12.44/12.60 inference(rewrite,[status(thm)],[])).
% 12.44/12.60 tff(12533,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node102(c_s, s0)))),
% 12.44/12.60 inference(quant_inst,[status(thm)],[])).
% 12.44/12.60 tff(12534,plain,
% 12.44/12.60 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node102(J0, X)))) | m_state_v_gof(c_s, s0) | (~node102(c_s, s0))),
% 12.44/12.60 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 12.44/12.60 tff(12535,plain,
% 12.44/12.60 (~node102(c_s, s0)),
% 12.44/12.60 inference(unit_resolution,[status(thm)],[12534, 12531, 12513])).
% 12.44/12.60 tff(12536,plain,
% 12.44/12.60 (^[Y: $i, X: $i, J0: $i] : refl((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))))),
% 12.44/12.60 inference(bind,[status(th)],[])).
% 12.44/12.60 tff(12537,plain,
% 12.44/12.60 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12536])).
% 12.44/12.61 tff(12538,plain,
% 12.44/12.61 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12539,plain,
% 12.44/12.61 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node100(J0, X) | node101(J0, X)) | node102(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X)) | node103(J0, X)))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X)) | node103(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)) | node104(J0, X, Y)))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)) | node104(J0, X, Y)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)) | (~node105(J0, X, Y))))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12540,plain,
% 12.44/12.61 (![Y: $i, X: $i, J0: $i] : (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12539])).
% 12.44/12.61 tff(12541,axiom,(![Y: $i, X: $i, J0: $i] : (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_62')).
% 12.44/12.61 tff(12542,plain,
% 12.44/12.61 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12541, 12540])).
% 12.44/12.61 tff(12543,plain,
% 12.44/12.61 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12542, 12538])).
% 12.44/12.61 tff(12544,plain,(
% 12.44/12.61 ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12543])).
% 12.44/12.61 tff(12545,plain,
% 12.44/12.61 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12544, 12537])).
% 12.44/12.61 tff(12546,plain,
% 12.44/12.61 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12547,plain,
% 12.44/12.61 ((node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))) <=> (node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12548,plain,
% 12.44/12.61 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))))),
% 12.44/12.61 inference(monotonicity,[status(thm)],[12547])).
% 12.44/12.61 tff(12549,plain,
% 12.44/12.61 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 12.44/12.61 inference(transitivity,[status(thm)],[12548, 12546])).
% 12.44/12.61 tff(12550,plain,
% 12.44/12.61 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12551,plain,
% 12.44/12.61 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node101(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 12.44/12.61 tff(12552,plain,
% 12.44/12.61 (node104(c_s, s0, s1)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12551, 12545, 12535, 12524, 12504, 12493, 12460])).
% 12.44/12.61 tff(12553,plain,
% 12.44/12.61 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12554,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12553])).
% 12.44/12.61 tff(12555,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12556,plain,
% 12.44/12.61 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12557,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12556])).
% 12.44/12.61 tff(12558,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_57')).
% 12.44/12.61 tff(12559,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 12.44/12.61 tff(12560,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12559, 12555])).
% 12.44/12.61 tff(12561,plain,(
% 12.44/12.61 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12560])).
% 12.44/12.61 tff(12562,plain,
% 12.44/12.61 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12561, 12554])).
% 12.44/12.61 tff(12563,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12564,plain,
% 12.44/12.61 (((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt))) <=> (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12565,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1))))),
% 12.44/12.61 inference(monotonicity,[status(thm)],[12564])).
% 12.44/12.61 tff(12566,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 12.44/12.61 inference(transitivity,[status(thm)],[12565, 12563])).
% 12.44/12.61 tff(12567,plain,
% 12.44/12.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12568,plain,
% 12.44/12.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 12.44/12.61 tff(12569,plain,
% 12.44/12.61 (~m_state_v_CHM(c_s, s1, c_todepbelt)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12568, 12562, 12482, 12552])).
% 12.44/12.61 tff(12570,plain,
% 12.44/12.61 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12571,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12570])).
% 12.44/12.61 tff(12572,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12573,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_30')).
% 12.44/12.61 tff(12574,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 12.44/12.61 tff(12575,plain,(
% 12.44/12.61 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12574])).
% 12.44/12.61 tff(12576,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12575, 12571])).
% 12.44/12.61 tff(12577,plain,
% 12.44/12.61 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12578,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12579,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 12.44/12.61 tff(12580,plain,
% 12.44/12.61 (~node96(c_s, s1)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12579, 12576, 12569])).
% 12.44/12.61 tff(12581,plain,
% 12.44/12.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12582,plain,
% 12.44/12.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12583,plain,
% 12.44/12.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2)),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 12.44/12.61 tff(12584,plain,
% 12.44/12.61 (node99(c_s, s1, s2)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12583, 12030, 12027, 226])).
% 12.44/12.61 tff(12585,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12586,plain,
% 12.44/12.61 (((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd))) <=> (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12587,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd))))),
% 12.44/12.61 inference(monotonicity,[status(thm)],[12586])).
% 12.44/12.61 tff(12588,plain,
% 12.44/12.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 12.44/12.61 inference(transitivity,[status(thm)],[12587, 12585])).
% 12.44/12.61 tff(12589,plain,
% 12.44/12.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12590,plain,
% 12.44/12.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 12.44/12.61 tff(12591,plain,
% 12.44/12.61 (~m_state_v_gvp(c_s, s1, c_sd)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12590, 12428, 12304, 12333])).
% 12.44/12.61 tff(12592,plain,
% 12.44/12.61 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12593,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12592])).
% 12.44/12.61 tff(12594,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12595,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_20')).
% 12.44/12.61 tff(12596,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12595, 12594])).
% 12.44/12.61 tff(12597,plain,(
% 12.44/12.61 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12596])).
% 12.44/12.61 tff(12598,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12597, 12593])).
% 12.44/12.61 tff(12599,plain,
% 12.44/12.61 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12600,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12601,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 12.44/12.61 tff(12602,plain,
% 12.44/12.61 (~node93(c_s, s1)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12601, 12598, 12591])).
% 12.44/12.61 tff(12603,plain,
% 12.44/12.61 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12604,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12603])).
% 12.44/12.61 tff(12605,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12606,plain,
% 12.44/12.61 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12607,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12606])).
% 12.44/12.61 tff(12608,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_20')).
% 12.44/12.61 tff(12609,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 12.44/12.61 tff(12610,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12609, 12605])).
% 12.44/12.61 tff(12611,plain,(
% 12.44/12.61 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12610])).
% 12.44/12.61 tff(12612,plain,
% 12.44/12.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12611, 12604])).
% 12.44/12.61 tff(12613,plain,
% 12.44/12.61 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12614,plain,
% 12.44/12.61 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12615,plain,
% 12.44/12.61 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12614, 12613])).
% 12.44/12.61 tff(12616,plain,
% 12.44/12.61 (~m_state_v_CVM(c_s, s1, c_down)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12615, 12612, 12110])).
% 12.44/12.61 tff(12617,plain,
% 12.44/12.61 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12618,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12617])).
% 12.44/12.61 tff(12619,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12620,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_27')).
% 12.44/12.61 tff(12621,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 12.44/12.61 tff(12622,plain,(
% 12.44/12.61 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12621])).
% 12.44/12.61 tff(12623,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12622, 12618])).
% 12.44/12.61 tff(12624,plain,
% 12.44/12.61 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node95(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node95(c_s, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12625,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node95(c_s, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12626,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node95(c_s, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12625, 12624])).
% 12.44/12.61 tff(12627,plain,
% 12.44/12.61 (~node95(c_s, s1)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12626, 12623, 12616])).
% 12.44/12.61 tff(12628,plain,
% 12.44/12.61 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12629,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12628])).
% 12.44/12.61 tff(12630,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12631,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_33')).
% 12.44/12.61 tff(12632,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 12.44/12.61 tff(12633,plain,(
% 12.44/12.61 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12632])).
% 12.44/12.61 tff(12634,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12633, 12629])).
% 12.44/12.61 tff(12635,plain,
% 12.44/12.61 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12636,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12637,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 12.44/12.61 tff(12638,plain,
% 12.44/12.61 (~node97(c_s, s1)),
% 12.44/12.61 inference(unit_resolution,[status(thm)],[12637, 12634, 12616])).
% 12.44/12.61 tff(12639,plain,
% 12.44/12.61 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))))),
% 12.44/12.61 inference(bind,[status(th)],[])).
% 12.44/12.61 tff(12640,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 12.44/12.61 inference(quant_intro,[status(thm)],[12639])).
% 12.44/12.61 tff(12641,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12642,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_16')).
% 12.44/12.61 tff(12643,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12642, 12641])).
% 12.44/12.61 tff(12644,plain,(
% 12.44/12.61 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 12.44/12.61 inference(skolemize,[status(sab)],[12643])).
% 12.44/12.61 tff(12645,plain,
% 12.44/12.61 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12644, 12640])).
% 12.44/12.61 tff(12646,plain,
% 12.44/12.61 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))),
% 12.44/12.61 inference(rewrite,[status(thm)],[])).
% 12.44/12.61 tff(12647,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))),
% 12.44/12.61 inference(quant_inst,[status(thm)],[])).
% 12.44/12.61 tff(12648,plain,
% 12.44/12.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1))),
% 12.44/12.61 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 12.44/12.61 tff(12649,plain,
% 12.44/12.61 (~node92(c_s, s1)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12648, 12645, 12124])).
% 12.44/12.62 tff(12650,plain,
% 12.44/12.62 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12651,plain,
% 12.44/12.62 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12650])).
% 12.44/12.62 tff(12652,plain,
% 12.44/12.62 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12653,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_24')).
% 12.44/12.62 tff(12654,plain,
% 12.44/12.62 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 12.44/12.62 tff(12655,plain,(
% 12.44/12.62 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12654])).
% 12.44/12.62 tff(12656,plain,
% 12.44/12.62 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12655, 12651])).
% 12.44/12.62 tff(12657,plain,
% 12.44/12.62 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node94(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node94(c_s, s1)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12658,plain,
% 12.44/12.62 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node94(c_s, s1)))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12659,plain,
% 12.44/12.62 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node94(c_s, s1))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 12.44/12.62 tff(12660,plain,
% 12.44/12.62 (~node94(c_s, s1)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12659, 12656, 12124])).
% 12.44/12.62 tff(12661,plain,
% 12.44/12.62 (^[Y: $i, X: $i, J0: $i] : refl((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12662,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12661])).
% 12.44/12.62 tff(12663,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12664,plain,
% 12.44/12.62 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node92(J0, X) | node93(J0, X)) | node94(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X))), ((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X)) | node95(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X)) | node95(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X))), ((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)))), (((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)) | node96(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)) | node96(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X))), (((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)))), ((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)) | node97(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)) | node97(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X))), ((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)))), (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)) | node98(J0, X, Y)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)) | node98(J0, X, Y)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y))), (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)))), ((((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)) | (~node99(J0, X, Y))))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))), ((((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12665,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12664])).
% 12.44/12.62 tff(12666,axiom,(![Y: $i, X: $i, J0: $i] : (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_43')).
% 12.44/12.62 tff(12667,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 12.44/12.62 tff(12668,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12667, 12663])).
% 12.44/12.62 tff(12669,plain,(
% 12.44/12.62 ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12668])).
% 12.44/12.62 tff(12670,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12669, 12662])).
% 12.44/12.62 tff(12671,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12672,plain,
% 12.44/12.62 ((node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2))) <=> (node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12673,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2)))),
% 12.44/12.62 inference(monotonicity,[status(thm)],[12672])).
% 12.44/12.62 tff(12674,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2))),
% 12.44/12.62 inference(transitivity,[status(thm)],[12673, 12671])).
% 12.44/12.62 tff(12675,plain,
% 12.44/12.62 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12676,plain,
% 12.44/12.62 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node95(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node96(c_s, s1) | node98(c_s, s1, s2)),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12675, 12674])).
% 12.44/12.62 tff(12677,plain,
% 12.44/12.62 (node96(c_s, s1) | node98(c_s, s1, s2)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12676, 12670, 12660, 12649, 12638, 12627, 12602, 12584])).
% 12.44/12.62 tff(12678,plain,
% 12.44/12.62 (node98(c_s, s1, s2)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12677, 12580])).
% 12.44/12.62 tff(12679,plain,
% 12.44/12.62 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12680,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12679])).
% 12.44/12.62 tff(12681,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12682,plain,
% 12.44/12.62 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) <=> ((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))), (((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) | (~node98(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))), (((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12683,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12682])).
% 12.44/12.62 tff(12684,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_35')).
% 12.44/12.62 tff(12685,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 12.44/12.62 tff(12686,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12685, 12681])).
% 12.44/12.62 tff(12687,plain,(
% 12.44/12.62 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12686])).
% 12.44/12.62 tff(12688,plain,
% 12.44/12.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12687, 12680])).
% 12.44/12.62 tff(12689,plain,
% 12.44/12.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12690,plain,
% 12.44/12.62 (((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up)) <=> ((~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12691,plain,
% 12.44/12.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2))))),
% 12.44/12.62 inference(monotonicity,[status(thm)],[12690])).
% 12.44/12.62 tff(12692,plain,
% 12.44/12.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2)))),
% 12.44/12.62 inference(transitivity,[status(thm)],[12691, 12689])).
% 12.44/12.62 tff(12693,plain,
% 12.44/12.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12694,plain,
% 12.44/12.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up) | (~node98(c_s, s1, s2))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 12.44/12.62 tff(12695,plain,
% 12.44/12.62 (m_state_v_CVM(c_s, s2, c_up)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12694, 12688, 12110, 12678])).
% 12.44/12.62 tff(12696,plain,
% 12.44/12.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12697,plain,
% 12.44/12.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12698,plain,
% 12.44/12.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3)),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12697, 12696])).
% 12.44/12.62 tff(12699,plain,
% 12.44/12.62 (node105(c_s, s2, s3)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12698, 12030, 12456, 794])).
% 12.44/12.62 tff(12700,plain,
% 12.44/12.62 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12701,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12700])).
% 12.44/12.62 tff(12702,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12703,plain,
% 12.44/12.62 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12704,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12703])).
% 12.44/12.62 tff(12705,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_58')).
% 12.44/12.62 tff(12706,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12705, 12704])).
% 12.44/12.62 tff(12707,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12706, 12702])).
% 12.44/12.62 tff(12708,plain,(
% 12.44/12.62 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12707])).
% 12.44/12.62 tff(12709,plain,
% 12.44/12.62 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12708, 12701])).
% 12.44/12.62 tff(12710,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | (m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12711,plain,
% 12.44/12.62 (((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12712,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | (m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3))))),
% 12.44/12.62 inference(monotonicity,[status(thm)],[12711])).
% 12.44/12.62 tff(12713,plain,
% 12.44/12.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)))),
% 12.44/12.62 inference(transitivity,[status(thm)],[12712, 12710])).
% 12.44/12.62 tff(12714,plain,
% 12.44/12.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12715,plain,
% 12.44/12.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 12.44/12.62 tff(12716,plain,
% 12.44/12.62 (m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~m_state_v_CVM(c_s, s2, c_up))),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12715, 12709, 12374, 12699])).
% 12.44/12.62 tff(12717,plain,
% 12.44/12.62 (m_state_v_CHM(c_s, s3, c_tofeedbelt)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12716, 12695])).
% 12.44/12.62 tff(12718,plain,
% 12.44/12.62 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12719,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12718])).
% 12.44/12.62 tff(12720,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12721,plain,
% 12.44/12.62 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12722,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12721])).
% 12.44/12.62 tff(12723,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_14')).
% 12.44/12.62 tff(12724,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 12.44/12.62 tff(12725,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12724, 12720])).
% 12.44/12.62 tff(12726,plain,(
% 12.44/12.62 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12725])).
% 12.44/12.62 tff(12727,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12726, 12719])).
% 12.44/12.62 tff(12728,plain,
% 12.44/12.62 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | ((~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | (~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12729,plain,
% 12.44/12.62 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | ((~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12730,plain,
% 12.44/12.62 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | (~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 12.44/12.62 tff(12731,plain,
% 12.44/12.62 (~m_state_v_CHM(c_s, s3, c_todepbelt)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12730, 12727, 12717])).
% 12.44/12.62 tff(12732,plain,
% 12.44/12.62 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12733,plain,
% 12.44/12.62 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))),
% 12.44/12.62 inference(quant_inst,[status(thm)],[])).
% 12.44/12.62 tff(12734,plain,
% 12.44/12.62 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 12.44/12.62 tff(12735,plain,
% 12.44/12.62 (~node96(c_s, s3)),
% 12.44/12.62 inference(unit_resolution,[status(thm)],[12734, 12576, 12731])).
% 12.44/12.62 tff(12736,plain,
% 12.44/12.62 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))))),
% 12.44/12.62 inference(bind,[status(th)],[])).
% 12.44/12.62 tff(12737,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.62 inference(quant_intro,[status(thm)],[12736])).
% 12.44/12.62 tff(12738,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12739,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_15')).
% 12.44/12.62 tff(12740,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12739, 12738])).
% 12.44/12.62 tff(12741,plain,(
% 12.44/12.62 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.62 inference(skolemize,[status(sab)],[12740])).
% 12.44/12.62 tff(12742,plain,
% 12.44/12.62 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 12.44/12.62 inference(modus_ponens,[status(thm)],[12741, 12737])).
% 12.44/12.62 tff(12743,plain,
% 12.44/12.62 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12744,plain,
% 12.44/12.62 (((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle))) <=> ((~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.62 inference(rewrite,[status(thm)],[])).
% 12.44/12.62 tff(12745,plain,
% 12.44/12.62 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))))),
% 12.44/12.62 inference(monotonicity,[status(thm)],[12744])).
% 12.44/12.62 tff(12746,plain,
% 12.44/12.62 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.62 inference(transitivity,[status(thm)],[12745, 12743])).
% 12.44/12.62 tff(12747,plain,
% 12.44/12.62 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12748,plain,
% 12.44/12.63 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s3, c_idle)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 12.44/12.63 tff(12749,plain,
% 12.44/12.63 (~m_state_v_CHM(c_s, s3, c_idle)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12748, 12742, 12717])).
% 12.44/12.63 tff(12750,plain,
% 12.44/12.63 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12751,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12750])).
% 12.44/12.63 tff(12752,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12753,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_23')).
% 12.44/12.63 tff(12754,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12753, 12752])).
% 12.44/12.63 tff(12755,plain,(
% 12.44/12.63 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.63 inference(skolemize,[status(sab)],[12754])).
% 12.44/12.63 tff(12756,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12755, 12751])).
% 12.44/12.63 tff(12757,plain,
% 12.44/12.63 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12758,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12759,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 12.44/12.63 tff(12760,plain,
% 12.44/12.63 (~node94(c_s, s3)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12759, 12756, 12749])).
% 12.44/12.63 tff(12761,plain,
% 12.44/12.63 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12762,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12763,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 12.44/12.63 tff(12764,plain,
% 12.44/12.63 (~node92(c_s, s2)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12763, 12442, 12378])).
% 12.44/12.63 tff(12765,plain,
% 12.44/12.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12766,plain,
% 12.44/12.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12767,plain,
% 12.44/12.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3)),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 12.44/12.63 tff(12768,plain,
% 12.44/12.63 (node99(c_s, s2, s3)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12767, 12030, 12027, 794])).
% 12.44/12.63 tff(12769,plain,
% 12.44/12.63 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12770,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12769])).
% 12.44/12.63 tff(12771,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12772,plain,
% 12.44/12.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X))), (((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) <=> (((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X))), (((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)))), ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | m_state_v_CVM(J0, Y, c_idle)))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | m_state_v_CVM(J0, Y, c_idle)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle))), ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)))), (((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))), (((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12773,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12772])).
% 12.44/12.63 tff(12774,axiom,(![Y: $i, X: $i, J0: $i] : ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_38')).
% 12.44/12.63 tff(12775,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12774, 12773])).
% 12.44/12.63 tff(12776,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12775, 12771])).
% 12.44/12.63 tff(12777,plain,(
% 12.44/12.63 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(skolemize,[status(sab)],[12776])).
% 12.44/12.63 tff(12778,plain,
% 12.44/12.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12777, 12770])).
% 12.44/12.63 tff(12779,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12780,plain,
% 12.44/12.63 (((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3))) <=> (m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12781,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up))))),
% 12.44/12.63 inference(monotonicity,[status(thm)],[12780])).
% 12.44/12.63 tff(12782,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up)))),
% 12.44/12.63 inference(transitivity,[status(thm)],[12781, 12779])).
% 12.44/12.63 tff(12783,plain,
% 12.44/12.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12784,plain,
% 12.44/12.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~node99(c_s, s2, s3)) | (~m_state_v_CVM(c_s, s2, c_up))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 12.44/12.63 tff(12785,plain,
% 12.44/12.63 (m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_gvp(c_s, s2, c_sd)) | node92(c_s, s2) | (~m_state_v_CVM(c_s, s2, c_up))),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12784, 12778, 12768])).
% 12.44/12.63 tff(12786,plain,
% 12.44/12.63 (m_state_v_CVM(c_s, s3, c_idle) | (~m_state_v_CVM(c_s, s2, c_up))),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12785, 12374, 12764])).
% 12.44/12.63 tff(12787,plain,
% 12.44/12.63 (m_state_v_CVM(c_s, s3, c_idle)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12786, 12695])).
% 12.44/12.63 tff(12788,plain,
% 12.44/12.63 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12789,plain,
% 12.44/12.63 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12790,plain,
% 12.44/12.63 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12789, 12788])).
% 12.44/12.63 tff(12791,plain,
% 12.44/12.63 (~m_state_v_CVM(c_s, s3, c_up)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12790, 12117, 12787])).
% 12.44/12.63 tff(12792,plain,
% 12.44/12.63 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12793,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12792])).
% 12.44/12.63 tff(12794,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12795,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_19')).
% 12.44/12.63 tff(12796,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 12.44/12.63 tff(12797,plain,(
% 12.44/12.63 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 12.44/12.63 inference(skolemize,[status(sab)],[12796])).
% 12.44/12.63 tff(12798,plain,
% 12.44/12.63 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12797, 12793])).
% 12.44/12.63 tff(12799,plain,
% 12.44/12.63 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12800,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12801,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 12.44/12.63 tff(12802,plain,
% 12.44/12.63 (~node93(c_s, s3)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12801, 12798, 12791])).
% 12.44/12.63 tff(12803,plain,
% 12.44/12.63 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12804,plain,
% 12.44/12.63 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12803])).
% 12.44/12.63 tff(12805,plain,
% 12.44/12.63 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12806,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_22')).
% 12.44/12.63 tff(12807,plain,
% 12.44/12.63 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 12.44/12.63 tff(12808,plain,(
% 12.44/12.63 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.44/12.63 inference(skolemize,[status(sab)],[12807])).
% 12.44/12.63 tff(12809,plain,
% 12.44/12.63 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12808, 12804])).
% 12.44/12.63 tff(12810,plain,
% 12.44/12.63 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12811,plain,
% 12.44/12.63 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12812,plain,
% 12.44/12.63 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12811, 12810])).
% 12.44/12.63 tff(12813,plain,
% 12.44/12.63 (~m_state_v_CVM(c_s, s3, c_down)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12812, 12809, 12787])).
% 12.44/12.63 tff(12814,plain,
% 12.44/12.63 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node95(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node95(c_s, s3)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12815,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node95(c_s, s3)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12816,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node95(c_s, s3))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12815, 12814])).
% 12.44/12.63 tff(12817,plain,
% 12.44/12.63 (~node95(c_s, s3)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12816, 12623, 12813])).
% 12.44/12.63 tff(12818,plain,
% 12.44/12.63 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node97(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node97(c_s, s3)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12819,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node97(c_s, s3)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12820,plain,
% 12.44/12.63 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node97(c_s, s3))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 12.44/12.63 tff(12821,plain,
% 12.44/12.63 (~node97(c_s, s3)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12820, 12634, 12813])).
% 12.44/12.63 tff(12822,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12823,plain,
% 12.44/12.63 ((node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4))) <=> (node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12824,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4))))),
% 12.44/12.63 inference(monotonicity,[status(thm)],[12823])).
% 12.44/12.63 tff(12825,plain,
% 12.44/12.63 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 12.44/12.63 inference(transitivity,[status(thm)],[12824, 12822])).
% 12.44/12.63 tff(12826,plain,
% 12.44/12.63 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12827,plain,
% 12.44/12.63 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node96(c_s, s3) | node97(c_s, s3) | node95(c_s, s3) | node94(c_s, s3) | node92(c_s, s3) | node93(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 12.44/12.63 tff(12828,plain,
% 12.44/12.63 (node98(c_s, s3, s4)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12827, 12670, 12821, 12817, 12802, 12760, 12735, 12446, 12034])).
% 12.44/12.63 tff(12829,plain,
% 12.44/12.63 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12830,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12829])).
% 12.44/12.63 tff(12831,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12832,plain,
% 12.44/12.63 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))))),
% 12.44/12.63 inference(bind,[status(th)],[])).
% 12.44/12.63 tff(12833,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(quant_intro,[status(thm)],[12832])).
% 12.44/12.63 tff(12834,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_36')).
% 12.44/12.63 tff(12835,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 12.44/12.63 tff(12836,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12835, 12831])).
% 12.44/12.63 tff(12837,plain,(
% 12.44/12.63 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(skolemize,[status(sab)],[12836])).
% 12.44/12.63 tff(12838,plain,
% 12.44/12.63 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12837, 12830])).
% 12.44/12.63 tff(12839,plain,
% 12.44/12.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12840,plain,
% 12.44/12.63 (((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down))) <=> (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 12.44/12.63 inference(rewrite,[status(thm)],[])).
% 12.44/12.63 tff(12841,plain,
% 12.44/12.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4))))),
% 12.44/12.63 inference(monotonicity,[status(thm)],[12840])).
% 12.44/12.63 tff(12842,plain,
% 12.44/12.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 12.44/12.63 inference(transitivity,[status(thm)],[12841, 12839])).
% 12.44/12.63 tff(12843,plain,
% 12.44/12.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))),
% 12.44/12.63 inference(quant_inst,[status(thm)],[])).
% 12.44/12.63 tff(12844,plain,
% 12.44/12.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4))),
% 12.44/12.63 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 12.44/12.63 tff(12845,plain,
% 12.44/12.63 (~m_state_v_CVM(c_s, s4, c_down)),
% 12.44/12.63 inference(unit_resolution,[status(thm)],[12844, 12838, 12813, 12828])).
% 12.44/12.64 tff(12846,plain,
% 12.44/12.64 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12847,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12846])).
% 12.44/12.64 tff(12848,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12849,plain,
% 12.44/12.64 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12850,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12849])).
% 12.44/12.64 tff(12851,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_165')).
% 12.44/12.64 tff(12852,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 12.44/12.64 tff(12853,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12852, 12848])).
% 12.44/12.64 tff(12854,plain,(
% 12.44/12.64 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12853])).
% 12.44/12.64 tff(12855,plain,
% 12.44/12.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12854, 12847])).
% 12.44/12.64 tff(12856,plain,
% 12.44/12.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12857,plain,
% 12.44/12.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12858,plain,
% 12.44/12.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4)),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12857, 12856])).
% 12.44/12.64 tff(12859,plain,
% 12.44/12.64 (node74(c_s, s3, s4)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12858, 28, 12855, 1179])).
% 12.44/12.64 tff(12860,plain,
% 12.44/12.64 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12861,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12860])).
% 12.44/12.64 tff(12862,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12863,plain,
% 12.44/12.64 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))))), ((((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> (((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~node74(J0, X, Y))))), rewrite((((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~node74(J0, X, Y))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), ((((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12864,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12863])).
% 12.44/12.64 tff(12865,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_163')).
% 12.44/12.64 tff(12866,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 12.44/12.64 tff(12867,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12866, 12862])).
% 12.44/12.64 tff(12868,plain,(
% 12.44/12.64 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12867])).
% 12.44/12.64 tff(12869,plain,
% 12.44/12.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12868, 12861])).
% 12.44/12.64 tff(12870,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12871,plain,
% 12.44/12.64 (((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12872,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4))))),
% 12.44/12.64 inference(monotonicity,[status(thm)],[12871])).
% 12.44/12.64 tff(12873,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)))),
% 12.44/12.64 inference(transitivity,[status(thm)],[12872, 12870])).
% 12.44/12.64 tff(12874,plain,
% 12.44/12.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12875,plain,
% 12.44/12.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 12.44/12.64 tff(12876,plain,
% 12.44/12.64 (~m_state_v_gob(c_s, s4)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12875, 12869, 12731, 12717, 12859])).
% 12.44/12.64 tff(12877,plain,
% 12.44/12.64 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node96(J0, X))) <=> (m_state_v_gob(J0, X) | (~node96(J0, X))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12878,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12877])).
% 12.44/12.64 tff(12879,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12880,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_31')).
% 12.44/12.64 tff(12881,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12880, 12879])).
% 12.44/12.64 tff(12882,plain,(
% 12.44/12.64 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12881])).
% 12.44/12.64 tff(12883,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12882, 12878])).
% 12.44/12.64 tff(12884,plain,
% 12.44/12.64 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12885,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12886,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s4) | (~node96(c_s, s4))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 12.44/12.64 tff(12887,plain,
% 12.44/12.64 (~node96(c_s, s4)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12886, 12883, 12876])).
% 12.44/12.64 tff(12888,plain,
% 12.44/12.64 (^[X: $i, J0: $i] : refl(((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12889,plain,
% 12.44/12.64 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12888])).
% 12.44/12.64 tff(12890,plain,
% 12.44/12.64 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12891,plain,
% 12.44/12.64 (^[X: $i, J0: $i] : rewrite((m_state_v_CVM(J0, X, c_down) | (~node78(J0, X))) <=> ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12892,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12891])).
% 12.44/12.64 tff(12893,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node78(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_177')).
% 12.44/12.64 tff(12894,plain,
% 12.44/12.64 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12893, 12892])).
% 12.44/12.64 tff(12895,plain,
% 12.44/12.64 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12894, 12890])).
% 12.44/12.64 tff(12896,plain,(
% 12.44/12.64 ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12895])).
% 12.44/12.64 tff(12897,plain,
% 12.44/12.64 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12896, 12889])).
% 12.44/12.64 tff(12898,plain,
% 12.44/12.64 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12899,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12900,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down)),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 12.44/12.64 tff(12901,plain,
% 12.44/12.64 (~node78(c_s, s3)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12900, 12897, 12813])).
% 12.44/12.64 tff(12902,plain,
% 12.44/12.64 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node80(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12903,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12902])).
% 12.44/12.64 tff(12904,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12905,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_183')).
% 12.44/12.64 tff(12906,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 12.44/12.64 tff(12907,plain,(
% 12.44/12.64 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12906])).
% 12.44/12.64 tff(12908,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12907, 12903])).
% 12.44/12.64 tff(12909,plain,
% 12.44/12.64 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node80(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node80(c_s, s3)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12910,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node80(c_s, s3)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12911,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node80(c_s, s3))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12910, 12909])).
% 12.44/12.64 tff(12912,plain,
% 12.44/12.64 (~node80(c_s, s3)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12911, 12908, 12791])).
% 12.44/12.64 tff(12913,plain,
% 12.44/12.64 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node77(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node77(c_s, s3)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12914,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node77(c_s, s3)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12915,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node77(c_s, s3))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12914, 12913])).
% 12.44/12.64 tff(12916,plain,
% 12.44/12.64 (~node77(c_s, s3)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12915, 12256, 12791])).
% 12.44/12.64 tff(12917,plain,
% 12.44/12.64 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node79(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X))))),
% 12.44/12.64 inference(bind,[status(th)],[])).
% 12.44/12.64 tff(12918,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))),
% 12.44/12.64 inference(quant_intro,[status(thm)],[12917])).
% 12.44/12.64 tff(12919,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12920,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_180')).
% 12.44/12.64 tff(12921,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 12.44/12.64 tff(12922,plain,(
% 12.44/12.64 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))),
% 12.44/12.64 inference(skolemize,[status(sab)],[12921])).
% 12.44/12.64 tff(12923,plain,
% 12.44/12.64 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12922, 12918])).
% 12.44/12.64 tff(12924,plain,
% 12.44/12.64 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node79(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node79(c_s, s3)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12925,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node79(c_s, s3)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12926,plain,
% 12.44/12.64 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node79(c_s, s3))),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 12.44/12.64 tff(12927,plain,
% 12.44/12.64 (~node79(c_s, s3)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12926, 12923, 12813])).
% 12.44/12.64 tff(12928,plain,
% 12.44/12.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12929,plain,
% 12.44/12.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12930,plain,
% 12.44/12.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4)),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 12.44/12.64 tff(12931,plain,
% 12.44/12.64 (node82(c_s, s3, s4)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12930, 28, 12044, 1179])).
% 12.44/12.64 tff(12932,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12933,plain,
% 12.44/12.64 ((node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4))) <=> (node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12934,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3)))),
% 12.44/12.64 inference(monotonicity,[status(thm)],[12933])).
% 12.44/12.64 tff(12935,plain,
% 12.44/12.64 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3))),
% 12.44/12.64 inference(transitivity,[status(thm)],[12934, 12932])).
% 12.44/12.64 tff(12936,plain,
% 12.44/12.64 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12937,plain,
% 12.44/12.64 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)) | node80(c_s, s3) | node77(c_s, s3)),
% 12.44/12.64 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 12.44/12.64 tff(12938,plain,
% 12.44/12.64 (node78(c_s, s3) | node79(c_s, s3) | node81(c_s, s3, s4) | node80(c_s, s3) | node77(c_s, s3)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12937, 12326, 12931])).
% 12.44/12.64 tff(12939,plain,
% 12.44/12.64 (node81(c_s, s3, s4)),
% 12.44/12.64 inference(unit_resolution,[status(thm)],[12938, 12927, 12916, 12912, 12901])).
% 12.44/12.64 tff(12940,plain,
% 12.44/12.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12941,plain,
% 12.44/12.64 (((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb))) <=> (m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb)))),
% 12.44/12.64 inference(rewrite,[status(thm)],[])).
% 12.44/12.64 tff(12942,plain,
% 12.44/12.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb))))),
% 12.44/12.64 inference(monotonicity,[status(thm)],[12941])).
% 12.44/12.64 tff(12943,plain,
% 12.44/12.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb)))),
% 12.44/12.64 inference(transitivity,[status(thm)],[12942, 12940])).
% 12.44/12.64 tff(12944,plain,
% 12.44/12.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))),
% 12.44/12.64 inference(quant_inst,[status(thm)],[])).
% 12.44/12.64 tff(12945,plain,
% 12.44/12.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovb))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 12.44/12.65 tff(12946,plain,
% 12.44/12.65 (~m_state_v_gvp(c_s, s4, c_ovb)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12945, 12428, 12435, 12939])).
% 12.44/12.65 tff(12947,plain,
% 12.44/12.65 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12948,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12949,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 12.44/12.65 tff(12950,plain,
% 12.44/12.65 (~node92(c_s, s4)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12949, 12442, 12946])).
% 12.44/12.65 tff(12951,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12952,plain,
% 12.44/12.65 (((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf))) <=> ((~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12953,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[12952])).
% 12.44/12.65 tff(12954,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[12953, 12951])).
% 12.44/12.65 tff(12955,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12956,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s3, c_ovf)) | m_state_v_gvp(c_s, s2, c_ovf) | (~node81(c_s, s2, s3))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 12.44/12.65 tff(12957,plain,
% 12.44/12.65 (~m_state_v_gvp(c_s, s3, c_ovf)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12956, 12428, 12400, 12418])).
% 12.44/12.65 tff(12958,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12959,plain,
% 12.44/12.65 (((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf))) <=> (m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12960,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[12959])).
% 12.44/12.65 tff(12961,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[12960, 12958])).
% 12.44/12.65 tff(12962,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12963,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s4, c_ovf))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 12.44/12.65 tff(12964,plain,
% 12.44/12.65 (~m_state_v_gvp(c_s, s4, c_ovf)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12963, 12428, 12957, 12939])).
% 12.44/12.65 tff(12965,plain,
% 12.44/12.65 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))))),
% 12.44/12.65 inference(bind,[status(th)],[])).
% 12.44/12.65 tff(12966,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 12.44/12.65 inference(quant_intro,[status(thm)],[12965])).
% 12.44/12.65 tff(12967,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12968,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_28')).
% 12.44/12.65 tff(12969,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12968, 12967])).
% 12.44/12.65 tff(12970,plain,(
% 12.44/12.65 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 12.44/12.65 inference(skolemize,[status(sab)],[12969])).
% 12.44/12.65 tff(12971,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12970, 12966])).
% 12.44/12.65 tff(12972,plain,
% 12.44/12.65 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12973,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12974,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 12.44/12.65 tff(12975,plain,
% 12.44/12.65 (~node95(c_s, s4)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12974, 12971, 12964])).
% 12.44/12.65 tff(12976,plain,
% 12.44/12.65 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node97(J0, X))) <=> (m_state_v_gob(J0, X) | (~node97(J0, X))))),
% 12.44/12.65 inference(bind,[status(th)],[])).
% 12.44/12.65 tff(12977,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 12.44/12.65 inference(quant_intro,[status(thm)],[12976])).
% 12.44/12.65 tff(12978,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12979,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_32')).
% 12.44/12.65 tff(12980,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 12.44/12.65 tff(12981,plain,(
% 12.44/12.65 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 12.44/12.65 inference(skolemize,[status(sab)],[12980])).
% 12.44/12.65 tff(12982,plain,
% 12.44/12.65 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12981, 12977])).
% 12.44/12.65 tff(12983,plain,
% 12.44/12.65 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | ((~node97(c_s, s4)) | m_state_v_gob(c_s, s4))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (~node97(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12984,plain,
% 12.44/12.65 ((m_state_v_gob(c_s, s4) | (~node97(c_s, s4))) <=> ((~node97(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12985,plain,
% 12.44/12.65 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | ((~node97(c_s, s4)) | m_state_v_gob(c_s, s4)))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[12984])).
% 12.44/12.65 tff(12986,plain,
% 12.44/12.65 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (~node97(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.44/12.65 inference(transitivity,[status(thm)],[12985, 12983])).
% 12.44/12.65 tff(12987,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12988,plain,
% 12.44/12.65 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (~node97(c_s, s4)) | m_state_v_gob(c_s, s4)),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 12.44/12.65 tff(12989,plain,
% 12.44/12.65 (~node97(c_s, s4)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12988, 12982, 12876])).
% 12.44/12.65 tff(12990,assumption,(~m_state_v_CVM(c_s, s5, c_idle)), introduced(assumption)).
% 12.44/12.65 tff(12991,assumption,(~m_state_v_CVM(c_s, s4, c_down)), introduced(assumption)).
% 12.44/12.65 tff(12992,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12993,plain,
% 12.44/12.65 (((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd)) <=> (m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(12994,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[12993])).
% 12.44/12.65 tff(12995,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[12994, 12992])).
% 12.44/12.65 tff(12996,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(12997,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s3, c_sd) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~node81(c_s, s2, s3))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[12996, 12995])).
% 12.44/12.65 tff(12998,plain,
% 12.44/12.65 (m_state_v_gvp(c_s, s3, c_sd)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[12997, 12343, 12374, 12418])).
% 12.44/12.65 tff(12999,assumption,(~m_state_v_gvp(c_s, s4, c_sd)), introduced(assumption)).
% 12.44/12.65 tff(13000,assumption,(m_state_v_gvp(c_s, s3, c_sd)), introduced(assumption)).
% 12.44/12.65 tff(13001,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13002,plain,
% 12.44/12.65 (((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd)) <=> (m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13003,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[13002])).
% 12.44/12.65 tff(13004,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[13003, 13001])).
% 12.44/12.65 tff(13005,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(13006,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s4, c_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~node81(c_s, s3, s4))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 12.44/12.65 tff(13007,plain,
% 12.44/12.65 ($false),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13006, 12343, 13000, 12939, 12999])).
% 12.44/12.65 tff(13008,plain,((~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.44/12.65 tff(13009,plain,
% 12.44/12.65 (m_state_v_gvp(c_s, s4, c_sd)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13008, 12998])).
% 12.44/12.65 tff(13010,plain,
% 12.44/12.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13011,plain,
% 12.44/12.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(13012,plain,
% 12.44/12.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5)),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 12.44/12.65 tff(13013,plain,
% 12.44/12.65 (node99(c_s, s4, s5)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13012, 12030, 12027, 4253])).
% 12.44/12.65 tff(13014,plain,
% 12.44/12.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13015,plain,
% 12.44/12.65 (((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_up)) | node92(c_s, s4) | m_state_v_CVM(c_s, s5, c_idle) | (~node99(c_s, s4, s5))) <=> (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13016,plain,
% 12.44/12.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_up)) | node92(c_s, s4) | m_state_v_CVM(c_s, s5, c_idle) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[13015])).
% 12.44/12.65 tff(13017,plain,
% 12.44/12.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_up)) | node92(c_s, s4) | m_state_v_CVM(c_s, s5, c_idle) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[13016, 13014])).
% 12.44/12.65 tff(13018,plain,
% 12.44/12.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_up)) | node92(c_s, s4) | m_state_v_CVM(c_s, s5, c_idle) | (~node99(c_s, s4, s5)))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(13019,plain,
% 12.44/12.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~node99(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13018, 13017])).
% 12.44/12.65 tff(13020,plain,
% 12.44/12.65 (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_gvp(c_s, s4, c_sd)) | node92(c_s, s4) | (~m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13019, 12778, 13013])).
% 12.44/12.65 tff(13021,plain,
% 12.44/12.65 (~m_state_v_CVM(c_s, s4, c_up)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13020, 12990, 13009, 12950])).
% 12.44/12.65 tff(13022,plain,
% 12.44/12.65 (^[I0: $i, X: $i] : refl((m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)) <=> (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)))),
% 12.44/12.65 inference(bind,[status(th)],[])).
% 12.44/12.65 tff(13023,plain,
% 12.44/12.65 (![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(quant_intro,[status(thm)],[13022])).
% 12.44/12.65 tff(13024,plain,
% 12.44/12.65 (![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)) <=> ![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13025,plain,
% 12.44/12.65 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_state_v_CVM(I0, X, c_up) | m_state_v_CVM(I0, X, c_down)) <=> (m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))), (((m_state_v_CVM(I0, X, c_up) | m_state_v_CVM(I0, X, c_down)) | m_state_v_CVM(I0, X, c_idle)) <=> ((m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)) | m_state_v_CVM(I0, X, c_idle)))), rewrite(((m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up)) | m_state_v_CVM(I0, X, c_idle)) <=> (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))), (((m_state_v_CVM(I0, X, c_up) | m_state_v_CVM(I0, X, c_down)) | m_state_v_CVM(I0, X, c_idle)) <=> (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))))),
% 12.44/12.65 inference(bind,[status(th)],[])).
% 12.44/12.65 tff(13026,plain,
% 12.44/12.65 (![I0: $i, X: $i] : ((m_state_v_CVM(I0, X, c_up) | m_state_v_CVM(I0, X, c_down)) | m_state_v_CVM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(quant_intro,[status(thm)],[13025])).
% 12.44/12.65 tff(13027,axiom,(![I0: $i, X: $i] : ((m_state_v_CVM(I0, X, c_up) | m_state_v_CVM(I0, X, c_down)) | m_state_v_CVM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_19')).
% 12.44/12.65 tff(13028,plain,
% 12.44/12.65 (![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13027, 13026])).
% 12.44/12.65 tff(13029,plain,
% 12.44/12.65 (![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13028, 13024])).
% 12.44/12.65 tff(13030,plain,(
% 12.44/12.65 ![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(skolemize,[status(sab)],[13029])).
% 12.44/12.65 tff(13031,plain,
% 12.44/12.65 (![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13030, 13023])).
% 12.44/12.65 tff(13032,plain,
% 12.44/12.65 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13033,plain,
% 12.44/12.65 ((m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_up)) <=> (m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13034,plain,
% 12.44/12.65 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up)))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[13033])).
% 12.44/12.65 tff(13035,plain,
% 12.44/12.65 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(transitivity,[status(thm)],[13034, 13032])).
% 12.44/12.65 tff(13036,plain,
% 12.44/12.65 ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_up))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(13037,plain,
% 12.44/12.65 ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up)),
% 12.44/12.65 inference(modus_ponens,[status(thm)],[13036, 13035])).
% 12.44/12.65 tff(13038,plain,
% 12.44/12.65 (m_state_v_CVM(c_s, s4, c_down) | m_state_v_CVM(c_s, s4, c_idle) | m_state_v_CVM(c_s, s4, c_up)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13037, 13031])).
% 12.44/12.65 tff(13039,plain,
% 12.44/12.65 (m_state_v_CVM(c_s, s4, c_idle)),
% 12.44/12.65 inference(unit_resolution,[status(thm)],[13038, 13021, 12991])).
% 12.44/12.65 tff(13040,assumption,(node98(c_s, s4, s5)), introduced(assumption)).
% 12.44/12.65 tff(13041,assumption,(m_state_v_CVM(c_s, s4, c_idle)), introduced(assumption)).
% 12.44/12.65 tff(13042,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13043,plain,
% 12.44/12.65 (((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle)) <=> (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5)))),
% 12.44/12.65 inference(rewrite,[status(thm)],[])).
% 12.44/12.65 tff(13044,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5))))),
% 12.44/12.65 inference(monotonicity,[status(thm)],[13043])).
% 12.44/12.65 tff(13045,plain,
% 12.44/12.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5)))),
% 12.44/12.65 inference(transitivity,[status(thm)],[13044, 13042])).
% 12.44/12.65 tff(13046,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))),
% 12.44/12.65 inference(quant_inst,[status(thm)],[])).
% 12.44/12.65 tff(13047,plain,
% 12.44/12.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_idle) | (~m_state_v_CVM(c_s, s4, c_idle)) | (~node98(c_s, s4, s5))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 12.44/12.66 tff(13048,plain,
% 12.44/12.66 ($false),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13047, 12688, 12990, 13041, 13040])).
% 12.44/12.66 tff(13049,plain,((~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 12.44/12.66 tff(13050,plain,
% 12.44/12.66 (~node98(c_s, s4, s5)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13049, 13039, 12990])).
% 12.44/12.66 tff(13051,assumption,(m_state_v_ff(c_s, s0)), introduced(assumption)).
% 12.44/12.66 tff(13052,plain,
% 12.44/12.66 (^[I0: $i] : refl((~m_state_v_ff(I0, s0)) <=> (~m_state_v_ff(I0, s0)))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13053,plain,
% 12.44/12.66 (![I0: $i] : (~m_state_v_ff(I0, s0)) <=> ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13052])).
% 12.44/12.66 tff(13054,plain,
% 12.44/12.66 (![I0: $i] : (~m_state_v_ff(I0, s0)) <=> ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13055,axiom,(![I0: $i] : (~m_state_v_ff(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_115')).
% 12.44/12.66 tff(13056,plain,
% 12.44/12.66 (![I0: $i] : (~m_state_v_ff(I0, s0))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 12.44/12.66 tff(13057,plain,(
% 12.44/12.66 ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13056])).
% 12.44/12.66 tff(13058,plain,
% 12.44/12.66 (![I0: $i] : (~m_state_v_ff(I0, s0))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13057, 13053])).
% 12.44/12.66 tff(13059,plain,
% 12.44/12.66 ((~![I0: $i] : (~m_state_v_ff(I0, s0))) | (~m_state_v_ff(c_s, s0))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13060,plain,
% 12.44/12.66 ($false),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13059, 13058, 13051])).
% 12.44/12.66 tff(13061,plain,(~m_state_v_ff(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 12.44/12.66 tff(13062,plain,
% 12.44/12.66 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13063,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13062])).
% 12.44/12.66 tff(13064,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13065,plain,
% 12.44/12.66 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node16(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))), (((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13066,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13065])).
% 12.44/12.66 tff(13067,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_48')).
% 12.44/12.66 tff(13068,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13067, 13066])).
% 12.44/12.66 tff(13069,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13068, 13064])).
% 12.44/12.66 tff(13070,plain,(
% 12.44/12.66 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13069])).
% 12.44/12.66 tff(13071,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13070, 13063])).
% 12.44/12.66 tff(13072,plain,
% 12.44/12.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13073,plain,
% 12.44/12.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13074,plain,
% 12.44/12.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1)),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 12.44/12.66 tff(13075,plain,
% 12.44/12.66 (node16(c_s, s0, s1)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13074, 2055, 13071, 39])).
% 12.44/12.66 tff(13076,plain,
% 12.44/12.66 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | ((~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13077,plain,
% 12.44/12.66 ((m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0))) <=> ((~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13078,plain,
% 12.44/12.66 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | ((~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)))),
% 12.44/12.66 inference(monotonicity,[status(thm)],[13077])).
% 12.44/12.66 tff(13079,plain,
% 12.44/12.66 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on))),
% 12.44/12.66 inference(transitivity,[status(thm)],[13078, 13076])).
% 12.44/12.66 tff(13080,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13081,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (~node13(c_s, s0)) | m_state_v_FBM(c_s, s0, c_on)),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 12.44/12.66 tff(13082,plain,
% 12.44/12.66 (~node13(c_s, s0)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13081, 12013, 2143])).
% 12.44/12.66 tff(13083,plain,
% 12.44/12.66 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_gof(J0, X)) <=> ((~node14(J0, X)) | m_state_v_gof(J0, X)))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13084,plain,
% 12.44/12.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13083])).
% 12.44/12.66 tff(13085,plain,
% 12.44/12.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13086,plain,
% 12.44/12.66 (^[X: $i, J0: $i] : rewrite((m_state_v_gof(J0, X) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_gof(J0, X)))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13087,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13086])).
% 12.44/12.66 tff(13088,axiom,(![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node14(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_40')).
% 12.44/12.66 tff(13089,plain,
% 12.44/12.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 12.44/12.66 tff(13090,plain,
% 12.44/12.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13089, 13085])).
% 12.44/12.66 tff(13091,plain,(
% 12.44/12.66 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13090])).
% 12.44/12.66 tff(13092,plain,
% 12.44/12.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13091, 13084])).
% 12.44/12.66 tff(13093,plain,
% 12.44/12.66 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))) | ((~node14(c_s, s0)) | m_state_v_gof(c_s, s0))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))) | (~node14(c_s, s0)) | m_state_v_gof(c_s, s0))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13094,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))) | ((~node14(c_s, s0)) | m_state_v_gof(c_s, s0))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13095,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gof(J0, X))) | (~node14(c_s, s0)) | m_state_v_gof(c_s, s0)),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 12.44/12.66 tff(13096,plain,
% 12.44/12.66 (~node14(c_s, s0)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13095, 13092, 12513])).
% 12.44/12.66 tff(13097,plain,
% 12.44/12.66 (^[Y: $i, X: $i, J0: $i] : refl((node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13098,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13097])).
% 12.44/12.66 tff(13099,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13100,plain,
% 12.44/12.66 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y))), ((((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> ((node13(J0, X) | node14(J0, X) | node15(J0, X, Y)) | (~node16(J0, X, Y))))), rewrite(((node13(J0, X) | node14(J0, X) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))), ((((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13101,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13100])).
% 12.44/12.66 tff(13102,axiom,(![Y: $i, X: $i, J0: $i] : (((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_47')).
% 12.44/12.66 tff(13103,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 12.44/12.66 tff(13104,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13103, 13099])).
% 12.44/12.66 tff(13105,plain,(
% 12.44/12.66 ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13104])).
% 12.44/12.66 tff(13106,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13105, 13098])).
% 12.44/12.66 tff(13107,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13108,plain,
% 12.44/12.66 ((node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1))) <=> (node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13109,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1)))),
% 12.44/12.66 inference(monotonicity,[status(thm)],[13108])).
% 12.44/12.66 tff(13110,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1))),
% 12.44/12.66 inference(transitivity,[status(thm)],[13109, 13107])).
% 12.44/12.66 tff(13111,plain,
% 12.44/12.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13112,plain,
% 12.44/12.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s0) | node13(c_s, s0) | (~node16(c_s, s0, s1)) | node15(c_s, s0, s1)),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 12.44/12.66 tff(13113,plain,
% 12.44/12.66 (node15(c_s, s0, s1)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13112, 13106, 13096, 13082, 13075])).
% 12.44/12.66 tff(13114,plain,
% 12.44/12.66 (^[Y: $i, X: $i, J0: $i] : refl(((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13115,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13114])).
% 12.44/12.66 tff(13116,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13117,plain,
% 12.44/12.66 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y))) <=> ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13118,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13117])).
% 12.44/12.66 tff(13119,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_44')).
% 12.44/12.66 tff(13120,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 12.44/12.66 tff(13121,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13120, 13116])).
% 12.44/12.66 tff(13122,plain,(
% 12.44/12.66 ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13121])).
% 12.44/12.66 tff(13123,plain,
% 12.44/12.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13122, 13115])).
% 12.44/12.66 tff(13124,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13125,plain,
% 12.44/12.66 (((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1))) <=> ((~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13126,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1))))),
% 12.44/12.66 inference(monotonicity,[status(thm)],[13125])).
% 12.44/12.66 tff(13127,plain,
% 12.44/12.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1)))),
% 12.44/12.66 inference(transitivity,[status(thm)],[13126, 13124])).
% 12.44/12.66 tff(13128,plain,
% 12.44/12.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13129,plain,
% 12.44/12.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0) | (~node15(c_s, s0, s1))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 12.44/12.66 tff(13130,plain,
% 12.44/12.66 ((~m_state_v_ff(c_s, s1)) | m_state_v_ff(c_s, s0)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13129, 13123, 13113])).
% 12.44/12.66 tff(13131,plain,
% 12.44/12.66 (~m_state_v_ff(c_s, s1)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13130, 13061])).
% 12.44/12.66 tff(13132,plain,
% 12.44/12.66 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13133,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13132])).
% 12.44/12.66 tff(13134,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13135,plain,
% 12.44/12.66 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13136,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13135])).
% 12.44/12.66 tff(13137,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_15')).
% 12.44/12.66 tff(13138,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 12.44/12.66 tff(13139,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13138, 13134])).
% 12.44/12.66 tff(13140,plain,(
% 12.44/12.66 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13139])).
% 12.44/12.66 tff(13141,plain,
% 12.44/12.66 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13140, 13133])).
% 12.44/12.66 tff(13142,plain,
% 12.44/12.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13143,plain,
% 12.44/12.66 (((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13144,plain,
% 12.44/12.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1)))),
% 12.44/12.66 inference(monotonicity,[status(thm)],[13143])).
% 12.44/12.66 tff(13145,plain,
% 12.44/12.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 12.44/12.66 inference(transitivity,[status(thm)],[13144, 13142])).
% 12.44/12.66 tff(13146,plain,
% 12.44/12.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13147,plain,
% 12.44/12.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1)),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 12.44/12.66 tff(13148,plain,
% 12.44/12.66 (node91(c_s, s0, s1)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13147, 12030, 13141, 39])).
% 12.44/12.66 tff(13149,plain,
% 12.44/12.66 (^[I0: $i, X: $i] : refl(((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13150,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13149])).
% 12.44/12.66 tff(13151,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13152,plain,
% 12.44/12.66 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off))) <=> ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13153,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13152])).
% 12.44/12.66 tff(13154,axiom,(![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_18')).
% 12.44/12.66 tff(13155,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13154, 13153])).
% 12.44/12.66 tff(13156,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13155, 13151])).
% 12.44/12.66 tff(13157,plain,(
% 12.44/12.66 ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13156])).
% 12.44/12.66 tff(13158,plain,
% 12.44/12.66 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13157, 13150])).
% 12.44/12.66 tff(13159,plain,
% 12.44/12.66 (((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13160,plain,
% 12.44/12.66 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13161,plain,
% 12.44/12.66 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 12.44/12.66 tff(13162,plain,
% 12.44/12.66 (~m_state_v_CMag(c_s, s0, c_off)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13161, 13158, 12084])).
% 12.44/12.66 tff(13163,plain,
% 12.44/12.66 (^[X: $i, J0: $i] : refl((m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13164,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13163])).
% 12.44/12.66 tff(13165,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13166,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_5')).
% 12.44/12.66 tff(13167,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 12.44/12.66 tff(13168,plain,(
% 12.44/12.66 ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 12.44/12.66 inference(skolemize,[status(sab)],[13167])).
% 12.44/12.66 tff(13169,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13168, 13164])).
% 12.44/12.66 tff(13170,plain,
% 12.44/12.66 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))),
% 12.44/12.66 inference(rewrite,[status(thm)],[])).
% 12.44/12.66 tff(13171,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))),
% 12.44/12.66 inference(quant_inst,[status(thm)],[])).
% 12.44/12.66 tff(13172,plain,
% 12.44/12.66 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0))),
% 12.44/12.66 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 12.44/12.66 tff(13173,plain,
% 12.44/12.66 (~node88(c_s, s0)),
% 12.44/12.66 inference(unit_resolution,[status(thm)],[13172, 13169, 13162])).
% 12.44/12.66 tff(13174,plain,
% 12.44/12.66 (^[X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node89(J0, X))) <=> (m_state_v_gof(J0, X) | (~node89(J0, X))))),
% 12.44/12.66 inference(bind,[status(th)],[])).
% 12.44/12.66 tff(13175,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))),
% 12.44/12.66 inference(quant_intro,[status(thm)],[13174])).
% 12.44/12.66 tff(13176,plain,
% 12.44/12.66 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13177,axiom,(![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_9')).
% 12.44/12.67 tff(13178,plain,
% 12.44/12.67 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 12.44/12.67 tff(13179,plain,(
% 12.44/12.67 ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))),
% 12.44/12.67 inference(skolemize,[status(sab)],[13178])).
% 12.44/12.67 tff(13180,plain,
% 12.44/12.67 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13179, 13175])).
% 12.44/12.67 tff(13181,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node89(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))) | m_state_v_gof(c_s, s0) | (~node89(c_s, s0)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13182,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))) | (m_state_v_gof(c_s, s0) | (~node89(c_s, s0)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13183,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node89(J0, X)))) | m_state_v_gof(c_s, s0) | (~node89(c_s, s0))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13182, 13181])).
% 12.44/12.67 tff(13184,plain,
% 12.44/12.67 (~node89(c_s, s0)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13183, 13180, 12513])).
% 12.44/12.67 tff(13185,plain,
% 12.44/12.67 (^[Y: $i, X: $i, J0: $i] : refl((node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13186,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13185])).
% 12.44/12.67 tff(13187,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13188,plain,
% 12.44/12.67 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y))), ((((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> ((node88(J0, X) | node89(J0, X) | node90(J0, X, Y)) | (~node91(J0, X, Y))))), rewrite(((node88(J0, X) | node89(J0, X) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))), ((((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13189,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13188])).
% 12.44/12.67 tff(13190,axiom,(![Y: $i, X: $i, J0: $i] : (((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_14')).
% 12.44/12.67 tff(13191,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 12.44/12.67 tff(13192,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13191, 13187])).
% 12.44/12.67 tff(13193,plain,(
% 12.44/12.67 ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(skolemize,[status(sab)],[13192])).
% 12.44/12.67 tff(13194,plain,
% 12.44/12.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13193, 13186])).
% 12.44/12.67 tff(13195,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13196,plain,
% 12.44/12.67 ((node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1))) <=> (node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13197,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1))))),
% 12.44/12.67 inference(monotonicity,[status(thm)],[13196])).
% 12.44/12.67 tff(13198,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))),
% 12.44/12.67 inference(transitivity,[status(thm)],[13197, 13195])).
% 12.44/12.67 tff(13199,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13200,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s0) | node88(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13199, 13198])).
% 12.44/12.67 tff(13201,plain,
% 12.44/12.67 (node90(c_s, s0, s1)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13200, 13194, 13184, 13173, 13148])).
% 12.44/12.67 tff(13202,plain,
% 12.44/12.67 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13203,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13202])).
% 12.44/12.67 tff(13204,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13205,plain,
% 12.44/12.67 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y))) <=> ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13206,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13205])).
% 12.44/12.67 tff(13207,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_11')).
% 12.44/12.67 tff(13208,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 12.44/12.67 tff(13209,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13208, 13204])).
% 12.44/12.67 tff(13210,plain,(
% 12.44/12.67 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(skolemize,[status(sab)],[13209])).
% 12.44/12.67 tff(13211,plain,
% 12.44/12.67 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13210, 13203])).
% 12.44/12.67 tff(13212,plain,
% 12.44/12.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13213,plain,
% 12.44/12.67 (((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off))) <=> (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13214,plain,
% 12.44/12.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1))))),
% 12.44/12.67 inference(monotonicity,[status(thm)],[13213])).
% 12.44/12.67 tff(13215,plain,
% 12.44/12.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 12.44/12.67 inference(transitivity,[status(thm)],[13214, 13212])).
% 12.44/12.67 tff(13216,plain,
% 12.44/12.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13217,plain,
% 12.44/12.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 12.44/12.67 tff(13218,plain,
% 12.44/12.67 (~m_state_v_CMag(c_s, s1, c_off)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13217, 13211, 13162, 13201])).
% 12.44/12.67 tff(13219,plain,
% 12.44/12.67 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13220,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13219])).
% 12.44/12.67 tff(13221,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13222,plain,
% 12.44/12.67 (^[X: $i, J0: $i] : rewrite((m_state_v_CMag(J0, X, c_off) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13223,plain,
% 12.44/12.67 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13222])).
% 12.44/12.67 tff(13224,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node14(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_42')).
% 12.44/12.67 tff(13225,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 12.44/12.67 tff(13226,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13225, 13221])).
% 12.44/12.67 tff(13227,plain,(
% 12.44/12.67 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(skolemize,[status(sab)],[13226])).
% 12.44/12.67 tff(13228,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13227, 13220])).
% 12.44/12.67 tff(13229,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13230,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13231,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off)),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 12.44/12.67 tff(13232,plain,
% 12.44/12.67 (~node14(c_s, s1)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13231, 13228, 13218])).
% 12.44/12.67 tff(13233,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13234,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13235,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 12.44/12.67 tff(13236,plain,
% 12.44/12.67 (~node13(c_s, s1)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13235, 12013, 6652])).
% 12.44/12.67 tff(13237,plain,
% 12.44/12.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13238,plain,
% 12.44/12.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13239,plain,
% 12.44/12.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2)),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 12.44/12.67 tff(13240,plain,
% 12.44/12.67 (node16(c_s, s1, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13239, 2055, 13071, 226])).
% 12.44/12.67 tff(13241,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13242,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13243,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13242, 13241])).
% 12.44/12.67 tff(13244,plain,
% 12.44/12.67 (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13243, 13106, 13240])).
% 12.44/12.67 tff(13245,plain,
% 12.44/12.67 (node15(c_s, s1, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13244, 13236, 13232])).
% 12.44/12.67 tff(13246,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13247,plain,
% 12.44/12.67 (((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2))) <=> ((~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13248,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1)))),
% 12.44/12.67 inference(monotonicity,[status(thm)],[13247])).
% 12.44/12.67 tff(13249,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1))),
% 12.44/12.67 inference(transitivity,[status(thm)],[13248, 13246])).
% 12.44/12.67 tff(13250,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13251,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | (~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1)),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13250, 13249])).
% 12.44/12.67 tff(13252,plain,
% 12.44/12.67 ((~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13251, 13123, 13245])).
% 12.44/12.67 tff(13253,plain,
% 12.44/12.67 (~m_state_v_ff(c_s, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13252, 13131])).
% 12.44/12.67 tff(13254,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13255,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13256,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 12.44/12.67 tff(13257,plain,
% 12.44/12.67 (~node13(c_s, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13256, 12013, 6681])).
% 12.44/12.67 tff(13258,plain,
% 12.44/12.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13259,plain,
% 12.44/12.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13260,plain,
% 12.44/12.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3)),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 12.44/12.67 tff(13261,plain,
% 12.44/12.67 (node16(c_s, s2, s3)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13260, 2055, 13071, 794])).
% 12.44/12.67 tff(13262,plain,
% 12.44/12.67 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13263,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13262])).
% 12.44/12.67 tff(13264,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13265,plain,
% 12.44/12.67 (^[X: $i, J0: $i] : rewrite((m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)))),
% 12.44/12.67 inference(bind,[status(th)],[])).
% 12.44/12.67 tff(13266,plain,
% 12.44/12.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(quant_intro,[status(thm)],[13265])).
% 12.44/12.67 tff(13267,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_39')).
% 12.44/12.67 tff(13268,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 12.44/12.67 tff(13269,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13268, 13264])).
% 12.44/12.67 tff(13270,plain,(
% 12.44/12.67 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(skolemize,[status(sab)],[13269])).
% 12.44/12.67 tff(13271,plain,
% 12.44/12.67 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13270, 13263])).
% 12.44/12.67 tff(13272,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13273,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13274,plain,
% 12.44/12.67 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf)),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13273, 13272])).
% 12.44/12.67 tff(13275,plain,
% 12.44/12.67 (~node14(c_s, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13274, 13271, 12400])).
% 12.44/12.67 tff(13276,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13277,plain,
% 12.44/12.67 ((node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3))) <=> (node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13278,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3))))),
% 12.44/12.67 inference(monotonicity,[status(thm)],[13277])).
% 12.44/12.67 tff(13279,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3)))),
% 12.44/12.67 inference(transitivity,[status(thm)],[13278, 13276])).
% 12.44/12.67 tff(13280,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13281,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2) | (~node16(c_s, s2, s3))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 12.44/12.67 tff(13282,plain,
% 12.44/12.67 (node15(c_s, s2, s3) | node13(c_s, s2)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13281, 13106, 13275, 13261])).
% 12.44/12.67 tff(13283,plain,
% 12.44/12.67 (node15(c_s, s2, s3)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13282, 13257])).
% 12.44/12.67 tff(13284,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13285,plain,
% 12.44/12.67 (((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3))) <=> (m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3)))),
% 12.44/12.67 inference(rewrite,[status(thm)],[])).
% 12.44/12.67 tff(13286,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3))))),
% 12.44/12.67 inference(monotonicity,[status(thm)],[13285])).
% 12.44/12.67 tff(13287,plain,
% 12.44/12.67 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3)))),
% 12.44/12.67 inference(transitivity,[status(thm)],[13286, 13284])).
% 12.44/12.67 tff(13288,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))),
% 12.44/12.67 inference(quant_inst,[status(thm)],[])).
% 12.44/12.67 tff(13289,plain,
% 12.44/12.67 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)) | (~node15(c_s, s2, s3))),
% 12.44/12.67 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 12.44/12.67 tff(13290,plain,
% 12.44/12.67 (m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3))),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13289, 13123, 13283])).
% 12.44/12.67 tff(13291,plain,
% 12.44/12.67 (~m_state_v_ff(c_s, s3)),
% 12.44/12.67 inference(unit_resolution,[status(thm)],[13290, 13253])).
% 12.44/12.67 tff(13292,plain,
% 12.44/12.67 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13293,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13294,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 12.52/12.68 tff(13295,plain,
% 12.52/12.68 (~node13(c_s, s3)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13294, 12013, 6722])).
% 12.52/12.68 tff(13296,plain,
% 12.52/12.68 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle)) <=> ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle)))),
% 12.52/12.68 inference(bind,[status(th)],[])).
% 12.52/12.68 tff(13297,plain,
% 12.52/12.68 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(quant_intro,[status(thm)],[13296])).
% 12.52/12.68 tff(13298,plain,
% 12.52/12.68 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13299,plain,
% 12.52/12.68 (^[X: $i, J0: $i] : rewrite((m_state_v_CHM(J0, X, c_idle) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle)))),
% 12.52/12.68 inference(bind,[status(th)],[])).
% 12.52/12.68 tff(13300,plain,
% 12.52/12.68 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(quant_intro,[status(thm)],[13299])).
% 12.52/12.68 tff(13301,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node14(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_41')).
% 12.52/12.68 tff(13302,plain,
% 12.52/12.68 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13301, 13300])).
% 12.52/12.68 tff(13303,plain,
% 12.52/12.68 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13302, 13298])).
% 12.52/12.68 tff(13304,plain,(
% 12.52/12.68 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(skolemize,[status(sab)],[13303])).
% 12.52/12.68 tff(13305,plain,
% 12.52/12.68 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13304, 13297])).
% 12.52/12.68 tff(13306,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))) | ((~node14(c_s, s3)) | m_state_v_CHM(c_s, s3, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))) | (~node14(c_s, s3)) | m_state_v_CHM(c_s, s3, c_idle))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13307,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))) | ((~node14(c_s, s3)) | m_state_v_CHM(c_s, s3, c_idle))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13308,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CHM(J0, X, c_idle))) | (~node14(c_s, s3)) | m_state_v_CHM(c_s, s3, c_idle)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 12.52/12.68 tff(13309,plain,
% 12.52/12.68 (~node14(c_s, s3)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13308, 13305, 12749])).
% 12.52/12.68 tff(13310,plain,
% 12.52/12.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13311,plain,
% 12.52/12.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13312,plain,
% 12.52/12.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 12.52/12.68 tff(13313,plain,
% 12.52/12.68 (node16(c_s, s3, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13312, 2055, 13071, 1179])).
% 12.52/12.68 tff(13314,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13315,plain,
% 12.52/12.68 ((node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4))) <=> (node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13316,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3)))),
% 12.52/12.68 inference(monotonicity,[status(thm)],[13315])).
% 12.52/12.68 tff(13317,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3))),
% 12.52/12.68 inference(transitivity,[status(thm)],[13316, 13314])).
% 12.52/12.68 tff(13318,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13319,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)) | node14(c_s, s3)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 12.52/12.68 tff(13320,plain,
% 12.52/12.68 (node13(c_s, s3) | node15(c_s, s3, s4) | node14(c_s, s3)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13319, 13106, 13313])).
% 12.52/12.68 tff(13321,plain,
% 12.52/12.68 (node15(c_s, s3, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13320, 13309, 13295])).
% 12.52/12.68 tff(13322,assumption,(~m_state_v_ff(c_s, s3)), introduced(assumption)).
% 12.52/12.68 tff(13323,assumption,(m_state_v_ff(c_s, s4)), introduced(assumption)).
% 12.52/12.68 tff(13324,assumption,(node15(c_s, s3, s4)), introduced(assumption)).
% 12.52/12.68 tff(13325,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13326,plain,
% 12.52/12.68 (((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4))) <=> ((~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13327,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3)))),
% 12.52/12.68 inference(monotonicity,[status(thm)],[13326])).
% 12.52/12.68 tff(13328,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3))),
% 12.52/12.68 inference(transitivity,[status(thm)],[13327, 13325])).
% 12.52/12.68 tff(13329,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13330,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 12.52/12.68 tff(13331,plain,
% 12.52/12.68 ($false),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13330, 13123, 13324, 13323, 13322])).
% 12.52/12.68 tff(13332,plain,((~node15(c_s, s3, s4)) | (~m_state_v_ff(c_s, s4)) | m_state_v_ff(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 12.52/12.68 tff(13333,plain,
% 12.52/12.68 ((~m_state_v_ff(c_s, s4)) | m_state_v_ff(c_s, s3)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13332, 13321])).
% 12.52/12.68 tff(13334,plain,
% 12.52/12.68 (~m_state_v_ff(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13333, 13291])).
% 12.52/12.68 tff(13335,plain,
% 12.52/12.68 (^[X: $i, J0: $i] : refl((m_state_v_ff(J0, X) | (~node94(J0, X))) <=> (m_state_v_ff(J0, X) | (~node94(J0, X))))),
% 12.52/12.68 inference(bind,[status(th)],[])).
% 12.52/12.68 tff(13336,plain,
% 12.52/12.68 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 12.52/12.68 inference(quant_intro,[status(thm)],[13335])).
% 12.52/12.68 tff(13337,plain,
% 12.52/12.68 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13338,axiom,(![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_26')).
% 12.52/12.68 tff(13339,plain,
% 12.52/12.68 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 12.52/12.68 tff(13340,plain,(
% 12.52/12.68 ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 12.52/12.68 inference(skolemize,[status(sab)],[13339])).
% 12.52/12.68 tff(13341,plain,
% 12.52/12.68 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13340, 13336])).
% 12.52/12.68 tff(13342,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13343,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13344,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s4) | (~node94(c_s, s4))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13343, 13342])).
% 12.52/12.68 tff(13345,plain,
% 12.52/12.68 (~node94(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13344, 13341, 13334])).
% 12.52/12.68 tff(13346,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13347,plain,
% 12.52/12.68 ((node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5))) <=> (node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13348,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5)))),
% 12.52/12.68 inference(monotonicity,[status(thm)],[13347])).
% 12.52/12.68 tff(13349,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5))),
% 12.52/12.68 inference(transitivity,[status(thm)],[13348, 13346])).
% 12.52/12.68 tff(13350,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13351,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | (~node99(c_s, s4, s5)) | node95(c_s, s4) | node98(c_s, s4, s5)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13350, 13349])).
% 12.52/12.68 tff(13352,plain,
% 12.52/12.68 (node97(c_s, s4) | node92(c_s, s4) | node94(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | node95(c_s, s4) | node98(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13351, 12670, 13013])).
% 12.52/12.68 tff(13353,plain,
% 12.52/12.68 (node97(c_s, s4) | node92(c_s, s4) | node93(c_s, s4) | node96(c_s, s4) | node95(c_s, s4) | node98(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13352, 13345])).
% 12.52/12.68 tff(13354,plain,
% 12.52/12.68 (node93(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13353, 13050, 12989, 12975, 12950, 12887])).
% 12.52/12.68 tff(13355,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13356,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13357,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 12.52/12.68 tff(13358,plain,
% 12.52/12.68 ($false),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13357, 12798, 13021, 13354])).
% 12.52/12.68 tff(13359,plain,(m_state_v_CVM(c_s, s5, c_idle) | m_state_v_CVM(c_s, s4, c_down)), inference(lemma,lemma(discharge,[]))).
% 12.52/12.68 tff(13360,plain,
% 12.52/12.68 (m_state_v_CVM(c_s, s5, c_idle)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13359, 12845])).
% 12.52/12.68 tff(13361,assumption,(~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)), introduced(assumption)).
% 12.52/12.68 tff(13362,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13363,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13364,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13363, 13362])).
% 12.52/12.68 tff(13365,plain,
% 12.52/12.68 (~node78(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13364, 12897, 12991])).
% 12.52/12.68 tff(13366,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node79(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node79(c_s, s4)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13367,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node79(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13368,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node79(c_s, s4))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 12.52/12.68 tff(13369,plain,
% 12.52/12.68 (~node79(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13368, 12278, 12964])).
% 12.52/12.68 tff(13370,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node80(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node80(c_s, s4)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13371,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node80(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13372,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node80(c_s, s4))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 12.52/12.68 tff(13373,plain,
% 12.52/12.68 (m_state_v_gvp(c_s, s4, c_ovf) | (~node80(c_s, s4))),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13372, 12289])).
% 12.52/12.68 tff(13374,plain,
% 12.52/12.68 (~node80(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13373, 12964])).
% 12.52/12.68 tff(13375,plain,
% 12.52/12.68 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node77(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node77(c_s, s4)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13376,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node77(c_s, s4)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13377,plain,
% 12.52/12.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node77(c_s, s4))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13376, 13375])).
% 12.52/12.68 tff(13378,plain,
% 12.52/12.68 (m_state_v_gvp(c_s, s4, c_ovb) | (~node77(c_s, s4))),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13377, 12385])).
% 12.52/12.68 tff(13379,plain,
% 12.52/12.68 (~node77(c_s, s4)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13378, 12946])).
% 12.52/12.68 tff(13380,plain,
% 12.52/12.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13381,plain,
% 12.52/12.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13382,plain,
% 12.52/12.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5)),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13381, 13380])).
% 12.52/12.68 tff(13383,plain,
% 12.52/12.68 (node82(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13382, 28, 12044, 4253])).
% 12.52/12.68 tff(13384,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13385,plain,
% 12.52/12.68 ((node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5))) <=> (node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))),
% 12.52/12.68 inference(rewrite,[status(thm)],[])).
% 12.52/12.68 tff(13386,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5))))),
% 12.52/12.68 inference(monotonicity,[status(thm)],[13385])).
% 12.52/12.68 tff(13387,plain,
% 12.52/12.68 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))),
% 12.52/12.68 inference(transitivity,[status(thm)],[13386, 13384])).
% 12.52/12.68 tff(13388,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))),
% 12.52/12.68 inference(quant_inst,[status(thm)],[])).
% 12.52/12.68 tff(13389,plain,
% 12.52/12.68 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5))),
% 12.52/12.68 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 12.52/12.68 tff(13390,plain,
% 12.52/12.68 (node77(c_s, s4) | node80(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node81(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13389, 12326, 13383])).
% 12.52/12.68 tff(13391,plain,
% 12.52/12.68 (node78(c_s, s4) | node81(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13390, 13379, 13374, 13369])).
% 12.52/12.68 tff(13392,plain,
% 12.52/12.68 (node81(c_s, s4, s5)),
% 12.52/12.68 inference(unit_resolution,[status(thm)],[13391, 13365])).
% 12.52/12.68 tff(13393,plain,
% 12.52/12.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13394,plain,
% 12.52/12.69 (((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd)) <=> (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13395,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5))))),
% 12.52/12.69 inference(monotonicity,[status(thm)],[13394])).
% 12.52/12.69 tff(13396,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(transitivity,[status(thm)],[13395, 13393])).
% 12.52/12.69 tff(13397,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13398,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 12.52/12.69 tff(13399,plain,
% 12.52/12.69 (m_state_v_gvp(c_s, s5, c_sd)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13398, 12343, 13009, 13392])).
% 12.52/12.69 tff(13400,plain,
% 12.52/12.69 (m_state_v_CVM(c_s, s5, c_idle)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13359, 12991])).
% 12.52/12.69 tff(13401,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13402,plain,
% 12.52/12.69 (((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb))) <=> (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13403,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5))))),
% 12.52/12.69 inference(monotonicity,[status(thm)],[13402])).
% 12.52/12.69 tff(13404,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(transitivity,[status(thm)],[13403, 13401])).
% 12.52/12.69 tff(13405,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13406,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13405, 13404])).
% 12.52/12.69 tff(13407,plain,
% 12.52/12.69 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13406, 12428, 12946, 13392])).
% 12.52/12.69 tff(13408,plain,
% 12.52/12.69 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))))),
% 12.52/12.69 inference(bind,[status(th)],[])).
% 12.52/12.69 tff(13409,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 12.52/12.69 inference(quant_intro,[status(thm)],[13408])).
% 12.52/12.69 tff(13410,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13411,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_193')).
% 12.52/12.69 tff(13412,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13411, 13410])).
% 12.52/12.69 tff(13413,plain,(
% 12.52/12.69 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 12.52/12.69 inference(skolemize,[status(sab)],[13412])).
% 12.52/12.69 tff(13414,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13413, 13409])).
% 12.52/12.69 tff(13415,plain,
% 12.52/12.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13416,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13417,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 12.52/12.69 tff(13418,plain,
% 12.52/12.69 (~node83(c_s, s5)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13417, 13414, 13407])).
% 12.52/12.69 tff(13419,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13420,plain,
% 12.52/12.69 (((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf))) <=> (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13421,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5))))),
% 12.52/12.69 inference(monotonicity,[status(thm)],[13420])).
% 12.52/12.69 tff(13422,plain,
% 12.52/12.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 12.52/12.69 inference(transitivity,[status(thm)],[13421, 13419])).
% 12.52/12.69 tff(13423,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13424,plain,
% 12.52/12.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 12.52/12.69 tff(13425,plain,
% 12.52/12.69 (~m_state_v_gvp(c_s, s5, c_ovf)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13424, 12428, 12964, 13392])).
% 12.52/12.69 tff(13426,plain,
% 12.52/12.69 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))))),
% 12.52/12.69 inference(bind,[status(th)],[])).
% 12.52/12.69 tff(13427,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 12.52/12.69 inference(quant_intro,[status(thm)],[13426])).
% 12.52/12.69 tff(13428,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13429,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_195')).
% 12.52/12.69 tff(13430,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13429, 13428])).
% 12.52/12.69 tff(13431,plain,(
% 12.52/12.69 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 12.52/12.69 inference(skolemize,[status(sab)],[13430])).
% 12.52/12.69 tff(13432,plain,
% 12.52/12.69 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13431, 13427])).
% 12.52/12.69 tff(13433,plain,
% 12.52/12.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13434,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13435,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13434, 13433])).
% 12.52/12.69 tff(13436,plain,
% 12.52/12.69 (~node84(c_s, s5)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13435, 13432, 13425])).
% 12.52/12.69 tff(13437,plain,
% 12.52/12.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13438,plain,
% 12.52/12.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13439,plain,
% 12.52/12.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6)),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13438, 13437])).
% 12.52/12.69 tff(13440,plain,
% 12.52/12.69 (node87(c_s, s5, s6)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13439, 28, 12058, 15])).
% 12.52/12.69 tff(13441,plain,
% 12.52/12.69 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))),
% 12.52/12.69 inference(bind,[status(th)],[])).
% 12.52/12.69 tff(13442,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(quant_intro,[status(thm)],[13441])).
% 12.52/12.69 tff(13443,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13444,plain,
% 12.52/12.69 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X))), ((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X))), ((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)))), (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))), (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))), ((((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))), ((((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))))),
% 12.52/12.69 inference(bind,[status(th)],[])).
% 12.52/12.69 tff(13445,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(quant_intro,[status(thm)],[13444])).
% 12.52/12.69 tff(13446,axiom,(![Y: $i, X: $i, J0: $i] : (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_202')).
% 12.52/12.69 tff(13447,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13446, 13445])).
% 12.52/12.69 tff(13448,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13447, 13443])).
% 12.52/12.69 tff(13449,plain,(
% 12.52/12.69 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(skolemize,[status(sab)],[13448])).
% 12.52/12.69 tff(13450,plain,
% 12.52/12.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13449, 13442])).
% 12.52/12.69 tff(13451,plain,
% 12.52/12.69 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13452,plain,
% 12.52/12.69 (((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) <=> ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13453,plain,
% 12.52/12.69 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6))))),
% 12.52/12.69 inference(monotonicity,[status(thm)],[13452])).
% 12.52/12.69 tff(13454,plain,
% 12.52/12.69 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.52/12.69 inference(transitivity,[status(thm)],[13453, 13451])).
% 12.52/12.69 tff(13455,plain,
% 12.52/12.69 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13456,plain,
% 12.52/12.69 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5) | (~node87(c_s, s5, s6))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 12.52/12.69 tff(13457,plain,
% 12.52/12.69 ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_sd)) | node84(c_s, s5) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node83(c_s, s5)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13456, 13450, 13440])).
% 12.52/12.69 tff(13458,plain,
% 12.52/12.69 ($false),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13457, 13436, 13418, 13361, 13400, 13399])).
% 12.52/12.69 tff(13459,plain,(m_state_v_CVM(c_s, s4, c_down) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)), inference(lemma,lemma(discharge,[]))).
% 12.52/12.69 tff(13460,plain,
% 12.52/12.69 (m_state_v_CVM(c_s, s4, c_down)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13459, 13361])).
% 12.52/12.69 tff(13461,plain,
% 12.52/12.69 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_idle)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13462,plain,
% 12.52/12.69 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_idle)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13463,plain,
% 12.52/12.69 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_idle))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13462, 13461])).
% 12.52/12.69 tff(13464,plain,
% 12.52/12.69 (~m_state_v_CVM(c_s, s4, c_idle)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13463, 12809, 13460])).
% 12.52/12.69 tff(13465,plain,
% 12.52/12.69 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s4, c_idle) | (~node85(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s4, c_idle) | (~node85(c_s, s4)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13466,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s4, c_idle) | (~node85(c_s, s4)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13467,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s4, c_idle) | (~node85(c_s, s4))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 12.52/12.69 tff(13468,plain,
% 12.52/12.69 (~node85(c_s, s4)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13467, 12153, 13464])).
% 12.52/12.69 tff(13469,plain,
% 12.52/12.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13470,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13471,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 12.52/12.69 tff(13472,plain,
% 12.52/12.69 (~node84(c_s, s4)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13471, 13432, 12964])).
% 12.52/12.69 tff(13473,plain,
% 12.52/12.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13474,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13475,plain,
% 12.52/12.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4))),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13474, 13473])).
% 12.52/12.69 tff(13476,plain,
% 12.52/12.69 (~node83(c_s, s4)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13475, 13414, 12946])).
% 12.52/12.69 tff(13477,plain,
% 12.52/12.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13478,plain,
% 12.52/12.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))),
% 12.52/12.69 inference(quant_inst,[status(thm)],[])).
% 12.52/12.69 tff(13479,plain,
% 12.52/12.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5)),
% 12.52/12.69 inference(modus_ponens,[status(thm)],[13478, 13477])).
% 12.52/12.69 tff(13480,plain,
% 12.52/12.69 (node87(c_s, s4, s5)),
% 12.52/12.69 inference(unit_resolution,[status(thm)],[13479, 28, 12058, 4253])).
% 12.52/12.69 tff(13481,plain,
% 12.52/12.69 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13482,plain,
% 12.52/12.69 ((node83(c_s, s4) | node84(c_s, s4) | node85(c_s, s4) | node86(c_s, s4, s5) | (~node87(c_s, s4, s5))) <=> (node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5))),
% 12.52/12.69 inference(rewrite,[status(thm)],[])).
% 12.52/12.69 tff(13483,plain,
% 12.52/12.69 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s4) | node84(c_s, s4) | node85(c_s, s4) | node86(c_s, s4, s5) | (~node87(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5)))),
% 12.52/12.70 inference(monotonicity,[status(thm)],[13482])).
% 12.52/12.70 tff(13484,plain,
% 12.52/12.70 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s4) | node84(c_s, s4) | node85(c_s, s4) | node86(c_s, s4, s5) | (~node87(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5))),
% 12.52/12.70 inference(transitivity,[status(thm)],[13483, 13481])).
% 12.52/12.70 tff(13485,plain,
% 12.52/12.70 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s4) | node84(c_s, s4) | node85(c_s, s4) | node86(c_s, s4, s5) | (~node87(c_s, s4, s5)))),
% 12.52/12.70 inference(quant_inst,[status(thm)],[])).
% 12.52/12.70 tff(13486,plain,
% 12.52/12.70 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | (~node87(c_s, s4, s5)) | node86(c_s, s4, s5)),
% 12.52/12.70 inference(modus_ponens,[status(thm)],[13485, 13484])).
% 12.52/12.70 tff(13487,plain,
% 12.52/12.70 (node84(c_s, s4) | node83(c_s, s4) | node85(c_s, s4) | node86(c_s, s4, s5)),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13486, 12167, 13480])).
% 12.52/12.70 tff(13488,plain,
% 12.52/12.70 (node85(c_s, s4) | node86(c_s, s4, s5)),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13487, 13476, 13472])).
% 12.52/12.70 tff(13489,plain,
% 12.52/12.70 (node86(c_s, s4, s5)),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13488, 13468])).
% 12.52/12.70 tff(13490,plain,
% 12.52/12.70 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))),
% 12.52/12.70 inference(rewrite,[status(thm)],[])).
% 12.52/12.70 tff(13491,plain,
% 12.52/12.70 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))),
% 12.52/12.70 inference(quant_inst,[status(thm)],[])).
% 12.52/12.70 tff(13492,plain,
% 12.52/12.70 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3))),
% 12.52/12.70 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 12.52/12.70 tff(13493,plain,
% 12.52/12.70 (~node84(c_s, s3)),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13492, 13432, 12957])).
% 12.52/12.70 tff(13494,plain,
% 12.52/12.70 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))),
% 12.52/12.70 inference(rewrite,[status(thm)],[])).
% 12.52/12.70 tff(13495,plain,
% 12.52/12.70 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))),
% 12.52/12.70 inference(quant_inst,[status(thm)],[])).
% 12.52/12.70 tff(13496,plain,
% 12.52/12.70 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3))),
% 12.52/12.70 inference(modus_ponens,[status(thm)],[13495, 13494])).
% 12.52/12.70 tff(13497,plain,
% 12.52/12.70 (~node83(c_s, s3)),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13496, 13414, 12435])).
% 12.52/12.70 tff(13498,assumption,(~node87(c_s, s3, s4)), introduced(assumption)).
% 12.52/12.70 tff(13499,plain,
% 12.52/12.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))),
% 12.52/12.70 inference(rewrite,[status(thm)],[])).
% 12.52/12.70 tff(13500,plain,
% 12.52/12.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))),
% 12.52/12.70 inference(quant_inst,[status(thm)],[])).
% 12.52/12.70 tff(13501,plain,
% 12.52/12.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4)),
% 12.52/12.70 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 12.52/12.70 tff(13502,plain,
% 12.52/12.70 ($false),
% 12.52/12.70 inference(unit_resolution,[status(thm)],[13501, 28, 12058, 1179, 13498])).
% 12.52/12.70 tff(13503,plain,(node87(c_s, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 12.52/12.70 tff(13504,plain,
% 12.52/12.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4)))),
% 12.52/12.70 inference(rewrite,[status(thm)],[])).
% 12.52/12.70 tff(13505,plain,
% 12.52/12.70 (((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4)))),
% 12.52/12.70 inference(rewrite,[status(thm)],[])).
% 12.52/12.70 tff(13506,plain,
% 12.52/12.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4))))),
% 12.52/12.70 inference(monotonicity,[status(thm)],[13505])).
% 12.52/12.70 tff(13507,plain,
% 12.52/12.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4)))),
% 12.52/12.70 inference(transitivity,[status(thm)],[13506, 13504])).
% 12.52/12.70 tff(13508,plain,
% 12.52/12.70 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 12.54/12.70 inference(quant_inst,[status(thm)],[])).
% 12.54/12.70 tff(13509,plain,
% 12.54/12.70 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3) | (~node87(c_s, s3, s4))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 12.54/12.70 tff(13510,plain,
% 12.54/12.70 (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node84(c_s, s3) | node83(c_s, s3)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13509, 13450, 13503])).
% 12.54/12.70 tff(13511,plain,
% 12.54/12.70 (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s3, c_sd)) | node84(c_s, s3) | node83(c_s, s3)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13510, 12787])).
% 12.54/12.70 tff(13512,plain,
% 12.54/12.70 (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13511, 13497, 12998, 13493])).
% 12.54/12.70 tff(13513,plain,
% 12.54/12.70 (^[I0: $i, X: $i] : refl(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))))),
% 12.54/12.70 inference(bind,[status(th)],[])).
% 12.54/12.70 tff(13514,plain,
% 12.54/12.70 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(quant_intro,[status(thm)],[13513])).
% 12.54/12.70 tff(13515,plain,
% 12.54/12.70 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13516,axiom,(![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_67')).
% 12.54/12.70 tff(13517,plain,
% 12.54/12.70 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 12.54/12.70 tff(13518,plain,(
% 12.54/12.70 ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(skolemize,[status(sab)],[13517])).
% 12.54/12.70 tff(13519,plain,
% 12.54/12.70 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13518, 13514])).
% 12.54/12.70 tff(13520,plain,
% 12.54/12.70 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13521,plain,
% 12.54/12.70 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(quant_inst,[status(thm)],[])).
% 12.54/12.70 tff(13522,plain,
% 12.54/12.70 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 12.54/12.70 tff(13523,plain,
% 12.54/12.70 (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13522, 13519, 13512])).
% 12.54/12.70 tff(13524,plain,
% 12.54/12.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13525,plain,
% 12.54/12.70 (((~node86(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))) <=> (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13526,plain,
% 12.54/12.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5))))),
% 12.54/12.70 inference(monotonicity,[status(thm)],[13525])).
% 12.54/12.70 tff(13527,plain,
% 12.54/12.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5)))),
% 12.54/12.70 inference(transitivity,[status(thm)],[13526, 13524])).
% 12.54/12.70 tff(13528,plain,
% 12.54/12.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | ((~node86(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)))),
% 12.54/12.70 inference(quant_inst,[status(thm)],[])).
% 12.54/12.70 tff(13529,plain,
% 12.54/12.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | m_state_v_gripper_status(J0, X, V) | (~m_state_v_gripper_status(J0, Y, V)))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~node86(c_s, s4, s5))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 12.54/12.70 tff(13530,plain,
% 12.54/12.70 (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13529, 12215, 13523, 13489])).
% 12.54/12.70 tff(13531,plain,
% 12.54/12.70 (^[X: $i, J0: $i] : refl((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))))),
% 12.54/12.70 inference(bind,[status(th)],[])).
% 12.54/12.70 tff(13532,plain,
% 12.54/12.70 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 12.54/12.70 inference(quant_intro,[status(thm)],[13531])).
% 12.54/12.70 tff(13533,plain,
% 12.54/12.70 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13534,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_182')).
% 12.54/12.70 tff(13535,plain,
% 12.54/12.70 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 12.54/12.70 tff(13536,plain,(
% 12.54/12.70 ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 12.54/12.70 inference(skolemize,[status(sab)],[13535])).
% 12.54/12.70 tff(13537,plain,
% 12.54/12.70 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13536, 13532])).
% 12.54/12.70 tff(13538,plain,
% 12.54/12.70 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13539,plain,
% 12.54/12.70 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))),
% 12.54/12.70 inference(quant_inst,[status(thm)],[])).
% 12.54/12.70 tff(13540,plain,
% 12.54/12.70 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13539, 13538])).
% 12.54/12.70 tff(13541,plain,
% 12.54/12.70 (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5))),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13540, 13537])).
% 12.54/12.70 tff(13542,plain,
% 12.54/12.70 (~node80(c_s, s5)),
% 12.54/12.70 inference(unit_resolution,[status(thm)],[13541, 13530])).
% 12.54/12.70 tff(13543,plain,
% 12.54/12.70 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))))),
% 12.54/12.70 inference(bind,[status(th)],[])).
% 12.54/12.70 tff(13544,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(quant_intro,[status(thm)],[13543])).
% 12.54/12.70 tff(13545,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13546,plain,
% 12.54/12.70 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X))), (((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))), (((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))))), ((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))), ((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))))), (((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) <=> (((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | m_state_v_gvp(J0, Y, c_ovf)))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | m_state_v_gvp(J0, Y, c_ovf)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))), (((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))))), ((((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) | (~node82(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~node82(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~node82(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))), ((((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) | (~node82(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))))),
% 12.54/12.70 inference(bind,[status(th)],[])).
% 12.54/12.70 tff(13547,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(quant_intro,[status(thm)],[13546])).
% 12.54/12.70 tff(13548,axiom,(![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd))) | (~m_state_v_CVM(J0, X, c_down))) | m_state_v_gvp(J0, Y, c_ovf)) | (~node82(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_187')).
% 12.54/12.70 tff(13549,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 12.54/12.70 tff(13550,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13549, 13545])).
% 12.54/12.70 tff(13551,plain,(
% 12.54/12.70 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(skolemize,[status(sab)],[13550])).
% 12.54/12.70 tff(13552,plain,
% 12.54/12.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))),
% 12.54/12.70 inference(modus_ponens,[status(thm)],[13551, 13544])).
% 12.54/12.70 tff(13553,plain,
% 12.54/12.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13554,plain,
% 12.54/12.70 (((~m_state_v_gvp(c_s, s4, c_sd)) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> (m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5)))),
% 12.54/12.70 inference(rewrite,[status(thm)],[])).
% 12.54/12.70 tff(13555,plain,
% 12.54/12.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5))))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13554])).
% 12.54/12.71 tff(13556,plain,
% 12.54/12.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5)))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13555, 13553])).
% 12.54/12.71 tff(13557,plain,
% 12.54/12.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13558,plain,
% 12.54/12.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node82(c_s, s4, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13557, 13556])).
% 12.54/12.71 tff(13559,plain,
% 12.54/12.71 (m_state_v_gvp(c_s, s5, c_ovf) | node77(c_s, s4) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | (~m_state_v_CVM(c_s, s4, c_down))),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13558, 13552, 13383])).
% 12.54/12.71 tff(13560,plain,
% 12.54/12.71 (m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_CVM(c_s, s4, c_down))),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13559, 13379, 13512, 13009])).
% 12.54/12.71 tff(13561,plain,
% 12.54/12.71 (m_state_v_gvp(c_s, s5, c_ovf)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13560, 13460])).
% 12.54/12.71 tff(13562,plain,
% 12.54/12.71 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s5, c_ovb)) | (~m_state_v_gvp(c_s, s5, c_ovf)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~m_state_v_gvp(c_s, s5, c_ovf)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13563,plain,
% 12.54/12.71 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s5, c_ovb)) | (~m_state_v_gvp(c_s, s5, c_ovf)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13564,plain,
% 12.54/12.71 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~m_state_v_gvp(c_s, s5, c_ovf))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13563, 13562])).
% 12.54/12.71 tff(13565,plain,
% 12.54/12.71 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13564, 12267, 13561])).
% 12.54/12.71 tff(13566,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node77(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node77(c_s, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13567,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node77(c_s, s5)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13568,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node77(c_s, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 12.54/12.71 tff(13569,plain,
% 12.54/12.71 (~node77(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13568, 12385, 13565])).
% 12.54/12.71 tff(13570,plain,
% 12.54/12.71 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_gvp(c_s, s5, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_gvp(c_s, s5, c_sd)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13571,plain,
% 12.54/12.71 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_gvp(c_s, s5, c_sd)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13572,plain,
% 12.54/12.71 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_gvp(c_s, s5, c_sd))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13571, 13570])).
% 12.54/12.71 tff(13573,plain,
% 12.54/12.71 (~m_state_v_gvp(c_s, s5, c_sd)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13572, 12396, 13561])).
% 12.54/12.71 tff(13574,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node78(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node78(c_s, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13575,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node78(c_s, s5)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13576,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node78(c_s, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13575, 13574])).
% 12.54/12.71 tff(13577,plain,
% 12.54/12.71 (~node78(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13576, 12311, 13573])).
% 12.54/12.71 tff(13578,plain,
% 12.54/12.71 (^[X: $i, J0: $i] : refl(((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)))),
% 12.54/12.71 inference(bind,[status(th)],[])).
% 12.54/12.71 tff(13579,plain,
% 12.54/12.71 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(quant_intro,[status(thm)],[13578])).
% 12.54/12.71 tff(13580,plain,
% 12.54/12.71 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13581,plain,
% 12.54/12.71 (^[X: $i, J0: $i] : rewrite((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X))) <=> ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)))),
% 12.54/12.71 inference(bind,[status(th)],[])).
% 12.54/12.71 tff(13582,plain,
% 12.54/12.71 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(quant_intro,[status(thm)],[13581])).
% 12.54/12.71 tff(13583,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_179')).
% 12.54/12.71 tff(13584,plain,
% 12.54/12.71 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 12.54/12.71 tff(13585,plain,
% 12.54/12.71 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13584, 13580])).
% 12.54/12.71 tff(13586,plain,(
% 12.54/12.71 ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(skolemize,[status(sab)],[13585])).
% 12.54/12.71 tff(13587,plain,
% 12.54/12.71 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13586, 13579])).
% 12.54/12.71 tff(13588,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13589,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13590,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 12.54/12.71 tff(13591,plain,
% 12.54/12.71 (~node79(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13590, 13587, 13530])).
% 12.54/12.71 tff(13592,plain,
% 12.54/12.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13593,plain,
% 12.54/12.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13594,plain,
% 12.54/12.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6)),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 12.54/12.71 tff(13595,plain,
% 12.54/12.71 (node82(c_s, s5, s6)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13594, 28, 12044, 15])).
% 12.54/12.71 tff(13596,plain,
% 12.54/12.71 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13597,plain,
% 12.54/12.71 ((node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6))) <=> (node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13598,plain,
% 12.54/12.71 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6))))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13597])).
% 12.54/12.71 tff(13599,plain,
% 12.54/12.71 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13598, 13596])).
% 12.54/12.71 tff(13600,plain,
% 12.54/12.71 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13601,plain,
% 12.54/12.71 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13600, 13599])).
% 12.54/12.71 tff(13602,plain,
% 12.54/12.71 (node79(c_s, s5) | node80(c_s, s5) | node78(c_s, s5) | node77(c_s, s5) | node81(c_s, s5, s6)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13601, 12326, 13595])).
% 12.54/12.71 tff(13603,plain,
% 12.54/12.71 (node81(c_s, s5, s6)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13602, 13591, 13577, 13569, 13542])).
% 12.54/12.71 tff(13604,assumption,(~m_state_v_gvp(c_s, s6, c_sd)), introduced(assumption)).
% 12.54/12.71 tff(13605,assumption,(~m_state_v_CVM(c_s, s4, c_up)), introduced(assumption)).
% 12.54/12.71 tff(13606,plain,
% 12.54/12.71 (~node93(c_s, s4)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13357, 12798, 13605])).
% 12.54/12.71 tff(13607,plain,
% 12.54/12.71 (node98(c_s, s4, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13353, 13606, 12989, 12975, 12950, 12887])).
% 12.54/12.71 tff(13608,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13609,plain,
% 12.54/12.71 (((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up))) <=> ((~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13610,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5))))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13609])).
% 12.54/12.71 tff(13611,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13610, 13608])).
% 12.54/12.71 tff(13612,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13613,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s5, c_up)) | m_state_v_CVM(c_s, s4, c_up) | (~node98(c_s, s4, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 12.54/12.71 tff(13614,plain,
% 12.54/12.71 (~m_state_v_CVM(c_s, s5, c_up)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13613, 12838, 13605, 13607])).
% 12.54/12.71 tff(13615,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | ((~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13616,plain,
% 12.54/12.71 ((m_state_v_CVM(c_s, s5, c_up) | (~node80(c_s, s5))) <=> ((~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13617,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node80(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | ((~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up)))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13616])).
% 12.54/12.71 tff(13618,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node80(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13617, 13615])).
% 12.54/12.71 tff(13619,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node80(c_s, s5)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13620,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (~node80(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up)),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 12.54/12.71 tff(13621,plain,
% 12.54/12.71 (~node80(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13620, 12908, 13614])).
% 12.54/12.71 tff(13622,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node77(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node77(c_s, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13623,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node77(c_s, s5)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13624,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node77(c_s, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 12.54/12.71 tff(13625,plain,
% 12.54/12.71 (~node77(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13624, 12256, 13614])).
% 12.54/12.71 tff(13626,plain,
% 12.54/12.71 (node81(c_s, s4, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13390, 13365, 13379, 13374, 13369])).
% 12.54/12.71 tff(13627,assumption,(~node80(c_s, s5)), introduced(assumption)).
% 12.54/12.71 tff(13628,assumption,(m_state_v_CVM(c_s, s5, c_down)), introduced(assumption)).
% 12.54/12.71 tff(13629,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13630,plain,
% 12.54/12.71 (((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down))) <=> (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13631,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5))))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13630])).
% 12.54/12.71 tff(13632,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13631, 13629])).
% 12.54/12.71 tff(13633,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13634,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 12.54/12.71 tff(13635,plain,
% 12.54/12.71 ($false),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13634, 12838, 12991, 13628, 13040])).
% 12.54/12.71 tff(13636,plain,((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down))), inference(lemma,lemma(discharge,[]))).
% 12.54/12.71 tff(13637,plain,
% 12.54/12.71 (~m_state_v_CVM(c_s, s5, c_down)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13636, 12991, 13040])).
% 12.54/12.71 tff(13638,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | ((~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13639,plain,
% 12.54/12.71 ((m_state_v_CVM(c_s, s5, c_down) | (~node79(c_s, s5))) <=> ((~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13640,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node79(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | ((~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13639])).
% 12.54/12.71 tff(13641,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node79(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13640, 13638])).
% 12.54/12.71 tff(13642,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node79(c_s, s5)))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13643,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (~node79(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 12.54/12.71 tff(13644,plain,
% 12.54/12.71 (~node79(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13643, 12923, 13637])).
% 12.54/12.71 tff(13645,assumption,(~node77(c_s, s5)), introduced(assumption)).
% 12.54/12.71 tff(13646,plain,
% 12.54/12.71 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13647,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13648,plain,
% 12.54/12.71 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 12.54/12.71 tff(13649,plain,
% 12.54/12.71 (~node78(c_s, s5)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13648, 12897, 13637])).
% 12.54/12.71 tff(13650,plain,
% 12.54/12.71 (node81(c_s, s5, s6)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13602, 13649, 13645, 13644, 13627])).
% 12.54/12.71 tff(13651,assumption,(node81(c_s, s5, s6)), introduced(assumption)).
% 12.54/12.71 tff(13652,assumption,(m_state_v_gvp(c_s, s5, c_sd)), introduced(assumption)).
% 12.54/12.71 tff(13653,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13654,plain,
% 12.54/12.71 (((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd)) <=> (m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6)))),
% 12.54/12.71 inference(rewrite,[status(thm)],[])).
% 12.54/12.71 tff(13655,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6))))),
% 12.54/12.71 inference(monotonicity,[status(thm)],[13654])).
% 12.54/12.71 tff(13656,plain,
% 12.54/12.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6)))),
% 12.54/12.71 inference(transitivity,[status(thm)],[13655, 13653])).
% 12.54/12.71 tff(13657,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))),
% 12.54/12.71 inference(quant_inst,[status(thm)],[])).
% 12.54/12.71 tff(13658,plain,
% 12.54/12.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s6, c_sd) | (~m_state_v_gvp(c_s, s5, c_sd)) | (~node81(c_s, s5, s6))),
% 12.54/12.71 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 12.54/12.71 tff(13659,plain,
% 12.54/12.71 ($false),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13658, 12343, 13652, 13604, 13651])).
% 12.54/12.71 tff(13660,plain,((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.54/12.71 tff(13661,plain,
% 12.54/12.71 (~m_state_v_gvp(c_s, s5, c_sd)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13660, 13650, 13604])).
% 12.54/12.71 tff(13662,plain,
% 12.54/12.71 ($false),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13398, 12343, 13661, 13009, 13626])).
% 12.54/12.71 tff(13663,plain,(m_state_v_CVM(c_s, s4, c_down) | m_state_v_gvp(c_s, s6, c_sd) | node77(c_s, s5) | node80(c_s, s5) | (~node98(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 12.54/12.71 tff(13664,plain,
% 12.54/12.71 (m_state_v_CVM(c_s, s4, c_down)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13663, 13625, 13604, 13621, 13607])).
% 12.54/12.71 tff(13665,plain,
% 12.54/12.71 (m_state_v_gvp(c_s, s5, c_ovf)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13559, 13664, 13379, 13512, 13009])).
% 12.54/12.71 tff(13666,plain,
% 12.54/12.71 (~m_state_v_gvp(c_s, s5, c_sd)),
% 12.54/12.71 inference(unit_resolution,[status(thm)],[13572, 12396, 13665])).
% 12.54/12.71 tff(13667,plain,
% 12.54/12.71 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X))))),
% 12.54/12.71 inference(bind,[status(th)],[])).
% 12.54/12.71 tff(13668,plain,
% 12.54/12.71 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))),
% 12.54/12.71 inference(quant_intro,[status(thm)],[13667])).
% 12.54/12.71 tff(13669,plain,
% 12.54/12.71 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13670,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_197')).
% 12.56/12.72 tff(13671,plain,
% 12.56/12.72 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 12.56/12.72 tff(13672,plain,(
% 12.56/12.72 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))),
% 12.56/12.72 inference(skolemize,[status(sab)],[13671])).
% 12.56/12.72 tff(13673,plain,
% 12.56/12.72 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13672, 13668])).
% 12.56/12.72 tff(13674,plain,
% 12.56/12.72 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node85(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node85(c_s, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13675,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node85(c_s, s5)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13676,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node85(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node85(c_s, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 12.56/12.72 tff(13677,plain,
% 12.56/12.72 (~node85(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13676, 13673, 13666])).
% 12.56/12.72 tff(13678,plain,
% 12.56/12.72 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13564, 12267, 13665])).
% 12.56/12.72 tff(13679,plain,
% 12.56/12.72 (~node83(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13417, 13414, 13678])).
% 12.56/12.72 tff(13680,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13681,plain,
% 12.56/12.72 (((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_down)) | m_state_v_CVM(c_s, s5, c_down)) <=> (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13682,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_down)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5))))),
% 12.56/12.72 inference(monotonicity,[status(thm)],[13681])).
% 12.56/12.72 tff(13683,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_down)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5)))),
% 12.56/12.72 inference(transitivity,[status(thm)],[13682, 13680])).
% 12.56/12.72 tff(13684,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_down)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13685,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s4, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 12.56/12.72 tff(13686,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s5, c_down)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13685, 12688, 13664, 13607])).
% 12.56/12.72 tff(13687,plain,
% 12.56/12.72 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_down)) | (~m_state_v_CVM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s5, c_down)) | (~m_state_v_CVM(c_s, s5, c_idle)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13688,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_down)) | (~m_state_v_CVM(c_s, s5, c_idle)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13689,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s5, c_down)) | (~m_state_v_CVM(c_s, s5, c_idle))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13688, 13687])).
% 12.56/12.72 tff(13690,plain,
% 12.56/12.72 (~m_state_v_CVM(c_s, s5, c_idle)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13689, 12809, 13686])).
% 12.56/12.72 tff(13691,plain,
% 12.56/12.72 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s5, c_idle) | (~node84(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s5, c_idle) | (~node84(c_s, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13692,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s5, c_idle) | (~node84(c_s, s5)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13693,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s5, c_idle) | (~node84(c_s, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 12.56/12.72 tff(13694,plain,
% 12.56/12.72 (~node84(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13693, 12142, 13690])).
% 12.56/12.72 tff(13695,plain,
% 12.56/12.72 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13696,plain,
% 12.56/12.72 ((node83(c_s, s5) | node84(c_s, s5) | node85(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6))) <=> (node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13697,plain,
% 12.56/12.72 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s5) | node84(c_s, s5) | node85(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6))))),
% 12.56/12.72 inference(monotonicity,[status(thm)],[13696])).
% 12.56/12.72 tff(13698,plain,
% 12.56/12.72 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s5) | node84(c_s, s5) | node85(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))),
% 12.56/12.72 inference(transitivity,[status(thm)],[13697, 13695])).
% 12.56/12.72 tff(13699,plain,
% 12.56/12.72 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s5) | node84(c_s, s5) | node85(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13700,plain,
% 12.56/12.72 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6) | (~node87(c_s, s5, s6))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13699, 13698])).
% 12.56/12.72 tff(13701,plain,
% 12.56/12.72 (node85(c_s, s5) | node84(c_s, s5) | node83(c_s, s5) | node86(c_s, s5, s6)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13700, 12167, 13440])).
% 12.56/12.72 tff(13702,plain,
% 12.56/12.72 (node86(c_s, s5, s6)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13701, 13694, 13679, 13677])).
% 12.56/12.72 tff(13703,plain,
% 12.56/12.72 (~m_state_v_CVM(c_s, s4, c_idle)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13463, 12809, 13664])).
% 12.56/12.72 tff(13704,plain,
% 12.56/12.72 (~node85(c_s, s4)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13467, 12153, 13703])).
% 12.56/12.72 tff(13705,plain,
% 12.56/12.72 (node86(c_s, s4, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13487, 13704, 13476, 13472])).
% 12.56/12.72 tff(13706,plain,
% 12.56/12.72 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)) <=> ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)))),
% 12.56/12.72 inference(bind,[status(th)],[])).
% 12.56/12.72 tff(13707,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(quant_intro,[status(thm)],[13706])).
% 12.56/12.72 tff(13708,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13709,plain,
% 12.56/12.72 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_gripper_status(J0, Y, V) | (~m_state_v_gripper_status(J0, X, V))) <=> ((~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))), (((m_state_v_gripper_status(J0, Y, V) | (~m_state_v_gripper_status(J0, X, V))) | (~node86(J0, X, Y))) <=> (((~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)) | (~node86(J0, X, Y))))), rewrite((((~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V)) | (~node86(J0, X, Y))) <=> ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))), (((m_state_v_gripper_status(J0, Y, V) | (~m_state_v_gripper_status(J0, X, V))) | (~node86(J0, X, Y))) <=> ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))))),
% 12.56/12.72 inference(bind,[status(th)],[])).
% 12.56/12.72 tff(13710,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gripper_status(J0, Y, V) | (~m_state_v_gripper_status(J0, X, V))) | (~node86(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(quant_intro,[status(thm)],[13709])).
% 12.56/12.72 tff(13711,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gripper_status(J0, Y, V) | (~m_state_v_gripper_status(J0, X, V))) | (~node86(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_198')).
% 12.56/12.72 tff(13712,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13711, 13710])).
% 12.56/12.72 tff(13713,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13712, 13708])).
% 12.56/12.72 tff(13714,plain,(
% 12.56/12.72 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(skolemize,[status(sab)],[13713])).
% 12.56/12.72 tff(13715,plain,
% 12.56/12.72 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13714, 13707])).
% 12.56/12.72 tff(13716,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13717,plain,
% 12.56/12.72 (((~node86(c_s, s4, s5)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) <=> ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13718,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s4, s5)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5))))),
% 12.56/12.72 inference(monotonicity,[status(thm)],[13717])).
% 12.56/12.72 tff(13719,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s4, s5)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5)))),
% 12.56/12.72 inference(transitivity,[status(thm)],[13718, 13716])).
% 12.56/12.72 tff(13720,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s4, s5)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13721,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~node86(c_s, s4, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13720, 13719])).
% 12.56/12.72 tff(13722,plain,
% 12.56/12.72 (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13721, 13715, 13512, 13705])).
% 12.56/12.72 tff(13723,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13724,plain,
% 12.56/12.72 (((~node86(c_s, s5, s6)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13725,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s5, s6)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6))))),
% 12.56/12.72 inference(monotonicity,[status(thm)],[13724])).
% 12.56/12.72 tff(13726,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s5, s6)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6)))),
% 12.56/12.72 inference(transitivity,[status(thm)],[13725, 13723])).
% 12.56/12.72 tff(13727,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s5, s6)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13728,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) | (~node86(c_s, s5, s6))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 12.56/12.72 tff(13729,plain,
% 12.56/12.72 ($false),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13728, 13715, 13361, 13722, 13702])).
% 12.56/12.72 tff(13730,plain,(m_state_v_CVM(c_s, s4, c_up) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | m_state_v_gvp(c_s, s6, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.72 tff(13731,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s4, c_up)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13730, 13604, 13361])).
% 12.56/12.72 tff(13732,plain,
% 12.56/12.72 (~m_state_v_gvp(c_s, s5, c_ovf)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13424, 12428, 12964, 13626])).
% 12.56/12.72 tff(13733,plain,
% 12.56/12.72 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node80(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node80(c_s, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13734,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node80(c_s, s5)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13735,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node80(c_s, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 12.56/12.72 tff(13736,plain,
% 12.56/12.72 (~node80(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13735, 12289, 13732])).
% 12.56/12.72 tff(13737,plain,
% 12.56/12.72 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13406, 12428, 12946, 13626])).
% 12.56/12.72 tff(13738,plain,
% 12.56/12.72 (~node77(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13568, 12385, 13737])).
% 12.56/12.72 tff(13739,plain,
% 12.56/12.72 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node79(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node79(c_s, s5)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13740,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node79(c_s, s5)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13741,plain,
% 12.56/12.72 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node79(c_s, s5))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 12.56/12.72 tff(13742,plain,
% 12.56/12.72 (m_state_v_gvp(c_s, s5, c_ovf) | (~node79(c_s, s5))),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13741, 12278])).
% 12.56/12.72 tff(13743,plain,
% 12.56/12.72 (~node79(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13742, 13732])).
% 12.56/12.72 tff(13744,plain,
% 12.56/12.72 (m_state_v_gvp(c_s, s5, c_sd)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13398, 12343, 13009, 13626])).
% 12.56/12.72 tff(13745,plain,
% 12.56/12.72 (~node81(c_s, s5, s6)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13660, 13604, 13744])).
% 12.56/12.72 tff(13746,plain,
% 12.56/12.72 (node78(c_s, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13602, 13745, 13743, 13738, 13736])).
% 12.56/12.72 tff(13747,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s5, c_down)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13648, 12897, 13746])).
% 12.56/12.72 tff(13748,plain,
% 12.56/12.72 (~node98(c_s, s4, s5)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13663, 13604, 13736, 12991, 13738])).
% 12.56/12.72 tff(13749,plain,
% 12.56/12.72 (node93(c_s, s4)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13353, 13748, 12989, 12975, 12950, 12887])).
% 12.56/12.72 tff(13750,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s4, c_up)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13357, 12798, 13749])).
% 12.56/12.72 tff(13751,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s5, c_idle)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13020, 13750, 13009, 12950])).
% 12.56/12.72 tff(13752,plain,
% 12.56/12.72 ($false),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13689, 12809, 13751, 13747])).
% 12.56/12.72 tff(13753,plain,(m_state_v_gvp(c_s, s6, c_sd) | m_state_v_CVM(c_s, s4, c_down)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.72 tff(13754,plain,
% 12.56/12.72 (m_state_v_CVM(c_s, s4, c_down)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13753, 13604])).
% 12.56/12.72 tff(13755,plain,
% 12.56/12.72 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13756,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13757,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s4, c_down)) | (~m_state_v_CVM(c_s, s4, c_up))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 12.56/12.72 tff(13758,plain,
% 12.56/12.72 ($false),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13757, 12612, 13754, 13731])).
% 12.56/12.72 tff(13759,plain,(m_state_v_gvp(c_s, s6, c_sd) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.72 tff(13760,plain,
% 12.56/12.72 (m_state_v_gvp(c_s, s6, c_sd)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13759, 13361])).
% 12.56/12.72 tff(13761,plain,
% 12.56/12.72 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s6, c_ovf)) | (~m_state_v_gvp(c_s, s6, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~m_state_v_gvp(c_s, s6, c_sd)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13762,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s6, c_ovf)) | (~m_state_v_gvp(c_s, s6, c_sd)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13763,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~m_state_v_gvp(c_s, s6, c_sd))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 12.56/12.72 tff(13764,plain,
% 12.56/12.72 (~m_state_v_gvp(c_s, s6, c_ovf)),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13763, 12396, 13760])).
% 12.56/12.72 tff(13765,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13766,plain,
% 12.56/12.72 (((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf)) <=> ((~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13767,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6))))),
% 12.56/12.72 inference(monotonicity,[status(thm)],[13766])).
% 12.56/12.72 tff(13768,plain,
% 12.56/12.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6)))),
% 12.56/12.72 inference(transitivity,[status(thm)],[13767, 13765])).
% 12.56/12.72 tff(13769,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13770,plain,
% 12.56/12.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s5, s6))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 12.56/12.72 tff(13771,plain,
% 12.56/12.72 ($false),
% 12.56/12.72 inference(unit_resolution,[status(thm)],[13770, 12343, 13561, 13764, 13603])).
% 12.56/12.72 tff(13772,plain,(m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.72 tff(13773,plain,
% 12.56/12.72 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 12.56/12.72 inference(rewrite,[status(thm)],[])).
% 12.56/12.72 tff(13774,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 12.56/12.72 inference(quant_inst,[status(thm)],[])).
% 12.56/12.72 tff(13775,plain,
% 12.56/12.72 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 12.56/12.72 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 12.56/12.73 tff(13776,plain,
% 12.56/12.73 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13775, 12201, 13772])).
% 12.56/12.73 tff(13777,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13778,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13779,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 12.56/12.73 tff(13780,plain,
% 12.56/12.73 ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13779, 12190, 13440])).
% 12.56/12.73 tff(13781,plain,
% 12.56/12.73 ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_gvp(c_s, s5, c_ovb))),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13780, 13776])).
% 12.56/12.73 tff(13782,plain,
% 12.56/12.73 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13781, 13360])).
% 12.56/12.73 tff(13783,plain,
% 12.56/12.73 (~node83(c_s, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13417, 13414, 13782])).
% 12.56/12.73 tff(13784,plain,
% 12.56/12.73 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13785,plain,
% 12.56/12.73 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13786,plain,
% 12.56/12.73 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 12.56/12.73 tff(13787,plain,
% 12.56/12.73 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13786, 13519, 13772])).
% 12.56/12.73 tff(13788,plain,
% 12.56/12.73 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)))),
% 12.56/12.73 inference(bind,[status(th)],[])).
% 12.56/12.73 tff(13789,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(quant_intro,[status(thm)],[13788])).
% 12.56/12.73 tff(13790,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13791,plain,
% 12.56/12.73 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X))), (((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X)) | (~m_state_v_gvp(J0, X, c_ovf))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X)) | (~m_state_v_gvp(J0, X, c_ovf))) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X))), (((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X)))), ((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> (((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)))), rewrite((((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))), ((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)))), (((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))), (((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))))),
% 12.56/12.73 inference(bind,[status(th)],[])).
% 12.56/12.73 tff(13792,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(quant_intro,[status(thm)],[13791])).
% 12.56/12.73 tff(13793,axiom,(![Y: $i, X: $i, J0: $i] : ((((node83(J0, X) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_ovf))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_201')).
% 12.56/12.73 tff(13794,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 12.56/12.73 tff(13795,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13794, 13790])).
% 12.56/12.73 tff(13796,plain,(
% 12.56/12.73 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(skolemize,[status(sab)],[13795])).
% 12.56/12.73 tff(13797,plain,
% 12.56/12.73 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13796, 13789])).
% 12.56/12.73 tff(13798,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13799,plain,
% 12.56/12.73 (((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) <=> ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13800,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6))))),
% 12.56/12.73 inference(monotonicity,[status(thm)],[13799])).
% 12.56/12.73 tff(13801,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6)))),
% 12.56/12.73 inference(transitivity,[status(thm)],[13800, 13798])).
% 12.56/12.73 tff(13802,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13803,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_ovf)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovf))) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5) | (~node87(c_s, s5, s6))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 12.56/12.73 tff(13804,plain,
% 12.56/12.73 ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | node83(c_s, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13803, 13797, 13440])).
% 12.56/12.73 tff(13805,plain,
% 12.56/12.73 ((~m_state_v_gvp(c_s, s5, c_ovf)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13804, 13787])).
% 12.56/12.73 tff(13806,plain,
% 12.56/12.73 (~m_state_v_gvp(c_s, s5, c_ovf)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13805, 13783, 13360])).
% 12.56/12.73 tff(13807,plain,
% 12.56/12.73 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s5)) | m_state_v_gvp(c_s, s5, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s5)) | m_state_v_gvp(c_s, s5, c_ovf))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13808,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s5)) | m_state_v_gvp(c_s, s5, c_ovf))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13809,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s5)) | m_state_v_gvp(c_s, s5, c_ovf)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 12.56/12.73 tff(13810,plain,
% 12.56/12.73 ((~node14(c_s, s5)) | m_state_v_gvp(c_s, s5, c_ovf)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13809, 13271])).
% 12.56/12.73 tff(13811,plain,
% 12.56/12.73 (~node14(c_s, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13810, 13806])).
% 12.56/12.73 tff(13812,assumption,(~node16(c_s, s5, s6)), introduced(assumption)).
% 12.56/12.73 tff(13813,plain,
% 12.56/12.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13814,plain,
% 12.56/12.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13815,plain,
% 12.56/12.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 12.56/12.73 tff(13816,plain,
% 12.56/12.73 ($false),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13815, 2055, 13071, 15, 13812])).
% 12.56/12.73 tff(13817,plain,(node16(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.73 tff(13818,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13819,plain,
% 12.56/12.73 ((node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6))) <=> (node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13820,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6))))),
% 12.56/12.73 inference(monotonicity,[status(thm)],[13819])).
% 12.56/12.73 tff(13821,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))),
% 12.56/12.73 inference(transitivity,[status(thm)],[13820, 13818])).
% 12.56/12.73 tff(13822,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13823,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13822, 13821])).
% 12.56/12.73 tff(13824,plain,
% 12.56/12.73 (node14(c_s, s5) | node13(c_s, s5) | node15(c_s, s5, s6)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13823, 13106, 13817])).
% 12.56/12.73 tff(13825,plain,
% 12.56/12.73 (node13(c_s, s5) | node15(c_s, s5, s6)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13824, 13811])).
% 12.56/12.73 tff(13826,plain,
% 12.56/12.73 (node15(c_s, s5, s6)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13825, 12017])).
% 12.56/12.73 tff(13827,plain,
% 12.56/12.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13828,plain,
% 12.56/12.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13829,plain,
% 12.56/12.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 12.56/12.73 tff(13830,plain,
% 12.56/12.73 (node16(c_s, s4, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13829, 2055, 13071, 4253])).
% 12.56/12.73 tff(13831,plain,
% 12.56/12.73 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s4)) | m_state_v_gvp(c_s, s4, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s4)) | m_state_v_gvp(c_s, s4, c_ovf))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13832,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s4)) | m_state_v_gvp(c_s, s4, c_ovf))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13833,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s4)) | m_state_v_gvp(c_s, s4, c_ovf)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 12.56/12.73 tff(13834,plain,
% 12.56/12.73 (~node14(c_s, s4)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13833, 13271, 12964])).
% 12.56/12.73 tff(13835,plain,
% 12.56/12.73 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13836,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13837,plain,
% 12.56/12.73 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 12.56/12.73 tff(13838,plain,
% 12.56/12.73 (~node13(c_s, s4)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13837, 12013, 6743])).
% 12.56/12.73 tff(13839,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13840,plain,
% 12.56/12.73 ((node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5))) <=> (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13841,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5)))),
% 12.56/12.73 inference(monotonicity,[status(thm)],[13840])).
% 12.56/12.73 tff(13842,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 12.56/12.73 inference(transitivity,[status(thm)],[13841, 13839])).
% 12.56/12.73 tff(13843,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13844,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5)),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13843, 13842])).
% 12.56/12.73 tff(13845,plain,
% 12.56/12.73 (node15(c_s, s4, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13844, 13106, 13838, 13834, 13830])).
% 12.56/12.73 tff(13846,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13847,plain,
% 12.56/12.73 (((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5))) <=> (m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13848,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5))))),
% 12.56/12.73 inference(monotonicity,[status(thm)],[13847])).
% 12.56/12.73 tff(13849,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5)))),
% 12.56/12.73 inference(transitivity,[status(thm)],[13848, 13846])).
% 12.56/12.73 tff(13850,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13851,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~node15(c_s, s4, s5)) | (~m_state_v_ff(c_s, s5))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13850, 13849])).
% 12.56/12.73 tff(13852,plain,
% 12.56/12.73 (~m_state_v_ff(c_s, s5)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13851, 13123, 13334, 13845])).
% 12.56/12.73 tff(13853,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13854,plain,
% 12.56/12.73 (((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6))) <=> (m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6)))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13855,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6))))),
% 12.56/12.73 inference(monotonicity,[status(thm)],[13854])).
% 12.56/12.73 tff(13856,plain,
% 12.56/12.73 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6)))),
% 12.56/12.73 inference(transitivity,[status(thm)],[13855, 13853])).
% 12.56/12.73 tff(13857,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))),
% 12.56/12.73 inference(quant_inst,[status(thm)],[])).
% 12.56/12.73 tff(13858,plain,
% 12.56/12.73 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6))),
% 12.56/12.73 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 12.56/12.73 tff(13859,plain,
% 12.56/12.73 (m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6))),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13858, 13123])).
% 12.56/12.73 tff(13860,plain,
% 12.56/12.73 ((~m_state_v_ff(c_s, s6)) | (~node15(c_s, s5, s6))),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13859, 13852])).
% 12.56/12.73 tff(13861,plain,
% 12.56/12.73 (~m_state_v_ff(c_s, s6)),
% 12.56/12.73 inference(unit_resolution,[status(thm)],[13860, 13826])).
% 12.56/12.73 tff(13862,plain,
% 12.56/12.73 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s6)) | m_state_v_ff(c_s, s6))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_ff(c_s, s6))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13863,plain,
% 12.56/12.73 ((m_state_v_ff(c_s, s6) | (~node94(c_s, s6))) <=> ((~node94(c_s, s6)) | m_state_v_ff(c_s, s6))),
% 12.56/12.73 inference(rewrite,[status(thm)],[])).
% 12.56/12.73 tff(13864,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s6)) | m_state_v_ff(c_s, s6)))),
% 12.56/12.74 inference(monotonicity,[status(thm)],[13863])).
% 12.56/12.74 tff(13865,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_ff(c_s, s6))),
% 12.56/12.74 inference(transitivity,[status(thm)],[13864, 13862])).
% 12.56/12.74 tff(13866,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13867,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_ff(c_s, s6)),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 12.56/12.74 tff(13868,plain,
% 12.56/12.74 (~node94(c_s, s6)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13867, 13341, 13861])).
% 12.56/12.74 tff(13869,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13870,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13871,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s5) | (~node94(c_s, s5))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13870, 13869])).
% 12.56/12.74 tff(13872,plain,
% 12.56/12.74 (~node94(c_s, s5)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13871, 13341, 13852])).
% 12.56/12.74 tff(13873,plain,
% 12.56/12.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13874,plain,
% 12.56/12.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13875,plain,
% 12.56/12.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2)),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13874, 13873])).
% 12.56/12.74 tff(13876,plain,
% 12.56/12.74 (node105(c_s, s1, s2)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13875, 12030, 12456, 226])).
% 12.56/12.74 tff(13877,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13878,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13879,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13878, 13877])).
% 12.56/12.74 tff(13880,plain,
% 12.56/12.74 (~node103(c_s, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13879, 12489, 12569])).
% 12.56/12.74 tff(13881,plain,
% 12.56/12.74 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13882,plain,
% 12.56/12.74 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13883,plain,
% 12.56/12.74 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 12.56/12.74 tff(13884,plain,
% 12.56/12.74 (~m_state_v_CHM(c_s, s0, c_tofeedbelt)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13883, 12742, 12471])).
% 12.56/12.74 tff(13885,plain,
% 12.56/12.74 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13886,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13885])).
% 12.56/12.74 tff(13887,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13888,plain,
% 12.56/12.74 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13889,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13888])).
% 12.56/12.74 tff(13890,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_171')).
% 12.56/12.74 tff(13891,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13890, 13889])).
% 12.56/12.74 tff(13892,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13891, 13887])).
% 12.56/12.74 tff(13893,plain,(
% 12.56/12.74 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(skolemize,[status(sab)],[13892])).
% 12.56/12.74 tff(13894,plain,
% 12.56/12.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13893, 13886])).
% 12.56/12.74 tff(13895,plain,
% 12.56/12.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13896,plain,
% 12.56/12.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13897,plain,
% 12.56/12.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1)),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 12.56/12.74 tff(13898,plain,
% 12.56/12.74 (node76(c_s, s0, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13897, 28, 13894, 39])).
% 12.56/12.74 tff(13899,plain,
% 12.56/12.74 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13900,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13899])).
% 12.56/12.74 tff(13901,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13902,plain,
% 12.56/12.74 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node75(J0, X, Y)))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node75(J0, X, Y)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y))), (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)))), ((((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)) | (~node76(J0, X, Y))))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))), ((((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13903,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13902])).
% 12.56/12.74 tff(13904,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_170')).
% 12.56/12.74 tff(13905,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 12.56/12.74 tff(13906,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13905, 13901])).
% 12.56/12.74 tff(13907,plain,(
% 12.56/12.74 ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(skolemize,[status(sab)],[13906])).
% 12.56/12.74 tff(13908,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13907, 13900])).
% 12.56/12.74 tff(13909,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13910,plain,
% 12.56/12.74 ((m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1))) <=> (m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13911,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1))))),
% 12.56/12.74 inference(monotonicity,[status(thm)],[13910])).
% 12.56/12.74 tff(13912,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 12.56/12.74 inference(transitivity,[status(thm)],[13911, 13909])).
% 12.56/12.74 tff(13913,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13914,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13913, 13912])).
% 12.56/12.74 tff(13915,plain,
% 12.56/12.74 (m_state_v_CHM(c_s, s0, c_tofeedbelt) | m_state_v_CHM(c_s, s0, c_todepbelt) | node75(c_s, s0, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13914, 13908, 13898])).
% 12.56/12.74 tff(13916,plain,
% 12.56/12.74 (node75(c_s, s0, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13915, 13884, 12482])).
% 12.56/12.74 tff(13917,plain,
% 12.56/12.74 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13918,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13917])).
% 12.56/12.74 tff(13919,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13920,plain,
% 12.56/12.74 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y))) <=> (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13921,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13920])).
% 12.56/12.74 tff(13922,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_167')).
% 12.56/12.74 tff(13923,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 12.56/12.74 tff(13924,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13923, 13919])).
% 12.56/12.74 tff(13925,plain,(
% 12.56/12.74 ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(skolemize,[status(sab)],[13924])).
% 12.56/12.74 tff(13926,plain,
% 12.56/12.74 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13925, 13918])).
% 12.56/12.74 tff(13927,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13928,plain,
% 12.56/12.74 ((m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1))) <=> (m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13929,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1))))),
% 12.56/12.74 inference(monotonicity,[status(thm)],[13928])).
% 12.56/12.74 tff(13930,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1)))),
% 12.56/12.74 inference(transitivity,[status(thm)],[13929, 13927])).
% 12.56/12.74 tff(13931,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13932,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s0) | (~m_state_v_gof(c_s, s1)) | (~node75(c_s, s0, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 12.56/12.74 tff(13933,plain,
% 12.56/12.74 (~m_state_v_gof(c_s, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13932, 13926, 12513, 13916])).
% 12.56/12.74 tff(13934,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s1) | (~node101(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s1) | (~node101(c_s, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13935,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s1) | (~node101(c_s, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13936,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s1) | (~node101(c_s, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 12.56/12.74 tff(13937,plain,
% 12.56/12.74 (~node101(c_s, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13936, 12520, 13933])).
% 12.56/12.74 tff(13938,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13939,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13940,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 12.56/12.74 tff(13941,plain,
% 12.56/12.74 (~node100(c_s, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13940, 12500, 12591])).
% 12.56/12.74 tff(13942,plain,
% 12.56/12.74 (^[X: $i, J0: $i] : refl((m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))))),
% 12.56/12.74 inference(bind,[status(th)],[])).
% 12.56/12.74 tff(13943,plain,
% 12.56/12.74 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 12.56/12.74 inference(quant_intro,[status(thm)],[13942])).
% 12.56/12.74 tff(13944,plain,
% 12.56/12.74 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13945,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_53')).
% 12.56/12.74 tff(13946,plain,
% 12.56/12.74 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 12.56/12.74 tff(13947,plain,(
% 12.56/12.74 ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 12.56/12.74 inference(skolemize,[status(sab)],[13946])).
% 12.56/12.74 tff(13948,plain,
% 12.56/12.74 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13947, 13943])).
% 12.56/12.74 tff(13949,plain,
% 12.56/12.74 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node102(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s1, c_off) | (~node102(c_s, s1)))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13950,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node102(c_s, s1)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13951,plain,
% 12.56/12.74 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s1, c_off) | (~node102(c_s, s1))),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13950, 13949])).
% 12.56/12.74 tff(13952,plain,
% 12.56/12.74 (~node102(c_s, s1)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13951, 13948, 13218])).
% 12.56/12.74 tff(13953,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13954,plain,
% 12.56/12.74 ((node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2))) <=> (node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2))),
% 12.56/12.74 inference(rewrite,[status(thm)],[])).
% 12.56/12.74 tff(13955,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2)))),
% 12.56/12.74 inference(monotonicity,[status(thm)],[13954])).
% 12.56/12.74 tff(13956,plain,
% 12.56/12.74 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2))),
% 12.56/12.74 inference(transitivity,[status(thm)],[13955, 13953])).
% 12.56/12.74 tff(13957,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))),
% 12.56/12.74 inference(quant_inst,[status(thm)],[])).
% 12.56/12.74 tff(13958,plain,
% 12.56/12.74 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node101(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2)),
% 12.56/12.74 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 12.56/12.74 tff(13959,plain,
% 12.56/12.74 (node104(c_s, s1, s2)),
% 12.56/12.74 inference(unit_resolution,[status(thm)],[13958, 12545, 13952, 13941, 13937, 13880, 13876])).
% 12.56/12.74 tff(13960,plain,
% 12.56/12.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13961,plain,
% 12.56/12.75 (((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13962,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[13961])).
% 12.56/12.75 tff(13963,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[13962, 13960])).
% 12.56/12.75 tff(13964,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13965,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13964, 13963])).
% 12.56/12.75 tff(13966,plain,
% 12.56/12.75 (~m_state_v_CHM(c_s, s1, c_tofeedbelt)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13965, 12562, 13884, 12552])).
% 12.56/12.75 tff(13967,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13968,plain,
% 12.56/12.75 (((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13969,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[13968])).
% 12.56/12.75 tff(13970,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[13969, 13967])).
% 12.56/12.75 tff(13971,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13972,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node104(c_s, s1, s2)) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13971, 13970])).
% 12.56/12.75 tff(13973,plain,
% 12.56/12.75 (~m_state_v_CHM(c_s, s2, c_tofeedbelt)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13972, 12562, 13966, 13959])).
% 12.56/12.75 tff(13974,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13975,plain,
% 12.56/12.75 (((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt))) <=> ((~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13976,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[13975])).
% 12.56/12.75 tff(13977,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[13976, 13974])).
% 12.56/12.75 tff(13978,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13979,plain,
% 12.56/12.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node104(c_s, s1, s2))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13978, 13977])).
% 12.56/12.75 tff(13980,plain,
% 12.56/12.75 (~m_state_v_CHM(c_s, s2, c_todepbelt)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13979, 12562, 12569, 13959])).
% 12.56/12.75 tff(13981,plain,
% 12.56/12.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13982,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13983,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3)),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 12.56/12.75 tff(13984,plain,
% 12.56/12.75 (node76(c_s, s2, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13983, 28, 13894, 794])).
% 12.56/12.75 tff(13985,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13986,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13987,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 12.56/12.75 tff(13988,plain,
% 12.56/12.75 (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13987, 13908, 13984])).
% 12.56/12.75 tff(13989,plain,
% 12.56/12.75 (node75(c_s, s2, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13988, 13980, 13973])).
% 12.56/12.75 tff(13990,plain,
% 12.56/12.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13991,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13992,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2)),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 12.56/12.75 tff(13993,plain,
% 12.56/12.75 (node76(c_s, s1, s2)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13992, 28, 13894, 226])).
% 12.56/12.75 tff(13994,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13995,plain,
% 12.56/12.75 ((m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))) <=> (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(13996,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[13995])).
% 12.56/12.75 tff(13997,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[13996, 13994])).
% 12.56/12.75 tff(13998,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(13999,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 12.56/12.75 tff(14000,plain,
% 12.56/12.75 (node75(c_s, s1, s2)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[13999, 13908, 13966, 12569, 13993])).
% 12.56/12.75 tff(14001,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14002,plain,
% 12.56/12.75 ((m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2))) <=> (m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14003,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[14002])).
% 12.56/12.75 tff(14004,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[14003, 14001])).
% 12.56/12.75 tff(14005,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14006,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s1) | (~m_state_v_gof(c_s, s2)) | (~node75(c_s, s1, s2))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 12.56/12.75 tff(14007,plain,
% 12.56/12.75 (~m_state_v_gof(c_s, s2)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14006, 13926, 13933, 14000])).
% 12.56/12.75 tff(14008,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14009,plain,
% 12.56/12.75 ((m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3))) <=> ((~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14010,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3))))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[14009])).
% 12.56/12.75 tff(14011,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)))),
% 12.56/12.75 inference(transitivity,[status(thm)],[14010, 14008])).
% 12.56/12.75 tff(14012,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14013,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s3)) | m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 12.56/12.75 tff(14014,plain,
% 12.56/12.75 (~m_state_v_gof(c_s, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14013, 13926, 14007, 13989])).
% 12.56/12.75 tff(14015,plain,
% 12.56/12.75 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14016,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14017,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s3) | (~node101(c_s, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 12.56/12.75 tff(14018,plain,
% 12.56/12.75 (~node101(c_s, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14017, 12520, 14014])).
% 12.56/12.75 tff(14019,plain,
% 12.56/12.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14020,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14021,plain,
% 12.56/12.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4)),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 12.56/12.75 tff(14022,plain,
% 12.56/12.75 (node105(c_s, s3, s4)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14021, 12030, 12456, 1179])).
% 12.56/12.75 tff(14023,plain,
% 12.56/12.75 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14024,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14025,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 12.56/12.75 tff(14026,plain,
% 12.56/12.75 (~node103(c_s, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14025, 12489, 12731])).
% 12.56/12.75 tff(14027,plain,
% 12.56/12.75 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X))) <=> (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X))))),
% 12.56/12.75 inference(bind,[status(th)],[])).
% 12.56/12.75 tff(14028,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))),
% 12.56/12.75 inference(quant_intro,[status(thm)],[14027])).
% 12.56/12.75 tff(14029,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14030,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_52')).
% 12.56/12.75 tff(14031,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14030, 14029])).
% 12.56/12.75 tff(14032,plain,(
% 12.56/12.75 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))),
% 12.56/12.75 inference(skolemize,[status(sab)],[14031])).
% 12.56/12.75 tff(14033,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14032, 14028])).
% 12.56/12.75 tff(14034,plain,
% 12.56/12.75 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node102(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node102(c_s, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14035,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node102(c_s, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14036,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node102(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node102(c_s, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14035, 14034])).
% 12.56/12.75 tff(14037,plain,
% 12.56/12.75 (~node102(c_s, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14036, 14033, 12749])).
% 12.56/12.75 tff(14038,plain,
% 12.56/12.75 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))))),
% 12.56/12.75 inference(bind,[status(th)],[])).
% 12.56/12.75 tff(14039,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 12.56/12.75 inference(quant_intro,[status(thm)],[14038])).
% 12.56/12.75 tff(14040,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14041,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_45')).
% 12.56/12.75 tff(14042,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 12.56/12.75 tff(14043,plain,(
% 12.56/12.75 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 12.56/12.75 inference(skolemize,[status(sab)],[14042])).
% 12.56/12.75 tff(14044,plain,
% 12.56/12.75 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14043, 14039])).
% 12.56/12.75 tff(14045,plain,
% 12.56/12.75 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14046,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14047,plain,
% 12.56/12.75 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3))),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14046, 14045])).
% 12.56/12.75 tff(14048,plain,
% 12.56/12.75 (~node100(c_s, s3)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14047, 14044, 12791])).
% 12.56/12.75 tff(14049,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14050,plain,
% 12.56/12.75 ((node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4))) <=> (node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4))),
% 12.56/12.75 inference(rewrite,[status(thm)],[])).
% 12.56/12.75 tff(14051,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4)))),
% 12.56/12.75 inference(monotonicity,[status(thm)],[14050])).
% 12.56/12.75 tff(14052,plain,
% 12.56/12.75 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4))),
% 12.56/12.75 inference(transitivity,[status(thm)],[14051, 14049])).
% 12.56/12.75 tff(14053,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))),
% 12.56/12.75 inference(quant_inst,[status(thm)],[])).
% 12.56/12.75 tff(14054,plain,
% 12.56/12.75 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s3) | node102(c_s, s3) | node100(c_s, s3) | node101(c_s, s3) | (~node105(c_s, s3, s4)) | node104(c_s, s3, s4)),
% 12.56/12.75 inference(modus_ponens,[status(thm)],[14053, 14052])).
% 12.56/12.75 tff(14055,plain,
% 12.56/12.75 (node101(c_s, s3) | node104(c_s, s3, s4)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14054, 12545, 14048, 14037, 14026, 14022])).
% 12.56/12.75 tff(14056,plain,
% 12.56/12.75 (node104(c_s, s3, s4)),
% 12.56/12.75 inference(unit_resolution,[status(thm)],[14055, 14018])).
% 12.56/12.75 tff(14057,plain,
% 12.56/12.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14058,plain,
% 12.56/12.76 (((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt))) <=> (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14059,plain,
% 12.56/12.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4))))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14058])).
% 12.56/12.76 tff(14060,plain,
% 12.56/12.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14059, 14057])).
% 12.56/12.76 tff(14061,plain,
% 12.56/12.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14062,plain,
% 12.56/12.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 12.56/12.76 tff(14063,plain,
% 12.56/12.76 (~m_state_v_CHM(c_s, s4, c_todepbelt)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14062, 12562, 12731, 14056])).
% 12.56/12.76 tff(14064,plain,
% 12.56/12.76 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)))),
% 12.56/12.76 inference(bind,[status(th)],[])).
% 12.56/12.76 tff(14065,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(quant_intro,[status(thm)],[14064])).
% 12.56/12.76 tff(14066,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14067,plain,
% 12.56/12.76 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) <=> ((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))), (((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> (((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) | (~node104(J0, X, Y))))), rewrite((((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))), (((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))))),
% 12.56/12.76 inference(bind,[status(th)],[])).
% 12.56/12.76 tff(14068,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(quant_intro,[status(thm)],[14067])).
% 12.56/12.76 tff(14069,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_56')).
% 12.56/12.76 tff(14070,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 12.56/12.76 tff(14071,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14070, 14066])).
% 12.56/12.76 tff(14072,plain,(
% 12.56/12.76 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(skolemize,[status(sab)],[14071])).
% 12.56/12.76 tff(14073,plain,
% 12.56/12.76 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14072, 14065])).
% 12.56/12.76 tff(14074,plain,
% 12.56/12.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14075,plain,
% 12.56/12.76 (((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt)) <=> ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14076,plain,
% 12.56/12.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4))))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14075])).
% 12.56/12.76 tff(14077,plain,
% 12.56/12.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4)))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14076, 14074])).
% 12.56/12.76 tff(14078,plain,
% 12.56/12.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14079,plain,
% 12.56/12.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s3, s4))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 12.56/12.76 tff(14080,plain,
% 12.56/12.76 (m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14079, 14073, 12717, 14056])).
% 12.56/12.76 tff(14081,plain,
% 12.56/12.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14082,plain,
% 12.56/12.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14083,plain,
% 12.56/12.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5)),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 12.56/12.76 tff(14084,plain,
% 12.56/12.76 (node74(c_s, s4, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14083, 28, 12855, 4253])).
% 12.56/12.76 tff(14085,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14086,plain,
% 12.56/12.76 (((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14087,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14086])).
% 12.56/12.76 tff(14088,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14087, 14085])).
% 12.56/12.76 tff(14089,plain,
% 12.56/12.76 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14090,plain,
% 12.56/12.76 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 12.56/12.76 tff(14091,plain,
% 12.56/12.76 ((~m_state_v_gob(c_s, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14090, 12869, 14084])).
% 12.56/12.76 tff(14092,plain,
% 12.56/12.76 (~m_state_v_gob(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14091, 14080, 14063])).
% 12.56/12.76 tff(14093,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14094,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14095,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s5) | (~node96(c_s, s5))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 12.56/12.76 tff(14096,plain,
% 12.56/12.76 (~node96(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14095, 12883, 14092])).
% 12.56/12.76 tff(14097,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14098,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14099,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 12.56/12.76 tff(14100,plain,
% 12.56/12.76 (~node92(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14099, 12442, 13782])).
% 12.56/12.76 tff(14101,plain,
% 12.56/12.76 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))))),
% 12.56/12.76 inference(bind,[status(th)],[])).
% 12.56/12.76 tff(14102,plain,
% 12.56/12.76 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 12.56/12.76 inference(quant_intro,[status(thm)],[14101])).
% 12.56/12.76 tff(14103,plain,
% 12.56/12.76 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14104,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_34')).
% 12.56/12.76 tff(14105,plain,
% 12.56/12.76 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 12.56/12.76 tff(14106,plain,(
% 12.56/12.76 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 12.56/12.76 inference(skolemize,[status(sab)],[14105])).
% 12.56/12.76 tff(14107,plain,
% 12.56/12.76 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14106, 14102])).
% 12.56/12.76 tff(14108,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14109,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14110,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 12.56/12.76 tff(14111,plain,
% 12.56/12.76 (~node97(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14110, 14107, 13782])).
% 12.56/12.76 tff(14112,plain,
% 12.56/12.76 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14113,plain,
% 12.56/12.76 (((~m_state_v_CVM(c_s, s5, c_up)) | (~m_state_v_CVM(c_s, s5, c_idle))) <=> ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14114,plain,
% 12.56/12.76 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_up)) | (~m_state_v_CVM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up))))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14113])).
% 12.56/12.76 tff(14115,plain,
% 12.56/12.76 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_up)) | (~m_state_v_CVM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up)))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14114, 14112])).
% 12.56/12.76 tff(14116,plain,
% 12.56/12.76 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s5, c_up)) | (~m_state_v_CVM(c_s, s5, c_idle)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14117,plain,
% 12.56/12.76 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~m_state_v_CVM(c_s, s5, c_up))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 12.56/12.76 tff(14118,plain,
% 12.56/12.76 (~m_state_v_CVM(c_s, s5, c_up)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14117, 12117, 13360])).
% 12.56/12.76 tff(14119,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14120,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14121,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5))),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14120, 14119])).
% 12.56/12.76 tff(14122,plain,
% 12.56/12.76 (~node93(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14121, 12798, 14118])).
% 12.56/12.76 tff(14123,plain,
% 12.56/12.76 (~m_state_v_CVM(c_s, s5, c_down)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[13689, 12809, 13360])).
% 12.56/12.76 tff(14124,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | ((~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14125,plain,
% 12.56/12.76 ((m_state_v_CVM(c_s, s5, c_down) | (~node95(c_s, s5))) <=> ((~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14126,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node95(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | ((~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14125])).
% 12.56/12.76 tff(14127,plain,
% 12.56/12.76 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node95(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14126, 14124])).
% 12.56/12.76 tff(14128,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node95(c_s, s5)))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14129,plain,
% 12.56/12.76 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (~node95(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 12.56/12.76 tff(14130,plain,
% 12.56/12.76 (~node95(c_s, s5)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14129, 12623, 14123])).
% 12.56/12.76 tff(14131,plain,
% 12.56/12.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14132,plain,
% 12.56/12.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))),
% 12.56/12.76 inference(quant_inst,[status(thm)],[])).
% 12.56/12.76 tff(14133,plain,
% 12.56/12.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6)),
% 12.56/12.76 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 12.56/12.76 tff(14134,plain,
% 12.56/12.76 (node99(c_s, s5, s6)),
% 12.56/12.76 inference(unit_resolution,[status(thm)],[14133, 12030, 12027, 15])).
% 12.56/12.76 tff(14135,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14136,plain,
% 12.56/12.76 ((node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6))) <=> (node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))),
% 12.56/12.76 inference(rewrite,[status(thm)],[])).
% 12.56/12.76 tff(14137,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6))))),
% 12.56/12.76 inference(monotonicity,[status(thm)],[14136])).
% 12.56/12.76 tff(14138,plain,
% 12.56/12.76 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))),
% 12.56/12.76 inference(transitivity,[status(thm)],[14137, 14135])).
% 12.56/12.76 tff(14139,plain,
% 12.56/12.76 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14140,plain,
% 12.56/12.77 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 12.56/12.77 tff(14141,plain,
% 12.56/12.77 (node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node92(c_s, s5) | node98(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14140, 12670, 14134])).
% 12.56/12.77 tff(14142,plain,
% 12.56/12.77 (node94(c_s, s5) | node98(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14141, 14130, 14122, 14111, 14100, 14096])).
% 12.56/12.77 tff(14143,plain,
% 12.56/12.77 (node98(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14142, 13872])).
% 12.56/12.77 tff(14144,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14145,plain,
% 12.56/12.77 (((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up))) <=> ((~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14146,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6))))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14145])).
% 12.56/12.77 tff(14147,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6)))),
% 12.56/12.77 inference(transitivity,[status(thm)],[14146, 14144])).
% 12.56/12.77 tff(14148,plain,
% 12.56/12.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14149,plain,
% 12.56/12.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s5, c_up) | (~node98(c_s, s5, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 12.56/12.77 tff(14150,plain,
% 12.56/12.77 (~m_state_v_CVM(c_s, s6, c_up)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14149, 12838, 14118, 14143])).
% 12.56/12.77 tff(14151,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14152,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14153,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14152, 14151])).
% 12.56/12.77 tff(14154,plain,
% 12.56/12.77 (~node93(c_s, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14153, 12798, 14150])).
% 12.56/12.77 tff(14155,plain,
% 12.56/12.77 (m_state_v_gvp(c_s, s6, c_sd)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[13753, 12845])).
% 12.56/12.77 tff(14156,plain,
% 12.56/12.77 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s6, c_ovb)) | (~m_state_v_gvp(c_s, s6, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~m_state_v_gvp(c_s, s6, c_sd)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14157,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s6, c_ovb)) | (~m_state_v_gvp(c_s, s6, c_sd)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14158,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~m_state_v_gvp(c_s, s6, c_sd))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14157, 14156])).
% 12.56/12.77 tff(14159,plain,
% 12.56/12.77 (~m_state_v_gvp(c_s, s6, c_ovb)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14158, 12300, 14155])).
% 12.56/12.77 tff(14160,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14161,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14162,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 12.56/12.77 tff(14163,plain,
% 12.56/12.77 (~node92(c_s, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14162, 12442, 14159])).
% 12.56/12.77 tff(14164,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14165,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14166,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14165, 14164])).
% 12.56/12.77 tff(14167,plain,
% 12.56/12.77 (~node97(c_s, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14166, 14107, 14159])).
% 12.56/12.77 tff(14168,plain,
% 12.56/12.77 (~m_state_v_gvp(c_s, s6, c_ovf)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[13763, 12396, 14155])).
% 12.56/12.77 tff(14169,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14170,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14171,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14170, 14169])).
% 12.56/12.77 tff(14172,plain,
% 12.56/12.77 (~node95(c_s, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14171, 12971, 14168])).
% 12.56/12.77 tff(14173,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14174,plain,
% 12.56/12.77 (((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up))) <=> (m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14175,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4))))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14174])).
% 12.56/12.77 tff(14176,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4)))),
% 12.56/12.77 inference(transitivity,[status(thm)],[14175, 14173])).
% 12.56/12.77 tff(14177,plain,
% 12.56/12.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14178,plain,
% 12.56/12.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)) | (~node98(c_s, s3, s4))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 12.56/12.77 tff(14179,plain,
% 12.56/12.77 (~m_state_v_CVM(c_s, s4, c_up)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14178, 12838, 12791, 12828])).
% 12.56/12.77 tff(14180,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14181,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14182,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 12.56/12.77 tff(14183,plain,
% 12.56/12.77 (~node100(c_s, s4)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14182, 14044, 14179])).
% 12.56/12.77 tff(14184,plain,
% 12.56/12.77 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))))),
% 12.56/12.77 inference(bind,[status(th)],[])).
% 12.56/12.77 tff(14185,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 12.56/12.77 inference(quant_intro,[status(thm)],[14184])).
% 12.56/12.77 tff(14186,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14187,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_50')).
% 12.56/12.77 tff(14188,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 12.56/12.77 tff(14189,plain,(
% 12.56/12.77 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 12.56/12.77 inference(skolemize,[status(sab)],[14188])).
% 12.56/12.77 tff(14190,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14189, 14185])).
% 12.56/12.77 tff(14191,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node102(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node102(c_s, s5)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14192,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node102(c_s, s5)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14193,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node102(c_s, s5))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 12.56/12.77 tff(14194,plain,
% 12.56/12.77 (~node102(c_s, s5)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14193, 14190, 13806])).
% 12.56/12.77 tff(14195,assumption,(node100(c_s, s5)), introduced(assumption)).
% 12.56/12.77 tff(14196,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | ((~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14197,plain,
% 12.56/12.77 ((m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5))) <=> ((~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14198,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | ((~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up)))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14197])).
% 12.56/12.77 tff(14199,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up))),
% 12.56/12.77 inference(transitivity,[status(thm)],[14198, 14196])).
% 12.56/12.77 tff(14200,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14201,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (~node100(c_s, s5)) | m_state_v_CVM(c_s, s5, c_up)),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 12.56/12.77 tff(14202,plain,
% 12.56/12.77 (m_state_v_CVM(c_s, s5, c_up)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14201, 14044, 14195])).
% 12.56/12.77 tff(14203,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node100(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node100(c_s, s5)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14204,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s5, c_sd) | (~node100(c_s, s5)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14205,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s5, c_sd) | (~node100(c_s, s5))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14204, 14203])).
% 12.56/12.77 tff(14206,plain,
% 12.56/12.77 (m_state_v_gvp(c_s, s5, c_sd) | (~node100(c_s, s5))),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14205, 12500])).
% 12.56/12.77 tff(14207,plain,
% 12.56/12.77 (m_state_v_gvp(c_s, s5, c_sd)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14206, 14195])).
% 12.56/12.77 tff(14208,plain,
% 12.56/12.77 (~m_state_v_gvp(c_s, s5, c_ovf)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[13572, 12396, 14207])).
% 12.56/12.77 tff(14209,plain,
% 12.56/12.77 (~m_state_v_CVM(c_s, s4, c_down)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[13560, 14208])).
% 12.56/12.77 tff(14210,plain,
% 12.56/12.77 (m_state_v_CVM(c_s, s5, c_idle)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[13359, 14209])).
% 12.56/12.77 tff(14211,plain,
% 12.56/12.77 ($false),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14117, 12117, 14210, 14202])).
% 12.56/12.77 tff(14212,plain,(~node100(c_s, s5)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.77 tff(14213,assumption,(~node100(c_s, s4)), introduced(assumption)).
% 12.56/12.77 tff(14214,assumption,(~node100(c_s, s5)), introduced(assumption)).
% 12.56/12.77 tff(14215,assumption,(~node102(c_s, s5)), introduced(assumption)).
% 12.56/12.77 tff(14216,assumption,(~m_state_v_CHM(c_s, s6, c_idle)), introduced(assumption)).
% 12.56/12.77 tff(14217,assumption,(m_state_v_CHM(c_s, s5, c_idle)), introduced(assumption)).
% 12.56/12.77 tff(14218,plain,
% 12.56/12.77 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14219,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14220,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 12.56/12.77 tff(14221,plain,
% 12.56/12.77 (~m_state_v_CHM(c_s, s5, c_todepbelt)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14220, 12478, 14217])).
% 12.56/12.77 tff(14222,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~node103(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~node103(c_s, s5)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14223,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~node103(c_s, s5)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14224,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~node103(c_s, s5))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 12.56/12.77 tff(14225,plain,
% 12.56/12.77 (~node103(c_s, s5)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14224, 12489, 14221])).
% 12.56/12.77 tff(14226,plain,
% 12.56/12.77 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14227,plain,
% 12.56/12.77 (((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle))) <=> ((~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14228,plain,
% 12.56/12.77 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt))))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14227])).
% 12.56/12.77 tff(14229,plain,
% 12.56/12.77 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))),
% 12.56/12.77 inference(transitivity,[status(thm)],[14228, 14226])).
% 12.56/12.77 tff(14230,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14231,plain,
% 12.56/12.77 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 12.56/12.77 tff(14232,plain,
% 12.56/12.77 (~m_state_v_CHM(c_s, s5, c_tofeedbelt)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14231, 12742, 14217])).
% 12.56/12.77 tff(14233,plain,
% 12.56/12.77 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))))),
% 12.56/12.77 inference(bind,[status(th)],[])).
% 12.56/12.77 tff(14234,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 12.56/12.77 inference(quant_intro,[status(thm)],[14233])).
% 12.56/12.77 tff(14235,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14236,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_47')).
% 12.56/12.77 tff(14237,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14236, 14235])).
% 12.56/12.77 tff(14238,plain,(
% 12.56/12.77 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 12.56/12.77 inference(skolemize,[status(sab)],[14237])).
% 12.56/12.77 tff(14239,plain,
% 12.56/12.77 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14238, 14234])).
% 12.56/12.77 tff(14240,plain,
% 12.56/12.77 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14241,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14242,plain,
% 12.56/12.77 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 12.56/12.77 tff(14243,plain,
% 12.56/12.77 (~node101(c_s, s5)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14242, 14239, 14232])).
% 12.56/12.77 tff(14244,plain,
% 12.56/12.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14245,plain,
% 12.56/12.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14246,plain,
% 12.56/12.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6)),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 12.56/12.77 tff(14247,plain,
% 12.56/12.77 (node105(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14246, 12030, 12456, 15])).
% 12.56/12.77 tff(14248,plain,
% 12.56/12.77 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14249,plain,
% 12.56/12.77 ((node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6))) <=> (node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14250,plain,
% 12.56/12.77 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6))))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14249])).
% 12.56/12.77 tff(14251,plain,
% 12.56/12.77 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))),
% 12.56/12.77 inference(transitivity,[status(thm)],[14250, 14248])).
% 12.56/12.77 tff(14252,plain,
% 12.56/12.77 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))),
% 12.56/12.77 inference(quant_inst,[status(thm)],[])).
% 12.56/12.77 tff(14253,plain,
% 12.56/12.77 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6))),
% 12.56/12.77 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 12.56/12.77 tff(14254,plain,
% 12.56/12.77 (node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14253, 12545, 14247])).
% 12.56/12.77 tff(14255,plain,
% 12.56/12.77 (node104(c_s, s5, s6)),
% 12.56/12.77 inference(unit_resolution,[status(thm)],[14254, 14243, 14225, 14215, 14214])).
% 12.56/12.77 tff(14256,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14257,plain,
% 12.56/12.77 (((~node104(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_idle)) | m_state_v_CHM(c_s, s6, c_idle)) <=> (m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6)))),
% 12.56/12.77 inference(rewrite,[status(thm)],[])).
% 12.56/12.77 tff(14258,plain,
% 12.56/12.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_idle)) | m_state_v_CHM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6))))),
% 12.56/12.77 inference(monotonicity,[status(thm)],[14257])).
% 12.56/12.78 tff(14259,plain,
% 12.56/12.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_idle)) | m_state_v_CHM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6)))),
% 12.56/12.78 inference(transitivity,[status(thm)],[14258, 14256])).
% 12.56/12.78 tff(14260,plain,
% 12.56/12.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_idle)) | m_state_v_CHM(c_s, s6, c_idle))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14261,plain,
% 12.56/12.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_CHM(c_s, s5, c_idle)) | (~node104(c_s, s5, s6))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 12.56/12.78 tff(14262,plain,
% 12.56/12.78 ($false),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14261, 14073, 14216, 14217, 14255])).
% 12.56/12.78 tff(14263,plain,((~m_state_v_CHM(c_s, s5, c_idle)) | m_state_v_CHM(c_s, s6, c_idle) | node102(c_s, s5) | node100(c_s, s5)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.78 tff(14264,plain,
% 12.56/12.78 (~m_state_v_CHM(c_s, s5, c_idle)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14263, 14216, 14215, 14214])).
% 12.56/12.78 tff(14265,plain,
% 12.56/12.78 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node103(J0, X))) <=> (m_state_v_gob(J0, X) | (~node103(J0, X))))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14266,plain,
% 12.56/12.78 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14265])).
% 12.56/12.78 tff(14267,plain,
% 12.56/12.78 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14268,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_55')).
% 12.56/12.78 tff(14269,plain,
% 12.56/12.78 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14268, 14267])).
% 12.56/12.78 tff(14270,plain,(
% 12.56/12.78 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 12.56/12.78 inference(skolemize,[status(sab)],[14269])).
% 12.56/12.78 tff(14271,plain,
% 12.56/12.78 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14270, 14266])).
% 12.56/12.78 tff(14272,plain,
% 12.56/12.78 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node103(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s4) | (~node103(c_s, s4)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14273,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node103(c_s, s4)))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14274,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s4) | (~node103(c_s, s4))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 12.56/12.78 tff(14275,plain,
% 12.56/12.78 (~node103(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14274, 14271, 12876])).
% 12.56/12.78 tff(14276,plain,
% 12.56/12.78 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node102(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node102(c_s, s4)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14277,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node102(c_s, s4)))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14278,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node102(c_s, s4))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 12.56/12.78 tff(14279,plain,
% 12.56/12.78 (~node102(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14278, 14190, 12964])).
% 12.56/12.78 tff(14280,assumption,(~node103(c_s, s4)), introduced(assumption)).
% 12.56/12.78 tff(14281,assumption,(~node102(c_s, s4)), introduced(assumption)).
% 12.56/12.78 tff(14282,assumption,(~m_state_v_CHM(c_s, s5, c_idle)), introduced(assumption)).
% 12.56/12.78 tff(14283,assumption,(~node76(c_s, s3, s4)), introduced(assumption)).
% 12.56/12.78 tff(14284,plain,
% 12.56/12.78 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14285,plain,
% 12.56/12.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14286,plain,
% 12.56/12.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4)),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 12.56/12.78 tff(14287,plain,
% 12.56/12.78 ($false),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14286, 28, 13894, 1179, 14283])).
% 12.56/12.78 tff(14288,plain,(node76(c_s, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.78 tff(14289,plain,
% 12.56/12.78 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14290,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14289])).
% 12.56/12.78 tff(14291,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14292,plain,
% 12.56/12.78 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14293,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14292])).
% 12.56/12.78 tff(14294,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_168')).
% 12.56/12.78 tff(14295,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 12.56/12.78 tff(14296,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14295, 14291])).
% 12.56/12.78 tff(14297,plain,(
% 12.56/12.78 ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(skolemize,[status(sab)],[14296])).
% 12.56/12.78 tff(14298,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14297, 14290])).
% 12.56/12.78 tff(14299,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14300,plain,
% 12.56/12.78 ((m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4))) <=> ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14301,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4)))),
% 12.56/12.78 inference(monotonicity,[status(thm)],[14300])).
% 12.56/12.78 tff(14302,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4))),
% 12.56/12.78 inference(transitivity,[status(thm)],[14301, 14299])).
% 12.56/12.78 tff(14303,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14304,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4)),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14303, 14302])).
% 12.56/12.78 tff(14305,plain,
% 12.56/12.78 ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)) | m_state_v_gof(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14304, 14298])).
% 12.56/12.78 tff(14306,plain,
% 12.56/12.78 ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14305, 14288])).
% 12.56/12.78 tff(14307,plain,
% 12.56/12.78 (m_state_v_gof(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14306, 12717])).
% 12.56/12.78 tff(14308,plain,
% 12.56/12.78 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14309,plain,
% 12.56/12.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14310,plain,
% 12.56/12.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5)),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 12.56/12.78 tff(14311,plain,
% 12.56/12.78 (node105(c_s, s4, s5)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14310, 12030, 12456, 4253])).
% 12.56/12.78 tff(14312,plain,
% 12.56/12.78 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14313,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14312])).
% 12.56/12.78 tff(14314,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14315,plain,
% 12.56/12.78 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X))), (((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) <=> (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | (~m_state_v_gof(J0, X))))), rewrite((((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | (~m_state_v_gof(J0, X))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X))), (((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)))), ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> (((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | m_state_v_CHM(J0, Y, c_idle)))), rewrite((((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle))), ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)))), (((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> (((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))))), rewrite((((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))), (((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14316,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14315])).
% 12.56/12.78 tff(14317,axiom,(![Y: $i, X: $i, J0: $i] : ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_59')).
% 12.56/12.78 tff(14318,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 12.56/12.78 tff(14319,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14318, 14314])).
% 12.56/12.78 tff(14320,plain,(
% 12.56/12.78 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(skolemize,[status(sab)],[14319])).
% 12.56/12.78 tff(14321,plain,
% 12.56/12.78 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14320, 14313])).
% 12.56/12.78 tff(14322,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14323,plain,
% 12.56/12.78 (((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle)) <=> (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14324,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5))))),
% 12.56/12.78 inference(monotonicity,[status(thm)],[14323])).
% 12.56/12.78 tff(14325,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5)))),
% 12.56/12.78 inference(transitivity,[status(thm)],[14324, 14322])).
% 12.56/12.78 tff(14326,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14327,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4)) | (~node105(c_s, s4, s5))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 12.56/12.78 tff(14328,plain,
% 12.56/12.78 (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | (~m_state_v_gof(c_s, s4))),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14327, 14321, 14311])).
% 12.56/12.78 tff(14329,plain,
% 12.56/12.78 (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14328, 14307])).
% 12.56/12.78 tff(14330,plain,
% 12.56/12.78 (~m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14329, 14282, 14213])).
% 12.56/12.78 tff(14331,plain,
% 12.56/12.78 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node101(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node101(c_s, s4)))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14332,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node101(c_s, s4)))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14333,plain,
% 12.56/12.78 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node101(c_s, s4))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 12.56/12.78 tff(14334,plain,
% 12.56/12.78 (~node101(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14333, 14239, 14330])).
% 12.56/12.78 tff(14335,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14336,plain,
% 12.56/12.78 ((node101(c_s, s4) | node100(c_s, s4) | node102(c_s, s4) | node103(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5))) <=> (node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14337,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s4) | node100(c_s, s4) | node102(c_s, s4) | node103(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4)))),
% 12.56/12.78 inference(monotonicity,[status(thm)],[14336])).
% 12.56/12.78 tff(14338,plain,
% 12.56/12.78 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s4) | node100(c_s, s4) | node102(c_s, s4) | node103(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4))),
% 12.56/12.78 inference(transitivity,[status(thm)],[14337, 14335])).
% 12.56/12.78 tff(14339,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s4) | node100(c_s, s4) | node102(c_s, s4) | node103(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)))),
% 12.56/12.78 inference(quant_inst,[status(thm)],[])).
% 12.56/12.78 tff(14340,plain,
% 12.56/12.78 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | (~node105(c_s, s4, s5)) | node101(c_s, s4) | node103(c_s, s4)),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14339, 14338])).
% 12.56/12.78 tff(14341,plain,
% 12.56/12.78 (node102(c_s, s4) | node100(c_s, s4) | node104(c_s, s4, s5) | node101(c_s, s4) | node103(c_s, s4)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14340, 12545, 14311])).
% 12.56/12.78 tff(14342,plain,
% 12.56/12.78 (node104(c_s, s4, s5)),
% 12.56/12.78 inference(unit_resolution,[status(thm)],[14341, 14334, 14281, 14213, 14280])).
% 12.56/12.78 tff(14343,assumption,(~m_state_v_CHM(c_s, s4, c_todepbelt)), introduced(assumption)).
% 12.56/12.78 tff(14344,plain,
% 12.56/12.78 (^[I0: $i, X: $i] : refl((m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)) <=> (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14345,plain,
% 12.56/12.78 (![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)) <=> ![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14344])).
% 12.56/12.78 tff(14346,plain,
% 12.56/12.78 (![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)) <=> ![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(rewrite,[status(thm)],[])).
% 12.56/12.78 tff(14347,plain,
% 12.56/12.78 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_state_v_CHM(I0, X, c_tofeedbelt) | m_state_v_CHM(I0, X, c_todepbelt)) <=> (m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))), (((m_state_v_CHM(I0, X, c_tofeedbelt) | m_state_v_CHM(I0, X, c_todepbelt)) | m_state_v_CHM(I0, X, c_idle)) <=> ((m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)) | m_state_v_CHM(I0, X, c_idle)))), rewrite(((m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt)) | m_state_v_CHM(I0, X, c_idle)) <=> (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))), (((m_state_v_CHM(I0, X, c_tofeedbelt) | m_state_v_CHM(I0, X, c_todepbelt)) | m_state_v_CHM(I0, X, c_idle)) <=> (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))))),
% 12.56/12.78 inference(bind,[status(th)],[])).
% 12.56/12.78 tff(14348,plain,
% 12.56/12.78 (![I0: $i, X: $i] : ((m_state_v_CHM(I0, X, c_tofeedbelt) | m_state_v_CHM(I0, X, c_todepbelt)) | m_state_v_CHM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(quant_intro,[status(thm)],[14347])).
% 12.56/12.78 tff(14349,axiom,(![I0: $i, X: $i] : ((m_state_v_CHM(I0, X, c_tofeedbelt) | m_state_v_CHM(I0, X, c_todepbelt)) | m_state_v_CHM(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_13')).
% 12.56/12.78 tff(14350,plain,
% 12.56/12.78 (![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14349, 14348])).
% 12.56/12.78 tff(14351,plain,
% 12.56/12.78 (![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14350, 14346])).
% 12.56/12.78 tff(14352,plain,(
% 12.56/12.78 ![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(skolemize,[status(sab)],[14351])).
% 12.56/12.78 tff(14353,plain,
% 12.56/12.78 (![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))),
% 12.56/12.78 inference(modus_ponens,[status(thm)],[14352, 14345])).
% 12.56/12.78 tff(14354,plain,
% 12.56/12.78 (((~![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s4, c_idle) | m_state_v_CHM(c_s, s4, c_todepbelt) | m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s4, c_idle) | m_state_v_CHM(c_s, s4, c_todepbelt) | m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14355,plain,
% 12.56/12.79 ((~![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s4, c_idle) | m_state_v_CHM(c_s, s4, c_todepbelt) | m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14356,plain,
% 12.56/12.79 ((~![I0: $i, X: $i] : (m_state_v_CHM(I0, X, c_idle) | m_state_v_CHM(I0, X, c_todepbelt) | m_state_v_CHM(I0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s4, c_idle) | m_state_v_CHM(c_s, s4, c_todepbelt) | m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 12.56/12.79 tff(14357,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s4, c_idle) | m_state_v_CHM(c_s, s4, c_todepbelt) | m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14356, 14353])).
% 12.56/12.79 tff(14358,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s4, c_idle)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14357, 14330, 14343])).
% 12.56/12.79 tff(14359,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14360,plain,
% 12.56/12.79 (((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_idle)) | m_state_v_CHM(c_s, s5, c_idle)) <=> (m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14361,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_idle)) | m_state_v_CHM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5))))),
% 12.56/12.79 inference(monotonicity,[status(thm)],[14360])).
% 12.56/12.79 tff(14362,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_idle)) | m_state_v_CHM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(transitivity,[status(thm)],[14361, 14359])).
% 12.56/12.79 tff(14363,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_idle)) | m_state_v_CHM(c_s, s5, c_idle))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14364,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_idle) | (~m_state_v_CHM(c_s, s4, c_idle)) | (~node104(c_s, s4, s5))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14363, 14362])).
% 12.56/12.79 tff(14365,plain,
% 12.56/12.79 ($false),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14364, 14073, 14282, 14358, 14342])).
% 12.56/12.79 tff(14366,plain,(m_state_v_CHM(c_s, s5, c_idle) | node102(c_s, s4) | node100(c_s, s4) | node103(c_s, s4) | m_state_v_CHM(c_s, s4, c_todepbelt)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.79 tff(14367,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s5, c_idle) | node100(c_s, s4) | m_state_v_CHM(c_s, s4, c_todepbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14366, 14279, 14275])).
% 12.56/12.79 tff(14368,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s4, c_todepbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14367, 14264, 14213])).
% 12.56/12.79 tff(14369,plain,
% 12.56/12.79 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt))))),
% 12.56/12.79 inference(bind,[status(th)],[])).
% 12.56/12.79 tff(14370,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(quant_intro,[status(thm)],[14369])).
% 12.56/12.79 tff(14371,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14372,plain,
% 12.56/12.79 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CHM(J0, X, c_todepbelt)) | m_state_v_gob(J0, Y)) | (~node74(J0, X, Y))) <=> (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt))))),
% 12.56/12.79 inference(bind,[status(th)],[])).
% 12.56/12.79 tff(14373,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_todepbelt)) | m_state_v_gob(J0, Y)) | (~node74(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(quant_intro,[status(thm)],[14372])).
% 12.56/12.79 tff(14374,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_todepbelt)) | m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_162')).
% 12.56/12.79 tff(14375,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 12.56/12.79 tff(14376,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14375, 14371])).
% 12.56/12.79 tff(14377,plain,(
% 12.56/12.79 ![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(skolemize,[status(sab)],[14376])).
% 12.56/12.79 tff(14378,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14377, 14370])).
% 12.56/12.79 tff(14379,plain,
% 12.56/12.79 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))) | (m_state_v_gob(c_s, s5) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))) | m_state_v_gob(c_s, s5) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14380,plain,
% 12.56/12.79 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))) | (m_state_v_gob(c_s, s5) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14381,plain,
% 12.56/12.79 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gob(J0, Y) | (~node74(J0, X, Y)) | (~m_state_v_CHM(J0, X, c_todepbelt)))) | m_state_v_gob(c_s, s5) | (~node74(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14380, 14379])).
% 12.56/12.79 tff(14382,plain,
% 12.56/12.79 (m_state_v_gob(c_s, s5) | (~m_state_v_CHM(c_s, s4, c_todepbelt))),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14381, 14378, 14084])).
% 12.56/12.79 tff(14383,plain,
% 12.56/12.79 (m_state_v_gob(c_s, s5)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14382, 14368])).
% 12.56/12.79 tff(14384,plain,
% 12.56/12.79 (~m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14329, 14264, 14213])).
% 12.56/12.79 tff(14385,plain,
% 12.56/12.79 (~node101(c_s, s4)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14333, 14239, 14384])).
% 12.56/12.79 tff(14386,plain,
% 12.56/12.79 (node100(c_s, s4) | node104(c_s, s4, s5) | node101(c_s, s4)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14341, 14275, 14279])).
% 12.56/12.79 tff(14387,plain,
% 12.56/12.79 (node104(c_s, s4, s5)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14386, 14385, 14213])).
% 12.56/12.79 tff(14388,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14389,plain,
% 12.56/12.79 (((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | m_state_v_CHM(c_s, s5, c_todepbelt)) <=> (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14390,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | m_state_v_CHM(c_s, s5, c_todepbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5))))),
% 12.56/12.79 inference(monotonicity,[status(thm)],[14389])).
% 12.56/12.79 tff(14391,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | m_state_v_CHM(c_s, s5, c_todepbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(transitivity,[status(thm)],[14390, 14388])).
% 12.56/12.79 tff(14392,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s4, s5)) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | m_state_v_CHM(c_s, s5, c_todepbelt))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14393,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s4, s5))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14392, 14391])).
% 12.56/12.79 tff(14394,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s5, c_todepbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14393, 14073, 14368, 14387])).
% 12.56/12.79 tff(14395,plain,
% 12.56/12.79 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)))),
% 12.56/12.79 inference(bind,[status(th)],[])).
% 12.56/12.79 tff(14396,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(quant_intro,[status(thm)],[14395])).
% 12.56/12.79 tff(14397,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14398,plain,
% 12.56/12.79 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node100(J0, X) | node101(J0, X)) | node102(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> ((~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) <=> ((~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) <=> (((~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)) | (~m_state_v_gob(J0, X))))), rewrite((((~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)) | (~m_state_v_gob(J0, X))) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> (((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)) | m_state_v_CHM(J0, Y, c_idle)))), rewrite((((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | m_state_v_CHM(J0, Y, c_idle))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | m_state_v_CHM(J0, Y, c_idle)))), (((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> (((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))))), rewrite((((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))), (((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))))),
% 12.56/12.79 inference(bind,[status(th)],[])).
% 12.56/12.79 tff(14399,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(quant_intro,[status(thm)],[14398])).
% 12.56/12.79 tff(14400,axiom,(![Y: $i, X: $i, J0: $i] : ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt))) | (~m_state_v_gob(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_61')).
% 12.56/12.79 tff(14401,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 12.56/12.79 tff(14402,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14401, 14397])).
% 12.56/12.79 tff(14403,plain,(
% 12.56/12.79 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(skolemize,[status(sab)],[14402])).
% 12.56/12.79 tff(14404,plain,
% 12.56/12.79 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14403, 14396])).
% 12.56/12.79 tff(14405,plain,
% 12.56/12.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14406,plain,
% 12.56/12.79 (((~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | (~node105(c_s, s5, s6)) | m_state_v_CHM(c_s, s6, c_idle)) <=> (node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14407,plain,
% 12.56/12.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | (~node105(c_s, s5, s6)) | m_state_v_CHM(c_s, s6, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt))))),
% 12.56/12.79 inference(monotonicity,[status(thm)],[14406])).
% 12.56/12.79 tff(14408,plain,
% 12.56/12.79 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | (~node105(c_s, s5, s6)) | m_state_v_CHM(c_s, s6, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)))),
% 12.56/12.79 inference(transitivity,[status(thm)],[14407, 14405])).
% 12.56/12.79 tff(14409,plain,
% 12.56/12.79 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | (~node105(c_s, s5, s6)) | m_state_v_CHM(c_s, s6, c_idle))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14410,plain,
% 12.56/12.79 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, X)) | (~m_state_v_CHM(J0, X, c_todepbelt)) | node101(J0, X) | node100(J0, X) | node102(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~node105(c_s, s5, s6)) | (~m_state_v_CHM(c_s, s5, c_todepbelt))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 12.56/12.79 tff(14411,plain,
% 12.56/12.79 (node100(c_s, s5) | node102(c_s, s5) | m_state_v_CHM(c_s, s6, c_idle) | (~m_state_v_gob(c_s, s5)) | node101(c_s, s5) | (~m_state_v_CHM(c_s, s5, c_todepbelt))),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14410, 14404, 14247])).
% 12.56/12.79 tff(14412,plain,
% 12.56/12.79 (node101(c_s, s5)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14411, 14394, 14216, 14215, 14214, 14383])).
% 12.56/12.79 tff(14413,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14414,plain,
% 12.56/12.79 (((~node104(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt))) <=> ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14415,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5))))),
% 12.56/12.79 inference(monotonicity,[status(thm)],[14414])).
% 12.56/12.79 tff(14416,plain,
% 12.56/12.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5)))),
% 12.56/12.79 inference(transitivity,[status(thm)],[14415, 14413])).
% 12.56/12.79 tff(14417,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14418,plain,
% 12.56/12.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~node104(c_s, s4, s5))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 12.56/12.79 tff(14419,plain,
% 12.56/12.79 (~m_state_v_CHM(c_s, s5, c_tofeedbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14418, 12562, 14384, 14387])).
% 12.56/12.79 tff(14420,plain,
% 12.56/12.79 ($false),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14242, 14239, 14419, 14412])).
% 12.56/12.79 tff(14421,plain,(m_state_v_CHM(c_s, s6, c_idle) | node102(c_s, s5) | node100(c_s, s5) | node100(c_s, s4)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.79 tff(14422,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s6, c_idle) | node102(c_s, s5) | node100(c_s, s4)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14421, 14212])).
% 12.56/12.79 tff(14423,plain,
% 12.56/12.79 (m_state_v_CHM(c_s, s6, c_idle)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14422, 14194, 14183])).
% 12.56/12.79 tff(14424,plain,
% 12.56/12.79 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14425,plain,
% 12.56/12.79 (((~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~m_state_v_CHM(c_s, s6, c_idle))) <=> ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14426,plain,
% 12.56/12.79 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt))))),
% 12.56/12.79 inference(monotonicity,[status(thm)],[14425])).
% 12.56/12.79 tff(14427,plain,
% 12.56/12.79 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))),
% 12.56/12.79 inference(transitivity,[status(thm)],[14426, 14424])).
% 12.56/12.79 tff(14428,plain,
% 12.56/12.79 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14429,plain,
% 12.56/12.79 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 12.56/12.79 tff(14430,plain,
% 12.56/12.79 ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_todepbelt))),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14429, 12478])).
% 12.56/12.79 tff(14431,plain,
% 12.56/12.79 (~m_state_v_CHM(c_s, s6, c_todepbelt)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14430, 14423])).
% 12.56/12.79 tff(14432,plain,
% 12.56/12.79 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~node96(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node96(c_s, s6)))),
% 12.56/12.79 inference(rewrite,[status(thm)],[])).
% 12.56/12.79 tff(14433,plain,
% 12.56/12.79 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~node96(c_s, s6)))),
% 12.56/12.79 inference(quant_inst,[status(thm)],[])).
% 12.56/12.79 tff(14434,plain,
% 12.56/12.79 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node96(c_s, s6))),
% 12.56/12.79 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 12.56/12.79 tff(14435,plain,
% 12.56/12.79 (~node96(c_s, s6)),
% 12.56/12.79 inference(unit_resolution,[status(thm)],[14434, 12576, 14431])).
% 12.56/12.79 tff(14436,plain,
% 12.56/12.79 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14437,plain,
% 12.56/12.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14438,plain,
% 12.56/12.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7)),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 12.56/12.80 tff(14439,plain,
% 12.56/12.80 (node99(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14438, 12030, 12027, 5162])).
% 12.56/12.80 tff(14440,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14441,plain,
% 12.56/12.80 ((node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7))) <=> (node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14442,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7)))),
% 12.56/12.80 inference(monotonicity,[status(thm)],[14441])).
% 12.56/12.80 tff(14443,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7))),
% 12.56/12.80 inference(transitivity,[status(thm)],[14442, 14440])).
% 12.56/12.80 tff(14444,plain,
% 12.56/12.80 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14445,plain,
% 12.56/12.80 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | (~node99(c_s, s6, s7)) | node98(c_s, s6, s7)),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 12.56/12.80 tff(14446,plain,
% 12.56/12.80 (node94(c_s, s6) | node96(c_s, s6) | node92(c_s, s6) | node93(c_s, s6) | node95(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14445, 12670, 14439])).
% 12.56/12.80 tff(14447,plain,
% 12.56/12.80 (node94(c_s, s6) | node93(c_s, s6) | node98(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14446, 14435, 14172, 14167, 14163])).
% 12.56/12.80 tff(14448,plain,
% 12.56/12.80 (node94(c_s, s6) | node98(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14447, 14154])).
% 12.56/12.80 tff(14449,plain,
% 12.56/12.80 (node98(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14448, 13868])).
% 12.56/12.80 tff(14450,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14451,plain,
% 12.56/12.80 (((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up))) <=> (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14452,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7))))),
% 12.56/12.80 inference(monotonicity,[status(thm)],[14451])).
% 12.56/12.80 tff(14453,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 12.56/12.80 inference(transitivity,[status(thm)],[14452, 14450])).
% 12.56/12.80 tff(14454,plain,
% 12.56/12.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14455,plain,
% 12.56/12.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 12.56/12.80 tff(14456,plain,
% 12.56/12.80 (~m_state_v_CVM(c_s, s7, c_up)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14455, 12838, 14150, 14449])).
% 12.56/12.80 tff(14457,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node100(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node100(c_s, s7)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14458,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node100(c_s, s7)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14459,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node100(c_s, s7))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14458, 14457])).
% 12.56/12.80 tff(14460,plain,
% 12.56/12.80 (~node100(c_s, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14459, 14044, 14456])).
% 12.56/12.80 tff(14461,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14462,plain,
% 12.56/12.80 (((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down))) <=> (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14463,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6))))),
% 12.56/12.80 inference(monotonicity,[status(thm)],[14462])).
% 12.56/12.80 tff(14464,plain,
% 12.56/12.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6)))),
% 12.56/12.80 inference(transitivity,[status(thm)],[14463, 14461])).
% 12.56/12.80 tff(14465,plain,
% 12.56/12.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14466,plain,
% 12.56/12.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)) | (~node98(c_s, s5, s6))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 12.56/12.80 tff(14467,plain,
% 12.56/12.80 (~m_state_v_CVM(c_s, s6, c_down)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14466, 12838, 14123, 14143])).
% 12.56/12.80 tff(14468,plain,
% 12.56/12.80 (^[X: $i, J0: $i] : refl(((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)))),
% 12.56/12.80 inference(bind,[status(th)],[])).
% 12.56/12.80 tff(14469,plain,
% 12.56/12.80 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(quant_intro,[status(thm)],[14468])).
% 12.56/12.80 tff(14470,plain,
% 12.56/12.80 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14471,plain,
% 12.56/12.80 (^[X: $i, J0: $i] : rewrite((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X))) <=> ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)))),
% 12.56/12.80 inference(bind,[status(th)],[])).
% 12.56/12.80 tff(14472,plain,
% 12.56/12.80 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(quant_intro,[status(thm)],[14471])).
% 12.56/12.80 tff(14473,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_173')).
% 12.56/12.80 tff(14474,plain,
% 12.56/12.80 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 12.56/12.80 tff(14475,plain,
% 12.56/12.80 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14474, 14470])).
% 12.56/12.80 tff(14476,plain,(
% 12.56/12.80 ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(skolemize,[status(sab)],[14475])).
% 12.56/12.80 tff(14477,plain,
% 12.56/12.80 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14476, 14469])).
% 12.56/12.80 tff(14478,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14479,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14480,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 12.56/12.80 tff(14481,plain,
% 12.56/12.80 ((~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14480, 14477])).
% 12.56/12.80 tff(14482,plain,
% 12.56/12.80 (~node77(c_s, s6)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14481, 13776])).
% 12.56/12.80 tff(14483,assumption,(node80(c_s, s6)), introduced(assumption)).
% 12.56/12.80 tff(14484,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node80(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node80(c_s, s6)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14485,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node80(c_s, s6)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14486,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node80(c_s, s6))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 12.56/12.80 tff(14487,plain,
% 12.56/12.80 (m_state_v_gvp(c_s, s6, c_ovf)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14486, 12289, 14483])).
% 12.56/12.80 tff(14488,plain,
% 12.56/12.80 (~m_state_v_gvp(c_s, s6, c_sd)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13763, 12396, 14487])).
% 12.56/12.80 tff(14489,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14490,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14491,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 12.56/12.80 tff(14492,plain,
% 12.56/12.80 (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14491, 13537, 14483])).
% 12.56/12.80 tff(14493,plain,
% 12.56/12.80 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13786, 13519, 14492])).
% 12.56/12.80 tff(14494,plain,
% 12.56/12.80 (m_state_v_CVM(c_s, s4, c_up)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13730, 14493, 14488])).
% 12.56/12.80 tff(14495,plain,
% 12.56/12.80 (~m_state_v_CVM(c_s, s4, c_down)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13757, 12612, 14494])).
% 12.56/12.80 tff(14496,plain,
% 12.56/12.80 (~node78(c_s, s4)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13364, 12897, 14495])).
% 12.56/12.80 tff(14497,plain,
% 12.56/12.80 (node81(c_s, s4, s5)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13390, 14496, 13379, 13374, 13369])).
% 12.56/12.80 tff(14498,plain,
% 12.56/12.80 (m_state_v_CVM(c_s, s5, c_idle)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13020, 14494, 13009, 12950])).
% 12.56/12.80 tff(14499,plain,
% 12.56/12.80 (~m_state_v_CVM(c_s, s5, c_up)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14117, 12117, 14498])).
% 12.56/12.80 tff(14500,plain,
% 12.56/12.80 (~node80(c_s, s5)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13620, 12908, 14499])).
% 12.56/12.80 tff(14501,plain,
% 12.56/12.80 (~m_state_v_CVM(c_s, s5, c_down)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13689, 12809, 14498])).
% 12.56/12.80 tff(14502,plain,
% 12.56/12.80 (~node78(c_s, s5)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13648, 12897, 14501])).
% 12.56/12.80 tff(14503,plain,
% 12.56/12.80 (^[I0: $i, X: $i] : refl(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf))))),
% 12.56/12.80 inference(bind,[status(th)],[])).
% 12.56/12.80 tff(14504,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(quant_intro,[status(thm)],[14503])).
% 12.56/12.80 tff(14505,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14506,plain,
% 12.56/12.80 (^[I0: $i, X: $i] : rewrite(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf))))),
% 12.56/12.80 inference(bind,[status(th)],[])).
% 12.56/12.80 tff(14507,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(quant_intro,[status(thm)],[14506])).
% 12.56/12.80 tff(14508,axiom,(![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_66')).
% 12.56/12.80 tff(14509,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 12.56/12.80 tff(14510,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14509, 14505])).
% 12.56/12.80 tff(14511,plain,(
% 12.56/12.80 ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(skolemize,[status(sab)],[14510])).
% 12.56/12.80 tff(14512,plain,
% 12.56/12.80 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14511, 14504])).
% 12.56/12.80 tff(14513,plain,
% 12.56/12.80 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14514,plain,
% 12.56/12.80 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14515,plain,
% 12.56/12.80 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14514, 14513])).
% 12.56/12.80 tff(14516,plain,
% 12.56/12.80 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14515, 14512, 14492])).
% 12.56/12.80 tff(14517,plain,
% 12.56/12.80 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13780, 14498, 14516])).
% 12.56/12.80 tff(14518,plain,
% 12.56/12.80 (~node77(c_s, s5)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13568, 12385, 14517])).
% 12.56/12.80 tff(14519,plain,
% 12.56/12.80 (~node79(c_s, s5)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13643, 12923, 14501])).
% 12.56/12.80 tff(14520,plain,
% 12.56/12.80 (node81(c_s, s5, s6)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13602, 14519, 14518, 14502, 14500])).
% 12.56/12.80 tff(14521,plain,
% 12.56/12.80 (~m_state_v_gvp(c_s, s5, c_sd)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13660, 14520, 14488])).
% 12.56/12.80 tff(14522,plain,
% 12.56/12.80 ($false),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[13398, 12343, 14521, 13009, 14497])).
% 12.56/12.80 tff(14523,plain,(~node80(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.80 tff(14524,assumption,(~node80(c_s, s6)), introduced(assumption)).
% 12.56/12.80 tff(14525,assumption,(~node81(c_s, s6, s7)), introduced(assumption)).
% 12.56/12.80 tff(14526,assumption,(~node77(c_s, s6)), introduced(assumption)).
% 12.56/12.80 tff(14527,assumption,(~m_state_v_CVM(c_s, s6, c_down)), introduced(assumption)).
% 12.56/12.80 tff(14528,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14529,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14530,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down)),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14529, 14528])).
% 12.56/12.80 tff(14531,plain,
% 12.56/12.80 (~node78(c_s, s6)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14530, 12897, 14527])).
% 12.56/12.80 tff(14532,plain,
% 12.56/12.80 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s6, c_down) | (~node79(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | m_state_v_CVM(c_s, s6, c_down) | (~node79(c_s, s6)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14533,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | (m_state_v_CVM(c_s, s6, c_down) | (~node79(c_s, s6)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14534,plain,
% 12.56/12.80 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node79(J0, X)))) | m_state_v_CVM(c_s, s6, c_down) | (~node79(c_s, s6))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14533, 14532])).
% 12.56/12.80 tff(14535,plain,
% 12.56/12.80 (~node79(c_s, s6)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14534, 12923, 14527])).
% 12.56/12.80 tff(14536,plain,
% 12.56/12.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14537,plain,
% 12.56/12.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14538,plain,
% 12.56/12.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7)),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14537, 14536])).
% 12.56/12.80 tff(14539,plain,
% 12.56/12.80 (node82(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14538, 28, 12044, 5162])).
% 12.56/12.80 tff(14540,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14541,plain,
% 12.56/12.80 ((node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))) <=> (node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 12.56/12.80 inference(rewrite,[status(thm)],[])).
% 12.56/12.80 tff(14542,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))))),
% 12.56/12.80 inference(monotonicity,[status(thm)],[14541])).
% 12.56/12.80 tff(14543,plain,
% 12.56/12.80 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 12.56/12.80 inference(transitivity,[status(thm)],[14542, 14540])).
% 12.56/12.80 tff(14544,plain,
% 12.56/12.80 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 12.56/12.80 inference(quant_inst,[status(thm)],[])).
% 12.56/12.80 tff(14545,plain,
% 12.56/12.80 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))),
% 12.56/12.80 inference(modus_ponens,[status(thm)],[14544, 14543])).
% 12.56/12.80 tff(14546,plain,
% 12.56/12.80 (node77(c_s, s6) | node80(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node81(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14545, 12326, 14539])).
% 12.56/12.80 tff(14547,plain,
% 12.56/12.80 ($false),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14546, 14535, 14531, 14526, 14525, 14524])).
% 12.56/12.80 tff(14548,plain,(m_state_v_CVM(c_s, s6, c_down) | node77(c_s, s6) | node81(c_s, s6, s7) | node80(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.56/12.80 tff(14549,plain,
% 12.56/12.80 (m_state_v_CVM(c_s, s6, c_down) | node77(c_s, s6) | node81(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14548, 14523])).
% 12.56/12.80 tff(14550,plain,
% 12.56/12.80 (m_state_v_CVM(c_s, s6, c_down) | node81(c_s, s6, s7)),
% 12.56/12.80 inference(unit_resolution,[status(thm)],[14549, 14482])).
% 12.56/12.81 tff(14551,plain,
% 12.56/12.81 (node81(c_s, s6, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14550, 14467])).
% 12.56/12.81 tff(14552,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14553,plain,
% 12.56/12.81 (((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf))) <=> ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14554,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7))))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14553])).
% 12.56/12.81 tff(14555,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 12.56/12.81 inference(transitivity,[status(thm)],[14554, 14552])).
% 12.56/12.81 tff(14556,plain,
% 12.56/12.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14557,plain,
% 12.56/12.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14556, 14555])).
% 12.56/12.81 tff(14558,plain,
% 12.56/12.81 ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7))),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14557, 12428])).
% 12.56/12.81 tff(14559,plain,
% 12.56/12.81 ((~m_state_v_gvp(c_s, s7, c_ovf)) | (~node81(c_s, s6, s7))),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14558, 14168])).
% 12.56/12.81 tff(14560,plain,
% 12.56/12.81 (~m_state_v_gvp(c_s, s7, c_ovf)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14559, 14551])).
% 12.56/12.81 tff(14561,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node102(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node102(c_s, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14562,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node102(c_s, s7)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14563,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node102(c_s, s7))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 12.56/12.81 tff(14564,plain,
% 12.56/12.81 (~node102(c_s, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14563, 14190, 14560])).
% 12.56/12.81 tff(14565,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14566,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14567,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 12.56/12.81 tff(14568,plain,
% 12.56/12.81 (~node100(c_s, s6)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14567, 14044, 14150])).
% 12.56/12.81 tff(14569,plain,
% 12.56/12.81 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14570,plain,
% 12.56/12.81 (((~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s6, c_idle))) <=> ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14571,plain,
% 12.56/12.81 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt))))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14570])).
% 12.56/12.81 tff(14572,plain,
% 12.56/12.81 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))),
% 12.56/12.81 inference(transitivity,[status(thm)],[14571, 14569])).
% 12.56/12.81 tff(14573,plain,
% 12.56/12.81 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s6, c_idle)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14574,plain,
% 12.56/12.81 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s6, c_idle)) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14573, 14572])).
% 12.56/12.81 tff(14575,plain,
% 12.56/12.81 (~m_state_v_CHM(c_s, s6, c_tofeedbelt)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14574, 12742, 14423])).
% 12.56/12.81 tff(14576,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14577,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14578,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 12.56/12.81 tff(14579,plain,
% 12.56/12.81 (~node101(c_s, s6)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14578, 14239, 14575])).
% 12.56/12.81 tff(14580,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~node103(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node103(c_s, s6)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14581,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~node103(c_s, s6)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14582,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node103(c_s, s6))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14581, 14580])).
% 12.56/12.81 tff(14583,plain,
% 12.56/12.81 (~node103(c_s, s6)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14582, 12489, 14431])).
% 12.56/12.81 tff(14584,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | ((~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14585,plain,
% 12.56/12.81 ((m_state_v_gvp(c_s, s6, c_ovf) | (~node102(c_s, s6))) <=> ((~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14586,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node102(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | ((~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf)))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14585])).
% 12.56/12.81 tff(14587,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node102(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.56/12.81 inference(transitivity,[status(thm)],[14586, 14584])).
% 12.56/12.81 tff(14588,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node102(c_s, s6)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14589,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (~node102(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf)),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 12.56/12.81 tff(14590,plain,
% 12.56/12.81 (~node102(c_s, s6)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14589, 14190, 14168])).
% 12.56/12.81 tff(14591,plain,
% 12.56/12.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14592,plain,
% 12.56/12.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14593,plain,
% 12.56/12.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7)),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 12.56/12.81 tff(14594,plain,
% 12.56/12.81 (node105(c_s, s6, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14593, 12030, 12456, 5162])).
% 12.56/12.81 tff(14595,plain,
% 12.56/12.81 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14596,plain,
% 12.56/12.81 ((node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7))) <=> (node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14597,plain,
% 12.56/12.81 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7)))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14596])).
% 12.56/12.81 tff(14598,plain,
% 12.56/12.81 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7))),
% 12.56/12.81 inference(transitivity,[status(thm)],[14597, 14595])).
% 12.56/12.81 tff(14599,plain,
% 12.56/12.81 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14600,plain,
% 12.56/12.81 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | (~node105(c_s, s6, s7)) | node104(c_s, s6, s7)),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14599, 14598])).
% 12.56/12.81 tff(14601,plain,
% 12.56/12.81 (node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node100(c_s, s6) | node104(c_s, s6, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14600, 12545, 14594])).
% 12.56/12.81 tff(14602,plain,
% 12.56/12.81 (node100(c_s, s6) | node104(c_s, s6, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14601, 14590, 14583, 14579])).
% 12.56/12.81 tff(14603,plain,
% 12.56/12.81 (node104(c_s, s6, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14602, 14568])).
% 12.56/12.81 tff(14604,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14605,plain,
% 12.56/12.81 (((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14606,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7))))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14605])).
% 12.56/12.81 tff(14607,plain,
% 12.56/12.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7)))),
% 12.56/12.81 inference(transitivity,[status(thm)],[14606, 14604])).
% 12.56/12.81 tff(14608,plain,
% 12.56/12.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14609,plain,
% 12.56/12.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | (~node104(c_s, s6, s7))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 12.56/12.81 tff(14610,plain,
% 12.56/12.81 (~m_state_v_CHM(c_s, s7, c_tofeedbelt)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14609, 12562, 14575, 14603])).
% 12.56/12.81 tff(14611,plain,
% 12.56/12.81 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node101(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node101(c_s, s7)))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14612,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node101(c_s, s7)))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14613,plain,
% 12.56/12.81 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node101(c_s, s7))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 12.56/12.81 tff(14614,plain,
% 12.56/12.81 (~node101(c_s, s7)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14613, 14239, 14610])).
% 12.56/12.81 tff(14615,plain,
% 12.56/12.81 (m_state_v_CHM(c_s, s5, c_idle)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14329, 14080, 14183])).
% 12.56/12.81 tff(14616,plain,
% 12.56/12.81 (~m_state_v_CHM(c_s, s5, c_todepbelt)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14220, 12478, 14615])).
% 12.56/12.81 tff(14617,plain,
% 12.56/12.81 (~m_state_v_CHM(c_s, s5, c_tofeedbelt)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14231, 12742, 14615])).
% 12.56/12.81 tff(14618,plain,
% 12.56/12.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14619,plain,
% 12.56/12.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))),
% 12.56/12.81 inference(quant_inst,[status(thm)],[])).
% 12.56/12.81 tff(14620,plain,
% 12.56/12.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6)),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14619, 14618])).
% 12.56/12.81 tff(14621,plain,
% 12.56/12.81 (node74(c_s, s5, s6)),
% 12.56/12.81 inference(unit_resolution,[status(thm)],[14620, 28, 12855, 15])).
% 12.56/12.81 tff(14622,plain,
% 12.56/12.81 (^[Y: $i, X: $i, J0: $i] : refl((node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 12.56/12.81 inference(bind,[status(th)],[])).
% 12.56/12.81 tff(14623,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(quant_intro,[status(thm)],[14622])).
% 12.56/12.81 tff(14624,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14625,plain,
% 12.56/12.81 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) <=> (node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), ((((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> ((node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node74(J0, X, Y))))), rewrite(((node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node74(J0, X, Y))) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), ((((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))))),
% 12.56/12.81 inference(bind,[status(th)],[])).
% 12.56/12.81 tff(14626,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(quant_intro,[status(thm)],[14625])).
% 12.56/12.81 tff(14627,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_164')).
% 12.56/12.81 tff(14628,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 12.56/12.81 tff(14629,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14628, 14624])).
% 12.56/12.81 tff(14630,plain,(
% 12.56/12.81 ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(skolemize,[status(sab)],[14629])).
% 12.56/12.81 tff(14631,plain,
% 12.56/12.81 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 12.56/12.81 inference(modus_ponens,[status(thm)],[14630, 14623])).
% 12.56/12.81 tff(14632,plain,
% 12.56/12.81 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14633,plain,
% 12.56/12.81 ((node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 12.56/12.81 inference(rewrite,[status(thm)],[])).
% 12.56/12.81 tff(14634,plain,
% 12.56/12.81 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6)))),
% 12.56/12.81 inference(monotonicity,[status(thm)],[14633])).
% 12.66/12.81 tff(14635,plain,
% 12.66/12.81 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 12.66/12.81 inference(transitivity,[status(thm)],[14634, 14632])).
% 12.66/12.81 tff(14636,plain,
% 12.66/12.81 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))),
% 12.66/12.81 inference(quant_inst,[status(thm)],[])).
% 12.66/12.81 tff(14637,plain,
% 12.66/12.81 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6)),
% 12.66/12.81 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 12.66/12.81 tff(14638,plain,
% 12.66/12.81 (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | node73(c_s, s5, s6)),
% 12.66/12.81 inference(unit_resolution,[status(thm)],[14637, 14631, 14621])).
% 12.66/12.81 tff(14639,plain,
% 12.66/12.81 (node73(c_s, s5, s6)),
% 12.66/12.81 inference(unit_resolution,[status(thm)],[14638, 14617, 14616])).
% 12.66/12.81 tff(14640,plain,
% 12.66/12.81 (^[Y: $i, X: $i, J0: $i] : refl(((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))))),
% 12.66/12.81 inference(bind,[status(th)],[])).
% 12.66/12.81 tff(14641,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(quant_intro,[status(thm)],[14640])).
% 12.66/12.81 tff(14642,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(rewrite,[status(thm)],[])).
% 12.66/12.81 tff(14643,plain,
% 12.66/12.81 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y))) <=> ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))))),
% 12.66/12.81 inference(bind,[status(th)],[])).
% 12.66/12.81 tff(14644,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(quant_intro,[status(thm)],[14643])).
% 12.66/12.81 tff(14645,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Sensor_161')).
% 12.66/12.81 tff(14646,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(modus_ponens,[status(thm)],[14645, 14644])).
% 12.66/12.81 tff(14647,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(modus_ponens,[status(thm)],[14646, 14642])).
% 12.66/12.81 tff(14648,plain,(
% 12.66/12.81 ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(skolemize,[status(sab)],[14647])).
% 12.66/12.81 tff(14649,plain,
% 12.66/12.81 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 12.66/12.81 inference(modus_ponens,[status(thm)],[14648, 14641])).
% 12.66/12.81 tff(14650,plain,
% 12.66/12.81 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14651,plain,
% 12.66/12.82 (((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6))) <=> (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14652,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6))))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14651])).
% 12.66/12.82 tff(14653,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14652, 14650])).
% 12.66/12.82 tff(14654,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14655,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 12.66/12.82 tff(14656,plain,
% 12.66/12.82 (~m_state_v_gob(c_s, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14655, 14649, 14092, 14639])).
% 12.66/12.82 tff(14657,plain,
% 12.66/12.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14658,plain,
% 12.66/12.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14659,plain,
% 12.66/12.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7)),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14658, 14657])).
% 12.66/12.82 tff(14660,plain,
% 12.66/12.82 (node74(c_s, s6, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14659, 28, 12855, 5162])).
% 12.66/12.82 tff(14661,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14662,plain,
% 12.66/12.82 ((node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14663,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7))))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14662])).
% 12.66/12.82 tff(14664,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14663, 14661])).
% 12.66/12.82 tff(14665,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14666,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14665, 14664])).
% 12.66/12.82 tff(14667,plain,
% 12.66/12.82 (m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | node73(c_s, s6, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14666, 14631, 14660])).
% 12.66/12.82 tff(14668,plain,
% 12.66/12.82 (node73(c_s, s6, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14667, 14575, 14431])).
% 12.66/12.82 tff(14669,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14670,plain,
% 12.66/12.82 (((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7))) <=> ((~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14671,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7))))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14670])).
% 12.66/12.82 tff(14672,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7)))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14671, 14669])).
% 12.66/12.82 tff(14673,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14674,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6) | (~node73(c_s, s6, s7))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 12.66/12.82 tff(14675,plain,
% 12.66/12.82 ((~m_state_v_gob(c_s, s7)) | m_state_v_gob(c_s, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14674, 14649, 14668])).
% 12.66/12.82 tff(14676,plain,
% 12.66/12.82 (~m_state_v_gob(c_s, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14675, 14656])).
% 12.66/12.82 tff(14677,plain,
% 12.66/12.82 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node103(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s7) | (~node103(c_s, s7)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14678,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node103(c_s, s7)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14679,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s7) | (~node103(c_s, s7))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 12.66/12.82 tff(14680,plain,
% 12.66/12.82 (~node103(c_s, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14679, 14271, 14676])).
% 12.66/12.82 tff(14681,plain,
% 12.66/12.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s7, s8))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14682,plain,
% 12.66/12.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s7, s8))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14683,plain,
% 12.66/12.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s7, s8)),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 12.66/12.82 tff(14684,plain,
% 12.66/12.82 (node105(c_s, s7, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14683, 12030, 12456, 5304])).
% 12.66/12.82 tff(14685,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14686,plain,
% 12.66/12.82 ((node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node103(c_s, s7) | node104(c_s, s7, s8) | (~node105(c_s, s7, s8))) <=> (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14687,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node103(c_s, s7) | node104(c_s, s7, s8) | (~node105(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8)))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14686])).
% 12.66/12.82 tff(14688,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node103(c_s, s7) | node104(c_s, s7, s8) | (~node105(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14687, 14685])).
% 12.66/12.82 tff(14689,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node103(c_s, s7) | node104(c_s, s7, s8) | (~node105(c_s, s7, s8)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14690,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | (~node105(c_s, s7, s8)) | node103(c_s, s7) | node104(c_s, s7, s8)),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 12.66/12.82 tff(14691,plain,
% 12.66/12.82 (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node103(c_s, s7) | node104(c_s, s7, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14690, 12545, 14684])).
% 12.66/12.82 tff(14692,plain,
% 12.66/12.82 (node101(c_s, s7) | node100(c_s, s7) | node102(c_s, s7) | node104(c_s, s7, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14691, 14680])).
% 12.66/12.82 tff(14693,plain,
% 12.66/12.82 (node100(c_s, s7) | node104(c_s, s7, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14692, 14614, 14564])).
% 12.66/12.82 tff(14694,plain,
% 12.66/12.82 (node104(c_s, s7, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14693, 14460])).
% 12.66/12.82 tff(14695,assumption,(m_state_v_CHM(c_s, s8, c_tofeedbelt)), introduced(assumption)).
% 12.66/12.82 tff(14696,assumption,(node104(c_s, s7, s8)), introduced(assumption)).
% 12.66/12.82 tff(14697,assumption,(~m_state_v_CHM(c_s, s7, c_tofeedbelt)), introduced(assumption)).
% 12.66/12.82 tff(14698,plain,
% 12.66/12.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14699,plain,
% 12.66/12.82 (((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14700,plain,
% 12.66/12.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt))))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14699])).
% 12.66/12.82 tff(14701,plain,
% 12.66/12.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14700, 14698])).
% 12.66/12.82 tff(14702,plain,
% 12.66/12.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14703,plain,
% 12.66/12.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 12.66/12.82 tff(14704,plain,
% 12.66/12.82 ($false),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14703, 12562, 14697, 14696, 14695])).
% 12.66/12.82 tff(14705,plain,(m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt))), inference(lemma,lemma(discharge,[]))).
% 12.66/12.82 tff(14706,plain,
% 12.66/12.82 ((~node104(c_s, s7, s8)) | (~m_state_v_CHM(c_s, s8, c_tofeedbelt))),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14705, 14610])).
% 12.66/12.82 tff(14707,plain,
% 12.66/12.82 (~m_state_v_CHM(c_s, s8, c_tofeedbelt)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14706, 14694])).
% 12.66/12.82 tff(14708,plain,
% 12.66/12.82 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node101(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node101(c_s, s8)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14709,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node101(c_s, s8)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14710,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node101(c_s, s8))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14709, 14708])).
% 12.66/12.82 tff(14711,plain,
% 12.66/12.82 (~node101(c_s, s8)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14710, 14239, 14707])).
% 12.66/12.82 tff(14712,assumption,(~m_state_v_CVM(c_s, s6, c_up)), introduced(assumption)).
% 12.66/12.82 tff(14713,plain,
% 12.66/12.82 (~node93(c_s, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14153, 12798, 14712])).
% 12.66/12.82 tff(14714,assumption,(~m_state_v_ff(c_s, s6)), introduced(assumption)).
% 12.66/12.82 tff(14715,plain,
% 12.66/12.82 (~node94(c_s, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[13867, 13341, 14714])).
% 12.66/12.82 tff(14716,plain,
% 12.66/12.82 (node98(c_s, s6, s7)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14447, 14715, 14713])).
% 12.66/12.82 tff(14717,assumption,(node13(c_s, s5)), introduced(assumption)).
% 12.66/12.82 tff(14718,plain,
% 12.66/12.82 (m_state_v_FBM(c_s, s5, c_on)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[12016, 12013, 14717])).
% 12.66/12.82 tff(14719,plain,
% 12.66/12.82 (^[X: $i, J0: $i] : refl(((~m_state_v_deliv(J0, X)) | (~node13(J0, X))) <=> ((~m_state_v_deliv(J0, X)) | (~node13(J0, X))))),
% 12.66/12.82 inference(bind,[status(th)],[])).
% 12.66/12.82 tff(14720,plain,
% 12.66/12.82 (![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))),
% 12.66/12.82 inference(quant_intro,[status(thm)],[14719])).
% 12.66/12.82 tff(14721,plain,
% 12.66/12.82 (![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14722,axiom,(![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_36')).
% 12.66/12.82 tff(14723,plain,
% 12.66/12.82 (![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 12.66/12.82 tff(14724,plain,(
% 12.66/12.82 ![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))),
% 12.66/12.82 inference(skolemize,[status(sab)],[14723])).
% 12.66/12.82 tff(14725,plain,
% 12.66/12.82 (![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14724, 14720])).
% 12.66/12.82 tff(14726,plain,
% 12.66/12.82 (((~![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))) | ((~m_state_v_deliv(c_s, s5)) | (~node13(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))) | (~m_state_v_deliv(c_s, s5)) | (~node13(c_s, s5)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14727,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))) | ((~m_state_v_deliv(c_s, s5)) | (~node13(c_s, s5)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14728,plain,
% 12.66/12.82 ((~![X: $i, J0: $i] : ((~m_state_v_deliv(J0, X)) | (~node13(J0, X)))) | (~m_state_v_deliv(c_s, s5)) | (~node13(c_s, s5))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 12.66/12.82 tff(14729,plain,
% 12.66/12.82 (~m_state_v_deliv(c_s, s5)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14728, 14725, 14717])).
% 12.66/12.82 tff(14730,plain,
% 12.66/12.82 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y))) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y))))),
% 12.66/12.82 inference(bind,[status(th)],[])).
% 12.66/12.82 tff(14731,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(quant_intro,[status(thm)],[14730])).
% 12.66/12.82 tff(14732,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14733,plain,
% 12.66/12.82 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))), (((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) <=> ((m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_ff(J0, Y)))), rewrite(((m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_ff(J0, Y)) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y))), (((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y)))), ((((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y))) <=> ((m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y))))), rewrite(((m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y))) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))), ((((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y))) <=> (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))))),
% 12.66/12.82 inference(bind,[status(th)],[])).
% 12.66/12.82 tff(14734,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(quant_intro,[status(thm)],[14733])).
% 12.66/12.82 tff(14735,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_FBM(J0, X, c_on)) | m_state_v_deliv(J0, X)) | (~m_state_v_pfl(J0, X))) | m_state_v_ff(J0, Y)) | (~node16(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_45')).
% 12.66/12.82 tff(14736,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 12.66/12.82 tff(14737,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14736, 14732])).
% 12.66/12.82 tff(14738,plain,(
% 12.66/12.82 ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(skolemize,[status(sab)],[14737])).
% 12.66/12.82 tff(14739,plain,
% 12.66/12.82 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14738, 14731])).
% 12.66/12.82 tff(14740,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | (m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14741,plain,
% 12.66/12.82 ((m_state_v_deliv(c_s, s5) | (~m_state_v_pfl(c_s, s5)) | (~m_state_v_FBM(c_s, s5, c_on)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6))) <=> (m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))),
% 12.66/12.82 inference(rewrite,[status(thm)],[])).
% 12.66/12.82 tff(14742,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | (m_state_v_deliv(c_s, s5) | (~m_state_v_pfl(c_s, s5)) | (~m_state_v_FBM(c_s, s5, c_on)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | (m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6))))),
% 12.66/12.82 inference(monotonicity,[status(thm)],[14741])).
% 12.66/12.82 tff(14743,plain,
% 12.66/12.82 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | (m_state_v_deliv(c_s, s5) | (~m_state_v_pfl(c_s, s5)) | (~m_state_v_FBM(c_s, s5, c_on)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))),
% 12.66/12.82 inference(transitivity,[status(thm)],[14742, 14740])).
% 12.66/12.82 tff(14744,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | (m_state_v_deliv(c_s, s5) | (~m_state_v_pfl(c_s, s5)) | (~m_state_v_FBM(c_s, s5, c_on)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6)))),
% 12.66/12.82 inference(quant_inst,[status(thm)],[])).
% 12.66/12.82 tff(14745,plain,
% 12.66/12.82 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~m_state_v_pfl(J0, X)) | (~m_state_v_FBM(J0, X, c_on)) | m_state_v_ff(J0, Y) | (~node16(J0, X, Y)))) | m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | (~m_state_v_pfl(c_s, s5)) | m_state_v_ff(c_s, s6) | (~node16(c_s, s5, s6))),
% 12.66/12.82 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 12.66/12.82 tff(14746,plain,
% 12.66/12.82 (m_state_v_deliv(c_s, s5) | (~m_state_v_FBM(c_s, s5, c_on)) | m_state_v_ff(c_s, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14745, 14739, 6928, 13817])).
% 12.66/12.82 tff(14747,plain,
% 12.66/12.82 ($false),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14746, 14729, 14718, 14714])).
% 12.66/12.82 tff(14748,plain,((~node13(c_s, s5)) | m_state_v_ff(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.82 tff(14749,plain,
% 12.66/12.82 (~node13(c_s, s5)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[14748, 14714])).
% 12.66/12.82 tff(14750,plain,
% 12.66/12.82 (node15(c_s, s5, s6)),
% 12.66/12.82 inference(unit_resolution,[status(thm)],[13825, 14749])).
% 12.66/12.83 tff(14751,assumption,(node15(c_s, s5, s6)), introduced(assumption)).
% 12.66/12.83 tff(14752,assumption,(m_state_v_ff(c_s, s5)), introduced(assumption)).
% 12.66/12.83 tff(14753,plain,
% 12.66/12.83 (^[Y: $i, X: $i, J0: $i] : refl(((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)) <=> ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)))),
% 12.66/12.83 inference(bind,[status(th)],[])).
% 12.66/12.83 tff(14754,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(quant_intro,[status(thm)],[14753])).
% 12.66/12.83 tff(14755,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14756,plain,
% 12.66/12.83 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_ff(J0, Y) | (~m_state_v_ff(J0, X))) <=> ((~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))), (((m_state_v_ff(J0, Y) | (~m_state_v_ff(J0, X))) | (~node15(J0, X, Y))) <=> (((~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)) | (~node15(J0, X, Y))))), rewrite((((~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y)) | (~node15(J0, X, Y))) <=> ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))), (((m_state_v_ff(J0, Y) | (~m_state_v_ff(J0, X))) | (~node15(J0, X, Y))) <=> ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))))),
% 12.66/12.83 inference(bind,[status(th)],[])).
% 12.66/12.83 tff(14757,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((m_state_v_ff(J0, Y) | (~m_state_v_ff(J0, X))) | (~node15(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(quant_intro,[status(thm)],[14756])).
% 12.66/12.83 tff(14758,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_ff(J0, Y) | (~m_state_v_ff(J0, X))) | (~node15(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_43')).
% 12.66/12.83 tff(14759,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14758, 14757])).
% 12.66/12.83 tff(14760,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14759, 14755])).
% 12.66/12.83 tff(14761,plain,(
% 12.66/12.83 ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(skolemize,[status(sab)],[14760])).
% 12.66/12.83 tff(14762,plain,
% 12.66/12.83 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14761, 14754])).
% 12.66/12.83 tff(14763,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14764,plain,
% 12.66/12.83 (((~node15(c_s, s5, s6)) | (~m_state_v_ff(c_s, s5)) | m_state_v_ff(c_s, s6)) <=> (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14765,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | ((~node15(c_s, s5, s6)) | (~m_state_v_ff(c_s, s5)) | m_state_v_ff(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14764])).
% 12.66/12.83 tff(14766,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | ((~node15(c_s, s5, s6)) | (~m_state_v_ff(c_s, s5)) | m_state_v_ff(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6)))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14765, 14763])).
% 12.66/12.83 tff(14767,plain,
% 12.66/12.83 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | ((~node15(c_s, s5, s6)) | (~m_state_v_ff(c_s, s5)) | m_state_v_ff(c_s, s6))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14768,plain,
% 12.66/12.83 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | (~m_state_v_ff(J0, X)) | m_state_v_ff(J0, Y))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s5, s6))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 12.66/12.83 tff(14769,plain,
% 12.66/12.83 ($false),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14768, 14762, 14752, 14714, 14751])).
% 12.66/12.83 tff(14770,plain,((~node15(c_s, s5, s6)) | (~m_state_v_ff(c_s, s5)) | m_state_v_ff(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.83 tff(14771,plain,
% 12.66/12.83 (~m_state_v_ff(c_s, s5)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14770, 14750, 14714])).
% 12.66/12.83 tff(14772,plain,
% 12.66/12.83 (~node94(c_s, s5)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[13871, 13341, 14771])).
% 12.66/12.83 tff(14773,plain,
% 12.66/12.83 (node98(c_s, s5, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14142, 14772])).
% 12.66/12.83 tff(14774,assumption,(node98(c_s, s5, s6)), introduced(assumption)).
% 12.66/12.83 tff(14775,assumption,(~m_state_v_CVM(c_s, s6, c_idle)), introduced(assumption)).
% 12.66/12.83 tff(14776,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14777,plain,
% 12.66/12.83 (((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle)) <=> (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14778,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14777])).
% 12.66/12.83 tff(14779,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14778, 14776])).
% 12.66/12.83 tff(14780,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14781,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 12.66/12.83 tff(14782,plain,
% 12.66/12.83 ($false),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14781, 12688, 14775, 13360, 14774])).
% 12.66/12.83 tff(14783,plain,((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.83 tff(14784,plain,
% 12.66/12.83 (m_state_v_CVM(c_s, s6, c_idle)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14783, 14773])).
% 12.66/12.83 tff(14785,assumption,(node98(c_s, s6, s7)), introduced(assumption)).
% 12.66/12.83 tff(14786,assumption,(~m_state_v_CVM(c_s, s7, c_idle)), introduced(assumption)).
% 12.66/12.83 tff(14787,assumption,(m_state_v_CVM(c_s, s6, c_idle)), introduced(assumption)).
% 12.66/12.83 tff(14788,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14789,plain,
% 12.66/12.83 (((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle)) <=> (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14790,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14789])).
% 12.66/12.83 tff(14791,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14790, 14788])).
% 12.66/12.83 tff(14792,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14793,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 12.66/12.83 tff(14794,plain,
% 12.66/12.83 ($false),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14793, 12688, 14787, 14786, 14785])).
% 12.66/12.83 tff(14795,plain,((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.83 tff(14796,plain,
% 12.66/12.83 (m_state_v_CVM(c_s, s7, c_idle)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14795, 14784, 14716])).
% 12.66/12.83 tff(14797,assumption,(m_state_v_gvp(c_s, s6, c_sd)), introduced(assumption)).
% 12.66/12.83 tff(14798,plain,
% 12.66/12.83 (~m_state_v_gvp(c_s, s6, c_ovb)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14158, 12300, 14797])).
% 12.66/12.83 tff(14799,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14800,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14801,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14800, 14799])).
% 12.66/12.83 tff(14802,plain,
% 12.66/12.83 (~node83(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14801, 13414, 14798])).
% 12.66/12.83 tff(14803,plain,
% 12.66/12.83 (~m_state_v_gvp(c_s, s6, c_ovf)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[13763, 12396, 14797])).
% 12.66/12.83 tff(14804,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14805,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14806,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 12.66/12.83 tff(14807,plain,
% 12.66/12.83 (~node84(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14806, 13432, 14803])).
% 12.66/12.83 tff(14808,assumption,(~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)), introduced(assumption)).
% 12.66/12.83 tff(14809,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | ((~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14810,plain,
% 12.66/12.83 ((m_state_v_gvp(c_s, s6, c_ovb) | (~node77(c_s, s6))) <=> ((~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14811,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node77(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | ((~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb)))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14810])).
% 12.66/12.83 tff(14812,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node77(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14811, 14809])).
% 12.66/12.83 tff(14813,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node77(c_s, s6)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14814,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (~node77(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb)),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14813, 14812])).
% 12.66/12.83 tff(14815,plain,
% 12.66/12.83 (~node77(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14814, 12385, 14798])).
% 12.66/12.83 tff(14816,plain,
% 12.66/12.83 (~node92(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14162, 12442, 14798])).
% 12.66/12.83 tff(14817,plain,
% 12.66/12.83 (~node95(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14171, 12971, 14803])).
% 12.66/12.83 tff(14818,assumption,(~node96(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14819,assumption,(~node97(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14820,assumption,(m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)), introduced(assumption)).
% 12.66/12.83 tff(14821,assumption,(~node92(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14822,assumption,(m_state_v_CVM(c_s, s6, c_down)), introduced(assumption)).
% 12.66/12.83 tff(14823,plain,
% 12.66/12.83 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_idle)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14824,plain,
% 12.66/12.83 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_idle)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14825,plain,
% 12.66/12.83 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 12.66/12.83 tff(14826,plain,
% 12.66/12.83 (~m_state_v_CVM(c_s, s6, c_idle)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14825, 12809, 14822])).
% 12.66/12.83 tff(14827,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | ((~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14828,plain,
% 12.66/12.83 ((m_state_v_CVM(c_s, s6, c_idle) | (~node94(c_s, s6))) <=> ((~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14829,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~node94(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | ((~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle)))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14828])).
% 12.66/12.83 tff(14830,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~node94(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14829, 14827])).
% 12.66/12.83 tff(14831,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~node94(c_s, s6)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14832,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node94(J0, X)))) | (~node94(c_s, s6)) | m_state_v_CVM(c_s, s6, c_idle)),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 12.66/12.83 tff(14833,plain,
% 12.66/12.83 (~node94(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14832, 12656, 14826])).
% 12.66/12.83 tff(14834,assumption,(~node95(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14835,plain,
% 12.66/12.83 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_up)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14836,plain,
% 12.66/12.83 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_up)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14837,plain,
% 12.66/12.83 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s6, c_down)) | (~m_state_v_CVM(c_s, s6, c_up))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 12.66/12.83 tff(14838,plain,
% 12.66/12.83 (~m_state_v_CVM(c_s, s6, c_up)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14837, 12612, 14822])).
% 12.66/12.83 tff(14839,plain,
% 12.66/12.83 (~node93(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14153, 12798, 14838])).
% 12.66/12.83 tff(14840,plain,
% 12.66/12.83 (node98(c_s, s6, s7)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14446, 14839, 14819, 14818, 14834, 14833, 14821])).
% 12.66/12.83 tff(14841,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14842,plain,
% 12.66/12.83 (((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle))) <=> (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14843,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14842])).
% 12.66/12.83 tff(14844,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7)))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14843, 14841])).
% 12.66/12.83 tff(14845,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14846,plain,
% 12.66/12.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s6, s7))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 12.66/12.83 tff(14847,plain,
% 12.66/12.83 (~m_state_v_CVM(c_s, s7, c_idle)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14846, 12838, 14826, 14840])).
% 12.66/12.83 tff(14848,assumption,(~node84(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14849,assumption,(~node83(c_s, s6)), introduced(assumption)).
% 12.66/12.83 tff(14850,plain,
% 12.66/12.83 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~node85(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s6, c_idle) | (~node85(c_s, s6)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14851,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s6, c_idle) | (~node85(c_s, s6)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14852,plain,
% 12.66/12.83 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s6, c_idle) | (~node85(c_s, s6))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 12.66/12.83 tff(14853,plain,
% 12.66/12.83 (~node85(c_s, s6)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14852, 12153, 14826])).
% 12.66/12.83 tff(14854,plain,
% 12.66/12.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14855,plain,
% 12.66/12.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14856,plain,
% 12.66/12.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7)),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 12.66/12.83 tff(14857,plain,
% 12.66/12.83 (node87(c_s, s6, s7)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14856, 28, 12058, 5162])).
% 12.66/12.83 tff(14858,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14859,plain,
% 12.66/12.83 ((node83(c_s, s6) | node84(c_s, s6) | node85(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7))) <=> (node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14860,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s6) | node84(c_s, s6) | node85(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14859])).
% 12.66/12.83 tff(14861,plain,
% 12.66/12.83 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s6) | node84(c_s, s6) | node85(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))),
% 12.66/12.83 inference(transitivity,[status(thm)],[14860, 14858])).
% 12.66/12.83 tff(14862,plain,
% 12.66/12.83 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s6) | node84(c_s, s6) | node85(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7)))),
% 12.66/12.83 inference(quant_inst,[status(thm)],[])).
% 12.66/12.83 tff(14863,plain,
% 12.66/12.83 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7) | (~node87(c_s, s6, s7))),
% 12.66/12.83 inference(modus_ponens,[status(thm)],[14862, 14861])).
% 12.66/12.83 tff(14864,plain,
% 12.66/12.83 (node85(c_s, s6) | node84(c_s, s6) | node83(c_s, s6) | node86(c_s, s6, s7)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14863, 12167, 14857])).
% 12.66/12.83 tff(14865,plain,
% 12.66/12.83 (node86(c_s, s6, s7)),
% 12.66/12.83 inference(unit_resolution,[status(thm)],[14864, 14853, 14849, 14848])).
% 12.66/12.83 tff(14866,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14867,plain,
% 12.66/12.83 (((~node86(c_s, s6, s7)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7)))),
% 12.66/12.83 inference(rewrite,[status(thm)],[])).
% 12.66/12.83 tff(14868,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s6, s7)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7))))),
% 12.66/12.83 inference(monotonicity,[status(thm)],[14867])).
% 12.66/12.83 tff(14869,plain,
% 12.66/12.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s6, s7)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14868, 14866])).
% 12.66/12.84 tff(14870,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s6, s7)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14871,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | (~node86(c_s, s6, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 12.66/12.84 tff(14872,plain,
% 12.66/12.84 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14871, 13715, 14820, 14865])).
% 12.66/12.84 tff(14873,assumption,(node86(c_s, s7, s8)), introduced(assumption)).
% 12.66/12.84 tff(14874,assumption,(m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)), introduced(assumption)).
% 12.66/12.84 tff(14875,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14876,plain,
% 12.66/12.84 (((~node86(c_s, s7, s8)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14877,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s7, s8)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8))))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14876])).
% 12.66/12.84 tff(14878,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s7, s8)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14877, 14875])).
% 12.66/12.84 tff(14879,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | ((~node86(c_s, s7, s8)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14880,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node86(J0, X, Y)) | (~m_state_v_gripper_status(J0, X, V)) | m_state_v_gripper_status(J0, Y, V))) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node86(c_s, s7, s8))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 12.66/12.84 tff(14881,plain,
% 12.66/12.84 ($false),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14880, 13715, 14874, 14808, 14873])).
% 12.66/12.84 tff(14882,plain,((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node86(c_s, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 12.66/12.84 tff(14883,plain,
% 12.66/12.84 (~node86(c_s, s7, s8)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14882, 14872, 14808])).
% 12.66/12.84 tff(14884,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node84(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node84(c_s, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14885,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node84(c_s, s7)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14886,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node84(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node84(c_s, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 12.66/12.84 tff(14887,plain,
% 12.66/12.84 (~node84(c_s, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14886, 12142, 14786])).
% 12.66/12.84 tff(14888,assumption,(~node86(c_s, s7, s8)), introduced(assumption)).
% 12.66/12.84 tff(14889,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node85(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node85(c_s, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14890,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node85(c_s, s7)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14891,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node85(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node85(c_s, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 12.66/12.84 tff(14892,plain,
% 12.66/12.84 (~node85(c_s, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14891, 12153, 14786])).
% 12.66/12.84 tff(14893,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node83(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node83(c_s, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14894,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | (m_state_v_CVM(c_s, s7, c_idle) | (~node83(c_s, s7)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14895,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node83(J0, X)))) | m_state_v_CVM(c_s, s7, c_idle) | (~node83(c_s, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 12.66/12.84 tff(14896,plain,
% 12.66/12.84 (~node83(c_s, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14895, 12131, 14786])).
% 12.66/12.84 tff(14897,plain,
% 12.66/12.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s7, s8))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14898,plain,
% 12.66/12.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s7, s8))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14899,plain,
% 12.66/12.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s7, s8)),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 12.66/12.84 tff(14900,plain,
% 12.66/12.84 (node87(c_s, s7, s8)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14899, 28, 12058, 5304])).
% 12.66/12.84 tff(14901,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14902,plain,
% 12.66/12.84 ((node83(c_s, s7) | node84(c_s, s7) | node85(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8))) <=> (node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14903,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s7) | node84(c_s, s7) | node85(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8))))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14902])).
% 12.66/12.84 tff(14904,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s7) | node84(c_s, s7) | node85(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14903, 14901])).
% 12.66/12.84 tff(14905,plain,
% 12.66/12.84 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | (node83(c_s, s7) | node84(c_s, s7) | node85(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14906,plain,
% 12.66/12.84 ((~![Y: $i, X: $i, J0: $i] : (node83(J0, X) | node84(J0, X) | node85(J0, X) | node86(J0, X, Y) | (~node87(J0, X, Y)))) | node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8) | (~node87(c_s, s7, s8))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 12.66/12.84 tff(14907,plain,
% 12.66/12.84 (node84(c_s, s7) | node85(c_s, s7) | node83(c_s, s7) | node86(c_s, s7, s8)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14906, 12167, 14900])).
% 12.66/12.84 tff(14908,plain,
% 12.66/12.84 ($false),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14907, 14896, 14892, 14888, 14887])).
% 12.66/12.84 tff(14909,plain,(m_state_v_CVM(c_s, s7, c_idle) | node86(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.84 tff(14910,plain,
% 12.66/12.84 ($false),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14909, 14883, 14847])).
% 12.66/12.84 tff(14911,plain,((~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | node97(c_s, s6) | node96(c_s, s6) | node95(c_s, s6) | node92(c_s, s6) | node83(c_s, s6) | node84(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.84 tff(14912,plain,
% 12.66/12.84 (~m_state_v_CVM(c_s, s6, c_down)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14911, 14808, 14820, 14819, 14818, 14817, 14816, 14802, 14807])).
% 12.66/12.84 tff(14913,plain,
% 12.66/12.84 (node81(c_s, s6, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14549, 14912, 14815])).
% 12.66/12.84 tff(14914,plain,
% 12.66/12.84 (~m_state_v_gvp(c_s, s7, c_ovf)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14557, 12428, 14803, 14913])).
% 12.66/12.84 tff(14915,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node84(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node84(c_s, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14916,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node84(c_s, s7)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14917,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node84(c_s, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 12.66/12.84 tff(14918,plain,
% 12.66/12.84 (~node84(c_s, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14917, 13432, 14914])).
% 12.66/12.84 tff(14919,assumption,(node81(c_s, s6, s7)), introduced(assumption)).
% 12.66/12.84 tff(14920,assumption,(~m_state_v_gvp(c_s, s7, c_sd)), introduced(assumption)).
% 12.66/12.84 tff(14921,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14922,plain,
% 12.66/12.84 (((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd)) <=> ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14923,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7))))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14922])).
% 12.66/12.84 tff(14924,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14923, 14921])).
% 12.66/12.84 tff(14925,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14926,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd) | (~node81(c_s, s6, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 12.66/12.84 tff(14927,plain,
% 12.66/12.84 ($false),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14926, 12343, 14797, 14920, 14919])).
% 12.66/12.84 tff(14928,plain,((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.84 tff(14929,plain,
% 12.66/12.84 (m_state_v_gvp(c_s, s7, c_sd)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14928, 14913, 14797])).
% 12.66/12.84 tff(14930,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14931,plain,
% 12.66/12.84 (((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb))) <=> (m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14932,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7))))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14931])).
% 12.66/12.84 tff(14933,plain,
% 12.66/12.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14932, 14930])).
% 12.66/12.84 tff(14934,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14935,plain,
% 12.66/12.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node81(c_s, s6, s7))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 12.66/12.84 tff(14936,plain,
% 12.66/12.84 (~m_state_v_gvp(c_s, s7, c_ovb)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14935, 12428, 14798, 14913])).
% 12.66/12.84 tff(14937,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | ((~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14938,plain,
% 12.66/12.84 ((m_state_v_gvp(c_s, s7, c_ovb) | (~node83(c_s, s7))) <=> ((~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14939,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node83(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | ((~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb)))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14938])).
% 12.66/12.84 tff(14940,plain,
% 12.66/12.84 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node83(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14939, 14937])).
% 12.66/12.84 tff(14941,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node83(c_s, s7)))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14942,plain,
% 12.66/12.84 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (~node83(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb)),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 12.66/12.84 tff(14943,plain,
% 12.66/12.84 (~node83(c_s, s7)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14942, 13414, 14936])).
% 12.66/12.84 tff(14944,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14945,plain,
% 12.66/12.84 (((~m_state_v_gvp(c_s, s7, c_sd)) | (~m_state_v_CVM(c_s, s7, c_idle)) | node83(c_s, s7) | node84(c_s, s7) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)) <=> ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(rewrite,[status(thm)],[])).
% 12.66/12.84 tff(14946,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | (~m_state_v_CVM(c_s, s7, c_idle)) | node83(c_s, s7) | node84(c_s, s7) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8))))),
% 12.66/12.84 inference(monotonicity,[status(thm)],[14945])).
% 12.66/12.84 tff(14947,plain,
% 12.66/12.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | (~m_state_v_CVM(c_s, s7, c_idle)) | node83(c_s, s7) | node84(c_s, s7) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8)))),
% 12.66/12.84 inference(transitivity,[status(thm)],[14946, 14944])).
% 12.66/12.84 tff(14948,plain,
% 12.66/12.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | (~m_state_v_CVM(c_s, s7, c_idle)) | node83(c_s, s7) | node84(c_s, s7) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))),
% 12.66/12.84 inference(quant_inst,[status(thm)],[])).
% 12.66/12.84 tff(14949,plain,
% 12.66/12.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~node87(c_s, s7, s8))),
% 12.66/12.84 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 12.66/12.84 tff(14950,plain,
% 12.66/12.84 ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node84(c_s, s7) | node83(c_s, s7) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14949, 13450, 14900])).
% 12.66/12.84 tff(14951,plain,
% 12.66/12.84 (~m_state_v_CVM(c_s, s7, c_idle)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14950, 14943, 14808, 14929, 14918])).
% 12.66/12.84 tff(14952,plain,
% 12.66/12.84 (node86(c_s, s7, s8)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14909, 14951])).
% 12.66/12.84 tff(14953,plain,
% 12.66/12.84 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)),
% 12.66/12.84 inference(unit_resolution,[status(thm)],[14882, 14952, 14808])).
% 12.66/12.85 tff(14954,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14955,plain,
% 12.66/12.85 (((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | node92(c_s, s6) | m_state_v_CVM(c_s, s7, c_idle) | (~node99(c_s, s6, s7))) <=> ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14956,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | node92(c_s, s6) | m_state_v_CVM(c_s, s7, c_idle) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7))))),
% 12.66/12.85 inference(monotonicity,[status(thm)],[14955])).
% 12.66/12.85 tff(14957,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | node92(c_s, s6) | m_state_v_CVM(c_s, s7, c_idle) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7)))),
% 12.66/12.85 inference(transitivity,[status(thm)],[14956, 14954])).
% 12.66/12.85 tff(14958,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | node92(c_s, s6) | m_state_v_CVM(c_s, s7, c_idle) | (~node99(c_s, s6, s7)))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14959,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6) | (~node99(c_s, s6, s7))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 12.66/12.85 tff(14960,plain,
% 12.66/12.85 ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_up)) | m_state_v_CVM(c_s, s7, c_idle) | node92(c_s, s6)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14959, 12778, 14439])).
% 12.66/12.85 tff(14961,plain,
% 12.66/12.85 (~m_state_v_CVM(c_s, s6, c_up)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14960, 14951, 14797, 14816])).
% 12.66/12.85 tff(14962,plain,
% 12.66/12.85 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14963,plain,
% 12.66/12.85 ((m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down) | m_state_v_CVM(c_s, s6, c_up)) <=> (m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14964,plain,
% 12.66/12.85 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down) | m_state_v_CVM(c_s, s6, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down)))),
% 12.66/12.85 inference(monotonicity,[status(thm)],[14963])).
% 12.66/12.85 tff(14965,plain,
% 12.66/12.85 (((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down) | m_state_v_CVM(c_s, s6, c_up))) <=> ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down))),
% 12.66/12.85 inference(transitivity,[status(thm)],[14964, 14962])).
% 12.66/12.85 tff(14966,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | (m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down) | m_state_v_CVM(c_s, s6, c_up))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14967,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : (m_state_v_CVM(I0, X, c_idle) | m_state_v_CVM(I0, X, c_down) | m_state_v_CVM(I0, X, c_up))) | m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down)),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 12.66/12.85 tff(14968,plain,
% 12.66/12.85 (m_state_v_CVM(c_s, s6, c_up) | m_state_v_CVM(c_s, s6, c_idle) | m_state_v_CVM(c_s, s6, c_down)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14967, 13031])).
% 12.66/12.85 tff(14969,plain,
% 12.66/12.85 (m_state_v_CVM(c_s, s6, c_idle)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14968, 14961, 14912])).
% 12.66/12.85 tff(14970,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14971,plain,
% 12.66/12.85 (((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14972,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7))))),
% 12.66/12.85 inference(monotonicity,[status(thm)],[14971])).
% 12.66/12.85 tff(14973,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 12.66/12.85 inference(transitivity,[status(thm)],[14972, 14970])).
% 12.66/12.85 tff(14974,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14975,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 12.66/12.85 tff(14976,plain,
% 12.66/12.85 ((~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14975, 13450, 14857])).
% 12.66/12.85 tff(14977,plain,
% 12.66/12.85 ($false),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14976, 14969, 14953, 14807, 14797, 14802])).
% 12.66/12.85 tff(14978,plain,(m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) | node97(c_s, s6) | node96(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.85 tff(14979,plain,
% 12.66/12.85 (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | node97(c_s, s6) | node96(c_s, s6)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14978, 13772])).
% 12.66/12.85 tff(14980,plain,
% 12.66/12.85 (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14979, 14435, 14155, 14167])).
% 12.66/12.85 tff(14981,plain,
% 12.66/12.85 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14982,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14983,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 12.66/12.85 tff(14984,plain,
% 12.66/12.85 (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14983, 12201, 14980])).
% 12.66/12.85 tff(14985,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14986,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14987,plain,
% 12.66/12.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb)) | (~node87(c_s, s7, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 12.66/12.85 tff(14988,plain,
% 12.66/12.85 ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14987, 12190, 14900])).
% 12.66/12.85 tff(14989,plain,
% 12.66/12.85 ((~m_state_v_CVM(c_s, s7, c_idle)) | (~m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14988, 14984])).
% 12.66/12.85 tff(14990,plain,
% 12.66/12.85 (~m_state_v_gvp(c_s, s7, c_ovb)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14989, 14796])).
% 12.66/12.85 tff(14991,plain,
% 12.66/12.85 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node77(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node77(c_s, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(14992,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node77(c_s, s7)))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(14993,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node77(c_s, s7))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 12.66/12.85 tff(14994,plain,
% 12.66/12.85 (~node77(c_s, s7)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14993, 12385, 14990])).
% 12.66/12.85 tff(14995,plain,
% 12.66/12.85 (~node83(c_s, s6)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14801, 13414, 14159])).
% 12.66/12.85 tff(14996,plain,
% 12.66/12.85 (~node84(c_s, s6)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14806, 13432, 14168])).
% 12.66/12.85 tff(14997,plain,
% 12.66/12.85 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle))),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14976, 14155, 14996, 14995])).
% 12.66/12.85 tff(14998,plain,
% 12.66/12.85 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14997, 14784])).
% 12.66/12.85 tff(14999,plain,
% 12.66/12.85 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15000,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(15001,plain,
% 12.66/12.85 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 12.66/12.85 tff(15002,plain,
% 12.66/12.85 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15001, 13519, 14998])).
% 12.66/12.85 tff(15003,plain,
% 12.66/12.85 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15004,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(15005,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 12.66/12.85 tff(15006,plain,
% 12.66/12.85 (~node79(c_s, s7)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15005, 13587, 15002])).
% 12.66/12.85 tff(15007,assumption,(~m_state_v_gvp(c_s, s8, c_sd)), introduced(assumption)).
% 12.66/12.85 tff(15008,plain,
% 12.66/12.85 (~m_state_v_CVM(c_s, s6, c_down)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14466, 12838, 14123, 14773])).
% 12.66/12.85 tff(15009,plain,
% 12.66/12.85 (node81(c_s, s6, s7)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14550, 15008])).
% 12.66/12.85 tff(15010,plain,
% 12.66/12.85 ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s7, c_sd)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14928, 14155])).
% 12.66/12.85 tff(15011,plain,
% 12.66/12.85 (m_state_v_gvp(c_s, s7, c_sd)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15010, 15009])).
% 12.66/12.85 tff(15012,assumption,(node81(c_s, s7, s8)), introduced(assumption)).
% 12.66/12.85 tff(15013,assumption,(m_state_v_gvp(c_s, s7, c_sd)), introduced(assumption)).
% 12.66/12.85 tff(15014,plain,
% 12.66/12.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15015,plain,
% 12.66/12.85 (((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd)) <=> (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15016,plain,
% 12.66/12.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8))))),
% 12.66/12.85 inference(monotonicity,[status(thm)],[15015])).
% 12.66/12.85 tff(15017,plain,
% 12.66/12.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.66/12.85 inference(transitivity,[status(thm)],[15016, 15014])).
% 12.66/12.85 tff(15018,plain,
% 12.66/12.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(15019,plain,
% 12.66/12.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 12.66/12.85 tff(15020,plain,
% 12.66/12.85 ($false),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15019, 12343, 15007, 15013, 15012])).
% 12.66/12.85 tff(15021,plain,((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd))), inference(lemma,lemma(discharge,[]))).
% 12.66/12.85 tff(15022,plain,
% 12.66/12.85 (~node81(c_s, s7, s8)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15021, 15011, 15007])).
% 12.66/12.85 tff(15023,plain,
% 12.66/12.85 (~m_state_v_CVM(c_s, s7, c_up)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[14455, 12838, 14712, 14716])).
% 12.66/12.85 tff(15024,plain,
% 12.66/12.85 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node80(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node80(c_s, s7)))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15025,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node80(c_s, s7)))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(15026,plain,
% 12.66/12.85 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node80(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node80(c_s, s7))),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 12.66/12.85 tff(15027,plain,
% 12.66/12.85 (~node80(c_s, s7)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15026, 12908, 15023])).
% 12.66/12.85 tff(15028,plain,
% 12.66/12.85 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))),
% 12.66/12.85 inference(rewrite,[status(thm)],[])).
% 12.66/12.85 tff(15029,plain,
% 12.66/12.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))),
% 12.66/12.85 inference(quant_inst,[status(thm)],[])).
% 12.66/12.85 tff(15030,plain,
% 12.66/12.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8)),
% 12.66/12.85 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 12.66/12.85 tff(15031,plain,
% 12.66/12.85 (node82(c_s, s7, s8)),
% 12.66/12.85 inference(unit_resolution,[status(thm)],[15030, 28, 12044, 5304])).
% 12.66/12.85 tff(15032,plain,
% 12.66/12.85 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15033,plain,
% 12.66/12.86 ((node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8))) <=> (node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15034,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8)))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15033])).
% 12.66/12.86 tff(15035,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15034, 15032])).
% 12.66/12.86 tff(15036,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15037,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | (~node82(c_s, s7, s8)) | node81(c_s, s7, s8)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 12.66/12.86 tff(15038,plain,
% 12.66/12.86 (node80(c_s, s7) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node81(c_s, s7, s8)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15037, 12326, 15031])).
% 12.66/12.86 tff(15039,plain,
% 12.66/12.86 (node78(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15038, 15027, 15022, 15006, 14994])).
% 12.66/12.86 tff(15040,plain,
% 12.66/12.86 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_CVM(c_s, s7, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_CVM(c_s, s7, c_idle)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15041,plain,
% 12.66/12.86 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_CVM(c_s, s7, c_idle)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15042,plain,
% 12.66/12.86 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_CVM(c_s, s7, c_idle))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 12.66/12.86 tff(15043,plain,
% 12.66/12.86 (~m_state_v_CVM(c_s, s7, c_down)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15042, 12809, 14796])).
% 12.66/12.86 tff(15044,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15045,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15046,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 12.66/12.86 tff(15047,plain,
% 12.66/12.86 ($false),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15046, 12897, 15043, 15039])).
% 12.66/12.86 tff(15048,plain,(m_state_v_ff(c_s, s6) | m_state_v_gvp(c_s, s8, c_sd) | m_state_v_CVM(c_s, s6, c_up)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.86 tff(15049,plain,
% 12.66/12.86 (m_state_v_ff(c_s, s6) | m_state_v_gvp(c_s, s8, c_sd)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15048, 14150])).
% 12.66/12.86 tff(15050,plain,
% 12.66/12.86 (m_state_v_gvp(c_s, s8, c_sd)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15049, 13861])).
% 12.66/12.86 tff(15051,plain,
% 12.66/12.86 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s8, c_ovf)) | (~m_state_v_gvp(c_s, s8, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s8, c_ovf)) | (~m_state_v_gvp(c_s, s8, c_sd)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15052,plain,
% 12.66/12.86 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s8, c_ovf)) | (~m_state_v_gvp(c_s, s8, c_sd)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15053,plain,
% 12.66/12.86 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s8, c_ovf)) | (~m_state_v_gvp(c_s, s8, c_sd))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 12.66/12.86 tff(15054,plain,
% 12.66/12.86 (~m_state_v_gvp(c_s, s8, c_ovf)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15053, 12396, 15050])).
% 12.66/12.86 tff(15055,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node102(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node102(c_s, s8)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15056,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node102(c_s, s8)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15057,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node102(c_s, s8))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 12.66/12.86 tff(15058,plain,
% 12.66/12.86 (~node102(c_s, s8)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15057, 14190, 15054])).
% 12.66/12.86 tff(15059,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15060,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15061,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 12.66/12.86 tff(15062,plain,
% 12.66/12.86 (~node13(c_s, s6)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15061, 12013, 8908])).
% 12.66/12.86 tff(15063,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15064,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15065,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovf)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 12.66/12.86 tff(15066,plain,
% 12.66/12.86 (~node14(c_s, s6)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15065, 13271, 14168])).
% 12.66/12.86 tff(15067,plain,
% 12.66/12.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15068,plain,
% 12.66/12.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15069,plain,
% 12.66/12.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 12.66/12.86 tff(15070,plain,
% 12.66/12.86 (node16(c_s, s6, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15069, 2055, 13071, 5162])).
% 12.66/12.86 tff(15071,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15072,plain,
% 12.66/12.86 ((node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7))) <=> (node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15073,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6)))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15072])).
% 12.66/12.86 tff(15074,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15073, 15071])).
% 12.66/12.86 tff(15075,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15076,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s6) | (~node16(c_s, s6, s7)) | node15(c_s, s6, s7) | node13(c_s, s6)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 12.66/12.86 tff(15077,plain,
% 12.66/12.86 (node14(c_s, s6) | node15(c_s, s6, s7) | node13(c_s, s6)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15076, 13106, 15070])).
% 12.66/12.86 tff(15078,plain,
% 12.66/12.86 (node15(c_s, s6, s7) | node13(c_s, s6)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15077, 15066])).
% 12.66/12.86 tff(15079,plain,
% 12.66/12.86 (node15(c_s, s6, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15078, 15062])).
% 12.66/12.86 tff(15080,assumption,(node15(c_s, s6, s7)), introduced(assumption)).
% 12.66/12.86 tff(15081,assumption,(m_state_v_ff(c_s, s7)), introduced(assumption)).
% 12.66/12.86 tff(15082,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15083,plain,
% 12.66/12.86 (((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7))) <=> (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15084,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7))))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15083])).
% 12.66/12.86 tff(15085,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7)))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15084, 15082])).
% 12.66/12.86 tff(15086,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15087,plain,
% 12.66/12.86 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)) | (~node15(c_s, s6, s7))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15086, 15085])).
% 12.66/12.86 tff(15088,plain,
% 12.66/12.86 ($false),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15087, 13123, 15081, 14714, 15080])).
% 12.66/12.86 tff(15089,plain,((~node15(c_s, s6, s7)) | (~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.86 tff(15090,plain,
% 12.66/12.86 (~m_state_v_ff(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15089, 15079, 13861])).
% 12.66/12.86 tff(15091,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s7)) | m_state_v_ff(c_s, s7))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s7)) | m_state_v_ff(c_s, s7))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15092,plain,
% 12.66/12.86 ((m_state_v_ff(c_s, s7) | (~node94(c_s, s7))) <=> ((~node94(c_s, s7)) | m_state_v_ff(c_s, s7))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15093,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s7)) | m_state_v_ff(c_s, s7)))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15092])).
% 12.66/12.86 tff(15094,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s7)) | m_state_v_ff(c_s, s7))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15093, 15091])).
% 12.66/12.86 tff(15095,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15096,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s7)) | m_state_v_ff(c_s, s7)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15095, 15094])).
% 12.66/12.86 tff(15097,plain,
% 12.66/12.86 (~node94(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15096, 13341, 15090])).
% 12.66/12.86 tff(15098,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15099,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15100,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 12.66/12.86 tff(15101,plain,
% 12.66/12.86 (~node93(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15100, 12798, 14456])).
% 12.66/12.86 tff(15102,plain,
% 12.66/12.86 (~m_state_v_gvp(c_s, s7, c_ovb)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[14935, 12428, 14159, 14551])).
% 12.66/12.86 tff(15103,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | ((~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15104,plain,
% 12.66/12.86 ((m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7))) <=> ((~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15105,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | ((~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb)))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15104])).
% 12.66/12.86 tff(15106,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15105, 15103])).
% 12.66/12.86 tff(15107,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15108,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (~node92(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovb)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 12.66/12.86 tff(15109,plain,
% 12.66/12.86 (~node92(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15108, 12442, 15102])).
% 12.66/12.86 tff(15110,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node95(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node95(c_s, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15111,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node95(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15112,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node95(c_s, s7))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 12.66/12.86 tff(15113,plain,
% 12.66/12.86 (~node95(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15112, 12971, 14560])).
% 12.66/12.86 tff(15114,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15115,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15116,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s7) | (~node96(c_s, s7))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15115, 15114])).
% 12.66/12.86 tff(15117,plain,
% 12.66/12.86 (~node96(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15116, 12883, 14676])).
% 12.66/12.86 tff(15118,plain,
% 12.66/12.86 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node97(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | m_state_v_gob(c_s, s7) | (~node97(c_s, s7)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15119,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node97(c_s, s7)))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15120,plain,
% 12.66/12.86 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | m_state_v_gob(c_s, s7) | (~node97(c_s, s7))),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15119, 15118])).
% 12.66/12.86 tff(15121,plain,
% 12.66/12.86 (~node97(c_s, s7)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15120, 12982, 14676])).
% 12.66/12.86 tff(15122,plain,
% 12.66/12.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15123,plain,
% 12.66/12.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))),
% 12.66/12.86 inference(quant_inst,[status(thm)],[])).
% 12.66/12.86 tff(15124,plain,
% 12.66/12.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8)),
% 12.66/12.86 inference(modus_ponens,[status(thm)],[15123, 15122])).
% 12.66/12.86 tff(15125,plain,
% 12.66/12.86 (node99(c_s, s7, s8)),
% 12.66/12.86 inference(unit_resolution,[status(thm)],[15124, 12030, 12027, 5304])).
% 12.66/12.86 tff(15126,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15127,plain,
% 12.66/12.86 ((node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8))) <=> (node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))),
% 12.66/12.86 inference(rewrite,[status(thm)],[])).
% 12.66/12.86 tff(15128,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8))))),
% 12.66/12.86 inference(monotonicity,[status(thm)],[15127])).
% 12.66/12.86 tff(15129,plain,
% 12.66/12.86 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))),
% 12.66/12.86 inference(transitivity,[status(thm)],[15128, 15126])).
% 12.66/12.86 tff(15130,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15131,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15130, 15129])).
% 12.66/12.87 tff(15132,plain,
% 12.66/12.87 (node94(c_s, s7) | node92(c_s, s7) | node97(c_s, s7) | node96(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15131, 12670, 15125])).
% 12.66/12.87 tff(15133,plain,
% 12.66/12.87 (node94(c_s, s7) | node92(c_s, s7) | node93(c_s, s7) | node95(c_s, s7) | node98(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15132, 15121, 15117])).
% 12.66/12.87 tff(15134,plain,
% 12.66/12.87 (node94(c_s, s7) | node93(c_s, s7) | node98(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15133, 15113, 15109])).
% 12.66/12.87 tff(15135,plain,
% 12.66/12.87 (node98(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15134, 15101, 15097])).
% 12.66/12.87 tff(15136,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15137,plain,
% 12.66/12.87 (((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up))) <=> ((~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15138,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15137])).
% 12.66/12.87 tff(15139,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15138, 15136])).
% 12.66/12.87 tff(15140,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15141,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s8, c_up)) | m_state_v_CVM(c_s, s7, c_up) | (~node98(c_s, s7, s8))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 12.66/12.87 tff(15142,plain,
% 12.66/12.87 (~m_state_v_CVM(c_s, s8, c_up)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15141, 12838, 14456, 15135])).
% 12.66/12.87 tff(15143,plain,
% 12.66/12.87 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node100(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node100(c_s, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15144,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node100(c_s, s8)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15145,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node100(c_s, s8))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 12.66/12.87 tff(15146,plain,
% 12.66/12.87 (~node100(c_s, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15145, 14044, 15142])).
% 12.66/12.87 tff(15147,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15148,plain,
% 12.66/12.87 (((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt))) <=> (m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15149,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15148])).
% 12.66/12.87 tff(15150,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15149, 15147])).
% 12.66/12.87 tff(15151,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15152,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | (~node104(c_s, s6, s7))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 12.66/12.87 tff(15153,plain,
% 12.66/12.87 (~m_state_v_CHM(c_s, s7, c_todepbelt)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15152, 12562, 14431, 14603])).
% 12.66/12.87 tff(15154,plain,
% 12.66/12.87 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15155,plain,
% 12.66/12.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15156,plain,
% 12.66/12.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8)),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 12.66/12.87 tff(15157,plain,
% 12.66/12.87 (node74(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15156, 28, 12855, 5304])).
% 12.66/12.87 tff(15158,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15159,plain,
% 12.66/12.87 ((node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15160,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8)))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15159])).
% 12.66/12.87 tff(15161,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15160, 15158])).
% 12.66/12.87 tff(15162,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15163,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | (~node74(c_s, s7, s8)) | node73(c_s, s7, s8)),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15162, 15161])).
% 12.66/12.87 tff(15164,plain,
% 12.66/12.87 (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15163, 14631, 15157])).
% 12.66/12.87 tff(15165,plain,
% 12.66/12.87 (node73(c_s, s7, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15164, 14610, 15153])).
% 12.66/12.87 tff(15166,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15167,plain,
% 12.66/12.87 (((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8))) <=> (m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15168,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15167])).
% 12.66/12.87 tff(15169,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15168, 15166])).
% 12.66/12.87 tff(15170,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15171,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)) | (~m_state_v_gob(c_s, s8))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 12.66/12.87 tff(15172,plain,
% 12.66/12.87 (~m_state_v_gob(c_s, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15171, 14649, 14676, 15165])).
% 12.66/12.87 tff(15173,plain,
% 12.66/12.87 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node103(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s8) | (~node103(c_s, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15174,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node103(c_s, s8)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15175,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s8) | (~node103(c_s, s8))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15174, 15173])).
% 12.66/12.87 tff(15176,plain,
% 12.66/12.87 (~node103(c_s, s8)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15175, 14271, 15172])).
% 12.66/12.87 tff(15177,plain,
% 12.66/12.87 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s8, s9))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15178,plain,
% 12.66/12.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s8, s9))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15179,plain,
% 12.66/12.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s8, s9)),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15178, 15177])).
% 12.66/12.87 tff(15180,plain,
% 12.66/12.87 (node105(c_s, s8, s9)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15179, 12030, 12456, 5508])).
% 12.66/12.87 tff(15181,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15182,plain,
% 12.66/12.87 ((node101(c_s, s8) | node100(c_s, s8) | node102(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9))) <=> (node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15183,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s8) | node100(c_s, s8) | node102(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15182])).
% 12.66/12.87 tff(15184,plain,
% 12.66/12.87 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s8) | node100(c_s, s8) | node102(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15183, 15181])).
% 12.66/12.87 tff(15185,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s8) | node100(c_s, s8) | node102(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15186,plain,
% 12.66/12.87 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9) | (~node105(c_s, s8, s9))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 12.66/12.87 tff(15187,plain,
% 12.66/12.87 (node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node103(c_s, s8) | node104(c_s, s8, s9)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15186, 12545, 15180])).
% 12.66/12.87 tff(15188,plain,
% 12.66/12.87 (node102(c_s, s8) | node100(c_s, s8) | node101(c_s, s8) | node104(c_s, s8, s9)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15187, 15176])).
% 12.66/12.87 tff(15189,plain,
% 12.66/12.87 (node104(c_s, s8, s9)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15188, 15146, 15058, 14711])).
% 12.66/12.87 tff(15190,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15191,plain,
% 12.66/12.87 (((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt))) <=> ((~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15192,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15191])).
% 12.66/12.87 tff(15193,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15192, 15190])).
% 12.66/12.87 tff(15194,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15195,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_tofeedbelt)) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node104(c_s, s8, s9))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 12.66/12.87 tff(15196,plain,
% 12.66/12.87 (~m_state_v_CHM(c_s, s9, c_tofeedbelt)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15195, 12562, 14707, 15189])).
% 12.66/12.87 tff(15197,plain,
% 12.66/12.87 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~node101(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~node101(c_s, s9)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15198,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~node101(c_s, s9)))),
% 12.66/12.87 inference(quant_inst,[status(thm)],[])).
% 12.66/12.87 tff(15199,plain,
% 12.66/12.87 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~node101(c_s, s9))),
% 12.66/12.87 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 12.66/12.87 tff(15200,plain,
% 12.66/12.87 (~node101(c_s, s9)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15199, 14239, 15196])).
% 12.66/12.87 tff(15201,plain,
% 12.66/12.87 (m_state_v_CVM(c_s, s6, c_idle)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[14783, 14143])).
% 12.66/12.87 tff(15202,plain,
% 12.66/12.87 ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s7, c_idle)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[14795, 15201])).
% 12.66/12.87 tff(15203,plain,
% 12.66/12.87 (m_state_v_CVM(c_s, s7, c_idle)),
% 12.66/12.87 inference(unit_resolution,[status(thm)],[15202, 14449])).
% 12.66/12.87 tff(15204,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15205,plain,
% 12.66/12.87 (((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle)) <=> (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(rewrite,[status(thm)],[])).
% 12.66/12.87 tff(15206,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8))))),
% 12.66/12.87 inference(monotonicity,[status(thm)],[15205])).
% 12.66/12.87 tff(15207,plain,
% 12.66/12.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 12.66/12.87 inference(transitivity,[status(thm)],[15206, 15204])).
% 12.66/12.87 tff(15208,plain,
% 12.66/12.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15209,plain,
% 12.66/12.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15208, 15207])).
% 12.66/12.88 tff(15210,plain,
% 12.66/12.88 (m_state_v_CVM(c_s, s8, c_idle)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15209, 12688, 15203, 15135])).
% 12.66/12.88 tff(15211,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15212,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15213,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 12.66/12.88 tff(15214,plain,
% 12.66/12.88 (~node93(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15213, 12798, 15142])).
% 12.66/12.88 tff(15215,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15216,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15217,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 12.66/12.88 tff(15218,plain,
% 12.66/12.88 (~node95(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15217, 12971, 15054])).
% 12.66/12.88 tff(15219,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15220,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15221,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 12.66/12.88 tff(15222,plain,
% 12.66/12.88 (~node13(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15221, 12013, 8939])).
% 12.66/12.88 tff(15223,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovf))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15224,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovf))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15225,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s7)) | m_state_v_gvp(c_s, s7, c_ovf)),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 12.66/12.88 tff(15226,plain,
% 12.66/12.88 (~node14(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15225, 13271, 14560])).
% 12.66/12.88 tff(15227,assumption,(~node16(c_s, s7, s8)), introduced(assumption)).
% 12.66/12.88 tff(15228,plain,
% 12.66/12.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15229,plain,
% 12.66/12.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15230,plain,
% 12.66/12.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8)),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 12.66/12.88 tff(15231,plain,
% 12.66/12.88 ($false),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15230, 2055, 13071, 5304, 15227])).
% 12.66/12.88 tff(15232,plain,(node16(c_s, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.88 tff(15233,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15234,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15235,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15234, 15233])).
% 12.66/12.88 tff(15236,plain,
% 12.66/12.88 (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15235, 13106, 15232])).
% 12.66/12.88 tff(15237,plain,
% 12.66/12.88 (node13(c_s, s7) | node15(c_s, s7, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15236, 15226])).
% 12.66/12.88 tff(15238,plain,
% 12.66/12.88 (node15(c_s, s7, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15237, 15222])).
% 12.66/12.88 tff(15239,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15240,plain,
% 12.66/12.88 (((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8))) <=> (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15241,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8))))),
% 12.66/12.88 inference(monotonicity,[status(thm)],[15240])).
% 12.66/12.88 tff(15242,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 12.66/12.88 inference(transitivity,[status(thm)],[15241, 15239])).
% 12.66/12.88 tff(15243,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15244,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 12.66/12.88 tff(15245,plain,
% 12.66/12.88 (~m_state_v_ff(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15244, 13123, 15090, 15238])).
% 12.66/12.88 tff(15246,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15247,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15248,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s8) | (~node94(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 12.66/12.88 tff(15249,plain,
% 12.66/12.88 (~node94(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15248, 13341, 15245])).
% 12.66/12.88 tff(15250,plain,
% 12.66/12.88 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[14997, 15201])).
% 12.66/12.88 tff(15251,plain,
% 12.66/12.88 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15001, 13519, 15250])).
% 12.66/12.88 tff(15252,plain,
% 12.66/12.88 (~node79(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15005, 13587, 15251])).
% 12.66/12.88 tff(15253,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15254,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15255,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15254, 15253])).
% 12.66/12.88 tff(15256,plain,
% 12.66/12.88 (~node80(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15255, 13537, 15251])).
% 12.66/12.88 tff(15257,plain,
% 12.66/12.88 (m_state_v_gvp(c_s, s7, c_sd)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15010, 14551])).
% 12.66/12.88 tff(15258,plain,
% 12.66/12.88 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15259,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15260,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 12.66/12.88 tff(15261,plain,
% 12.66/12.88 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15260, 12201, 15250])).
% 12.66/12.88 tff(15262,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15263,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15264,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 12.66/12.88 tff(15265,plain,
% 12.66/12.88 (~node77(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15264, 14477, 15261])).
% 12.66/12.88 tff(15266,assumption,(~node77(c_s, s7)), introduced(assumption)).
% 12.66/12.88 tff(15267,assumption,(~node79(c_s, s7)), introduced(assumption)).
% 12.66/12.88 tff(15268,assumption,(~node80(c_s, s7)), introduced(assumption)).
% 12.66/12.88 tff(15269,assumption,(m_state_v_gvp(c_s, s8, c_ovb)), introduced(assumption)).
% 12.66/12.88 tff(15270,plain,
% 12.66/12.88 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_ovf)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15271,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15272,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_ovf))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 12.66/12.88 tff(15273,plain,
% 12.66/12.88 (~m_state_v_gvp(c_s, s8, c_ovf)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15272, 12267, 15269])).
% 12.66/12.88 tff(15274,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15275,plain,
% 12.66/12.88 (((~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~node82(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15276,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~node82(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8))))),
% 12.66/12.88 inference(monotonicity,[status(thm)],[15275])).
% 12.66/12.88 tff(15277,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~node82(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8)))),
% 12.66/12.88 inference(transitivity,[status(thm)],[15276, 15274])).
% 12.66/12.88 tff(15278,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~node82(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15279,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) | (~node82(c_s, s7, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15278, 15277])).
% 12.66/12.88 tff(15280,plain,
% 12.66/12.88 (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s7, c_sd)) | node77(c_s, s7) | (~m_state_v_CVM(c_s, s7, c_down)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15279, 13552, 15031])).
% 12.66/12.88 tff(15281,plain,
% 12.66/12.88 (~m_state_v_CVM(c_s, s7, c_down)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15280, 15273, 15013, 14874, 15266])).
% 12.66/12.88 tff(15282,plain,
% 12.66/12.88 (~node78(c_s, s7)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15046, 12897, 15281])).
% 12.66/12.88 tff(15283,plain,
% 12.66/12.88 (node81(c_s, s7, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15038, 15282, 15268, 15267, 15266])).
% 12.66/12.88 tff(15284,plain,
% 12.66/12.88 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_sd)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15285,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_sd)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15286,plain,
% 12.66/12.88 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s8, c_sd))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15285, 15284])).
% 12.66/12.88 tff(15287,plain,
% 12.66/12.88 (~m_state_v_gvp(c_s, s8, c_sd)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15286, 12300, 15269])).
% 12.66/12.88 tff(15288,plain,
% 12.66/12.88 ($false),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15019, 12343, 15287, 15013, 15283])).
% 12.66/12.88 tff(15289,plain,((~m_state_v_gvp(c_s, s8, c_ovb)) | (~m_state_v_gvp(c_s, s7, c_sd)) | node80(c_s, s7) | node79(c_s, s7) | node77(c_s, s7) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))), inference(lemma,lemma(discharge,[]))).
% 12.66/12.88 tff(15290,plain,
% 12.66/12.88 (~m_state_v_gvp(c_s, s8, c_ovb)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15289, 15265, 15257, 15256, 15252, 15250])).
% 12.66/12.88 tff(15291,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15292,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15293,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 12.66/12.88 tff(15294,plain,
% 12.66/12.88 (~node92(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15293, 12442, 15290])).
% 12.66/12.88 tff(15295,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15296,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15297,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s8) | (~node96(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 12.66/12.88 tff(15298,plain,
% 12.66/12.88 (~node96(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15297, 12883, 15172])).
% 12.66/12.88 tff(15299,plain,
% 12.66/12.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15300,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15301,plain,
% 12.66/12.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8))),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 12.66/12.88 tff(15302,plain,
% 12.66/12.88 (~node97(c_s, s8)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15301, 14107, 15290])).
% 12.66/12.88 tff(15303,assumption,(~node99(c_s, s8, s9)), introduced(assumption)).
% 12.66/12.88 tff(15304,plain,
% 12.66/12.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15305,plain,
% 12.66/12.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15306,plain,
% 12.66/12.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9)),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 12.66/12.88 tff(15307,plain,
% 12.66/12.88 ($false),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15306, 12030, 12027, 5508, 15303])).
% 12.66/12.88 tff(15308,plain,(node99(c_s, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.88 tff(15309,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15310,plain,
% 12.66/12.88 ((node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9))) <=> (node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 12.66/12.88 inference(rewrite,[status(thm)],[])).
% 12.66/12.88 tff(15311,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9)))),
% 12.66/12.88 inference(monotonicity,[status(thm)],[15310])).
% 12.66/12.88 tff(15312,plain,
% 12.66/12.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 12.66/12.88 inference(transitivity,[status(thm)],[15311, 15309])).
% 12.66/12.88 tff(15313,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))),
% 12.66/12.88 inference(quant_inst,[status(thm)],[])).
% 12.66/12.88 tff(15314,plain,
% 12.66/12.88 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9)),
% 12.66/12.88 inference(modus_ponens,[status(thm)],[15313, 15312])).
% 12.66/12.88 tff(15315,plain,
% 12.66/12.88 (node92(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15314, 12670, 15308])).
% 12.66/12.88 tff(15316,plain,
% 12.66/12.88 (node94(c_s, s8) | node93(c_s, s8) | node95(c_s, s8) | node98(c_s, s8, s9)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15315, 15302, 15298, 15294])).
% 12.66/12.88 tff(15317,plain,
% 12.66/12.88 (node98(c_s, s8, s9)),
% 12.66/12.88 inference(unit_resolution,[status(thm)],[15316, 15249, 15218, 15214])).
% 12.66/12.89 tff(15318,assumption,(node98(c_s, s8, s9)), introduced(assumption)).
% 12.66/12.89 tff(15319,assumption,(m_state_v_CVM(c_s, s8, c_idle)), introduced(assumption)).
% 12.66/12.89 tff(15320,assumption,(~m_state_v_CVM(c_s, s9, c_idle)), introduced(assumption)).
% 12.66/12.89 tff(15321,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15322,plain,
% 12.66/12.89 (((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle)) <=> (m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15323,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9))))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15322])).
% 12.66/12.89 tff(15324,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9)))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15323, 15321])).
% 12.66/12.89 tff(15325,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15326,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle)) | (~node98(c_s, s8, s9))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15325, 15324])).
% 12.66/12.89 tff(15327,plain,
% 12.66/12.89 ($false),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15326, 12688, 15320, 15319, 15318])).
% 12.66/12.89 tff(15328,plain,((~node98(c_s, s8, s9)) | m_state_v_CVM(c_s, s9, c_idle) | (~m_state_v_CVM(c_s, s8, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.66/12.89 tff(15329,plain,
% 12.66/12.89 (m_state_v_CVM(c_s, s9, c_idle)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15328, 15317, 15210])).
% 12.66/12.89 tff(15330,plain,
% 12.66/12.89 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s9, c_up)) | (~m_state_v_CVM(c_s, s9, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s9, c_up)) | (~m_state_v_CVM(c_s, s9, c_idle)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15331,plain,
% 12.66/12.89 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s9, c_up)) | (~m_state_v_CVM(c_s, s9, c_idle)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15332,plain,
% 12.66/12.89 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s9, c_up)) | (~m_state_v_CVM(c_s, s9, c_idle))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15331, 15330])).
% 12.66/12.89 tff(15333,plain,
% 12.66/12.89 ((~m_state_v_CVM(c_s, s9, c_up)) | (~m_state_v_CVM(c_s, s9, c_idle))),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15332, 12117])).
% 12.66/12.89 tff(15334,plain,
% 12.66/12.89 (~m_state_v_CVM(c_s, s9, c_up)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15333, 15329])).
% 12.66/12.89 tff(15335,plain,
% 12.66/12.89 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s9, c_up) | (~node100(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s9, c_up) | (~node100(c_s, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15336,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s9, c_up) | (~node100(c_s, s9)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15337,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s9, c_up) | (~node100(c_s, s9))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15336, 15335])).
% 12.66/12.89 tff(15338,plain,
% 12.66/12.89 (~node100(c_s, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15337, 14044, 15334])).
% 12.66/12.89 tff(15339,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15340,plain,
% 12.66/12.89 (((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt))) <=> (m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15341,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8))))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15340])).
% 12.66/12.89 tff(15342,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8)))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15341, 15339])).
% 12.66/12.89 tff(15343,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15344,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s7, c_todepbelt) | (~m_state_v_CHM(c_s, s8, c_todepbelt)) | (~node104(c_s, s7, s8))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15343, 15342])).
% 12.66/12.89 tff(15345,plain,
% 12.66/12.89 (~m_state_v_CHM(c_s, s8, c_todepbelt)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15344, 12562, 15153, 14694])).
% 12.66/12.89 tff(15346,plain,
% 12.66/12.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s8, s9))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15347,plain,
% 12.66/12.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s8, s9))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15348,plain,
% 12.66/12.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s8, s9)),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 12.66/12.89 tff(15349,plain,
% 12.66/12.89 (node74(c_s, s8, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15348, 28, 12855, 5508])).
% 12.66/12.89 tff(15350,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15351,plain,
% 12.66/12.89 ((node73(c_s, s8, s9) | (~node74(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15352,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s8, s9) | (~node74(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9)))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15351])).
% 12.66/12.89 tff(15353,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s8, s9) | (~node74(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15352, 15350])).
% 12.66/12.89 tff(15354,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s8, s9) | (~node74(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15355,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | (~node74(c_s, s8, s9)) | node73(c_s, s8, s9)),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 12.66/12.89 tff(15356,plain,
% 12.66/12.89 (m_state_v_CHM(c_s, s8, c_todepbelt) | m_state_v_CHM(c_s, s8, c_tofeedbelt) | node73(c_s, s8, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15355, 14631, 15349])).
% 12.66/12.89 tff(15357,plain,
% 12.66/12.89 (node73(c_s, s8, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15356, 15345, 14707])).
% 12.66/12.89 tff(15358,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15359,plain,
% 12.66/12.89 (((~node73(c_s, s8, s9)) | m_state_v_gob(c_s, s8) | (~m_state_v_gob(c_s, s9))) <=> ((~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15360,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s8, s9)) | m_state_v_gob(c_s, s8) | (~m_state_v_gob(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9))))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15359])).
% 12.66/12.89 tff(15361,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s8, s9)) | m_state_v_gob(c_s, s8) | (~m_state_v_gob(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9)))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15360, 15358])).
% 12.66/12.89 tff(15362,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s8, s9)) | m_state_v_gob(c_s, s8) | (~m_state_v_gob(c_s, s9)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15363,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s9)) | m_state_v_gob(c_s, s8) | (~node73(c_s, s8, s9))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15362, 15361])).
% 12.66/12.89 tff(15364,plain,
% 12.66/12.89 (~m_state_v_gob(c_s, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15363, 14649, 15172, 15357])).
% 12.66/12.89 tff(15365,plain,
% 12.66/12.89 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s9) | (~node103(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s9) | (~node103(c_s, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15366,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s9) | (~node103(c_s, s9)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15367,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s9) | (~node103(c_s, s9))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15366, 15365])).
% 12.66/12.89 tff(15368,plain,
% 12.66/12.89 (~node103(c_s, s9)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15367, 14271, 15364])).
% 12.66/12.89 tff(15369,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15370,plain,
% 12.66/12.89 (((~node104(c_s, s9, s3)) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15371,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s9, s3)) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3))))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15370])).
% 12.66/12.89 tff(15372,plain,
% 12.66/12.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s9, s3)) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3)))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15371, 15369])).
% 12.66/12.89 tff(15373,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s9, s3)) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15374,plain,
% 12.66/12.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s9, s3))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 12.66/12.89 tff(15375,plain,
% 12.66/12.89 (m_state_v_CHM(c_s, s9, c_tofeedbelt) | (~node104(c_s, s9, s3))),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15374, 12562, 12717])).
% 12.66/12.89 tff(15376,plain,
% 12.66/12.89 (~node104(c_s, s9, s3)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15375, 15196])).
% 12.66/12.89 tff(15377,plain,
% 12.66/12.89 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))))),
% 12.66/12.89 inference(bind,[status(th)],[])).
% 12.66/12.89 tff(15378,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 12.66/12.89 inference(quant_intro,[status(thm)],[15377])).
% 12.66/12.89 tff(15379,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15380,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_8')).
% 12.66/12.89 tff(15381,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 12.66/12.89 tff(15382,plain,(
% 12.66/12.89 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 12.66/12.89 inference(skolemize,[status(sab)],[15381])).
% 12.66/12.89 tff(15383,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15382, 15378])).
% 12.66/12.89 tff(15384,plain,
% 12.66/12.89 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node89(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node89(c_s, s8)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15385,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node89(c_s, s8)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15386,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node89(c_s, s8))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 12.66/12.89 tff(15387,plain,
% 12.66/12.89 (~node89(c_s, s8)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15386, 15383, 15054])).
% 12.66/12.89 tff(15388,plain,
% 12.66/12.89 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))))),
% 12.66/12.89 inference(bind,[status(th)],[])).
% 12.66/12.89 tff(15389,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 12.66/12.89 inference(quant_intro,[status(thm)],[15388])).
% 12.66/12.89 tff(15390,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15391,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_2')).
% 12.66/12.89 tff(15392,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15391, 15390])).
% 12.66/12.89 tff(15393,plain,(
% 12.66/12.89 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 12.66/12.89 inference(skolemize,[status(sab)],[15392])).
% 12.66/12.89 tff(15394,plain,
% 12.66/12.89 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15393, 15389])).
% 12.66/12.89 tff(15395,plain,
% 12.66/12.89 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node88(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node88(c_s, s8)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15396,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node88(c_s, s8)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15397,plain,
% 12.66/12.89 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node88(c_s, s8))),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15396, 15395])).
% 12.66/12.89 tff(15398,plain,
% 12.66/12.89 (~node88(c_s, s8)),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15397, 15394, 15290])).
% 12.66/12.89 tff(15399,assumption,(~node91(c_s, s8, s9)), introduced(assumption)).
% 12.66/12.89 tff(15400,plain,
% 12.66/12.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15401,plain,
% 12.66/12.89 (((~trans(s8, s9)) | node91(c_s, s8, s9) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15402,plain,
% 12.66/12.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s8, s9)) | node91(c_s, s8, s9) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9)))),
% 12.66/12.89 inference(monotonicity,[status(thm)],[15401])).
% 12.66/12.89 tff(15403,plain,
% 12.66/12.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s8, s9)) | node91(c_s, s8, s9) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9))),
% 12.66/12.89 inference(transitivity,[status(thm)],[15402, 15400])).
% 12.66/12.89 tff(15404,plain,
% 12.66/12.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s8, s9)) | node91(c_s, s8, s9) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15405,plain,
% 12.66/12.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s8, s9)),
% 12.66/12.89 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 12.66/12.89 tff(15406,plain,
% 12.66/12.89 ($false),
% 12.66/12.89 inference(unit_resolution,[status(thm)],[15405, 12030, 13141, 5508, 15399])).
% 12.66/12.89 tff(15407,plain,(node91(c_s, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 12.66/12.89 tff(15408,plain,
% 12.66/12.89 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s8) | node89(c_s, s8) | node90(c_s, s8, s9) | (~node91(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s8) | node89(c_s, s8) | node90(c_s, s8, s9) | (~node91(c_s, s8, s9)))),
% 12.66/12.89 inference(rewrite,[status(thm)],[])).
% 12.66/12.89 tff(15409,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s8) | node89(c_s, s8) | node90(c_s, s8, s9) | (~node91(c_s, s8, s9)))),
% 12.66/12.89 inference(quant_inst,[status(thm)],[])).
% 12.66/12.89 tff(15410,plain,
% 12.66/12.89 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s8) | node89(c_s, s8) | node90(c_s, s8, s9) | (~node91(c_s, s8, s9))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 12.66/12.90 tff(15411,plain,
% 12.66/12.90 (node88(c_s, s8) | node89(c_s, s8) | node90(c_s, s8, s9)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15410, 13194, 15407])).
% 12.66/12.90 tff(15412,plain,
% 12.66/12.90 (node89(c_s, s8) | node90(c_s, s8, s9)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15411, 15398])).
% 12.66/12.90 tff(15413,plain,
% 12.66/12.90 (node90(c_s, s8, s9)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15412, 15387])).
% 12.66/12.90 tff(15414,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15415,plain,
% 12.66/12.90 (((~trans(s7, s8)) | node91(c_s, s7, s8) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15416,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s7, s8)) | node91(c_s, s7, s8) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8)))),
% 12.66/12.90 inference(monotonicity,[status(thm)],[15415])).
% 12.66/12.90 tff(15417,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s7, s8)) | node91(c_s, s7, s8) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8))),
% 12.66/12.90 inference(transitivity,[status(thm)],[15416, 15414])).
% 12.66/12.90 tff(15418,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s7, s8)) | node91(c_s, s7, s8) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15419,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s7, s8)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 12.66/12.90 tff(15420,plain,
% 12.66/12.90 (node91(c_s, s7, s8)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15419, 12030, 13141, 5304])).
% 12.66/12.90 tff(15421,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node89(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node89(c_s, s7)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15422,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node89(c_s, s7)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15423,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node89(c_s, s7))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 12.66/12.90 tff(15424,plain,
% 12.66/12.90 (~node89(c_s, s7)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15423, 15383, 14560])).
% 12.66/12.90 tff(15425,plain,
% 12.66/12.90 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node88(J0, X))) <=> (m_state_v_gob(J0, X) | (~node88(J0, X))))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15426,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15425])).
% 12.66/12.90 tff(15427,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15428,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_1')).
% 12.66/12.90 tff(15429,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 12.66/12.90 tff(15430,plain,(
% 12.66/12.90 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 12.66/12.90 inference(skolemize,[status(sab)],[15429])).
% 12.66/12.90 tff(15431,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15430, 15426])).
% 12.66/12.90 tff(15432,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node88(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | m_state_v_gob(c_s, s7) | (~node88(c_s, s7)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15433,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node88(c_s, s7)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15434,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | m_state_v_gob(c_s, s7) | (~node88(c_s, s7))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 12.66/12.90 tff(15435,plain,
% 12.66/12.90 (m_state_v_gob(c_s, s7) | (~node88(c_s, s7))),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15434, 15431])).
% 12.66/12.90 tff(15436,plain,
% 12.66/12.90 (~node88(c_s, s7)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15435, 14676])).
% 12.66/12.90 tff(15437,plain,
% 12.66/12.90 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s7) | node89(c_s, s7) | node90(c_s, s7, s8) | (~node91(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s7) | node89(c_s, s7) | node90(c_s, s7, s8) | (~node91(c_s, s7, s8)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15438,plain,
% 12.66/12.90 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s7) | node89(c_s, s7) | node90(c_s, s7, s8) | (~node91(c_s, s7, s8)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15439,plain,
% 12.66/12.90 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s7) | node89(c_s, s7) | node90(c_s, s7, s8) | (~node91(c_s, s7, s8))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15438, 15437])).
% 12.66/12.90 tff(15440,plain,
% 12.66/12.90 (node90(c_s, s7, s8)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15439, 13194, 15436, 15424, 15420])).
% 12.66/12.90 tff(15441,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | ((~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15442,plain,
% 12.66/12.90 ((m_state_v_gvp(c_s, s6, c_ovb) | (~node88(c_s, s6))) <=> ((~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15443,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node88(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | ((~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb)))),
% 12.66/12.90 inference(monotonicity,[status(thm)],[15442])).
% 12.66/12.90 tff(15444,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node88(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb))),
% 12.66/12.90 inference(transitivity,[status(thm)],[15443, 15441])).
% 12.66/12.90 tff(15445,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node88(c_s, s6)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15446,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (~node88(c_s, s6)) | m_state_v_gvp(c_s, s6, c_ovb)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15445, 15444])).
% 12.66/12.90 tff(15447,plain,
% 12.66/12.90 (~node88(c_s, s6)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15446, 15394, 14159])).
% 12.66/12.90 tff(15448,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15449,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15450,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 12.66/12.90 tff(15451,plain,
% 12.66/12.90 (~node89(c_s, s6)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15450, 15383, 14168])).
% 12.66/12.90 tff(15452,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15453,plain,
% 12.66/12.90 (((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15454,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7)))),
% 12.66/12.90 inference(monotonicity,[status(thm)],[15453])).
% 12.66/12.90 tff(15455,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 12.66/12.90 inference(transitivity,[status(thm)],[15454, 15452])).
% 12.66/12.90 tff(15456,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15457,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 12.66/12.90 tff(15458,plain,
% 12.66/12.90 (node91(c_s, s6, s7)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15457, 12030, 13141, 5162])).
% 12.66/12.90 tff(15459,plain,
% 12.66/12.90 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15460,plain,
% 12.66/12.90 ((node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7))) <=> (node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15461,plain,
% 12.66/12.90 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7)))),
% 12.66/12.90 inference(monotonicity,[status(thm)],[15460])).
% 12.66/12.90 tff(15462,plain,
% 12.66/12.90 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7))),
% 12.66/12.90 inference(transitivity,[status(thm)],[15461, 15459])).
% 12.66/12.90 tff(15463,plain,
% 12.66/12.90 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15464,plain,
% 12.66/12.90 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s6) | node89(c_s, s6) | (~node91(c_s, s6, s7)) | node90(c_s, s6, s7)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 12.66/12.90 tff(15465,plain,
% 12.66/12.90 (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15464, 13194, 15458])).
% 12.66/12.90 tff(15466,plain,
% 12.66/12.90 (node90(c_s, s6, s7)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15465, 15451, 15447])).
% 12.66/12.90 tff(15467,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15468,plain,
% 12.66/12.90 (((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15469,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4)))),
% 12.66/12.90 inference(monotonicity,[status(thm)],[15468])).
% 12.66/12.90 tff(15470,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4))),
% 12.66/12.90 inference(transitivity,[status(thm)],[15469, 15467])).
% 12.66/12.90 tff(15471,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15472,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s3, s4)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 12.66/12.90 tff(15473,plain,
% 12.66/12.90 (node91(c_s, s3, s4)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15472, 12030, 13141, 1179])).
% 12.66/12.90 tff(15474,plain,
% 12.66/12.90 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node89(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X))))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15475,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15474])).
% 12.66/12.90 tff(15476,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15477,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_7')).
% 12.66/12.90 tff(15478,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15477, 15476])).
% 12.66/12.90 tff(15479,plain,(
% 12.66/12.90 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))),
% 12.66/12.90 inference(skolemize,[status(sab)],[15478])).
% 12.66/12.90 tff(15480,plain,
% 12.66/12.90 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15479, 15475])).
% 12.66/12.90 tff(15481,plain,
% 12.66/12.90 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node89(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node89(c_s, s3)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15482,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s3, c_down) | (~node89(c_s, s3)))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15483,plain,
% 12.66/12.90 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | m_state_v_CVM(c_s, s3, c_down) | (~node89(c_s, s3))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 12.66/12.90 tff(15484,plain,
% 12.66/12.90 (~node89(c_s, s3)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15483, 15480, 12813])).
% 12.66/12.90 tff(15485,plain,
% 12.66/12.90 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15486,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15485])).
% 12.66/12.90 tff(15487,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15488,plain,
% 12.66/12.90 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node12(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15489,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15488])).
% 12.66/12.90 tff(15490,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_34')).
% 12.66/12.90 tff(15491,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 12.66/12.90 tff(15492,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15491, 15487])).
% 12.66/12.90 tff(15493,plain,(
% 12.66/12.90 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(skolemize,[status(sab)],[15492])).
% 12.66/12.90 tff(15494,plain,
% 12.66/12.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15493, 15486])).
% 12.66/12.90 tff(15495,plain,
% 12.66/12.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15496,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))),
% 12.66/12.90 inference(quant_inst,[status(thm)],[])).
% 12.66/12.90 tff(15497,plain,
% 12.66/12.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3)),
% 12.66/12.90 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 12.66/12.90 tff(15498,plain,
% 12.66/12.90 (node12(c_s, s2, s3)),
% 12.66/12.90 inference(unit_resolution,[status(thm)],[15497, 2055, 15494, 794])).
% 12.66/12.90 tff(15499,plain,
% 12.66/12.90 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15500,plain,
% 12.66/12.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15499])).
% 12.66/12.90 tff(15501,plain,
% 12.66/12.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.90 inference(rewrite,[status(thm)],[])).
% 12.66/12.90 tff(15502,plain,
% 12.66/12.90 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))))),
% 12.66/12.90 inference(bind,[status(th)],[])).
% 12.66/12.90 tff(15503,plain,
% 12.66/12.90 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.90 inference(quant_intro,[status(thm)],[15502])).
% 12.66/12.91 tff(15504,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Communication_31')).
% 12.66/12.91 tff(15505,plain,
% 12.66/12.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 12.66/12.91 tff(15506,plain,
% 12.66/12.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15505, 15501])).
% 12.66/12.91 tff(15507,plain,(
% 12.66/12.91 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.91 inference(skolemize,[status(sab)],[15506])).
% 12.66/12.91 tff(15508,plain,
% 12.66/12.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15507, 15500])).
% 12.66/12.91 tff(15509,plain,
% 12.66/12.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15510,plain,
% 12.66/12.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))),
% 12.66/12.91 inference(quant_inst,[status(thm)],[])).
% 12.66/12.91 tff(15511,plain,
% 12.66/12.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 12.66/12.91 tff(15512,plain,
% 12.66/12.91 ((~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3))),
% 12.66/12.91 inference(unit_resolution,[status(thm)],[15511, 15508, 12374, 15498])).
% 12.66/12.91 tff(15513,plain,
% 12.66/12.91 (~m_state_v_pbe(c_s, s3)),
% 12.66/12.91 inference(unit_resolution,[status(thm)],[15512, 12695])).
% 12.66/12.91 tff(15514,plain,
% 12.66/12.91 (^[X: $i, J0: $i] : refl((m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> (m_state_v_pbe(J0, X) | (~node88(J0, X))))),
% 12.66/12.91 inference(bind,[status(th)],[])).
% 12.66/12.91 tff(15515,plain,
% 12.66/12.91 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 12.66/12.91 inference(quant_intro,[status(thm)],[15514])).
% 12.66/12.91 tff(15516,plain,
% 12.66/12.91 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15517,axiom,(![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_6')).
% 12.66/12.91 tff(15518,plain,
% 12.66/12.91 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15517, 15516])).
% 12.66/12.91 tff(15519,plain,(
% 12.66/12.91 ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 12.66/12.91 inference(skolemize,[status(sab)],[15518])).
% 12.66/12.91 tff(15520,plain,
% 12.66/12.91 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15519, 15515])).
% 12.66/12.91 tff(15521,plain,
% 12.66/12.91 (((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | ((~node88(c_s, s3)) | m_state_v_pbe(c_s, s3))) <=> ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s3)) | m_state_v_pbe(c_s, s3))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15522,plain,
% 12.66/12.91 ((m_state_v_pbe(c_s, s3) | (~node88(c_s, s3))) <=> ((~node88(c_s, s3)) | m_state_v_pbe(c_s, s3))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15523,plain,
% 12.66/12.91 (((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | ((~node88(c_s, s3)) | m_state_v_pbe(c_s, s3)))),
% 12.66/12.91 inference(monotonicity,[status(thm)],[15522])).
% 12.66/12.91 tff(15524,plain,
% 12.66/12.91 (((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s3)) | m_state_v_pbe(c_s, s3))),
% 12.66/12.91 inference(transitivity,[status(thm)],[15523, 15521])).
% 12.66/12.91 tff(15525,plain,
% 12.66/12.91 ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))),
% 12.66/12.91 inference(quant_inst,[status(thm)],[])).
% 12.66/12.91 tff(15526,plain,
% 12.66/12.91 ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s3)) | m_state_v_pbe(c_s, s3)),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15525, 15524])).
% 12.66/12.91 tff(15527,plain,
% 12.66/12.91 (~node88(c_s, s3)),
% 12.66/12.91 inference(unit_resolution,[status(thm)],[15526, 15520, 15513])).
% 12.66/12.91 tff(15528,plain,
% 12.66/12.91 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15529,plain,
% 12.66/12.91 ((node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4))) <=> (node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15530,plain,
% 12.66/12.91 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4))))),
% 12.66/12.91 inference(monotonicity,[status(thm)],[15529])).
% 12.66/12.91 tff(15531,plain,
% 12.66/12.91 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 12.66/12.91 inference(transitivity,[status(thm)],[15530, 15528])).
% 12.66/12.91 tff(15532,plain,
% 12.66/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 12.66/12.91 inference(quant_inst,[status(thm)],[])).
% 12.66/12.91 tff(15533,plain,
% 12.66/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s3) | node88(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4))),
% 12.66/12.91 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 12.66/12.91 tff(15534,plain,
% 12.66/12.91 (node90(c_s, s3, s4)),
% 12.66/12.91 inference(unit_resolution,[status(thm)],[15533, 13194, 15527, 15484, 15473])).
% 12.66/12.91 tff(15535,plain,
% 12.66/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 12.66/12.91 inference(rewrite,[status(thm)],[])).
% 12.66/12.91 tff(15536,plain,
% 12.66/12.91 (((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15537,plain,
% 12.75/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3)))),
% 12.75/12.91 inference(monotonicity,[status(thm)],[15536])).
% 12.75/12.91 tff(15538,plain,
% 12.75/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 12.75/12.91 inference(transitivity,[status(thm)],[15537, 15535])).
% 12.75/12.91 tff(15539,plain,
% 12.75/12.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15540,plain,
% 12.75/12.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3)),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 12.75/12.91 tff(15541,plain,
% 12.75/12.91 (node91(c_s, s2, s3)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15540, 12030, 13141, 794])).
% 12.75/12.91 tff(15542,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15543,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15544,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 12.75/12.91 tff(15545,plain,
% 12.75/12.91 (~node88(c_s, s2)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15544, 15394, 12378])).
% 12.75/12.91 tff(15546,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15547,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15548,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 12.75/12.91 tff(15549,plain,
% 12.75/12.91 (~node89(c_s, s2)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15548, 15383, 12400])).
% 12.75/12.91 tff(15550,plain,
% 12.75/12.91 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15551,plain,
% 12.75/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15552,plain,
% 12.75/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15551, 15550])).
% 12.75/12.91 tff(15553,plain,
% 12.75/12.91 (node90(c_s, s2, s3)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15552, 13194, 15549, 15545, 15541])).
% 12.75/12.91 tff(15554,plain,
% 12.75/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15555,plain,
% 12.75/12.91 (((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15556,plain,
% 12.75/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2)))),
% 12.75/12.91 inference(monotonicity,[status(thm)],[15555])).
% 12.75/12.91 tff(15557,plain,
% 12.75/12.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 12.75/12.91 inference(transitivity,[status(thm)],[15556, 15554])).
% 12.75/12.91 tff(15558,plain,
% 12.75/12.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15559,plain,
% 12.75/12.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2)),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 12.75/12.91 tff(15560,plain,
% 12.75/12.91 (node91(c_s, s1, s2)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15559, 12030, 13141, 226])).
% 12.75/12.91 tff(15561,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node89(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node89(c_s, s1)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15562,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node89(c_s, s1)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15563,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node89(c_s, s1))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 12.75/12.91 tff(15564,plain,
% 12.75/12.91 (~node89(c_s, s1)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15563, 15480, 12616])).
% 12.75/12.91 tff(15565,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | ((~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15566,plain,
% 12.75/12.91 ((m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1))) <=> ((~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15567,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | ((~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off)))),
% 12.75/12.91 inference(monotonicity,[status(thm)],[15566])).
% 12.75/12.91 tff(15568,plain,
% 12.75/12.91 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off))),
% 12.75/12.91 inference(transitivity,[status(thm)],[15567, 15565])).
% 12.75/12.91 tff(15569,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15570,plain,
% 12.75/12.91 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (~node88(c_s, s1)) | m_state_v_CMag(c_s, s1, c_off)),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 12.75/12.91 tff(15571,plain,
% 12.75/12.91 (~node88(c_s, s1)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15570, 13169, 13218])).
% 12.75/12.91 tff(15572,plain,
% 12.75/12.91 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15573,plain,
% 12.75/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15574,plain,
% 12.75/12.91 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 12.75/12.91 tff(15575,plain,
% 12.75/12.91 (node90(c_s, s1, s2)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15574, 13194, 15571, 15564, 15560])).
% 12.75/12.91 tff(15576,plain,
% 12.75/12.91 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)) <=> ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)))),
% 12.75/12.91 inference(bind,[status(th)],[])).
% 12.75/12.91 tff(15577,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(quant_intro,[status(thm)],[15576])).
% 12.75/12.91 tff(15578,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15579,plain,
% 12.75/12.91 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_CMag(J0, Y, V) | (~m_state_v_CMag(J0, X, V))) <=> ((~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))), (((m_state_v_CMag(J0, Y, V) | (~m_state_v_CMag(J0, X, V))) | (~node90(J0, X, Y))) <=> (((~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)) | (~node90(J0, X, Y))))), rewrite((((~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V)) | (~node90(J0, X, Y))) <=> ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))), (((m_state_v_CMag(J0, Y, V) | (~m_state_v_CMag(J0, X, V))) | (~node90(J0, X, Y))) <=> ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))))),
% 12.75/12.91 inference(bind,[status(th)],[])).
% 12.75/12.91 tff(15580,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CMag(J0, Y, V) | (~m_state_v_CMag(J0, X, V))) | (~node90(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(quant_intro,[status(thm)],[15579])).
% 12.75/12.91 tff(15581,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CMag(J0, Y, V) | (~m_state_v_CMag(J0, X, V))) | (~node90(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Crane_10')).
% 12.75/12.91 tff(15582,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 12.75/12.91 tff(15583,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15582, 15578])).
% 12.75/12.91 tff(15584,plain,(
% 12.75/12.91 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(skolemize,[status(sab)],[15583])).
% 12.75/12.91 tff(15585,plain,
% 12.75/12.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15584, 15577])).
% 12.75/12.91 tff(15586,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15587,plain,
% 12.75/12.91 (((~node90(c_s, s0, s1)) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on)) <=> ((~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15588,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s0, s1)) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1))))),
% 12.75/12.91 inference(monotonicity,[status(thm)],[15587])).
% 12.75/12.91 tff(15589,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s0, s1)) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1)))),
% 12.75/12.91 inference(transitivity,[status(thm)],[15588, 15586])).
% 12.75/12.91 tff(15590,plain,
% 12.75/12.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s0, s1)) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15591,plain,
% 12.75/12.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s0, c_on)) | m_state_v_CMag(c_s, s1, c_on) | (~node90(c_s, s0, s1))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 12.75/12.91 tff(15592,plain,
% 12.75/12.91 (m_state_v_CMag(c_s, s1, c_on)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15591, 15585, 12084, 13201])).
% 12.75/12.91 tff(15593,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15594,plain,
% 12.75/12.91 (((~node90(c_s, s1, s2)) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on)) <=> ((~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15595,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s1, s2)) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2))))),
% 12.75/12.91 inference(monotonicity,[status(thm)],[15594])).
% 12.75/12.91 tff(15596,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s1, s2)) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2)))),
% 12.75/12.91 inference(transitivity,[status(thm)],[15595, 15593])).
% 12.75/12.91 tff(15597,plain,
% 12.75/12.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s1, s2)) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on))),
% 12.75/12.91 inference(quant_inst,[status(thm)],[])).
% 12.75/12.91 tff(15598,plain,
% 12.75/12.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s1, c_on)) | m_state_v_CMag(c_s, s2, c_on) | (~node90(c_s, s1, s2))),
% 12.75/12.91 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 12.75/12.91 tff(15599,plain,
% 12.75/12.91 (m_state_v_CMag(c_s, s2, c_on)),
% 12.75/12.91 inference(unit_resolution,[status(thm)],[15598, 15585, 15592, 15575])).
% 12.75/12.91 tff(15600,plain,
% 12.75/12.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3)))),
% 12.75/12.91 inference(rewrite,[status(thm)],[])).
% 12.75/12.91 tff(15601,plain,
% 12.75/12.91 (((~node90(c_s, s2, s3)) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on)) <=> ((~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15602,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s2, s3)) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3))))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15601])).
% 12.75/12.92 tff(15603,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s2, s3)) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3)))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15602, 15600])).
% 12.75/12.92 tff(15604,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s2, s3)) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15605,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s2, c_on)) | m_state_v_CMag(c_s, s3, c_on) | (~node90(c_s, s2, s3))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 12.75/12.92 tff(15606,plain,
% 12.75/12.92 (m_state_v_CMag(c_s, s3, c_on)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15605, 15585, 15599, 15553])).
% 12.75/12.92 tff(15607,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15608,plain,
% 12.75/12.92 (((~node90(c_s, s3, s4)) | (~m_state_v_CMag(c_s, s3, c_on)) | m_state_v_CMag(c_s, s4, c_on)) <=> (m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15609,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s3, s4)) | (~m_state_v_CMag(c_s, s3, c_on)) | m_state_v_CMag(c_s, s4, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4))))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15608])).
% 12.75/12.92 tff(15610,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s3, s4)) | (~m_state_v_CMag(c_s, s3, c_on)) | m_state_v_CMag(c_s, s4, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4)))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15609, 15607])).
% 12.75/12.92 tff(15611,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s3, s4)) | (~m_state_v_CMag(c_s, s3, c_on)) | m_state_v_CMag(c_s, s4, c_on))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15612,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s4, c_on) | (~m_state_v_CMag(c_s, s3, c_on)) | (~node90(c_s, s3, s4))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 12.75/12.92 tff(15613,plain,
% 12.75/12.92 (m_state_v_CMag(c_s, s4, c_on)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15612, 15585, 15606, 15534])).
% 12.75/12.92 tff(15614,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | ((~node88(c_s, s4)) | m_state_v_gob(c_s, s4))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15615,plain,
% 12.75/12.92 ((m_state_v_gob(c_s, s4) | (~node88(c_s, s4))) <=> ((~node88(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15616,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | ((~node88(c_s, s4)) | m_state_v_gob(c_s, s4)))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15615])).
% 12.75/12.92 tff(15617,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s4)) | m_state_v_gob(c_s, s4))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15616, 15614])).
% 12.75/12.92 tff(15618,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15619,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (~node88(c_s, s4)) | m_state_v_gob(c_s, s4)),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 12.75/12.92 tff(15620,plain,
% 12.75/12.92 (~node88(c_s, s4)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15619, 15431, 12876])).
% 12.75/12.92 tff(15621,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15622,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15623,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 12.75/12.92 tff(15624,plain,
% 12.75/12.92 (~node89(c_s, s4)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15623, 15383, 12964])).
% 12.75/12.92 tff(15625,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15626,plain,
% 12.75/12.92 (((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15627,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5)))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15626])).
% 12.75/12.92 tff(15628,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15627, 15625])).
% 12.75/12.92 tff(15629,plain,
% 12.75/12.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15630,plain,
% 12.75/12.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5)),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 12.75/12.92 tff(15631,plain,
% 12.75/12.92 (node91(c_s, s4, s5)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15630, 12030, 13141, 4253])).
% 12.75/12.92 tff(15632,plain,
% 12.75/12.92 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15633,plain,
% 12.75/12.92 ((node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5))) <=> (node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15634,plain,
% 12.75/12.92 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5)))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15633])).
% 12.75/12.92 tff(15635,plain,
% 12.75/12.92 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15634, 15632])).
% 12.75/12.92 tff(15636,plain,
% 12.75/12.92 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15637,plain,
% 12.75/12.92 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s4) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5)),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 12.75/12.92 tff(15638,plain,
% 12.75/12.92 (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15637, 13194, 15631])).
% 12.75/12.92 tff(15639,plain,
% 12.75/12.92 (node90(c_s, s4, s5)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15638, 15624, 15620])).
% 12.75/12.92 tff(15640,assumption,(node90(c_s, s4, s5)), introduced(assumption)).
% 12.75/12.92 tff(15641,assumption,(~m_state_v_CMag(c_s, s5, c_on)), introduced(assumption)).
% 12.75/12.92 tff(15642,assumption,(m_state_v_CMag(c_s, s4, c_on)), introduced(assumption)).
% 12.75/12.92 tff(15643,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15644,plain,
% 12.75/12.92 (((~node90(c_s, s4, s5)) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on)) <=> ((~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15645,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s4, s5)) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5))))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15644])).
% 12.75/12.92 tff(15646,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s4, s5)) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5)))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15645, 15643])).
% 12.75/12.92 tff(15647,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s4, s5)) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15648,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15647, 15646])).
% 12.75/12.92 tff(15649,plain,
% 12.75/12.92 ($false),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15648, 15585, 15642, 15641, 15640])).
% 12.75/12.92 tff(15650,plain,((~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on) | (~node90(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 12.75/12.92 tff(15651,plain,
% 12.75/12.92 ((~m_state_v_CMag(c_s, s4, c_on)) | m_state_v_CMag(c_s, s5, c_on)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15650, 15639])).
% 12.75/12.92 tff(15652,plain,
% 12.75/12.92 (m_state_v_CMag(c_s, s5, c_on)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15651, 15613])).
% 12.75/12.92 tff(15653,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node88(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node88(c_s, s5)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15654,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node88(c_s, s5)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15655,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node88(c_s, s5))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 12.75/12.92 tff(15656,plain,
% 12.75/12.92 (~node88(c_s, s5)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15655, 15394, 13782])).
% 12.75/12.92 tff(15657,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | ((~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15658,plain,
% 12.75/12.92 ((m_state_v_CVM(c_s, s5, c_down) | (~node89(c_s, s5))) <=> ((~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15659,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node89(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | ((~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15658])).
% 12.75/12.92 tff(15660,plain,
% 12.75/12.92 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node89(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15659, 15657])).
% 12.75/12.92 tff(15661,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (m_state_v_CVM(c_s, s5, c_down) | (~node89(c_s, s5)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15662,plain,
% 12.75/12.92 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node89(J0, X)))) | (~node89(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 12.75/12.92 tff(15663,plain,
% 12.75/12.92 (~node89(c_s, s5)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15662, 15480, 14123])).
% 12.75/12.92 tff(15664,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15665,plain,
% 12.75/12.92 (((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15666,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6)))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15665])).
% 12.75/12.92 tff(15667,plain,
% 12.75/12.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15666, 15664])).
% 12.75/12.92 tff(15668,plain,
% 12.75/12.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15669,plain,
% 12.75/12.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6)),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 12.75/12.92 tff(15670,plain,
% 12.75/12.92 (node91(c_s, s5, s6)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15669, 12030, 13141, 15])).
% 12.75/12.92 tff(15671,plain,
% 12.75/12.92 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15672,plain,
% 12.75/12.92 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15673,plain,
% 12.75/12.92 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6))),
% 12.75/12.92 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 12.75/12.92 tff(15674,plain,
% 12.75/12.92 (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15673, 13194, 15670])).
% 12.75/12.92 tff(15675,plain,
% 12.75/12.92 (node90(c_s, s5, s6)),
% 12.75/12.92 inference(unit_resolution,[status(thm)],[15674, 15663, 15656])).
% 12.75/12.92 tff(15676,assumption,(node90(c_s, s5, s6)), introduced(assumption)).
% 12.75/12.92 tff(15677,assumption,(m_state_v_CMag(c_s, s5, c_on)), introduced(assumption)).
% 12.75/12.92 tff(15678,assumption,(~m_state_v_CMag(c_s, s6, c_on)), introduced(assumption)).
% 12.75/12.92 tff(15679,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15680,plain,
% 12.75/12.92 (((~node90(c_s, s5, s6)) | (~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on)) <=> (m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6)))),
% 12.75/12.92 inference(rewrite,[status(thm)],[])).
% 12.75/12.92 tff(15681,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s5, s6)) | (~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | (m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6))))),
% 12.75/12.92 inference(monotonicity,[status(thm)],[15680])).
% 12.75/12.92 tff(15682,plain,
% 12.75/12.92 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s5, s6)) | (~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6)))),
% 12.75/12.92 inference(transitivity,[status(thm)],[15681, 15679])).
% 12.75/12.92 tff(15683,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | ((~node90(c_s, s5, s6)) | (~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on))),
% 12.75/12.92 inference(quant_inst,[status(thm)],[])).
% 12.75/12.92 tff(15684,plain,
% 12.75/12.92 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | (~m_state_v_CMag(J0, X, V)) | m_state_v_CMag(J0, Y, V))) | m_state_v_CMag(c_s, s6, c_on) | (~m_state_v_CMag(c_s, s5, c_on)) | (~node90(c_s, s5, s6))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15683, 15682])).
% 12.75/12.93 tff(15685,plain,
% 12.75/12.93 ($false),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15684, 15585, 15678, 15677, 15676])).
% 12.75/12.93 tff(15686,plain,((~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on) | (~node90(c_s, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 12.75/12.93 tff(15687,plain,
% 12.75/12.93 ((~m_state_v_CMag(c_s, s5, c_on)) | m_state_v_CMag(c_s, s6, c_on)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15686, 15675])).
% 12.75/12.93 tff(15688,plain,
% 12.75/12.93 (m_state_v_CMag(c_s, s6, c_on)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15687, 15652])).
% 12.75/12.93 tff(15689,plain,
% 12.75/12.93 (((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s6, c_off)) | (~m_state_v_CMag(c_s, s6, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s6, c_off)) | (~m_state_v_CMag(c_s, s6, c_on)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15690,plain,
% 12.75/12.93 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s6, c_off)) | (~m_state_v_CMag(c_s, s6, c_on)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15691,plain,
% 12.75/12.93 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s6, c_off)) | (~m_state_v_CMag(c_s, s6, c_on))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 12.75/12.93 tff(15692,plain,
% 12.75/12.93 ((~m_state_v_CMag(c_s, s6, c_off)) | (~m_state_v_CMag(c_s, s6, c_on))),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15691, 13158])).
% 12.75/12.93 tff(15693,plain,
% 12.75/12.93 (~m_state_v_CMag(c_s, s6, c_off)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15692, 15688])).
% 12.75/12.93 tff(15694,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15695,plain,
% 12.75/12.93 (((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off))) <=> (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15696,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15695])).
% 12.75/12.93 tff(15697,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15696, 15694])).
% 12.75/12.93 tff(15698,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15699,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 12.75/12.93 tff(15700,plain,
% 12.75/12.93 (~m_state_v_CMag(c_s, s7, c_off)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15699, 13211, 15693, 15466])).
% 12.75/12.93 tff(15701,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15702,plain,
% 12.75/12.93 (((~node90(c_s, s7, s8)) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off))) <=> (m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15703,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s7, s8)) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15702])).
% 12.75/12.93 tff(15704,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s7, s8)) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15703, 15701])).
% 12.75/12.93 tff(15705,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s7, s8)) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15706,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s7, c_off) | (~m_state_v_CMag(c_s, s8, c_off)) | (~node90(c_s, s7, s8))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15705, 15704])).
% 12.75/12.93 tff(15707,plain,
% 12.75/12.93 (~m_state_v_CMag(c_s, s8, c_off)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15706, 13211, 15700, 15440])).
% 12.75/12.93 tff(15708,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15709,plain,
% 12.75/12.93 (((~node90(c_s, s8, s9)) | m_state_v_CMag(c_s, s8, c_off) | (~m_state_v_CMag(c_s, s9, c_off))) <=> ((~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15710,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s8, s9)) | m_state_v_CMag(c_s, s8, c_off) | (~m_state_v_CMag(c_s, s9, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15709])).
% 12.75/12.93 tff(15711,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s8, s9)) | m_state_v_CMag(c_s, s8, c_off) | (~m_state_v_CMag(c_s, s9, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15710, 15708])).
% 12.75/12.93 tff(15712,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s8, s9)) | m_state_v_CMag(c_s, s8, c_off) | (~m_state_v_CMag(c_s, s9, c_off)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15713,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (~m_state_v_CMag(c_s, s9, c_off)) | m_state_v_CMag(c_s, s8, c_off) | (~node90(c_s, s8, s9))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 12.75/12.93 tff(15714,plain,
% 12.75/12.93 (~m_state_v_CMag(c_s, s9, c_off)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15713, 13211, 15707, 15413])).
% 12.75/12.93 tff(15715,plain,
% 12.75/12.93 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s9, c_off) | (~node102(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s9, c_off) | (~node102(c_s, s9)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15716,plain,
% 12.75/12.93 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s9, c_off) | (~node102(c_s, s9)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15717,plain,
% 12.75/12.93 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s9, c_off) | (~node102(c_s, s9))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15716, 15715])).
% 12.75/12.93 tff(15718,plain,
% 12.75/12.93 (~node102(c_s, s9)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15717, 13948, 15714])).
% 12.75/12.93 tff(15719,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15720,plain,
% 12.75/12.93 ((node101(c_s, s9) | node100(c_s, s9) | node102(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3))) <=> (node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15721,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s9) | node100(c_s, s9) | node102(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15720])).
% 12.75/12.93 tff(15722,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s9) | node100(c_s, s9) | node102(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15721, 15719])).
% 12.75/12.93 tff(15723,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s9) | node100(c_s, s9) | node102(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15724,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s9) | node100(c_s, s9) | node101(c_s, s9) | node103(c_s, s9) | node104(c_s, s9, s3) | (~node105(c_s, s9, s3))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 12.75/12.93 tff(15725,plain,
% 12.75/12.93 (~node105(c_s, s9, s3)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15724, 12545, 15718, 15376, 15368, 15338, 15200])).
% 12.75/12.93 tff(15726,plain,
% 12.75/12.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15727,plain,
% 12.75/12.93 (((~trans(s9, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s9, s3)) <=> ((~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15728,plain,
% 12.75/12.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3)))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15727])).
% 12.75/12.93 tff(15729,plain,
% 12.75/12.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15728, 15726])).
% 12.75/12.93 tff(15730,plain,
% 12.75/12.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s9, s3))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15731,plain,
% 12.75/12.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~m_Crane_v_s(c_CR, c_s)) | (~trans(s9, s3)) | node105(c_s, s9, s3)),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15730, 15729])).
% 12.75/12.93 tff(15732,plain,
% 12.75/12.93 (~trans(s9, s3)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15731, 12030, 12456, 15725])).
% 12.75/12.93 tff(15733,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15734,plain,
% 12.75/12.93 (((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~m_state_v_CHM(c_s, s9, c_todepbelt))) <=> ((~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15735,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~m_state_v_CHM(c_s, s9, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15734])).
% 12.75/12.93 tff(15736,plain,
% 12.75/12.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~m_state_v_CHM(c_s, s9, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15735, 15733])).
% 12.75/12.93 tff(15737,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s8, s9)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~m_state_v_CHM(c_s, s9, c_todepbelt)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15738,plain,
% 12.75/12.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s9, c_todepbelt)) | m_state_v_CHM(c_s, s8, c_todepbelt) | (~node104(c_s, s8, s9))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 12.75/12.93 tff(15739,plain,
% 12.75/12.93 (~m_state_v_CHM(c_s, s9, c_todepbelt)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15738, 12562, 15345, 15189])).
% 12.75/12.93 tff(15740,plain,
% 12.75/12.93 (^[I0: $i] : refl(m_state_v_gob(I0, s0) <=> m_state_v_gob(I0, s0))),
% 12.75/12.93 inference(bind,[status(th)],[])).
% 12.75/12.93 tff(15741,plain,
% 12.75/12.93 (![I0: $i] : m_state_v_gob(I0, s0) <=> ![I0: $i] : m_state_v_gob(I0, s0)),
% 12.75/12.93 inference(quant_intro,[status(thm)],[15740])).
% 12.75/12.93 tff(15742,plain,
% 12.75/12.93 (![I0: $i] : m_state_v_gob(I0, s0) <=> ![I0: $i] : m_state_v_gob(I0, s0)),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15743,axiom,(![I0: $i] : m_state_v_gob(I0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_state_108')).
% 12.75/12.93 tff(15744,plain,
% 12.75/12.93 (![I0: $i] : m_state_v_gob(I0, s0)),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 12.75/12.93 tff(15745,plain,(
% 12.75/12.93 ![I0: $i] : m_state_v_gob(I0, s0)),
% 12.75/12.93 inference(skolemize,[status(sab)],[15744])).
% 12.75/12.93 tff(15746,plain,
% 12.75/12.93 (![I0: $i] : m_state_v_gob(I0, s0)),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15745, 15741])).
% 12.75/12.93 tff(15747,plain,
% 12.75/12.93 ((~![I0: $i] : m_state_v_gob(I0, s0)) | m_state_v_gob(c_s, s0)),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15748,plain,
% 12.75/12.93 (m_state_v_gob(c_s, s0)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15747, 15746])).
% 12.75/12.93 tff(15749,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15750,plain,
% 12.75/12.93 (((~node73(c_s, s9, s0)) | m_state_v_gob(c_s, s9) | (~m_state_v_gob(c_s, s0))) <=> ((~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15751,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s9, s0)) | m_state_v_gob(c_s, s9) | (~m_state_v_gob(c_s, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15750])).
% 12.75/12.93 tff(15752,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s9, s0)) | m_state_v_gob(c_s, s9) | (~m_state_v_gob(c_s, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15751, 15749])).
% 12.75/12.93 tff(15753,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s9, s0)) | m_state_v_gob(c_s, s9) | (~m_state_v_gob(c_s, s0)))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15754,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s0)) | m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 12.75/12.93 tff(15755,plain,
% 12.75/12.93 (m_state_v_gob(c_s, s9) | (~node73(c_s, s9, s0))),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15754, 14649, 15748])).
% 12.75/12.93 tff(15756,plain,
% 12.75/12.93 (~node73(c_s, s9, s0)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15755, 15364])).
% 12.75/12.93 tff(15757,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15758,plain,
% 12.75/12.93 ((node73(c_s, s9, s0) | (~node74(c_s, s9, s0)) | m_state_v_CHM(c_s, s9, c_todepbelt) | m_state_v_CHM(c_s, s9, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0)))),
% 12.75/12.93 inference(rewrite,[status(thm)],[])).
% 12.75/12.93 tff(15759,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s9, s0) | (~node74(c_s, s9, s0)) | m_state_v_CHM(c_s, s9, c_todepbelt) | m_state_v_CHM(c_s, s9, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0))))),
% 12.75/12.93 inference(monotonicity,[status(thm)],[15758])).
% 12.75/12.93 tff(15760,plain,
% 12.75/12.93 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s9, s0) | (~node74(c_s, s9, s0)) | m_state_v_CHM(c_s, s9, c_todepbelt) | m_state_v_CHM(c_s, s9, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0)))),
% 12.75/12.93 inference(transitivity,[status(thm)],[15759, 15757])).
% 12.75/12.93 tff(15761,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s9, s0) | (~node74(c_s, s9, s0)) | m_state_v_CHM(c_s, s9, c_todepbelt) | m_state_v_CHM(c_s, s9, c_tofeedbelt))),
% 12.75/12.93 inference(quant_inst,[status(thm)],[])).
% 12.75/12.93 tff(15762,plain,
% 12.75/12.93 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s9, c_tofeedbelt) | m_state_v_CHM(c_s, s9, c_todepbelt) | node73(c_s, s9, s0) | (~node74(c_s, s9, s0))),
% 12.75/12.93 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 12.75/12.93 tff(15763,plain,
% 12.75/12.93 (~node74(c_s, s9, s0)),
% 12.75/12.93 inference(unit_resolution,[status(thm)],[15762, 14631, 15196, 15756, 15739])).
% 12.75/12.93 tff(15764,assumption,(~node74(c_s, s9, s0)), introduced(assumption)).
% 12.75/12.93 tff(15765,assumption,(trans(s9, s0)), introduced(assumption)).
% 12.75/12.93 tff(15766,plain,
% 12.75/12.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15767,plain,
% 12.75/12.94 (((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s9, s0)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15768,plain,
% 12.75/12.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0)))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15767])).
% 12.75/12.94 tff(15769,plain,
% 12.75/12.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0))),
% 12.75/12.94 inference(transitivity,[status(thm)],[15768, 15766])).
% 12.75/12.94 tff(15770,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s9, s0))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15771,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node74(c_s, s9, s0)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 12.75/12.94 tff(15772,plain,
% 12.75/12.94 ($false),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15771, 15765, 28, 12855, 15764])).
% 12.75/12.94 tff(15773,plain,(node74(c_s, s9, s0) | (~trans(s9, s0))), inference(lemma,lemma(discharge,[]))).
% 12.75/12.94 tff(15774,plain,
% 12.75/12.94 (~trans(s9, s0)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15773, 15763])).
% 12.75/12.94 tff(15775,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node84(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node84(c_s, s8)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15776,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node84(c_s, s8)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15777,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node84(c_s, s8))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 12.75/12.94 tff(15778,plain,
% 12.75/12.94 (~node84(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15777, 13432, 15054])).
% 12.75/12.94 tff(15779,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node83(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node83(c_s, s8)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15780,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node83(c_s, s8)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15781,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node83(c_s, s8))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 12.75/12.94 tff(15782,plain,
% 12.75/12.94 (~node83(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15781, 13414, 15290])).
% 12.75/12.94 tff(15783,plain,
% 12.75/12.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s8, s9))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15784,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s8, s9))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15785,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s8, s9)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15784, 15783])).
% 12.75/12.94 tff(15786,plain,
% 12.75/12.94 (node87(c_s, s8, s9)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15785, 28, 12058, 5508])).
% 12.75/12.94 tff(15787,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15788,plain,
% 12.75/12.94 (((~m_state_v_gvp(c_s, s8, c_sd)) | (~m_state_v_CVM(c_s, s8, c_idle)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15789,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | (~m_state_v_CVM(c_s, s8, c_idle)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15788])).
% 12.75/12.94 tff(15790,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | (~m_state_v_CVM(c_s, s8, c_idle)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(transitivity,[status(thm)],[15789, 15787])).
% 12.75/12.94 tff(15791,plain,
% 12.75/12.94 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | (~m_state_v_CVM(c_s, s8, c_idle)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15792,plain,
% 12.75/12.94 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~node87(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 12.75/12.94 tff(15793,plain,
% 12.75/12.94 ((~m_state_v_gvp(c_s, s8, c_sd)) | node83(c_s, s8) | node84(c_s, s8) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15792, 13450, 15786])).
% 12.75/12.94 tff(15794,plain,
% 12.75/12.94 ((~m_state_v_gvp(c_s, s8, c_sd)) | node84(c_s, s8) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15793, 15782])).
% 12.75/12.94 tff(15795,plain,
% 12.75/12.94 (m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15794, 15210, 15050, 15778])).
% 12.75/12.94 tff(15796,plain,
% 12.75/12.94 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15797,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15798,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 12.75/12.94 tff(15799,plain,
% 12.75/12.94 (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15798, 13519, 15795])).
% 12.75/12.94 tff(15800,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15801,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15802,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 12.75/12.94 tff(15803,plain,
% 12.75/12.94 (~node79(c_s, s9)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15802, 13587, 15799])).
% 12.75/12.94 tff(15804,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15805,plain,
% 12.75/12.94 ((m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf) | (~node80(c_s, s9))) <=> ((~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15806,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf) | (~node80(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15805])).
% 12.75/12.94 tff(15807,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf) | (~node80(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(transitivity,[status(thm)],[15806, 15804])).
% 12.75/12.94 tff(15808,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf) | (~node80(c_s, s9)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15809,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 12.75/12.94 tff(15810,plain,
% 12.75/12.94 (~node80(c_s, s9)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15809, 13537, 15799])).
% 12.75/12.94 tff(15811,plain,
% 12.75/12.94 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15812,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15813,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 12.75/12.94 tff(15814,plain,
% 12.75/12.94 (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15813, 12201, 15795])).
% 12.75/12.94 tff(15815,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15816,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15817,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s9)) | m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_ovb)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15816, 15815])).
% 12.75/12.94 tff(15818,plain,
% 12.75/12.94 (~node77(c_s, s9)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15817, 14477, 15814])).
% 12.75/12.94 tff(15819,plain,
% 12.75/12.94 (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_CVM(c_s, s7, c_down))),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15280, 15257, 15250, 15265])).
% 12.75/12.94 tff(15820,plain,
% 12.75/12.94 (~m_state_v_CVM(c_s, s7, c_down)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15819, 15054])).
% 12.75/12.94 tff(15821,plain,
% 12.75/12.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15822,plain,
% 12.75/12.94 (((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down))) <=> (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15823,plain,
% 12.75/12.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8))))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15822])).
% 12.75/12.94 tff(15824,plain,
% 12.75/12.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 12.75/12.94 inference(transitivity,[status(thm)],[15823, 15821])).
% 12.75/12.94 tff(15825,plain,
% 12.75/12.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15826,plain,
% 12.75/12.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 12.75/12.94 tff(15827,plain,
% 12.75/12.94 (~m_state_v_CVM(c_s, s8, c_down)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15826, 12838, 15820, 15135])).
% 12.75/12.94 tff(15828,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15829,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15830,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 12.75/12.94 tff(15831,plain,
% 12.75/12.94 (~node78(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15830, 12897, 15827])).
% 12.75/12.94 tff(15832,plain,
% 12.75/12.94 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15833,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15834,plain,
% 12.75/12.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_sd))),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15833, 15832])).
% 12.75/12.94 tff(15835,plain,
% 12.75/12.94 (~m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15834, 13519, 14980])).
% 12.75/12.94 tff(15836,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15837,plain,
% 12.75/12.94 ((m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf) | (~node80(c_s, s8))) <=> ((~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15838,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf) | (~node80(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15837])).
% 12.75/12.94 tff(15839,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf) | (~node80(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(transitivity,[status(thm)],[15838, 15836])).
% 12.75/12.94 tff(15840,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf) | (~node80(c_s, s8)))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15841,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15840, 15839])).
% 12.75/12.94 tff(15842,plain,
% 12.75/12.94 (~node80(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15841, 13537, 15835])).
% 12.75/12.94 tff(15843,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15844,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15845,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovf)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 12.75/12.94 tff(15846,plain,
% 12.75/12.94 (~node79(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15845, 13587, 15835])).
% 12.75/12.94 tff(15847,plain,
% 12.75/12.94 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15848,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15849,plain,
% 12.75/12.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s8)) | m_state_v_gripper_status(c_s, s8, c_gripperstoppedat_ovb)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 12.75/12.94 tff(15850,plain,
% 12.75/12.94 (~node77(c_s, s8)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15849, 14477, 14984])).
% 12.75/12.94 tff(15851,plain,
% 12.75/12.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15852,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))),
% 12.75/12.94 inference(quant_inst,[status(thm)],[])).
% 12.75/12.94 tff(15853,plain,
% 12.75/12.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9)),
% 12.75/12.94 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 12.75/12.94 tff(15854,plain,
% 12.75/12.94 (node82(c_s, s8, s9)),
% 12.75/12.94 inference(unit_resolution,[status(thm)],[15853, 28, 12044, 5508])).
% 12.75/12.94 tff(15855,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15856,plain,
% 12.75/12.94 ((node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9))) <=> (node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))),
% 12.75/12.94 inference(rewrite,[status(thm)],[])).
% 12.75/12.94 tff(15857,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9))))),
% 12.75/12.94 inference(monotonicity,[status(thm)],[15856])).
% 12.75/12.94 tff(15858,plain,
% 12.75/12.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15857, 15855])).
% 12.75/12.95 tff(15859,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15860,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15859, 15858])).
% 12.75/12.95 tff(15861,plain,
% 12.75/12.95 (node78(c_s, s8) | node80(c_s, s8) | node77(c_s, s8) | node79(c_s, s8) | node81(c_s, s8, s9)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15860, 12326, 15854])).
% 12.75/12.95 tff(15862,plain,
% 12.75/12.95 (node78(c_s, s8) | node81(c_s, s8, s9)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15861, 15850, 15846, 15842])).
% 12.75/12.95 tff(15863,plain,
% 12.75/12.95 (node81(c_s, s8, s9)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15862, 15831])).
% 12.75/12.95 tff(15864,assumption,(node81(c_s, s8, s9)), introduced(assumption)).
% 12.75/12.95 tff(15865,assumption,(~m_state_v_gvp(c_s, s9, c_sd)), introduced(assumption)).
% 12.75/12.95 tff(15866,assumption,(m_state_v_gvp(c_s, s8, c_sd)), introduced(assumption)).
% 12.75/12.95 tff(15867,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15868,plain,
% 12.75/12.95 (((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd)) <=> (m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15869,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15868])).
% 12.75/12.95 tff(15870,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15869, 15867])).
% 12.75/12.95 tff(15871,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15872,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s9, c_sd) | (~m_state_v_gvp(c_s, s8, c_sd)) | (~node81(c_s, s8, s9))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 12.75/12.95 tff(15873,plain,
% 12.75/12.95 ($false),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15872, 12343, 15866, 15865, 15864])).
% 12.75/12.95 tff(15874,plain,((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.75/12.95 tff(15875,plain,
% 12.75/12.95 (m_state_v_gvp(c_s, s9, c_sd)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15874, 15863, 15050])).
% 12.75/12.95 tff(15876,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15877,plain,
% 12.75/12.95 (((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb))) <=> ((~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15878,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15877])).
% 12.75/12.95 tff(15879,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15878, 15876])).
% 12.75/12.95 tff(15880,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15881,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s9, c_ovb)) | m_state_v_gvp(c_s, s8, c_ovb) | (~node81(c_s, s8, s9))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15880, 15879])).
% 12.75/12.95 tff(15882,plain,
% 12.75/12.95 (~m_state_v_gvp(c_s, s9, c_ovb)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15881, 12428, 15290, 15863])).
% 12.75/12.95 tff(15883,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15884,plain,
% 12.75/12.95 (((~node81(c_s, s9, s1)) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb))) <=> (m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15885,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s9, s1)) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15884])).
% 12.75/12.95 tff(15886,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s9, s1)) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15885, 15883])).
% 12.75/12.95 tff(15887,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s9, s1)) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15888,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s9, c_ovb) | (~m_state_v_gvp(c_s, s1, c_ovb)) | (~node81(c_s, s9, s1))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 12.75/12.95 tff(15889,plain,
% 12.75/12.95 (m_state_v_gvp(c_s, s9, c_ovb) | (~node81(c_s, s9, s1))),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15888, 12428, 12351])).
% 12.75/12.95 tff(15890,plain,
% 12.75/12.95 (~node81(c_s, s9, s1)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15889, 15882])).
% 12.75/12.95 tff(15891,assumption,(node82(c_s, s9, s1)), introduced(assumption)).
% 12.75/12.95 tff(15892,assumption,(~node79(c_s, s9)), introduced(assumption)).
% 12.75/12.95 tff(15893,assumption,(~node80(c_s, s9)), introduced(assumption)).
% 12.75/12.95 tff(15894,assumption,(~node81(c_s, s9, s1)), introduced(assumption)).
% 12.75/12.95 tff(15895,assumption,(~node77(c_s, s9)), introduced(assumption)).
% 12.75/12.95 tff(15896,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15897,plain,
% 12.75/12.95 ((node77(c_s, s9) | node78(c_s, s9) | node79(c_s, s9) | node80(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1))) <=> (node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15898,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s9) | node78(c_s, s9) | node79(c_s, s9) | node80(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15897])).
% 12.75/12.95 tff(15899,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s9) | node78(c_s, s9) | node79(c_s, s9) | node80(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15898, 15896])).
% 12.75/12.95 tff(15900,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s9) | node78(c_s, s9) | node79(c_s, s9) | node80(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15901,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s9) | node77(c_s, s9) | node79(c_s, s9) | node78(c_s, s9) | node81(c_s, s9, s1) | (~node82(c_s, s9, s1))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 12.75/12.95 tff(15902,plain,
% 12.75/12.95 (node78(c_s, s9) | (~node82(c_s, s9, s1))),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15901, 12326, 15895, 15894, 15893, 15892])).
% 12.75/12.95 tff(15903,plain,
% 12.75/12.95 (node78(c_s, s9)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15902, 15891])).
% 12.75/12.95 tff(15904,assumption,(m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)), introduced(assumption)).
% 12.75/12.95 tff(15905,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15906,plain,
% 12.75/12.95 (((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf))) <=> (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15907,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15906])).
% 12.75/12.95 tff(15908,plain,
% 12.75/12.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15907, 15905])).
% 12.75/12.95 tff(15909,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15910,plain,
% 12.75/12.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 12.75/12.95 tff(15911,plain,
% 12.75/12.95 (~m_state_v_gvp(c_s, s1, c_ovf)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15910, 12428, 12271, 12333])).
% 12.75/12.95 tff(15912,assumption,(m_state_v_gvp(c_s, s9, c_sd)), introduced(assumption)).
% 12.75/12.95 tff(15913,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15914,plain,
% 12.75/12.95 (((~m_state_v_gvp(c_s, s9, c_sd)) | node77(c_s, s9) | (~node82(c_s, s9, s1)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_CVM(c_s, s9, c_down)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd))) <=> ((~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15915,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | node77(c_s, s9) | (~node82(c_s, s9, s1)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_CVM(c_s, s9, c_down)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1))))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15914])).
% 12.75/12.95 tff(15916,plain,
% 12.75/12.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | node77(c_s, s9) | (~node82(c_s, s9, s1)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_CVM(c_s, s9, c_down)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1)))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15915, 15913])).
% 12.75/12.95 tff(15917,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | node77(c_s, s9) | (~node82(c_s, s9, s1)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_CVM(c_s, s9, c_down)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15918,plain,
% 12.75/12.95 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | node77(J0, X) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_ovf) | (~m_state_v_CVM(J0, X, c_down)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_sd)))) | (~m_state_v_CVM(c_s, s9, c_down)) | node77(c_s, s9) | (~m_state_v_gvp(c_s, s9, c_sd)) | m_state_v_gvp(c_s, s1, c_ovf) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | (~node82(c_s, s9, s1))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 12.75/12.95 tff(15919,plain,
% 12.75/12.95 (~m_state_v_CVM(c_s, s9, c_down)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15918, 13552, 15912, 15911, 15904, 15895, 15891])).
% 12.75/12.95 tff(15920,plain,
% 12.75/12.95 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s9)) | m_state_v_CVM(c_s, s9, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s9)) | m_state_v_CVM(c_s, s9, c_down))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15921,plain,
% 12.75/12.95 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s9)) | m_state_v_CVM(c_s, s9, c_down))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15922,plain,
% 12.75/12.95 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s9)) | m_state_v_CVM(c_s, s9, c_down)),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 12.75/12.95 tff(15923,plain,
% 12.75/12.95 ($false),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15922, 12897, 15919, 15903])).
% 12.75/12.95 tff(15924,plain,((~node82(c_s, s9, s1)) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_gripper_status(c_s, s9, c_gripperstoppedat_sd)) | node77(c_s, s9) | node81(c_s, s9, s1) | node80(c_s, s9) | node79(c_s, s9)), inference(lemma,lemma(discharge,[]))).
% 12.75/12.95 tff(15925,plain,
% 12.75/12.95 (~node82(c_s, s9, s1)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15924, 15890, 15795, 15875, 15818, 15810, 15803])).
% 12.75/12.95 tff(15926,assumption,(~node82(c_s, s9, s1)), introduced(assumption)).
% 12.75/12.95 tff(15927,assumption,(trans(s9, s1)), introduced(assumption)).
% 12.75/12.95 tff(15928,plain,
% 12.75/12.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15929,plain,
% 12.75/12.95 (((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s9, s1)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15930,plain,
% 12.75/12.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1)))),
% 12.75/12.95 inference(monotonicity,[status(thm)],[15929])).
% 12.75/12.95 tff(15931,plain,
% 12.75/12.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1))),
% 12.75/12.95 inference(transitivity,[status(thm)],[15930, 15928])).
% 12.75/12.95 tff(15932,plain,
% 12.75/12.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s9, s1))),
% 12.75/12.95 inference(quant_inst,[status(thm)],[])).
% 12.75/12.95 tff(15933,plain,
% 12.75/12.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node82(c_s, s9, s1)),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 12.75/12.95 tff(15934,plain,
% 12.75/12.95 ($false),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15933, 15927, 28, 12044, 15926])).
% 12.75/12.95 tff(15935,plain,(node82(c_s, s9, s1) | (~trans(s9, s1))), inference(lemma,lemma(discharge,[]))).
% 12.75/12.95 tff(15936,plain,
% 12.75/12.95 (~trans(s9, s1)),
% 12.75/12.95 inference(unit_resolution,[status(thm)],[15935, 15925])).
% 12.75/12.95 tff(15937,assumption,(~loop), introduced(assumption)).
% 12.75/12.95 tff(15938,plain,
% 12.75/12.95 (^[X: $i] : refl((loop | (~last(X)) | (~always212(X))) <=> (loop | (~last(X)) | (~always212(X))))),
% 12.75/12.95 inference(bind,[status(th)],[])).
% 12.75/12.95 tff(15939,plain,
% 12.75/12.95 (![X: $i] : (loop | (~last(X)) | (~always212(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.95 inference(quant_intro,[status(thm)],[15938])).
% 12.75/12.95 tff(15940,plain,
% 12.75/12.95 (![X: $i] : (loop | (~last(X)) | (~always212(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.95 inference(rewrite,[status(thm)],[])).
% 12.75/12.95 tff(15941,plain,
% 12.75/12.95 (^[X: $i] : rewrite(((loop | (~always212(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always212(X))))),
% 12.75/12.95 inference(bind,[status(th)],[])).
% 12.75/12.95 tff(15942,plain,
% 12.75/12.95 (![X: $i] : ((loop | (~always212(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.95 inference(quant_intro,[status(thm)],[15941])).
% 12.75/12.95 tff(15943,axiom,(![X: $i] : ((loop | (~always212(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty89')).
% 12.75/12.95 tff(15944,plain,
% 12.75/12.95 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.95 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 12.75/12.96 tff(15945,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15944, 15940])).
% 12.75/12.96 tff(15946,plain,(
% 12.75/12.96 ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[15945])).
% 12.75/12.96 tff(15947,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15946, 15939])).
% 12.75/12.96 tff(15948,plain,
% 12.75/12.96 (last(s9) <=> last(s9)),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15949,axiom,(last(s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 12.75/12.96 tff(15950,plain,
% 12.75/12.96 (last(s9)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15949, 15948])).
% 12.75/12.96 tff(15951,plain,
% 12.75/12.96 (((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | (loop | (~last(s9)) | (~always212(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | loop | (~last(s9)) | (~always212(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15952,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | (loop | (~last(s9)) | (~always212(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(15953,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | loop | (~last(s9)) | (~always212(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 12.75/12.96 tff(15954,plain,
% 12.75/12.96 (loop | (~always212(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15953, 15950, 15947])).
% 12.75/12.96 tff(15955,plain,
% 12.75/12.96 (~always212(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15954, 15937])).
% 12.75/12.96 tff(15956,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ((~trans(X, Y)) | always212(Y) | (~always212(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(15957,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[15956])).
% 12.75/12.96 tff(15958,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15959,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : rewrite(((always212(Y) | (~trans(X, Y))) | (~always212(X))) <=> ((~trans(X, Y)) | always212(Y) | (~always212(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(15960,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((always212(Y) | (~trans(X, Y))) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[15959])).
% 12.75/12.96 tff(15961,axiom,(![Y: $i, X: $i] : ((always212(Y) | (~trans(X, Y))) | (~always212(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty88')).
% 12.75/12.96 tff(15962,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 12.75/12.96 tff(15963,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15962, 15958])).
% 12.75/12.96 tff(15964,plain,(
% 12.75/12.96 ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[15963])).
% 12.75/12.96 tff(15965,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15964, 15957])).
% 12.75/12.96 tff(15966,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (always212(s9) | (~trans(s8, s9)) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15967,plain,
% 12.75/12.96 (((~trans(s8, s9)) | always212(s9) | (~always212(s8))) <=> (always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15968,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (always212(s9) | (~trans(s8, s9)) | (~always212(s8))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[15967])).
% 12.75/12.96 tff(15969,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[15968, 15966])).
% 12.75/12.96 tff(15970,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(15971,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15970, 15969])).
% 12.75/12.96 tff(15972,plain,
% 12.75/12.96 (always212(s9) | (~always212(s8))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15971, 15965, 5508])).
% 12.75/12.96 tff(15973,plain,
% 12.75/12.96 (~always212(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15972, 15955])).
% 12.75/12.96 tff(15974,plain,
% 12.75/12.96 (^[X: $i] : refl((always212(X) | (~node213(X))) <=> (always212(X) | (~node213(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(15975,plain,
% 12.75/12.96 (![X: $i] : (always212(X) | (~node213(X))) <=> ![X: $i] : (always212(X) | (~node213(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[15974])).
% 12.75/12.96 tff(15976,plain,
% 12.75/12.96 (![X: $i] : (always212(X) | (~node213(X))) <=> ![X: $i] : (always212(X) | (~node213(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15977,axiom,(![X: $i] : (always212(X) | (~node213(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty96')).
% 12.75/12.96 tff(15978,plain,
% 12.75/12.96 (![X: $i] : (always212(X) | (~node213(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 12.75/12.96 tff(15979,plain,(
% 12.75/12.96 ![X: $i] : (always212(X) | (~node213(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[15978])).
% 12.75/12.96 tff(15980,plain,
% 12.75/12.96 (![X: $i] : (always212(X) | (~node213(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15979, 15975])).
% 12.75/12.96 tff(15981,plain,
% 12.75/12.96 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s8) | (~node213(s8)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s8) | (~node213(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15982,plain,
% 12.75/12.96 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s8) | (~node213(s8)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(15983,plain,
% 12.75/12.96 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s8) | (~node213(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 12.75/12.96 tff(15984,plain,
% 12.75/12.96 (~node213(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15983, 15980, 15973])).
% 12.75/12.96 tff(15985,plain,
% 12.75/12.96 (^[X: $i] : refl((loop | (~last(X)) | (~always214(X))) <=> (loop | (~last(X)) | (~always214(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(15986,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always214(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[15985])).
% 12.75/12.96 tff(15987,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always214(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15988,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((loop | (~always214(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always214(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(15989,plain,
% 12.75/12.96 (![X: $i] : ((loop | (~always214(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[15988])).
% 12.75/12.96 tff(15990,axiom,(![X: $i] : ((loop | (~always214(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty99')).
% 12.75/12.96 tff(15991,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15990, 15989])).
% 12.75/12.96 tff(15992,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15991, 15987])).
% 12.75/12.96 tff(15993,plain,(
% 12.75/12.96 ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[15992])).
% 12.75/12.96 tff(15994,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15993, 15986])).
% 12.75/12.96 tff(15995,plain,
% 12.75/12.96 (((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | (loop | (~last(s9)) | (~always214(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | loop | (~last(s9)) | (~always214(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(15996,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | (loop | (~last(s9)) | (~always214(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(15997,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | loop | (~last(s9)) | (~always214(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 12.75/12.96 tff(15998,plain,
% 12.75/12.96 (loop | (~always214(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15997, 15950, 15994])).
% 12.75/12.96 tff(15999,plain,
% 12.75/12.96 (~always214(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[15998, 15937])).
% 12.75/12.96 tff(16000,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ((~trans(X, Y)) | (~always214(X)) | always214(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16001,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16000])).
% 12.75/12.96 tff(16002,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16003,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : rewrite(((always214(Y) | (~trans(X, Y))) | (~always214(X))) <=> ((~trans(X, Y)) | (~always214(X)) | always214(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16004,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((always214(Y) | (~trans(X, Y))) | (~always214(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16003])).
% 12.75/12.96 tff(16005,axiom,(![Y: $i, X: $i] : ((always214(Y) | (~trans(X, Y))) | (~always214(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty98')).
% 12.75/12.96 tff(16006,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 12.75/12.96 tff(16007,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16006, 16002])).
% 12.75/12.96 tff(16008,plain,(
% 12.75/12.96 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16007])).
% 12.75/12.96 tff(16009,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16008, 16001])).
% 12.75/12.96 tff(16010,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (always214(s9) | (~trans(s8, s9)) | (~always214(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16011,plain,
% 12.75/12.96 (((~trans(s8, s9)) | (~always214(s8)) | always214(s9)) <=> (always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16012,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (always214(s9) | (~trans(s8, s9)) | (~always214(s8))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[16011])).
% 12.75/12.96 tff(16013,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[16012, 16010])).
% 12.75/12.96 tff(16014,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16015,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16014, 16013])).
% 12.75/12.96 tff(16016,plain,
% 12.75/12.96 (always214(s9) | (~always214(s8))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16015, 16009, 5508])).
% 12.75/12.96 tff(16017,plain,
% 12.75/12.96 (~always214(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16016, 15999])).
% 12.75/12.96 tff(16018,plain,
% 12.75/12.96 (^[X: $i] : refl((always214(X) | (~node215(X))) <=> (always214(X) | (~node215(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16019,plain,
% 12.75/12.96 (![X: $i] : (always214(X) | (~node215(X))) <=> ![X: $i] : (always214(X) | (~node215(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16018])).
% 12.75/12.96 tff(16020,plain,
% 12.75/12.96 (![X: $i] : (always214(X) | (~node215(X))) <=> ![X: $i] : (always214(X) | (~node215(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16021,axiom,(![X: $i] : (always214(X) | (~node215(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty103')).
% 12.75/12.96 tff(16022,plain,
% 12.75/12.96 (![X: $i] : (always214(X) | (~node215(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 12.75/12.96 tff(16023,plain,(
% 12.75/12.96 ![X: $i] : (always214(X) | (~node215(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16022])).
% 12.75/12.96 tff(16024,plain,
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% 12.75/12.96 inference(modus_ponens,[status(thm)],[16023, 16019])).
% 12.75/12.96 tff(16025,plain,
% 12.75/12.96 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s8) | (~node215(s8)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s8) | (~node215(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16026,plain,
% 12.75/12.96 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s8) | (~node215(s8)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16027,plain,
% 12.75/12.96 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s8) | (~node215(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 12.75/12.96 tff(16028,plain,
% 12.75/12.96 (~node215(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16027, 16024, 16017])).
% 12.75/12.96 tff(16029,plain,
% 12.75/12.96 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s9) | (~node215(s9)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s9) | (~node215(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16030,plain,
% 12.75/12.96 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s9) | (~node215(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16031,plain,
% 12.75/12.96 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s9) | (~node215(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 12.75/12.96 tff(16032,plain,
% 12.75/12.96 (~node215(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16031, 16024, 15999])).
% 12.75/12.96 tff(16033,plain,
% 12.75/12.96 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil217(X))) <=> (loop | (~last(X)) | (~xuntil217(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16034,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16033])).
% 12.75/12.96 tff(16035,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16036,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil217(X))) <=> (loop | (~last(X)) | (~xuntil217(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16037,plain,
% 12.75/12.96 (![X: $i] : ((loop | (~last(X))) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16036])).
% 12.75/12.96 tff(16038,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil217(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty106')).
% 12.75/12.96 tff(16039,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 12.75/12.96 tff(16040,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16039, 16035])).
% 12.75/12.96 tff(16041,plain,(
% 12.75/12.96 ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16040])).
% 12.75/12.96 tff(16042,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16041, 16034])).
% 12.75/12.96 tff(16043,plain,
% 12.75/12.96 (((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | (loop | (~last(s9)) | (~xuntil217(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | loop | (~last(s9)) | (~xuntil217(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16044,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | (loop | (~last(s9)) | (~xuntil217(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16045,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | loop | (~last(s9)) | (~xuntil217(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 12.75/12.96 tff(16046,plain,
% 12.75/12.96 (loop | (~xuntil217(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16045, 15950, 16042])).
% 12.75/12.96 tff(16047,plain,
% 12.75/12.96 (~xuntil217(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16046, 15937])).
% 12.75/12.96 tff(16048,plain,
% 12.75/12.96 (^[X: $i] : refl((node215(X) | (~until216(X)) | xuntil217(X)) <=> (node215(X) | (~until216(X)) | xuntil217(X)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16049,plain,
% 12.75/12.96 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X)) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16048])).
% 12.75/12.96 tff(16050,plain,
% 12.75/12.96 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X)) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16051,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((node215(X) | xuntil217(X)) | (~until216(X))) <=> (node215(X) | (~until216(X)) | xuntil217(X)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16052,plain,
% 12.75/12.96 (![X: $i] : ((node215(X) | xuntil217(X)) | (~until216(X))) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16051])).
% 12.75/12.96 tff(16053,axiom,(![X: $i] : ((node215(X) | xuntil217(X)) | (~until216(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty104')).
% 12.75/12.96 tff(16054,plain,
% 12.75/12.96 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 12.75/12.96 tff(16055,plain,
% 12.75/12.96 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16054, 16050])).
% 12.75/12.96 tff(16056,plain,(
% 12.75/12.96 ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16055])).
% 12.75/12.96 tff(16057,plain,
% 12.75/12.96 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16056, 16049])).
% 12.75/12.96 tff(16058,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s9) | node215(s9) | (~until216(s9)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16059,plain,
% 12.75/12.96 ((node215(s9) | (~until216(s9)) | xuntil217(s9)) <=> (xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16060,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s9) | node215(s9) | (~until216(s9))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[16059])).
% 12.75/12.96 tff(16061,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[16060, 16058])).
% 12.75/12.96 tff(16062,plain,
% 12.75/12.96 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16063,plain,
% 12.75/12.96 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 12.75/12.96 tff(16064,plain,
% 12.75/12.96 (node215(s9) | (~until216(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16063, 16057, 16047])).
% 12.75/12.96 tff(16065,plain,
% 12.75/12.96 (~until216(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16064, 16032])).
% 12.75/12.96 tff(16066,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16067,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16066])).
% 12.75/12.96 tff(16068,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16069,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : rewrite(((until216(Y) | (~succ(X, Y))) | (~xuntil217(X))) <=> ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16070,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((until216(Y) | (~succ(X, Y))) | (~xuntil217(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16069])).
% 12.75/12.96 tff(16071,axiom,(![Y: $i, X: $i] : ((until216(Y) | (~succ(X, Y))) | (~xuntil217(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty105')).
% 12.75/12.96 tff(16072,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16071, 16070])).
% 12.75/12.96 tff(16073,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16072, 16068])).
% 12.75/12.96 tff(16074,plain,(
% 12.75/12.96 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16073])).
% 12.75/12.96 tff(16075,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16074, 16067])).
% 12.75/12.96 tff(16076,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16077,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16078,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 12.75/12.96 tff(16079,plain,
% 12.75/12.96 ((~xuntil217(s8)) | until216(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16078, 5504, 16075])).
% 12.75/12.96 tff(16080,plain,
% 12.75/12.96 (~xuntil217(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16079, 16065])).
% 12.75/12.96 tff(16081,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s8) | node215(s8) | (~until216(s8)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16082,plain,
% 12.75/12.96 ((node215(s8) | (~until216(s8)) | xuntil217(s8)) <=> (xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16083,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s8) | node215(s8) | (~until216(s8))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[16082])).
% 12.75/12.96 tff(16084,plain,
% 12.75/12.96 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[16083, 16081])).
% 12.75/12.96 tff(16085,plain,
% 12.75/12.96 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16086,plain,
% 12.75/12.96 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 12.75/12.96 tff(16087,plain,
% 12.75/12.96 (~until216(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16086, 16057, 16080, 16028])).
% 12.75/12.96 tff(16088,plain,
% 12.75/12.96 (^[X: $i] : refl((node213(X) | until216(X) | (~node220(X))) <=> (node213(X) | until216(X) | (~node220(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16089,plain,
% 12.75/12.96 (![X: $i] : (node213(X) | until216(X) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16088])).
% 12.75/12.96 tff(16090,plain,
% 12.75/12.96 (![X: $i] : (node213(X) | until216(X) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16091,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((node213(X) | until216(X)) | (~node220(X))) <=> (node213(X) | until216(X) | (~node220(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16092,plain,
% 12.75/12.96 (![X: $i] : ((node213(X) | until216(X)) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16091])).
% 12.75/12.96 tff(16093,axiom,(![X: $i] : ((node213(X) | until216(X)) | (~node220(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty111')).
% 12.75/12.96 tff(16094,plain,
% 12.75/12.96 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 12.75/12.96 tff(16095,plain,
% 12.75/12.96 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16094, 16090])).
% 12.75/12.96 tff(16096,plain,(
% 12.75/12.96 ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16095])).
% 12.75/12.96 tff(16097,plain,
% 12.75/12.96 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16096, 16089])).
% 12.75/12.96 tff(16098,plain,
% 12.75/12.96 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s8) | until216(s8) | (~node220(s8)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s8) | until216(s8) | (~node220(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16099,plain,
% 12.75/12.96 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s8) | until216(s8) | (~node220(s8)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16100,plain,
% 12.75/12.96 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s8) | until216(s8) | (~node220(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16099, 16098])).
% 12.75/12.96 tff(16101,plain,
% 12.75/12.96 (~node220(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16100, 16097, 16087, 15984])).
% 12.75/12.96 tff(16102,plain,
% 12.75/12.96 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s9) | (~node213(s9)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s9) | (~node213(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16103,plain,
% 12.75/12.96 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s9) | (~node213(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16104,plain,
% 12.75/12.96 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s9) | (~node213(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16103, 16102])).
% 12.75/12.96 tff(16105,plain,
% 12.75/12.96 (~node213(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16104, 15980, 15955])).
% 12.75/12.96 tff(16106,plain,
% 12.75/12.96 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s9) | until216(s9) | (~node220(s9)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s9) | until216(s9) | (~node220(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16107,plain,
% 12.75/12.96 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s9) | until216(s9) | (~node220(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16108,plain,
% 12.75/12.96 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s9) | until216(s9) | (~node220(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 12.75/12.96 tff(16109,plain,
% 12.75/12.96 (~node220(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16108, 16097, 16065, 16105])).
% 12.75/12.96 tff(16110,plain,
% 12.75/12.96 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil222(X))) <=> (loop | (~last(X)) | (~xuntil222(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16111,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16110])).
% 12.75/12.96 tff(16112,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16113,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil222(X))) <=> (loop | (~last(X)) | (~xuntil222(X))))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16114,plain,
% 12.75/12.96 (![X: $i] : ((loop | (~last(X))) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16113])).
% 12.75/12.96 tff(16115,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil222(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty114')).
% 12.75/12.96 tff(16116,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 12.75/12.96 tff(16117,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16116, 16112])).
% 12.75/12.96 tff(16118,plain,(
% 12.75/12.96 ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16117])).
% 12.75/12.96 tff(16119,plain,
% 12.75/12.96 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16118, 16111])).
% 12.75/12.96 tff(16120,plain,
% 12.75/12.96 (((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | (loop | (~last(s9)) | (~xuntil222(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | loop | (~last(s9)) | (~xuntil222(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16121,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | (loop | (~last(s9)) | (~xuntil222(s9)))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16122,plain,
% 12.75/12.96 ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | loop | (~last(s9)) | (~xuntil222(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 12.75/12.96 tff(16123,plain,
% 12.75/12.96 (loop | (~xuntil222(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16122, 15950, 16119])).
% 12.75/12.96 tff(16124,plain,
% 12.75/12.96 (~xuntil222(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16123, 15937])).
% 12.75/12.96 tff(16125,plain,
% 12.75/12.96 (^[X: $i] : refl((node220(X) | (~until221(X)) | xuntil222(X)) <=> (node220(X) | (~until221(X)) | xuntil222(X)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16126,plain,
% 12.75/12.96 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X)) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16125])).
% 12.75/12.96 tff(16127,plain,
% 12.75/12.96 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X)) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16128,plain,
% 12.75/12.96 (^[X: $i] : rewrite(((node220(X) | xuntil222(X)) | (~until221(X))) <=> (node220(X) | (~until221(X)) | xuntil222(X)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16129,plain,
% 12.75/12.96 (![X: $i] : ((node220(X) | xuntil222(X)) | (~until221(X))) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16128])).
% 12.75/12.96 tff(16130,axiom,(![X: $i] : ((node220(X) | xuntil222(X)) | (~until221(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty112')).
% 12.75/12.96 tff(16131,plain,
% 12.75/12.96 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 12.75/12.96 tff(16132,plain,
% 12.75/12.96 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16131, 16127])).
% 12.75/12.96 tff(16133,plain,(
% 12.75/12.96 ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16132])).
% 12.75/12.96 tff(16134,plain,
% 12.75/12.96 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16133, 16126])).
% 12.75/12.96 tff(16135,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s9) | node220(s9) | (~until221(s9)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16136,plain,
% 12.75/12.96 ((node220(s9) | (~until221(s9)) | xuntil222(s9)) <=> (xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16137,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s9) | node220(s9) | (~until221(s9))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[16136])).
% 12.75/12.96 tff(16138,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[16137, 16135])).
% 12.75/12.96 tff(16139,plain,
% 12.75/12.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16140,plain,
% 12.75/12.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 12.75/12.96 tff(16141,plain,
% 12.75/12.96 (node220(s9) | (~until221(s9))),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16140, 16134, 16124])).
% 12.75/12.96 tff(16142,plain,
% 12.75/12.96 (~until221(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16141, 16109])).
% 12.75/12.96 tff(16143,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16144,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16143])).
% 12.75/12.96 tff(16145,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16146,plain,
% 12.75/12.96 (^[Y: $i, X: $i] : rewrite(((until221(Y) | (~succ(X, Y))) | (~xuntil222(X))) <=> ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)))),
% 12.75/12.96 inference(bind,[status(th)],[])).
% 12.75/12.96 tff(16147,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((until221(Y) | (~succ(X, Y))) | (~xuntil222(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(quant_intro,[status(thm)],[16146])).
% 12.75/12.96 tff(16148,axiom,(![Y: $i, X: $i] : ((until221(Y) | (~succ(X, Y))) | (~xuntil222(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty113')).
% 12.75/12.96 tff(16149,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16148, 16147])).
% 12.75/12.96 tff(16150,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16149, 16145])).
% 12.75/12.96 tff(16151,plain,(
% 12.75/12.96 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(skolemize,[status(sab)],[16150])).
% 12.75/12.96 tff(16152,plain,
% 12.75/12.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16151, 16144])).
% 12.75/12.96 tff(16153,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16154,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16155,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 12.75/12.96 tff(16156,plain,
% 12.75/12.96 ((~xuntil222(s8)) | until221(s9)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16155, 5504, 16152])).
% 12.75/12.96 tff(16157,plain,
% 12.75/12.96 (~xuntil222(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16156, 16142])).
% 12.75/12.96 tff(16158,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s8) | node220(s8) | (~until221(s8)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16159,plain,
% 12.75/12.96 ((node220(s8) | (~until221(s8)) | xuntil222(s8)) <=> (xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16160,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s8) | node220(s8) | (~until221(s8))))),
% 12.75/12.96 inference(monotonicity,[status(thm)],[16159])).
% 12.75/12.96 tff(16161,plain,
% 12.75/12.96 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.75/12.96 inference(transitivity,[status(thm)],[16160, 16158])).
% 12.75/12.96 tff(16162,plain,
% 12.75/12.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16163,plain,
% 12.75/12.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8))),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 12.75/12.96 tff(16164,plain,
% 12.75/12.96 (~until221(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16163, 16134, 16157, 16101])).
% 12.75/12.96 tff(16165,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16166,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16167,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 12.75/12.96 tff(16168,plain,
% 12.75/12.96 ((~xuntil222(s7)) | until221(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16167, 5300, 16152])).
% 12.75/12.96 tff(16169,plain,
% 12.75/12.96 (~xuntil222(s7)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16168, 16164])).
% 12.75/12.96 tff(16170,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16171,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16172,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16171, 16170])).
% 12.75/12.96 tff(16173,plain,
% 12.75/12.96 ((~xuntil217(s7)) | until216(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16172, 5300, 16075])).
% 12.75/12.96 tff(16174,plain,
% 12.75/12.96 (~xuntil217(s7)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16173, 16087])).
% 12.75/12.96 tff(16175,plain,
% 12.75/12.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s7, s8)) | (~always214(s7)) | always214(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s7, s8)) | (~always214(s7)) | always214(s8))),
% 12.75/12.96 inference(rewrite,[status(thm)],[])).
% 12.75/12.96 tff(16176,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s7, s8)) | (~always214(s7)) | always214(s8))),
% 12.75/12.96 inference(quant_inst,[status(thm)],[])).
% 12.75/12.96 tff(16177,plain,
% 12.75/12.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s7, s8)) | (~always214(s7)) | always214(s8)),
% 12.75/12.96 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 12.75/12.96 tff(16178,plain,
% 12.75/12.96 ((~always214(s7)) | always214(s8)),
% 12.75/12.96 inference(unit_resolution,[status(thm)],[16177, 16009, 5304])).
% 12.75/12.97 tff(16179,plain,
% 12.75/12.97 (~always214(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16178, 16017])).
% 12.75/12.97 tff(16180,plain,
% 12.75/12.97 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s7) | (~node215(s7)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s7) | (~node215(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16181,plain,
% 12.75/12.97 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s7) | (~node215(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16182,plain,
% 12.75/12.97 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s7) | (~node215(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 12.75/12.97 tff(16183,plain,
% 12.75/12.97 (~node215(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16182, 16024, 16179])).
% 12.75/12.97 tff(16184,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s7) | node215(s7) | (~until216(s7)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16185,plain,
% 12.75/12.97 ((node215(s7) | (~until216(s7)) | xuntil217(s7)) <=> (xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16186,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s7) | node215(s7) | (~until216(s7))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16185])).
% 12.75/12.97 tff(16187,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16186, 16184])).
% 12.75/12.97 tff(16188,plain,
% 12.75/12.97 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16189,plain,
% 12.75/12.97 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 12.75/12.97 tff(16190,plain,
% 12.75/12.97 (xuntil217(s7) | (~until216(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16189, 16057, 16183])).
% 12.75/12.97 tff(16191,plain,
% 12.75/12.97 (~until216(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16190, 16174])).
% 12.75/12.97 tff(16192,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s7, s8)) | always212(s8) | (~always212(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s7, s8)) | always212(s8) | (~always212(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16193,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s7, s8)) | always212(s8) | (~always212(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16194,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s7, s8)) | always212(s8) | (~always212(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 12.75/12.97 tff(16195,plain,
% 12.75/12.97 (always212(s8) | (~always212(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16194, 15965, 5304])).
% 12.75/12.97 tff(16196,plain,
% 12.75/12.97 (~always212(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16195, 15973])).
% 12.75/12.97 tff(16197,plain,
% 12.75/12.97 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s7) | (~node213(s7)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s7) | (~node213(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16198,plain,
% 12.75/12.97 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s7) | (~node213(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16199,plain,
% 12.75/12.97 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s7) | (~node213(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 12.75/12.97 tff(16200,plain,
% 12.75/12.97 (~node213(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16199, 15980, 16196])).
% 12.75/12.97 tff(16201,plain,
% 12.75/12.97 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s7) | until216(s7) | (~node220(s7)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s7) | until216(s7) | (~node220(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16202,plain,
% 12.75/12.97 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s7) | until216(s7) | (~node220(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16203,plain,
% 12.75/12.97 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s7) | until216(s7) | (~node220(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 12.75/12.97 tff(16204,plain,
% 12.75/12.97 (until216(s7) | (~node220(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16203, 16097, 16200])).
% 12.75/12.97 tff(16205,plain,
% 12.75/12.97 (~node220(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16204, 16191])).
% 12.75/12.97 tff(16206,plain,
% 12.75/12.97 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s7) | node220(s7) | (~until221(s7)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16207,plain,
% 12.75/12.97 ((node220(s7) | (~until221(s7)) | xuntil222(s7)) <=> (xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16208,plain,
% 12.75/12.97 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s7) | node220(s7) | (~until221(s7))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16207])).
% 12.75/12.97 tff(16209,plain,
% 12.75/12.97 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16208, 16206])).
% 12.75/12.97 tff(16210,plain,
% 12.75/12.97 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16211,plain,
% 12.75/12.97 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 12.75/12.97 tff(16212,plain,
% 12.75/12.97 (xuntil222(s7) | (~until221(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16211, 16134, 16205])).
% 12.75/12.97 tff(16213,plain,
% 12.75/12.97 (~until221(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16212, 16169])).
% 12.75/12.97 tff(16214,plain,
% 12.75/12.97 (^[X: $i] : refl((loop | (~last(X)) | (~always210(X))) <=> (loop | (~last(X)) | (~always210(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16215,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~always210(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16214])).
% 12.75/12.97 tff(16216,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~always210(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16217,plain,
% 12.75/12.97 (^[X: $i] : rewrite(((loop | (~always210(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always210(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16218,plain,
% 12.75/12.97 (![X: $i] : ((loop | (~always210(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16217])).
% 12.75/12.97 tff(16219,axiom,(![X: $i] : ((loop | (~always210(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty83')).
% 12.75/12.97 tff(16220,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16219, 16218])).
% 12.75/12.97 tff(16221,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16220, 16216])).
% 12.75/12.97 tff(16222,plain,(
% 12.75/12.97 ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16221])).
% 12.75/12.97 tff(16223,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16222, 16215])).
% 12.75/12.97 tff(16224,plain,
% 12.75/12.97 (((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | (loop | (~last(s9)) | (~always210(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | loop | (~last(s9)) | (~always210(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16225,plain,
% 12.75/12.97 ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | (loop | (~last(s9)) | (~always210(s9)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16226,plain,
% 12.75/12.97 ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | loop | (~last(s9)) | (~always210(s9))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16225, 16224])).
% 12.75/12.97 tff(16227,plain,
% 12.75/12.97 (loop | (~always210(s9))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16226, 15950, 16223])).
% 12.75/12.97 tff(16228,plain,
% 12.75/12.97 (~always210(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16227, 15937])).
% 12.75/12.97 tff(16229,plain,
% 12.75/12.97 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ((~trans(X, Y)) | always210(Y) | (~always210(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16230,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16229])).
% 12.75/12.97 tff(16231,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16232,plain,
% 12.75/12.97 (^[Y: $i, X: $i] : rewrite(((always210(Y) | (~trans(X, Y))) | (~always210(X))) <=> ((~trans(X, Y)) | always210(Y) | (~always210(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16233,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((always210(Y) | (~trans(X, Y))) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16232])).
% 12.75/12.97 tff(16234,axiom,(![Y: $i, X: $i] : ((always210(Y) | (~trans(X, Y))) | (~always210(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty82')).
% 12.75/12.97 tff(16235,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 12.75/12.97 tff(16236,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16235, 16231])).
% 12.75/12.97 tff(16237,plain,(
% 12.75/12.97 ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16236])).
% 12.75/12.97 tff(16238,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16237, 16230])).
% 12.75/12.97 tff(16239,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (always210(s9) | (~trans(s8, s9)) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16240,plain,
% 12.75/12.97 (((~trans(s8, s9)) | always210(s9) | (~always210(s8))) <=> (always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16241,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (always210(s9) | (~trans(s8, s9)) | (~always210(s8))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16240])).
% 12.75/12.97 tff(16242,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16241, 16239])).
% 12.75/12.97 tff(16243,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16244,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16243, 16242])).
% 12.75/12.97 tff(16245,plain,
% 12.75/12.97 (always210(s9) | (~always210(s8))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16244, 16238, 5508])).
% 12.75/12.97 tff(16246,plain,
% 12.75/12.97 (~always210(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16245, 16228])).
% 12.75/12.97 tff(16247,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s7, s8)) | always210(s8) | (~always210(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s7, s8)) | always210(s8) | (~always210(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16248,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s7, s8)) | always210(s8) | (~always210(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16249,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s7, s8)) | always210(s8) | (~always210(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 12.75/12.97 tff(16250,plain,
% 12.75/12.97 (always210(s8) | (~always210(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16249, 16238, 5304])).
% 12.75/12.97 tff(16251,plain,
% 12.75/12.97 (~always210(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16250, 16246])).
% 12.75/12.97 tff(16252,plain,
% 12.75/12.97 (^[X: $i] : refl((always210(X) | (~node211(X))) <=> (always210(X) | (~node211(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16253,plain,
% 12.75/12.97 (![X: $i] : (always210(X) | (~node211(X))) <=> ![X: $i] : (always210(X) | (~node211(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16252])).
% 12.75/12.97 tff(16254,plain,
% 12.75/12.97 (![X: $i] : (always210(X) | (~node211(X))) <=> ![X: $i] : (always210(X) | (~node211(X)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16255,axiom,(![X: $i] : (always210(X) | (~node211(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty86')).
% 12.75/12.97 tff(16256,plain,
% 12.75/12.97 (![X: $i] : (always210(X) | (~node211(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 12.75/12.97 tff(16257,plain,(
% 12.75/12.97 ![X: $i] : (always210(X) | (~node211(X)))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16256])).
% 12.75/12.97 tff(16258,plain,
% 12.75/12.97 (![X: $i] : (always210(X) | (~node211(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16257, 16253])).
% 12.75/12.97 tff(16259,plain,
% 12.75/12.97 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s7) | (~node211(s7)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s7) | (~node211(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16260,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s7) | (~node211(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16261,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s7) | (~node211(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 12.75/12.97 tff(16262,plain,
% 12.75/12.97 (~node211(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16261, 16258, 16251])).
% 12.75/12.97 tff(16263,plain,
% 12.75/12.97 (^[X: $i] : refl((node211(X) | until221(X) | (~node225(X))) <=> (node211(X) | until221(X) | (~node225(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16264,plain,
% 12.75/12.97 (![X: $i] : (node211(X) | until221(X) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16263])).
% 12.75/12.97 tff(16265,plain,
% 12.75/12.97 (![X: $i] : (node211(X) | until221(X) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16266,plain,
% 12.75/12.97 (^[X: $i] : rewrite(((node211(X) | until221(X)) | (~node225(X))) <=> (node211(X) | until221(X) | (~node225(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16267,plain,
% 12.75/12.97 (![X: $i] : ((node211(X) | until221(X)) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16266])).
% 12.75/12.97 tff(16268,axiom,(![X: $i] : ((node211(X) | until221(X)) | (~node225(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty119')).
% 12.75/12.97 tff(16269,plain,
% 12.75/12.97 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 12.75/12.97 tff(16270,plain,
% 12.75/12.97 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16269, 16265])).
% 12.75/12.97 tff(16271,plain,(
% 12.75/12.97 ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16270])).
% 12.75/12.97 tff(16272,plain,
% 12.75/12.97 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16271, 16264])).
% 12.75/12.97 tff(16273,plain,
% 12.75/12.97 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s7) | until221(s7) | (~node225(s7)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s7) | until221(s7) | (~node225(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16274,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s7) | until221(s7) | (~node225(s7)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16275,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s7) | until221(s7) | (~node225(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 12.75/12.97 tff(16276,plain,
% 12.75/12.97 (until221(s7) | (~node225(s7))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16275, 16272, 16262])).
% 12.75/12.97 tff(16277,plain,
% 12.75/12.97 (~node225(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16276, 16213])).
% 12.75/12.97 tff(16278,plain,
% 12.75/12.97 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s8) | (~node211(s8)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s8) | (~node211(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16279,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s8) | (~node211(s8)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16280,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s8) | (~node211(s8))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 12.75/12.97 tff(16281,plain,
% 12.75/12.97 (~node211(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16280, 16258, 16246])).
% 12.75/12.97 tff(16282,plain,
% 12.75/12.97 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s8) | until221(s8) | (~node225(s8)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s8) | until221(s8) | (~node225(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16283,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s8) | until221(s8) | (~node225(s8)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16284,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s8) | until221(s8) | (~node225(s8))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 12.75/12.97 tff(16285,plain,
% 12.75/12.97 (until221(s8) | (~node225(s8))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16284, 16272, 16281])).
% 12.75/12.97 tff(16286,plain,
% 12.75/12.97 (~node225(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16285, 16164])).
% 12.75/12.97 tff(16287,plain,
% 12.75/12.97 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s9) | (~node211(s9)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s9) | (~node211(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16288,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s9) | (~node211(s9)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16289,plain,
% 12.75/12.97 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s9) | (~node211(s9))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16288, 16287])).
% 12.75/12.97 tff(16290,plain,
% 12.75/12.97 (~node211(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16289, 16258, 16228])).
% 12.75/12.97 tff(16291,plain,
% 12.75/12.97 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s9) | until221(s9) | (~node225(s9)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s9) | until221(s9) | (~node225(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16292,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s9) | until221(s9) | (~node225(s9)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16293,plain,
% 12.75/12.97 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s9) | until221(s9) | (~node225(s9))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 12.75/12.97 tff(16294,plain,
% 12.75/12.97 (until221(s9) | (~node225(s9))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16293, 16272, 16290])).
% 12.75/12.97 tff(16295,plain,
% 12.75/12.97 (~node225(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16294, 16142])).
% 12.75/12.97 tff(16296,plain,
% 12.75/12.97 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil227(X))) <=> (loop | (~last(X)) | (~xuntil227(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16297,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16296])).
% 12.75/12.97 tff(16298,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16299,plain,
% 12.75/12.97 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil227(X))) <=> (loop | (~last(X)) | (~xuntil227(X))))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16300,plain,
% 12.75/12.97 (![X: $i] : ((loop | (~last(X))) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16299])).
% 12.75/12.97 tff(16301,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil227(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty122')).
% 12.75/12.97 tff(16302,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 12.75/12.97 tff(16303,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16302, 16298])).
% 12.75/12.97 tff(16304,plain,(
% 12.75/12.97 ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16303])).
% 12.75/12.97 tff(16305,plain,
% 12.75/12.97 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16304, 16297])).
% 12.75/12.97 tff(16306,plain,
% 12.75/12.97 (((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | (loop | (~last(s9)) | (~xuntil227(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | loop | (~last(s9)) | (~xuntil227(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16307,plain,
% 12.75/12.97 ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | (loop | (~last(s9)) | (~xuntil227(s9)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16308,plain,
% 12.75/12.97 ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | loop | (~last(s9)) | (~xuntil227(s9))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 12.75/12.97 tff(16309,plain,
% 12.75/12.97 (loop | (~xuntil227(s9))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16308, 15950, 16305])).
% 12.75/12.97 tff(16310,plain,
% 12.75/12.97 (~xuntil227(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16309, 15937])).
% 12.75/12.97 tff(16311,plain,
% 12.75/12.97 (^[X: $i] : refl((node225(X) | (~until226(X)) | xuntil227(X)) <=> (node225(X) | (~until226(X)) | xuntil227(X)))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16312,plain,
% 12.75/12.97 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X)) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16311])).
% 12.75/12.97 tff(16313,plain,
% 12.75/12.97 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X)) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16314,plain,
% 12.75/12.97 (^[X: $i] : rewrite(((node225(X) | xuntil227(X)) | (~until226(X))) <=> (node225(X) | (~until226(X)) | xuntil227(X)))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16315,plain,
% 12.75/12.97 (![X: $i] : ((node225(X) | xuntil227(X)) | (~until226(X))) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16314])).
% 12.75/12.97 tff(16316,axiom,(![X: $i] : ((node225(X) | xuntil227(X)) | (~until226(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty120')).
% 12.75/12.97 tff(16317,plain,
% 12.75/12.97 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 12.75/12.97 tff(16318,plain,
% 12.75/12.97 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16317, 16313])).
% 12.75/12.97 tff(16319,plain,(
% 12.75/12.97 ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16318])).
% 12.75/12.97 tff(16320,plain,
% 12.75/12.97 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16319, 16312])).
% 12.75/12.97 tff(16321,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s9) | node225(s9) | (~until226(s9)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16322,plain,
% 12.75/12.97 ((node225(s9) | (~until226(s9)) | xuntil227(s9)) <=> (xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16323,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s9) | node225(s9) | (~until226(s9))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16322])).
% 12.75/12.97 tff(16324,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16323, 16321])).
% 12.75/12.97 tff(16325,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16326,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16325, 16324])).
% 12.75/12.97 tff(16327,plain,
% 12.75/12.97 (node225(s9) | (~until226(s9))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16326, 16320, 16310])).
% 12.75/12.97 tff(16328,plain,
% 12.75/12.97 (~until226(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16327, 16295])).
% 12.75/12.97 tff(16329,plain,
% 12.75/12.97 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16330,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16329])).
% 12.75/12.97 tff(16331,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16332,plain,
% 12.75/12.97 (^[Y: $i, X: $i] : rewrite(((until226(Y) | (~succ(X, Y))) | (~xuntil227(X))) <=> ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)))),
% 12.75/12.97 inference(bind,[status(th)],[])).
% 12.75/12.97 tff(16333,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((until226(Y) | (~succ(X, Y))) | (~xuntil227(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(quant_intro,[status(thm)],[16332])).
% 12.75/12.97 tff(16334,axiom,(![Y: $i, X: $i] : ((until226(Y) | (~succ(X, Y))) | (~xuntil227(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty121')).
% 12.75/12.97 tff(16335,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16334, 16333])).
% 12.75/12.97 tff(16336,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16335, 16331])).
% 12.75/12.97 tff(16337,plain,(
% 12.75/12.97 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(skolemize,[status(sab)],[16336])).
% 12.75/12.97 tff(16338,plain,
% 12.75/12.97 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16337, 16330])).
% 12.75/12.97 tff(16339,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16340,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16341,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16340, 16339])).
% 12.75/12.97 tff(16342,plain,
% 12.75/12.97 ((~xuntil227(s8)) | until226(s9)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16341, 5504, 16338])).
% 12.75/12.97 tff(16343,plain,
% 12.75/12.97 (~xuntil227(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16342, 16328])).
% 12.75/12.97 tff(16344,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s8) | node225(s8) | (~until226(s8)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16345,plain,
% 12.75/12.97 ((node225(s8) | (~until226(s8)) | xuntil227(s8)) <=> (xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16346,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s8) | node225(s8) | (~until226(s8))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16345])).
% 12.75/12.97 tff(16347,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16346, 16344])).
% 12.75/12.97 tff(16348,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16349,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 12.75/12.97 tff(16350,plain,
% 12.75/12.97 (node225(s8) | (~until226(s8))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16349, 16320, 16343])).
% 12.75/12.97 tff(16351,plain,
% 12.75/12.97 (~until226(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16350, 16286])).
% 12.75/12.97 tff(16352,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16353,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16354,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 12.75/12.97 tff(16355,plain,
% 12.75/12.97 ((~xuntil227(s7)) | until226(s8)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16354, 5300, 16338])).
% 12.75/12.97 tff(16356,plain,
% 12.75/12.97 (~xuntil227(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16355, 16351])).
% 12.75/12.97 tff(16357,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s7) | node225(s7) | (~until226(s7)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16358,plain,
% 12.75/12.97 ((node225(s7) | (~until226(s7)) | xuntil227(s7)) <=> (xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16359,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s7) | node225(s7) | (~until226(s7))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16358])).
% 12.75/12.97 tff(16360,plain,
% 12.75/12.97 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16359, 16357])).
% 12.75/12.97 tff(16361,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16362,plain,
% 12.75/12.97 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 12.75/12.97 tff(16363,plain,
% 12.75/12.97 (~until226(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16362, 16320, 16356, 16277])).
% 12.75/12.97 tff(16364,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16365,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16366,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 12.75/12.97 tff(16367,plain,
% 12.75/12.97 ((~xuntil227(s6)) | until226(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16366, 5158, 16338])).
% 12.75/12.97 tff(16368,plain,
% 12.75/12.97 (~xuntil227(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16367, 16363])).
% 12.75/12.97 tff(16369,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16370,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16371,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 12.75/12.97 tff(16372,plain,
% 12.75/12.97 ((~xuntil222(s6)) | until221(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16371, 5158, 16152])).
% 12.75/12.97 tff(16373,plain,
% 12.75/12.97 (~xuntil222(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16372, 16213])).
% 12.75/12.97 tff(16374,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16375,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16376,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 12.75/12.97 tff(16377,plain,
% 12.75/12.97 ((~xuntil217(s6)) | until216(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16376, 5158, 16075])).
% 12.75/12.97 tff(16378,plain,
% 12.75/12.97 (~xuntil217(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16377, 16191])).
% 12.75/12.97 tff(16379,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s6, s7)) | (~always214(s6)) | always214(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s6, s7)) | (~always214(s6)) | always214(s7))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16380,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s6, s7)) | (~always214(s6)) | always214(s7))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16381,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s6, s7)) | (~always214(s6)) | always214(s7)),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 12.75/12.97 tff(16382,plain,
% 12.75/12.97 ((~always214(s6)) | always214(s7)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16381, 16009, 5162])).
% 12.75/12.97 tff(16383,plain,
% 12.75/12.97 (~always214(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16382, 16179])).
% 12.75/12.97 tff(16384,plain,
% 12.75/12.97 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s6) | (~node215(s6)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s6) | (~node215(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16385,plain,
% 12.75/12.97 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s6) | (~node215(s6)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16386,plain,
% 12.75/12.97 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s6) | (~node215(s6))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 12.75/12.97 tff(16387,plain,
% 12.75/12.97 (~node215(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16386, 16024, 16383])).
% 12.75/12.97 tff(16388,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s6) | node215(s6) | (~until216(s6)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16389,plain,
% 12.75/12.97 ((node215(s6) | (~until216(s6)) | xuntil217(s6)) <=> (xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16390,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s6) | node215(s6) | (~until216(s6))))),
% 12.75/12.97 inference(monotonicity,[status(thm)],[16389])).
% 12.75/12.97 tff(16391,plain,
% 12.75/12.97 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.75/12.97 inference(transitivity,[status(thm)],[16390, 16388])).
% 12.75/12.97 tff(16392,plain,
% 12.75/12.97 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16393,plain,
% 12.75/12.97 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 12.75/12.97 tff(16394,plain,
% 12.75/12.97 (xuntil217(s6) | (~until216(s6))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16393, 16057, 16387])).
% 12.75/12.97 tff(16395,plain,
% 12.75/12.97 (~until216(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16394, 16378])).
% 12.75/12.97 tff(16396,plain,
% 12.75/12.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s6, s7)) | always212(s7) | (~always212(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s6, s7)) | always212(s7) | (~always212(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16397,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s6, s7)) | always212(s7) | (~always212(s6)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16398,plain,
% 12.75/12.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s6, s7)) | always212(s7) | (~always212(s6))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 12.75/12.97 tff(16399,plain,
% 12.75/12.97 (always212(s7) | (~always212(s6))),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16398, 15965, 5162])).
% 12.75/12.97 tff(16400,plain,
% 12.75/12.97 (~always212(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16399, 16196])).
% 12.75/12.97 tff(16401,plain,
% 12.75/12.97 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s6) | (~node213(s6)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s6) | (~node213(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16402,plain,
% 12.75/12.97 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s6) | (~node213(s6)))),
% 12.75/12.97 inference(quant_inst,[status(thm)],[])).
% 12.75/12.97 tff(16403,plain,
% 12.75/12.97 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s6) | (~node213(s6))),
% 12.75/12.97 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 12.75/12.97 tff(16404,plain,
% 12.75/12.97 (~node213(s6)),
% 12.75/12.97 inference(unit_resolution,[status(thm)],[16403, 15980, 16400])).
% 12.75/12.97 tff(16405,plain,
% 12.75/12.97 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s6) | until216(s6) | (~node220(s6)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s6) | until216(s6) | (~node220(s6)))),
% 12.75/12.97 inference(rewrite,[status(thm)],[])).
% 12.75/12.97 tff(16406,plain,
% 12.75/12.97 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s6) | until216(s6) | (~node220(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16407,plain,
% 12.75/12.98 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s6) | until216(s6) | (~node220(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16406, 16405])).
% 12.75/12.98 tff(16408,plain,
% 12.75/12.98 (until216(s6) | (~node220(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16407, 16097, 16404])).
% 12.75/12.98 tff(16409,plain,
% 12.75/12.98 (~node220(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16408, 16395])).
% 12.75/12.98 tff(16410,plain,
% 12.75/12.98 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s6) | node220(s6) | (~until221(s6)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16411,plain,
% 12.75/12.98 ((node220(s6) | (~until221(s6)) | xuntil222(s6)) <=> (xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16412,plain,
% 12.75/12.98 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s6) | node220(s6) | (~until221(s6))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16411])).
% 12.75/12.98 tff(16413,plain,
% 12.75/12.98 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16412, 16410])).
% 12.75/12.98 tff(16414,plain,
% 12.75/12.98 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16415,plain,
% 12.75/12.98 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 12.75/12.98 tff(16416,plain,
% 12.75/12.98 (xuntil222(s6) | (~until221(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16415, 16134, 16409])).
% 12.75/12.98 tff(16417,plain,
% 12.75/12.98 (~until221(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16416, 16373])).
% 12.75/12.98 tff(16418,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s6, s7)) | always210(s7) | (~always210(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s6, s7)) | always210(s7) | (~always210(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16419,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s6, s7)) | always210(s7) | (~always210(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16420,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s6, s7)) | always210(s7) | (~always210(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16419, 16418])).
% 12.75/12.98 tff(16421,plain,
% 12.75/12.98 (always210(s7) | (~always210(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16420, 16238, 5162])).
% 12.75/12.98 tff(16422,plain,
% 12.75/12.98 (~always210(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16421, 16251])).
% 12.75/12.98 tff(16423,plain,
% 12.75/12.98 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s6) | (~node211(s6)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s6) | (~node211(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16424,plain,
% 12.75/12.98 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s6) | (~node211(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16425,plain,
% 12.75/12.98 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s6) | (~node211(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 12.75/12.98 tff(16426,plain,
% 12.75/12.98 (~node211(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16425, 16258, 16422])).
% 12.75/12.98 tff(16427,plain,
% 12.75/12.98 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s6) | until221(s6) | (~node225(s6)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s6) | until221(s6) | (~node225(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16428,plain,
% 12.75/12.98 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s6) | until221(s6) | (~node225(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16429,plain,
% 12.75/12.98 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s6) | until221(s6) | (~node225(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 12.75/12.98 tff(16430,plain,
% 12.75/12.98 (until221(s6) | (~node225(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16429, 16272, 16426])).
% 12.75/12.98 tff(16431,plain,
% 12.75/12.98 (~node225(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16430, 16417])).
% 12.75/12.98 tff(16432,plain,
% 12.75/12.98 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s6) | node225(s6) | (~until226(s6)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16433,plain,
% 12.75/12.98 ((node225(s6) | (~until226(s6)) | xuntil227(s6)) <=> (xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16434,plain,
% 12.75/12.98 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s6) | node225(s6) | (~until226(s6))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16433])).
% 12.75/12.98 tff(16435,plain,
% 12.75/12.98 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16434, 16432])).
% 12.75/12.98 tff(16436,plain,
% 12.75/12.98 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16437,plain,
% 12.75/12.98 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 12.75/12.98 tff(16438,plain,
% 12.75/12.98 (xuntil227(s6) | (~until226(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16437, 16320, 16431])).
% 12.75/12.98 tff(16439,plain,
% 12.75/12.98 (~until226(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16438, 16368])).
% 12.75/12.98 tff(16440,plain,
% 12.75/12.98 (^[X: $i] : refl((loop | (~last(X)) | (~always208(X))) <=> (loop | (~last(X)) | (~always208(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16441,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~always208(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16440])).
% 12.75/12.98 tff(16442,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~always208(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16443,plain,
% 12.75/12.98 (^[X: $i] : rewrite(((loop | (~always208(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always208(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16444,plain,
% 12.75/12.98 (![X: $i] : ((loop | (~always208(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16443])).
% 12.75/12.98 tff(16445,axiom,(![X: $i] : ((loop | (~always208(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty77')).
% 12.75/12.98 tff(16446,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 12.75/12.98 tff(16447,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16446, 16442])).
% 12.75/12.98 tff(16448,plain,(
% 12.75/12.98 ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16447])).
% 12.75/12.98 tff(16449,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16448, 16441])).
% 12.75/12.98 tff(16450,plain,
% 12.75/12.98 (((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | (loop | (~last(s9)) | (~always208(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | loop | (~last(s9)) | (~always208(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16451,plain,
% 12.75/12.98 ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | (loop | (~last(s9)) | (~always208(s9)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16452,plain,
% 12.75/12.98 ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | loop | (~last(s9)) | (~always208(s9))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 12.75/12.98 tff(16453,plain,
% 12.75/12.98 (loop | (~always208(s9))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16452, 15950, 16449])).
% 12.75/12.98 tff(16454,plain,
% 12.75/12.98 (~always208(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16453, 15937])).
% 12.75/12.98 tff(16455,plain,
% 12.75/12.98 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ((~trans(X, Y)) | (~always208(X)) | always208(Y)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16456,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16455])).
% 12.75/12.98 tff(16457,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16458,plain,
% 12.75/12.98 (^[Y: $i, X: $i] : rewrite(((always208(Y) | (~trans(X, Y))) | (~always208(X))) <=> ((~trans(X, Y)) | (~always208(X)) | always208(Y)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16459,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((always208(Y) | (~trans(X, Y))) | (~always208(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16458])).
% 12.75/12.98 tff(16460,axiom,(![Y: $i, X: $i] : ((always208(Y) | (~trans(X, Y))) | (~always208(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty76')).
% 12.75/12.98 tff(16461,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 12.75/12.98 tff(16462,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16461, 16457])).
% 12.75/12.98 tff(16463,plain,(
% 12.75/12.98 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16462])).
% 12.75/12.98 tff(16464,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16463, 16456])).
% 12.75/12.98 tff(16465,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (always208(s9) | (~trans(s8, s9)) | (~always208(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16466,plain,
% 12.75/12.98 (((~trans(s8, s9)) | (~always208(s8)) | always208(s9)) <=> (always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16467,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (always208(s9) | (~trans(s8, s9)) | (~always208(s8))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16466])).
% 12.75/12.98 tff(16468,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16467, 16465])).
% 12.75/12.98 tff(16469,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16470,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 12.75/12.98 tff(16471,plain,
% 12.75/12.98 (always208(s9) | (~always208(s8))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16470, 16464, 5508])).
% 12.75/12.98 tff(16472,plain,
% 12.75/12.98 (~always208(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16471, 16454])).
% 12.75/12.98 tff(16473,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s7, s8)) | (~always208(s7)) | always208(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s7, s8)) | (~always208(s7)) | always208(s8))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16474,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s7, s8)) | (~always208(s7)) | always208(s8))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16475,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s7, s8)) | (~always208(s7)) | always208(s8)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 12.75/12.98 tff(16476,plain,
% 12.75/12.98 ((~always208(s7)) | always208(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16475, 16464, 5304])).
% 12.75/12.98 tff(16477,plain,
% 12.75/12.98 (~always208(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16476, 16472])).
% 12.75/12.98 tff(16478,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s6, s7)) | (~always208(s6)) | always208(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s6, s7)) | (~always208(s6)) | always208(s7))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16479,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s6, s7)) | (~always208(s6)) | always208(s7))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16480,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s6, s7)) | (~always208(s6)) | always208(s7)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 12.75/12.98 tff(16481,plain,
% 12.75/12.98 ((~always208(s6)) | always208(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16480, 16464, 5162])).
% 12.75/12.98 tff(16482,plain,
% 12.75/12.98 (~always208(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16481, 16477])).
% 12.75/12.98 tff(16483,plain,
% 12.75/12.98 (^[X: $i] : refl((always208(X) | (~node209(X))) <=> (always208(X) | (~node209(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16484,plain,
% 12.75/12.98 (![X: $i] : (always208(X) | (~node209(X))) <=> ![X: $i] : (always208(X) | (~node209(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16483])).
% 12.75/12.98 tff(16485,plain,
% 12.75/12.98 (![X: $i] : (always208(X) | (~node209(X))) <=> ![X: $i] : (always208(X) | (~node209(X)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16486,axiom,(![X: $i] : (always208(X) | (~node209(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty80')).
% 12.75/12.98 tff(16487,plain,
% 12.75/12.98 (![X: $i] : (always208(X) | (~node209(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 12.75/12.98 tff(16488,plain,(
% 12.75/12.98 ![X: $i] : (always208(X) | (~node209(X)))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16487])).
% 12.75/12.98 tff(16489,plain,
% 12.75/12.98 (![X: $i] : (always208(X) | (~node209(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16488, 16484])).
% 12.75/12.98 tff(16490,plain,
% 12.75/12.98 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s6) | (~node209(s6)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s6) | (~node209(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16491,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s6) | (~node209(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16492,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s6) | (~node209(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 12.75/12.98 tff(16493,plain,
% 12.75/12.98 (~node209(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16492, 16489, 16482])).
% 12.75/12.98 tff(16494,plain,
% 12.75/12.98 (^[X: $i] : refl((node209(X) | until226(X) | (~node230(X))) <=> (node209(X) | until226(X) | (~node230(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16495,plain,
% 12.75/12.98 (![X: $i] : (node209(X) | until226(X) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16494])).
% 12.75/12.98 tff(16496,plain,
% 12.75/12.98 (![X: $i] : (node209(X) | until226(X) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16497,plain,
% 12.75/12.98 (^[X: $i] : rewrite(((node209(X) | until226(X)) | (~node230(X))) <=> (node209(X) | until226(X) | (~node230(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16498,plain,
% 12.75/12.98 (![X: $i] : ((node209(X) | until226(X)) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16497])).
% 12.75/12.98 tff(16499,axiom,(![X: $i] : ((node209(X) | until226(X)) | (~node230(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty127')).
% 12.75/12.98 tff(16500,plain,
% 12.75/12.98 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 12.75/12.98 tff(16501,plain,
% 12.75/12.98 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16500, 16496])).
% 12.75/12.98 tff(16502,plain,(
% 12.75/12.98 ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16501])).
% 12.75/12.98 tff(16503,plain,
% 12.75/12.98 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16502, 16495])).
% 12.75/12.98 tff(16504,plain,
% 12.75/12.98 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s6) | until226(s6) | (~node230(s6)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s6) | until226(s6) | (~node230(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16505,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s6) | until226(s6) | (~node230(s6)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16506,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s6) | until226(s6) | (~node230(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16505, 16504])).
% 12.75/12.98 tff(16507,plain,
% 12.75/12.98 (until226(s6) | (~node230(s6))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16506, 16503, 16493])).
% 12.75/12.98 tff(16508,plain,
% 12.75/12.98 (~node230(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16507, 16439])).
% 12.75/12.98 tff(16509,plain,
% 12.75/12.98 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s7) | (~node209(s7)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s7) | (~node209(s7)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16510,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s7) | (~node209(s7)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16511,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s7) | (~node209(s7))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16510, 16509])).
% 12.75/12.98 tff(16512,plain,
% 12.75/12.98 (~node209(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16511, 16489, 16477])).
% 12.75/12.98 tff(16513,plain,
% 12.75/12.98 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s7) | until226(s7) | (~node230(s7)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s7) | until226(s7) | (~node230(s7)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16514,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s7) | until226(s7) | (~node230(s7)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16515,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s7) | until226(s7) | (~node230(s7))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 12.75/12.98 tff(16516,plain,
% 12.75/12.98 (until226(s7) | (~node230(s7))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16515, 16503, 16512])).
% 12.75/12.98 tff(16517,plain,
% 12.75/12.98 (~node230(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16516, 16363])).
% 12.75/12.98 tff(16518,plain,
% 12.75/12.98 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s8) | (~node209(s8)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s8) | (~node209(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16519,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s8) | (~node209(s8)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16520,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s8) | (~node209(s8))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 12.75/12.98 tff(16521,plain,
% 12.75/12.98 (~node209(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16520, 16489, 16472])).
% 12.75/12.98 tff(16522,plain,
% 12.75/12.98 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s8) | until226(s8) | (~node230(s8)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s8) | until226(s8) | (~node230(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16523,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s8) | until226(s8) | (~node230(s8)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16524,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s8) | until226(s8) | (~node230(s8))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 12.75/12.98 tff(16525,plain,
% 12.75/12.98 (until226(s8) | (~node230(s8))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16524, 16503, 16521])).
% 12.75/12.98 tff(16526,plain,
% 12.75/12.98 (~node230(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16525, 16351])).
% 12.75/12.98 tff(16527,plain,
% 12.75/12.98 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s9) | (~node209(s9)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s9) | (~node209(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16528,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s9) | (~node209(s9)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16529,plain,
% 12.75/12.98 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s9) | (~node209(s9))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16528, 16527])).
% 12.75/12.98 tff(16530,plain,
% 12.75/12.98 (~node209(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16529, 16489, 16454])).
% 12.75/12.98 tff(16531,plain,
% 12.75/12.98 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s9) | until226(s9) | (~node230(s9)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s9) | until226(s9) | (~node230(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16532,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s9) | until226(s9) | (~node230(s9)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16533,plain,
% 12.75/12.98 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s9) | until226(s9) | (~node230(s9))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 12.75/12.98 tff(16534,plain,
% 12.75/12.98 (until226(s9) | (~node230(s9))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16533, 16503, 16530])).
% 12.75/12.98 tff(16535,plain,
% 12.75/12.98 (~node230(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16534, 16328])).
% 12.75/12.98 tff(16536,plain,
% 12.75/12.98 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil232(X))) <=> (loop | (~last(X)) | (~xuntil232(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16537,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16536])).
% 12.75/12.98 tff(16538,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16539,plain,
% 12.75/12.98 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil232(X))) <=> (loop | (~last(X)) | (~xuntil232(X))))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16540,plain,
% 12.75/12.98 (![X: $i] : ((loop | (~last(X))) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16539])).
% 12.75/12.98 tff(16541,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil232(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty130')).
% 12.75/12.98 tff(16542,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 12.75/12.98 tff(16543,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16542, 16538])).
% 12.75/12.98 tff(16544,plain,(
% 12.75/12.98 ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16543])).
% 12.75/12.98 tff(16545,plain,
% 12.75/12.98 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16544, 16537])).
% 12.75/12.98 tff(16546,plain,
% 12.75/12.98 (((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | (loop | (~last(s9)) | (~xuntil232(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | loop | (~last(s9)) | (~xuntil232(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16547,plain,
% 12.75/12.98 ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | (loop | (~last(s9)) | (~xuntil232(s9)))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16548,plain,
% 12.75/12.98 ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | loop | (~last(s9)) | (~xuntil232(s9))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16547, 16546])).
% 12.75/12.98 tff(16549,plain,
% 12.75/12.98 (loop | (~xuntil232(s9))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16548, 15950, 16545])).
% 12.75/12.98 tff(16550,plain,
% 12.75/12.98 (~xuntil232(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16549, 15937])).
% 12.75/12.98 tff(16551,plain,
% 12.75/12.98 (^[X: $i] : refl((node230(X) | (~until231(X)) | xuntil232(X)) <=> (node230(X) | (~until231(X)) | xuntil232(X)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16552,plain,
% 12.75/12.98 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X)) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16551])).
% 12.75/12.98 tff(16553,plain,
% 12.75/12.98 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X)) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16554,plain,
% 12.75/12.98 (^[X: $i] : rewrite(((node230(X) | xuntil232(X)) | (~until231(X))) <=> (node230(X) | (~until231(X)) | xuntil232(X)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16555,plain,
% 12.75/12.98 (![X: $i] : ((node230(X) | xuntil232(X)) | (~until231(X))) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16554])).
% 12.75/12.98 tff(16556,axiom,(![X: $i] : ((node230(X) | xuntil232(X)) | (~until231(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty128')).
% 12.75/12.98 tff(16557,plain,
% 12.75/12.98 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 12.75/12.98 tff(16558,plain,
% 12.75/12.98 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16557, 16553])).
% 12.75/12.98 tff(16559,plain,(
% 12.75/12.98 ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16558])).
% 12.75/12.98 tff(16560,plain,
% 12.75/12.98 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16559, 16552])).
% 12.75/12.98 tff(16561,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s9) | node230(s9) | (~until231(s9)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16562,plain,
% 12.75/12.98 ((node230(s9) | (~until231(s9)) | xuntil232(s9)) <=> (xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16563,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s9) | node230(s9) | (~until231(s9))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16562])).
% 12.75/12.98 tff(16564,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16563, 16561])).
% 12.75/12.98 tff(16565,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16566,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16565, 16564])).
% 12.75/12.98 tff(16567,plain,
% 12.75/12.98 (node230(s9) | (~until231(s9))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16566, 16560, 16550])).
% 12.75/12.98 tff(16568,plain,
% 12.75/12.98 (~until231(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16567, 16535])).
% 12.75/12.98 tff(16569,plain,
% 12.75/12.98 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16570,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16569])).
% 12.75/12.98 tff(16571,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16572,plain,
% 12.75/12.98 (^[Y: $i, X: $i] : rewrite(((until231(Y) | (~succ(X, Y))) | (~xuntil232(X))) <=> ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)))),
% 12.75/12.98 inference(bind,[status(th)],[])).
% 12.75/12.98 tff(16573,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((until231(Y) | (~succ(X, Y))) | (~xuntil232(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(quant_intro,[status(thm)],[16572])).
% 12.75/12.98 tff(16574,axiom,(![Y: $i, X: $i] : ((until231(Y) | (~succ(X, Y))) | (~xuntil232(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty129')).
% 12.75/12.98 tff(16575,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 12.75/12.98 tff(16576,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16575, 16571])).
% 12.75/12.98 tff(16577,plain,(
% 12.75/12.98 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(skolemize,[status(sab)],[16576])).
% 12.75/12.98 tff(16578,plain,
% 12.75/12.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16577, 16570])).
% 12.75/12.98 tff(16579,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16580,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16581,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 12.75/12.98 tff(16582,plain,
% 12.75/12.98 ((~xuntil232(s8)) | until231(s9)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16581, 5504, 16578])).
% 12.75/12.98 tff(16583,plain,
% 12.75/12.98 (~xuntil232(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16582, 16568])).
% 12.75/12.98 tff(16584,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s8) | node230(s8) | (~until231(s8)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16585,plain,
% 12.75/12.98 ((node230(s8) | (~until231(s8)) | xuntil232(s8)) <=> (xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16586,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s8) | node230(s8) | (~until231(s8))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16585])).
% 12.75/12.98 tff(16587,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16586, 16584])).
% 12.75/12.98 tff(16588,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16589,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 12.75/12.98 tff(16590,plain,
% 12.75/12.98 (node230(s8) | (~until231(s8))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16589, 16560, 16583])).
% 12.75/12.98 tff(16591,plain,
% 12.75/12.98 (~until231(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16590, 16526])).
% 12.75/12.98 tff(16592,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16593,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16594,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 12.75/12.98 tff(16595,plain,
% 12.75/12.98 ((~xuntil232(s7)) | until231(s8)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16594, 5300, 16578])).
% 12.75/12.98 tff(16596,plain,
% 12.75/12.98 (~xuntil232(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16595, 16591])).
% 12.75/12.98 tff(16597,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s7) | node230(s7) | (~until231(s7)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16598,plain,
% 12.75/12.98 ((node230(s7) | (~until231(s7)) | xuntil232(s7)) <=> (xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16599,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s7) | node230(s7) | (~until231(s7))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16598])).
% 12.75/12.98 tff(16600,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16599, 16597])).
% 12.75/12.98 tff(16601,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16602,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16601, 16600])).
% 12.75/12.98 tff(16603,plain,
% 12.75/12.98 (node230(s7) | (~until231(s7))),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16602, 16560, 16596])).
% 12.75/12.98 tff(16604,plain,
% 12.75/12.98 (~until231(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16603, 16517])).
% 12.75/12.98 tff(16605,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16606,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16607,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 12.75/12.98 tff(16608,plain,
% 12.75/12.98 ((~xuntil232(s6)) | until231(s7)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16607, 5158, 16578])).
% 12.75/12.98 tff(16609,plain,
% 12.75/12.98 (~xuntil232(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16608, 16604])).
% 12.75/12.98 tff(16610,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s6) | node230(s6) | (~until231(s6)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16611,plain,
% 12.75/12.98 ((node230(s6) | (~until231(s6)) | xuntil232(s6)) <=> (xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16612,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s6) | node230(s6) | (~until231(s6))))),
% 12.75/12.98 inference(monotonicity,[status(thm)],[16611])).
% 12.75/12.98 tff(16613,plain,
% 12.75/12.98 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.75/12.98 inference(transitivity,[status(thm)],[16612, 16610])).
% 12.75/12.98 tff(16614,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16615,plain,
% 12.75/12.98 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6))),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 12.75/12.98 tff(16616,plain,
% 12.75/12.98 (~until231(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16615, 16560, 16609, 16508])).
% 12.75/12.98 tff(16617,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16618,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16619,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 12.75/12.98 tff(16620,plain,
% 12.75/12.98 ((~xuntil232(s5)) | until231(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16619, 11, 16578])).
% 12.75/12.98 tff(16621,plain,
% 12.75/12.98 (~xuntil232(s5)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16620, 16616])).
% 12.75/12.98 tff(16622,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16623,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16624,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 12.75/12.98 tff(16625,plain,
% 12.75/12.98 ((~xuntil227(s5)) | until226(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16624, 11, 16338])).
% 12.75/12.98 tff(16626,plain,
% 12.75/12.98 (~xuntil227(s5)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16625, 16439])).
% 12.75/12.98 tff(16627,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16628,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))),
% 12.75/12.98 inference(quant_inst,[status(thm)],[])).
% 12.75/12.98 tff(16629,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6)),
% 12.75/12.98 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 12.75/12.98 tff(16630,plain,
% 12.75/12.98 ((~xuntil222(s5)) | until221(s6)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16629, 11, 16152])).
% 12.75/12.98 tff(16631,plain,
% 12.75/12.98 (~xuntil222(s5)),
% 12.75/12.98 inference(unit_resolution,[status(thm)],[16630, 16417])).
% 12.75/12.98 tff(16632,plain,
% 12.75/12.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))),
% 12.75/12.98 inference(rewrite,[status(thm)],[])).
% 12.75/12.98 tff(16633,plain,
% 12.75/12.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16634,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6)),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 12.75/12.99 tff(16635,plain,
% 12.75/12.99 ((~xuntil217(s5)) | until216(s6)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16634, 11, 16075])).
% 12.75/12.99 tff(16636,plain,
% 12.75/12.99 (~xuntil217(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16635, 16395])).
% 12.75/12.99 tff(16637,plain,
% 12.75/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s5, s6)) | (~always214(s5)) | always214(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s5, s6)) | (~always214(s5)) | always214(s6))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16638,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s5, s6)) | (~always214(s5)) | always214(s6))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16639,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s5, s6)) | (~always214(s5)) | always214(s6)),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 12.75/12.99 tff(16640,plain,
% 12.75/12.99 ((~always214(s5)) | always214(s6)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16639, 16009, 15])).
% 12.75/12.99 tff(16641,plain,
% 12.75/12.99 (~always214(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16640, 16383])).
% 12.75/12.99 tff(16642,plain,
% 12.75/12.99 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s5) | (~node215(s5)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s5) | (~node215(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16643,plain,
% 12.75/12.99 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s5) | (~node215(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16644,plain,
% 12.75/12.99 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s5) | (~node215(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 12.75/12.99 tff(16645,plain,
% 12.75/12.99 (~node215(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16644, 16024, 16641])).
% 12.75/12.99 tff(16646,plain,
% 12.75/12.99 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s5) | node215(s5) | (~until216(s5)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16647,plain,
% 12.75/12.99 ((node215(s5) | (~until216(s5)) | xuntil217(s5)) <=> (xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16648,plain,
% 12.75/12.99 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s5) | node215(s5) | (~until216(s5))))),
% 12.75/12.99 inference(monotonicity,[status(thm)],[16647])).
% 12.75/12.99 tff(16649,plain,
% 12.75/12.99 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.75/12.99 inference(transitivity,[status(thm)],[16648, 16646])).
% 12.75/12.99 tff(16650,plain,
% 12.75/12.99 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16651,plain,
% 12.75/12.99 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16650, 16649])).
% 12.75/12.99 tff(16652,plain,
% 12.75/12.99 (xuntil217(s5) | (~until216(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16651, 16057, 16645])).
% 12.75/12.99 tff(16653,plain,
% 12.75/12.99 (~until216(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16652, 16636])).
% 12.75/12.99 tff(16654,plain,
% 12.75/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s5, s6)) | always212(s6) | (~always212(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s5, s6)) | always212(s6) | (~always212(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16655,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s5, s6)) | always212(s6) | (~always212(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16656,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s5, s6)) | always212(s6) | (~always212(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 12.75/12.99 tff(16657,plain,
% 12.75/12.99 (always212(s6) | (~always212(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16656, 15965, 15])).
% 12.75/12.99 tff(16658,plain,
% 12.75/12.99 (~always212(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16657, 16400])).
% 12.75/12.99 tff(16659,plain,
% 12.75/12.99 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s5) | (~node213(s5)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s5) | (~node213(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16660,plain,
% 12.75/12.99 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s5) | (~node213(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16661,plain,
% 12.75/12.99 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s5) | (~node213(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 12.75/12.99 tff(16662,plain,
% 12.75/12.99 (~node213(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16661, 15980, 16658])).
% 12.75/12.99 tff(16663,plain,
% 12.75/12.99 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s5) | until216(s5) | (~node220(s5)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s5) | until216(s5) | (~node220(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16664,plain,
% 12.75/12.99 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s5) | until216(s5) | (~node220(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16665,plain,
% 12.75/12.99 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s5) | until216(s5) | (~node220(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16664, 16663])).
% 12.75/12.99 tff(16666,plain,
% 12.75/12.99 (until216(s5) | (~node220(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16665, 16097, 16662])).
% 12.75/12.99 tff(16667,plain,
% 12.75/12.99 (~node220(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16666, 16653])).
% 12.75/12.99 tff(16668,plain,
% 12.75/12.99 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s5) | node220(s5) | (~until221(s5)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16669,plain,
% 12.75/12.99 ((node220(s5) | (~until221(s5)) | xuntil222(s5)) <=> (xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16670,plain,
% 12.75/12.99 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s5) | node220(s5) | (~until221(s5))))),
% 12.75/12.99 inference(monotonicity,[status(thm)],[16669])).
% 12.75/12.99 tff(16671,plain,
% 12.75/12.99 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.75/12.99 inference(transitivity,[status(thm)],[16670, 16668])).
% 12.75/12.99 tff(16672,plain,
% 12.75/12.99 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16673,plain,
% 12.75/12.99 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 12.75/12.99 tff(16674,plain,
% 12.75/12.99 (xuntil222(s5) | (~until221(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16673, 16134, 16667])).
% 12.75/12.99 tff(16675,plain,
% 12.75/12.99 (~until221(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16674, 16631])).
% 12.75/12.99 tff(16676,plain,
% 12.75/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s5, s6)) | always210(s6) | (~always210(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s5, s6)) | always210(s6) | (~always210(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16677,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s5, s6)) | always210(s6) | (~always210(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16678,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s5, s6)) | always210(s6) | (~always210(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16677, 16676])).
% 12.75/12.99 tff(16679,plain,
% 12.75/12.99 (always210(s6) | (~always210(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16678, 16238, 15])).
% 12.75/12.99 tff(16680,plain,
% 12.75/12.99 (~always210(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16679, 16422])).
% 12.75/12.99 tff(16681,plain,
% 12.75/12.99 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s5) | (~node211(s5)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s5) | (~node211(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16682,plain,
% 12.75/12.99 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s5) | (~node211(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16683,plain,
% 12.75/12.99 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s5) | (~node211(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 12.75/12.99 tff(16684,plain,
% 12.75/12.99 (~node211(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16683, 16258, 16680])).
% 12.75/12.99 tff(16685,plain,
% 12.75/12.99 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s5) | until221(s5) | (~node225(s5)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s5) | until221(s5) | (~node225(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16686,plain,
% 12.75/12.99 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s5) | until221(s5) | (~node225(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16687,plain,
% 12.75/12.99 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s5) | until221(s5) | (~node225(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 12.75/12.99 tff(16688,plain,
% 12.75/12.99 (until221(s5) | (~node225(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16687, 16272, 16684])).
% 12.75/12.99 tff(16689,plain,
% 12.75/12.99 (~node225(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16688, 16675])).
% 12.75/12.99 tff(16690,plain,
% 12.75/12.99 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s5) | node225(s5) | (~until226(s5)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16691,plain,
% 12.75/12.99 ((node225(s5) | (~until226(s5)) | xuntil227(s5)) <=> (xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16692,plain,
% 12.75/12.99 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s5) | node225(s5) | (~until226(s5))))),
% 12.75/12.99 inference(monotonicity,[status(thm)],[16691])).
% 12.75/12.99 tff(16693,plain,
% 12.75/12.99 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.75/12.99 inference(transitivity,[status(thm)],[16692, 16690])).
% 12.75/12.99 tff(16694,plain,
% 12.75/12.99 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16695,plain,
% 12.75/12.99 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 12.75/12.99 tff(16696,plain,
% 12.75/12.99 (xuntil227(s5) | (~until226(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16695, 16320, 16689])).
% 12.75/12.99 tff(16697,plain,
% 12.75/12.99 (~until226(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16696, 16626])).
% 12.75/12.99 tff(16698,plain,
% 12.75/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s5, s6)) | (~always208(s5)) | always208(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s5, s6)) | (~always208(s5)) | always208(s6))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16699,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s5, s6)) | (~always208(s5)) | always208(s6))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16700,plain,
% 12.75/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s5, s6)) | (~always208(s5)) | always208(s6)),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 12.75/12.99 tff(16701,plain,
% 12.75/12.99 ((~always208(s5)) | always208(s6)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16700, 16464, 15])).
% 12.75/12.99 tff(16702,plain,
% 12.75/12.99 (~always208(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16701, 16482])).
% 12.75/12.99 tff(16703,plain,
% 12.75/12.99 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s5) | (~node209(s5)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s5) | (~node209(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16704,plain,
% 12.75/12.99 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s5) | (~node209(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16705,plain,
% 12.75/12.99 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s5) | (~node209(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16704, 16703])).
% 12.75/12.99 tff(16706,plain,
% 12.75/12.99 (~node209(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16705, 16489, 16702])).
% 12.75/12.99 tff(16707,plain,
% 12.75/12.99 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s5) | until226(s5) | (~node230(s5)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s5) | until226(s5) | (~node230(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16708,plain,
% 12.75/12.99 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s5) | until226(s5) | (~node230(s5)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16709,plain,
% 12.75/12.99 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s5) | until226(s5) | (~node230(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 12.75/12.99 tff(16710,plain,
% 12.75/12.99 (until226(s5) | (~node230(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16709, 16503, 16706])).
% 12.75/12.99 tff(16711,plain,
% 12.75/12.99 (~node230(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16710, 16697])).
% 12.75/12.99 tff(16712,plain,
% 12.75/12.99 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s5) | node230(s5) | (~until231(s5)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16713,plain,
% 12.75/12.99 ((node230(s5) | (~until231(s5)) | xuntil232(s5)) <=> (xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16714,plain,
% 12.75/12.99 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s5) | (~until231(s5)) | xuntil232(s5))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s5) | node230(s5) | (~until231(s5))))),
% 12.75/12.99 inference(monotonicity,[status(thm)],[16713])).
% 12.75/12.99 tff(16715,plain,
% 12.75/12.99 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s5) | (~until231(s5)) | xuntil232(s5))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.75/12.99 inference(transitivity,[status(thm)],[16714, 16712])).
% 12.75/12.99 tff(16716,plain,
% 12.75/12.99 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s5) | (~until231(s5)) | xuntil232(s5))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16717,plain,
% 12.75/12.99 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16716, 16715])).
% 12.75/12.99 tff(16718,plain,
% 12.75/12.99 (xuntil232(s5) | (~until231(s5))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16717, 16560, 16711])).
% 12.75/12.99 tff(16719,plain,
% 12.75/12.99 (~until231(s5)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16718, 16621])).
% 12.75/12.99 tff(16720,plain,
% 12.75/12.99 (^[X: $i] : refl((loop | (~last(X)) | (~always206(X))) <=> (loop | (~last(X)) | (~always206(X))))),
% 12.75/12.99 inference(bind,[status(th)],[])).
% 12.75/12.99 tff(16721,plain,
% 12.75/12.99 (![X: $i] : (loop | (~last(X)) | (~always206(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(quant_intro,[status(thm)],[16720])).
% 12.75/12.99 tff(16722,plain,
% 12.75/12.99 (![X: $i] : (loop | (~last(X)) | (~always206(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16723,plain,
% 12.75/12.99 (^[X: $i] : rewrite(((loop | (~always206(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always206(X))))),
% 12.75/12.99 inference(bind,[status(th)],[])).
% 12.75/12.99 tff(16724,plain,
% 12.75/12.99 (![X: $i] : ((loop | (~always206(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(quant_intro,[status(thm)],[16723])).
% 12.75/12.99 tff(16725,axiom,(![X: $i] : ((loop | (~always206(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty70')).
% 12.75/12.99 tff(16726,plain,
% 12.75/12.99 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16725, 16724])).
% 12.75/12.99 tff(16727,plain,
% 12.75/12.99 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16726, 16722])).
% 12.75/12.99 tff(16728,plain,(
% 12.75/12.99 ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(skolemize,[status(sab)],[16727])).
% 12.75/12.99 tff(16729,plain,
% 12.75/12.99 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16728, 16721])).
% 12.75/12.99 tff(16730,plain,
% 12.75/12.99 (((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | (loop | (~last(s9)) | (~always206(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | loop | (~last(s9)) | (~always206(s9)))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16731,plain,
% 12.75/12.99 ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | (loop | (~last(s9)) | (~always206(s9)))),
% 12.75/12.99 inference(quant_inst,[status(thm)],[])).
% 12.75/12.99 tff(16732,plain,
% 12.75/12.99 ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | loop | (~last(s9)) | (~always206(s9))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 12.75/12.99 tff(16733,plain,
% 12.75/12.99 (loop | (~always206(s9))),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16732, 15950, 16729])).
% 12.75/12.99 tff(16734,plain,
% 12.75/12.99 (~always206(s9)),
% 12.75/12.99 inference(unit_resolution,[status(thm)],[16733, 15937])).
% 12.75/12.99 tff(16735,plain,
% 12.75/12.99 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ((~trans(X, Y)) | (~always206(X)) | always206(Y)))),
% 12.75/12.99 inference(bind,[status(th)],[])).
% 12.75/12.99 tff(16736,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(quant_intro,[status(thm)],[16735])).
% 12.75/12.99 tff(16737,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(rewrite,[status(thm)],[])).
% 12.75/12.99 tff(16738,plain,
% 12.75/12.99 (^[Y: $i, X: $i] : rewrite(((always206(Y) | (~trans(X, Y))) | (~always206(X))) <=> ((~trans(X, Y)) | (~always206(X)) | always206(Y)))),
% 12.75/12.99 inference(bind,[status(th)],[])).
% 12.75/12.99 tff(16739,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((always206(Y) | (~trans(X, Y))) | (~always206(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(quant_intro,[status(thm)],[16738])).
% 12.75/12.99 tff(16740,axiom,(![Y: $i, X: $i] : ((always206(Y) | (~trans(X, Y))) | (~always206(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty69')).
% 12.75/12.99 tff(16741,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 12.75/12.99 tff(16742,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16741, 16737])).
% 12.75/12.99 tff(16743,plain,(
% 12.75/12.99 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(skolemize,[status(sab)],[16742])).
% 12.75/12.99 tff(16744,plain,
% 12.75/12.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.75/12.99 inference(modus_ponens,[status(thm)],[16743, 16736])).
% 12.75/12.99 tff(16745,plain,
% 12.75/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (always206(s9) | (~trans(s8, s9)) | (~always206(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16746,plain,
% 12.83/12.99 (((~trans(s8, s9)) | (~always206(s8)) | always206(s9)) <=> (always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16747,plain,
% 12.83/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (always206(s9) | (~trans(s8, s9)) | (~always206(s8))))),
% 12.83/12.99 inference(monotonicity,[status(thm)],[16746])).
% 12.83/12.99 tff(16748,plain,
% 12.83/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.83/12.99 inference(transitivity,[status(thm)],[16747, 16745])).
% 12.83/12.99 tff(16749,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16750,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 12.83/12.99 tff(16751,plain,
% 12.83/12.99 (always206(s9) | (~always206(s8))),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16750, 16744, 5508])).
% 12.83/12.99 tff(16752,plain,
% 12.83/12.99 (~always206(s8)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16751, 16734])).
% 12.83/12.99 tff(16753,plain,
% 12.83/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s7, s8)) | (~always206(s7)) | always206(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s7, s8)) | (~always206(s7)) | always206(s8))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16754,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s7, s8)) | (~always206(s7)) | always206(s8))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16755,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s7, s8)) | (~always206(s7)) | always206(s8)),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 12.83/12.99 tff(16756,plain,
% 12.83/12.99 ((~always206(s7)) | always206(s8)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16755, 16744, 5304])).
% 12.83/12.99 tff(16757,plain,
% 12.83/12.99 (~always206(s7)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16756, 16752])).
% 12.83/12.99 tff(16758,plain,
% 12.83/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s6, s7)) | (~always206(s6)) | always206(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s6, s7)) | (~always206(s6)) | always206(s7))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16759,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s6, s7)) | (~always206(s6)) | always206(s7))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16760,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s6, s7)) | (~always206(s6)) | always206(s7)),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 12.83/12.99 tff(16761,plain,
% 12.83/12.99 ((~always206(s6)) | always206(s7)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16760, 16744, 5162])).
% 12.83/12.99 tff(16762,plain,
% 12.83/12.99 (~always206(s6)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16761, 16757])).
% 12.83/12.99 tff(16763,plain,
% 12.83/12.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s5, s6)) | (~always206(s5)) | always206(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s5, s6)) | (~always206(s5)) | always206(s6))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16764,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s5, s6)) | (~always206(s5)) | always206(s6))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16765,plain,
% 12.83/12.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s5, s6)) | (~always206(s5)) | always206(s6)),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16764, 16763])).
% 12.83/12.99 tff(16766,plain,
% 12.83/12.99 ((~always206(s5)) | always206(s6)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16765, 16744, 15])).
% 12.83/12.99 tff(16767,plain,
% 12.83/12.99 (~always206(s5)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16766, 16762])).
% 12.83/12.99 tff(16768,plain,
% 12.83/12.99 (^[X: $i] : refl((always206(X) | (~node207(X))) <=> (always206(X) | (~node207(X))))),
% 12.83/12.99 inference(bind,[status(th)],[])).
% 12.83/12.99 tff(16769,plain,
% 12.83/12.99 (![X: $i] : (always206(X) | (~node207(X))) <=> ![X: $i] : (always206(X) | (~node207(X)))),
% 12.83/12.99 inference(quant_intro,[status(thm)],[16768])).
% 12.83/12.99 tff(16770,plain,
% 12.83/12.99 (![X: $i] : (always206(X) | (~node207(X))) <=> ![X: $i] : (always206(X) | (~node207(X)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16771,axiom,(![X: $i] : (always206(X) | (~node207(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty74')).
% 12.83/12.99 tff(16772,plain,
% 12.83/12.99 (![X: $i] : (always206(X) | (~node207(X)))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 12.83/12.99 tff(16773,plain,(
% 12.83/12.99 ![X: $i] : (always206(X) | (~node207(X)))),
% 12.83/12.99 inference(skolemize,[status(sab)],[16772])).
% 12.83/12.99 tff(16774,plain,
% 12.83/12.99 (![X: $i] : (always206(X) | (~node207(X)))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16773, 16769])).
% 12.83/12.99 tff(16775,plain,
% 12.83/12.99 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s5) | (~node207(s5)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s5) | (~node207(s5)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16776,plain,
% 12.83/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s5) | (~node207(s5)))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16777,plain,
% 12.83/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s5) | (~node207(s5))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16776, 16775])).
% 12.83/12.99 tff(16778,plain,
% 12.83/12.99 (~node207(s5)),
% 12.83/12.99 inference(unit_resolution,[status(thm)],[16777, 16774, 16767])).
% 12.83/12.99 tff(16779,plain,
% 12.83/12.99 (^[X: $i] : refl((node207(X) | until231(X) | (~node235(X))) <=> (node207(X) | until231(X) | (~node235(X))))),
% 12.83/12.99 inference(bind,[status(th)],[])).
% 12.83/12.99 tff(16780,plain,
% 12.83/12.99 (![X: $i] : (node207(X) | until231(X) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(quant_intro,[status(thm)],[16779])).
% 12.83/12.99 tff(16781,plain,
% 12.83/12.99 (![X: $i] : (node207(X) | until231(X) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16782,plain,
% 12.83/12.99 (^[X: $i] : rewrite(((node207(X) | until231(X)) | (~node235(X))) <=> (node207(X) | until231(X) | (~node235(X))))),
% 12.83/12.99 inference(bind,[status(th)],[])).
% 12.83/12.99 tff(16783,plain,
% 12.83/12.99 (![X: $i] : ((node207(X) | until231(X)) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(quant_intro,[status(thm)],[16782])).
% 12.83/12.99 tff(16784,axiom,(![X: $i] : ((node207(X) | until231(X)) | (~node235(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty135')).
% 12.83/12.99 tff(16785,plain,
% 12.83/12.99 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16784, 16783])).
% 12.83/12.99 tff(16786,plain,
% 12.83/12.99 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16785, 16781])).
% 12.83/12.99 tff(16787,plain,(
% 12.83/12.99 ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(skolemize,[status(sab)],[16786])).
% 12.83/12.99 tff(16788,plain,
% 12.83/12.99 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.83/12.99 inference(modus_ponens,[status(thm)],[16787, 16780])).
% 12.83/12.99 tff(16789,plain,
% 12.83/12.99 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s5) | until231(s5) | (~node235(s5)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s5) | until231(s5) | (~node235(s5)))),
% 12.83/12.99 inference(rewrite,[status(thm)],[])).
% 12.83/12.99 tff(16790,plain,
% 12.83/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s5) | until231(s5) | (~node235(s5)))),
% 12.83/12.99 inference(quant_inst,[status(thm)],[])).
% 12.83/12.99 tff(16791,plain,
% 12.83/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s5) | until231(s5) | (~node235(s5))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 12.84/12.99 tff(16792,plain,
% 12.84/12.99 (until231(s5) | (~node235(s5))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16791, 16788, 16778])).
% 12.84/12.99 tff(16793,plain,
% 12.84/12.99 (~node235(s5)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16792, 16719])).
% 12.84/12.99 tff(16794,plain,
% 12.84/12.99 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s6) | (~node207(s6)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s6) | (~node207(s6)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16795,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s6) | (~node207(s6)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16796,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s6) | (~node207(s6))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 12.84/12.99 tff(16797,plain,
% 12.84/12.99 (~node207(s6)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16796, 16774, 16762])).
% 12.84/12.99 tff(16798,plain,
% 12.84/12.99 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s6) | until231(s6) | (~node235(s6)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s6) | until231(s6) | (~node235(s6)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16799,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s6) | until231(s6) | (~node235(s6)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16800,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s6) | until231(s6) | (~node235(s6))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16799, 16798])).
% 12.84/12.99 tff(16801,plain,
% 12.84/12.99 (until231(s6) | (~node235(s6))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16800, 16788, 16797])).
% 12.84/12.99 tff(16802,plain,
% 12.84/12.99 (~node235(s6)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16801, 16616])).
% 12.84/12.99 tff(16803,plain,
% 12.84/12.99 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s7) | (~node207(s7)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s7) | (~node207(s7)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16804,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s7) | (~node207(s7)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16805,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s7) | (~node207(s7))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16804, 16803])).
% 12.84/12.99 tff(16806,plain,
% 12.84/12.99 (~node207(s7)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16805, 16774, 16757])).
% 12.84/12.99 tff(16807,plain,
% 12.84/12.99 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s7) | until231(s7) | (~node235(s7)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s7) | until231(s7) | (~node235(s7)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16808,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s7) | until231(s7) | (~node235(s7)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16809,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s7) | until231(s7) | (~node235(s7))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 12.84/12.99 tff(16810,plain,
% 12.84/12.99 (until231(s7) | (~node235(s7))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16809, 16788, 16806])).
% 12.84/12.99 tff(16811,plain,
% 12.84/12.99 (~node235(s7)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16810, 16604])).
% 12.84/12.99 tff(16812,plain,
% 12.84/12.99 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s8) | (~node207(s8)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s8) | (~node207(s8)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16813,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s8) | (~node207(s8)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16814,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s8) | (~node207(s8))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 12.84/12.99 tff(16815,plain,
% 12.84/12.99 (~node207(s8)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16814, 16774, 16752])).
% 12.84/12.99 tff(16816,plain,
% 12.84/12.99 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s8) | until231(s8) | (~node235(s8)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s8) | until231(s8) | (~node235(s8)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16817,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s8) | until231(s8) | (~node235(s8)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16818,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s8) | until231(s8) | (~node235(s8))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 12.84/12.99 tff(16819,plain,
% 12.84/12.99 (until231(s8) | (~node235(s8))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16818, 16788, 16815])).
% 12.84/12.99 tff(16820,plain,
% 12.84/12.99 (~node235(s8)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16819, 16591])).
% 12.84/12.99 tff(16821,plain,
% 12.84/12.99 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s9) | (~node207(s9)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s9) | (~node207(s9)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16822,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s9) | (~node207(s9)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16823,plain,
% 12.84/12.99 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s9) | (~node207(s9))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16822, 16821])).
% 12.84/12.99 tff(16824,plain,
% 12.84/12.99 (~node207(s9)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16823, 16774, 16734])).
% 12.84/12.99 tff(16825,plain,
% 12.84/12.99 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s9) | until231(s9) | (~node235(s9)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s9) | until231(s9) | (~node235(s9)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16826,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s9) | until231(s9) | (~node235(s9)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16827,plain,
% 12.84/12.99 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s9) | until231(s9) | (~node235(s9))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 12.84/12.99 tff(16828,plain,
% 12.84/12.99 (until231(s9) | (~node235(s9))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16827, 16788, 16824])).
% 12.84/12.99 tff(16829,plain,
% 12.84/12.99 (~node235(s9)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16828, 16568])).
% 12.84/12.99 tff(16830,plain,
% 12.84/12.99 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil237(X))) <=> (loop | (~last(X)) | (~xuntil237(X))))),
% 12.84/12.99 inference(bind,[status(th)],[])).
% 12.84/12.99 tff(16831,plain,
% 12.84/12.99 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(quant_intro,[status(thm)],[16830])).
% 12.84/12.99 tff(16832,plain,
% 12.84/12.99 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16833,plain,
% 12.84/12.99 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil237(X))) <=> (loop | (~last(X)) | (~xuntil237(X))))),
% 12.84/12.99 inference(bind,[status(th)],[])).
% 12.84/12.99 tff(16834,plain,
% 12.84/12.99 (![X: $i] : ((loop | (~last(X))) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(quant_intro,[status(thm)],[16833])).
% 12.84/12.99 tff(16835,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil237(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty138')).
% 12.84/12.99 tff(16836,plain,
% 12.84/12.99 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 12.84/12.99 tff(16837,plain,
% 12.84/12.99 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16836, 16832])).
% 12.84/12.99 tff(16838,plain,(
% 12.84/12.99 ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(skolemize,[status(sab)],[16837])).
% 12.84/12.99 tff(16839,plain,
% 12.84/12.99 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16838, 16831])).
% 12.84/12.99 tff(16840,plain,
% 12.84/12.99 (((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | (loop | (~last(s9)) | (~xuntil237(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | loop | (~last(s9)) | (~xuntil237(s9)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16841,plain,
% 12.84/12.99 ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | (loop | (~last(s9)) | (~xuntil237(s9)))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16842,plain,
% 12.84/12.99 ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | loop | (~last(s9)) | (~xuntil237(s9))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 12.84/12.99 tff(16843,plain,
% 12.84/12.99 (loop | (~xuntil237(s9))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16842, 15950, 16839])).
% 12.84/12.99 tff(16844,plain,
% 12.84/12.99 (~xuntil237(s9)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16843, 15937])).
% 12.84/12.99 tff(16845,plain,
% 12.84/12.99 (^[X: $i] : refl((node235(X) | (~until236(X)) | xuntil237(X)) <=> (node235(X) | (~until236(X)) | xuntil237(X)))),
% 12.84/12.99 inference(bind,[status(th)],[])).
% 12.84/12.99 tff(16846,plain,
% 12.84/12.99 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X)) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(quant_intro,[status(thm)],[16845])).
% 12.84/12.99 tff(16847,plain,
% 12.84/12.99 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X)) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16848,plain,
% 12.84/12.99 (^[X: $i] : rewrite(((node235(X) | xuntil237(X)) | (~until236(X))) <=> (node235(X) | (~until236(X)) | xuntil237(X)))),
% 12.84/12.99 inference(bind,[status(th)],[])).
% 12.84/12.99 tff(16849,plain,
% 12.84/12.99 (![X: $i] : ((node235(X) | xuntil237(X)) | (~until236(X))) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(quant_intro,[status(thm)],[16848])).
% 12.84/12.99 tff(16850,axiom,(![X: $i] : ((node235(X) | xuntil237(X)) | (~until236(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty136')).
% 12.84/12.99 tff(16851,plain,
% 12.84/12.99 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 12.84/12.99 tff(16852,plain,
% 12.84/12.99 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16851, 16847])).
% 12.84/12.99 tff(16853,plain,(
% 12.84/12.99 ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(skolemize,[status(sab)],[16852])).
% 12.84/12.99 tff(16854,plain,
% 12.84/12.99 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16853, 16846])).
% 12.84/12.99 tff(16855,plain,
% 12.84/12.99 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s9) | node235(s9) | (~until236(s9)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16856,plain,
% 12.84/12.99 ((node235(s9) | (~until236(s9)) | xuntil237(s9)) <=> (xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.84/12.99 inference(rewrite,[status(thm)],[])).
% 12.84/12.99 tff(16857,plain,
% 12.84/12.99 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s9) | node235(s9) | (~until236(s9))))),
% 12.84/12.99 inference(monotonicity,[status(thm)],[16856])).
% 12.84/12.99 tff(16858,plain,
% 12.84/12.99 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.84/12.99 inference(transitivity,[status(thm)],[16857, 16855])).
% 12.84/12.99 tff(16859,plain,
% 12.84/12.99 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))),
% 12.84/12.99 inference(quant_inst,[status(thm)],[])).
% 12.84/12.99 tff(16860,plain,
% 12.84/12.99 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9))),
% 12.84/12.99 inference(modus_ponens,[status(thm)],[16859, 16858])).
% 12.84/12.99 tff(16861,plain,
% 12.84/12.99 (node235(s9) | (~until236(s9))),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16860, 16854, 16844])).
% 12.84/12.99 tff(16862,plain,
% 12.84/12.99 (~until236(s9)),
% 12.84/12.99 inference(unit_resolution,[status(thm)],[16861, 16829])).
% 12.84/12.99 tff(16863,plain,
% 12.84/12.99 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)))),
% 12.84/12.99 inference(bind,[status(th)],[])).
% 12.84/12.99 tff(16864,plain,
% 12.84/12.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(quant_intro,[status(thm)],[16863])).
% 12.84/13.00 tff(16865,plain,
% 12.84/13.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16866,plain,
% 12.84/13.00 (^[Y: $i, X: $i] : rewrite(((until236(Y) | (~succ(X, Y))) | (~xuntil237(X))) <=> ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)))),
% 12.84/13.00 inference(bind,[status(th)],[])).
% 12.84/13.00 tff(16867,plain,
% 12.84/13.00 (![Y: $i, X: $i] : ((until236(Y) | (~succ(X, Y))) | (~xuntil237(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(quant_intro,[status(thm)],[16866])).
% 12.84/13.00 tff(16868,axiom,(![Y: $i, X: $i] : ((until236(Y) | (~succ(X, Y))) | (~xuntil237(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty137')).
% 12.84/13.00 tff(16869,plain,
% 12.84/13.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 12.84/13.00 tff(16870,plain,
% 12.84/13.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16869, 16865])).
% 12.84/13.00 tff(16871,plain,(
% 12.84/13.00 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(skolemize,[status(sab)],[16870])).
% 12.84/13.00 tff(16872,plain,
% 12.84/13.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16871, 16864])).
% 12.84/13.00 tff(16873,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16874,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16875,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 12.84/13.00 tff(16876,plain,
% 12.84/13.00 ((~xuntil237(s8)) | until236(s9)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16875, 5504, 16872])).
% 12.84/13.00 tff(16877,plain,
% 12.84/13.00 (~xuntil237(s8)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16876, 16862])).
% 12.84/13.00 tff(16878,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s8) | node235(s8) | (~until236(s8)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16879,plain,
% 12.84/13.00 ((node235(s8) | (~until236(s8)) | xuntil237(s8)) <=> (xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16880,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s8) | node235(s8) | (~until236(s8))))),
% 12.84/13.00 inference(monotonicity,[status(thm)],[16879])).
% 12.84/13.00 tff(16881,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.84/13.00 inference(transitivity,[status(thm)],[16880, 16878])).
% 12.84/13.00 tff(16882,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16883,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16882, 16881])).
% 12.84/13.00 tff(16884,plain,
% 12.84/13.00 (node235(s8) | (~until236(s8))),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16883, 16854, 16877])).
% 12.84/13.00 tff(16885,plain,
% 12.84/13.00 (~until236(s8)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16884, 16820])).
% 12.84/13.00 tff(16886,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16887,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16888,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16887, 16886])).
% 12.84/13.00 tff(16889,plain,
% 12.84/13.00 ((~xuntil237(s7)) | until236(s8)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16888, 5300, 16872])).
% 12.84/13.00 tff(16890,plain,
% 12.84/13.00 (~xuntil237(s7)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16889, 16885])).
% 12.84/13.00 tff(16891,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s7) | node235(s7) | (~until236(s7)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16892,plain,
% 12.84/13.00 ((node235(s7) | (~until236(s7)) | xuntil237(s7)) <=> (xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16893,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s7) | node235(s7) | (~until236(s7))))),
% 12.84/13.00 inference(monotonicity,[status(thm)],[16892])).
% 12.84/13.00 tff(16894,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.84/13.00 inference(transitivity,[status(thm)],[16893, 16891])).
% 12.84/13.00 tff(16895,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16896,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 12.84/13.00 tff(16897,plain,
% 12.84/13.00 (node235(s7) | (~until236(s7))),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16896, 16854, 16890])).
% 12.84/13.00 tff(16898,plain,
% 12.84/13.00 (~until236(s7)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16897, 16811])).
% 12.84/13.00 tff(16899,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16900,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16901,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16900, 16899])).
% 12.84/13.00 tff(16902,plain,
% 12.84/13.00 ((~xuntil237(s6)) | until236(s7)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16901, 5158, 16872])).
% 12.84/13.00 tff(16903,plain,
% 12.84/13.00 (~xuntil237(s6)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16902, 16898])).
% 12.84/13.00 tff(16904,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s6) | node235(s6) | (~until236(s6)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16905,plain,
% 12.84/13.00 ((node235(s6) | (~until236(s6)) | xuntil237(s6)) <=> (xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16906,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s6) | node235(s6) | (~until236(s6))))),
% 12.84/13.00 inference(monotonicity,[status(thm)],[16905])).
% 12.84/13.00 tff(16907,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.84/13.00 inference(transitivity,[status(thm)],[16906, 16904])).
% 12.84/13.00 tff(16908,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16909,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16908, 16907])).
% 12.84/13.00 tff(16910,plain,
% 12.84/13.00 (node235(s6) | (~until236(s6))),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16909, 16854, 16903])).
% 12.84/13.00 tff(16911,plain,
% 12.84/13.00 (~until236(s6)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16910, 16802])).
% 12.84/13.00 tff(16912,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16913,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16914,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 12.84/13.00 tff(16915,plain,
% 12.84/13.00 ((~xuntil237(s5)) | until236(s6)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16914, 11, 16872])).
% 12.84/13.00 tff(16916,plain,
% 12.84/13.00 (~xuntil237(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16915, 16911])).
% 12.84/13.00 tff(16917,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s5) | node235(s5) | (~until236(s5)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16918,plain,
% 12.84/13.00 ((node235(s5) | (~until236(s5)) | xuntil237(s5)) <=> (xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16919,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s5) | node235(s5) | (~until236(s5))))),
% 12.84/13.00 inference(monotonicity,[status(thm)],[16918])).
% 12.84/13.00 tff(16920,plain,
% 12.84/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.84/13.00 inference(transitivity,[status(thm)],[16919, 16917])).
% 12.84/13.00 tff(16921,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16922,plain,
% 12.84/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 12.84/13.00 tff(16923,plain,
% 12.84/13.00 (~until236(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16922, 16854, 16916, 16793])).
% 12.84/13.00 tff(16924,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16925,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16926,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 12.84/13.00 tff(16927,plain,
% 12.84/13.00 ((~xuntil237(s4)) | until236(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16926, 4249, 16872])).
% 12.84/13.00 tff(16928,plain,
% 12.84/13.00 (~xuntil237(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16927, 16923])).
% 12.84/13.00 tff(16929,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16930,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16931,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 12.84/13.00 tff(16932,plain,
% 12.84/13.00 ((~xuntil232(s4)) | until231(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16931, 4249, 16578])).
% 12.84/13.00 tff(16933,plain,
% 12.84/13.00 (~xuntil232(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16932, 16719])).
% 12.84/13.00 tff(16934,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16935,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16936,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 12.84/13.00 tff(16937,plain,
% 12.84/13.00 ((~xuntil227(s4)) | until226(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16936, 4249, 16338])).
% 12.84/13.00 tff(16938,plain,
% 12.84/13.00 (~xuntil227(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16937, 16697])).
% 12.84/13.00 tff(16939,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16940,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16941,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 12.84/13.00 tff(16942,plain,
% 12.84/13.00 ((~xuntil222(s4)) | until221(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16941, 4249, 16152])).
% 12.84/13.00 tff(16943,plain,
% 12.84/13.00 (~xuntil222(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16942, 16675])).
% 12.84/13.00 tff(16944,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16945,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16946,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 12.84/13.00 tff(16947,plain,
% 12.84/13.00 ((~xuntil217(s4)) | until216(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16946, 4249, 16075])).
% 12.84/13.00 tff(16948,plain,
% 12.84/13.00 (~xuntil217(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16947, 16653])).
% 12.84/13.00 tff(16949,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s4, s5)) | (~always214(s4)) | always214(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s4, s5)) | (~always214(s4)) | always214(s5))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16950,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s4, s5)) | (~always214(s4)) | always214(s5))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16951,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s4, s5)) | (~always214(s4)) | always214(s5)),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 12.84/13.00 tff(16952,plain,
% 12.84/13.00 ((~always214(s4)) | always214(s5)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16951, 16009, 4253])).
% 12.84/13.00 tff(16953,plain,
% 12.84/13.00 (~always214(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16952, 16641])).
% 12.84/13.00 tff(16954,plain,
% 12.84/13.00 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s4) | (~node215(s4)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s4) | (~node215(s4)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16955,plain,
% 12.84/13.00 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s4) | (~node215(s4)))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16956,plain,
% 12.84/13.00 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s4) | (~node215(s4))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16955, 16954])).
% 12.84/13.00 tff(16957,plain,
% 12.84/13.00 (~node215(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16956, 16024, 16953])).
% 12.84/13.00 tff(16958,plain,
% 12.84/13.00 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s4) | node215(s4) | (~until216(s4)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16959,plain,
% 12.84/13.00 ((node215(s4) | (~until216(s4)) | xuntil217(s4)) <=> (xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16960,plain,
% 12.84/13.00 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s4) | node215(s4) | (~until216(s4))))),
% 12.84/13.00 inference(monotonicity,[status(thm)],[16959])).
% 12.84/13.00 tff(16961,plain,
% 12.84/13.00 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.84/13.00 inference(transitivity,[status(thm)],[16960, 16958])).
% 12.84/13.00 tff(16962,plain,
% 12.84/13.00 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16963,plain,
% 12.84/13.00 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 12.84/13.00 tff(16964,plain,
% 12.84/13.00 (xuntil217(s4) | (~until216(s4))),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16963, 16057, 16957])).
% 12.84/13.00 tff(16965,plain,
% 12.84/13.00 (~until216(s4)),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16964, 16948])).
% 12.84/13.00 tff(16966,plain,
% 12.84/13.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s4, s5)) | always212(s5) | (~always212(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s4, s5)) | always212(s5) | (~always212(s4)))),
% 12.84/13.00 inference(rewrite,[status(thm)],[])).
% 12.84/13.00 tff(16967,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s4, s5)) | always212(s5) | (~always212(s4)))),
% 12.84/13.00 inference(quant_inst,[status(thm)],[])).
% 12.84/13.00 tff(16968,plain,
% 12.84/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s4, s5)) | always212(s5) | (~always212(s4))),
% 12.84/13.00 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 12.84/13.00 tff(16969,plain,
% 12.84/13.00 (always212(s5) | (~always212(s4))),
% 12.84/13.00 inference(unit_resolution,[status(thm)],[16968, 15965, 4253])).
% 12.85/13.00 tff(16970,plain,
% 12.85/13.00 (~always212(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16969, 16658])).
% 12.85/13.00 tff(16971,plain,
% 12.85/13.00 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s4) | (~node213(s4)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s4) | (~node213(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16972,plain,
% 12.85/13.00 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s4) | (~node213(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16973,plain,
% 12.85/13.00 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s4) | (~node213(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16972, 16971])).
% 12.85/13.00 tff(16974,plain,
% 12.85/13.00 (~node213(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16973, 15980, 16970])).
% 12.85/13.00 tff(16975,plain,
% 12.85/13.00 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s4) | until216(s4) | (~node220(s4)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s4) | until216(s4) | (~node220(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16976,plain,
% 12.85/13.00 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s4) | until216(s4) | (~node220(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16977,plain,
% 12.85/13.00 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s4) | until216(s4) | (~node220(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 12.85/13.00 tff(16978,plain,
% 12.85/13.00 (until216(s4) | (~node220(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16977, 16097, 16974])).
% 12.85/13.00 tff(16979,plain,
% 12.85/13.00 (~node220(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16978, 16965])).
% 12.85/13.00 tff(16980,plain,
% 12.85/13.00 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s4) | node220(s4) | (~until221(s4)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16981,plain,
% 12.85/13.00 ((node220(s4) | (~until221(s4)) | xuntil222(s4)) <=> (xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16982,plain,
% 12.85/13.00 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s4) | node220(s4) | (~until221(s4))))),
% 12.85/13.00 inference(monotonicity,[status(thm)],[16981])).
% 12.85/13.00 tff(16983,plain,
% 12.85/13.00 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.85/13.00 inference(transitivity,[status(thm)],[16982, 16980])).
% 12.85/13.00 tff(16984,plain,
% 12.85/13.00 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16985,plain,
% 12.85/13.00 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16984, 16983])).
% 12.85/13.00 tff(16986,plain,
% 12.85/13.00 (xuntil222(s4) | (~until221(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16985, 16134, 16979])).
% 12.85/13.00 tff(16987,plain,
% 12.85/13.00 (~until221(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16986, 16943])).
% 12.85/13.00 tff(16988,plain,
% 12.85/13.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s4, s5)) | always210(s5) | (~always210(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s4, s5)) | always210(s5) | (~always210(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16989,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s4, s5)) | always210(s5) | (~always210(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16990,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s4, s5)) | always210(s5) | (~always210(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 12.85/13.00 tff(16991,plain,
% 12.85/13.00 (always210(s5) | (~always210(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16990, 16238, 4253])).
% 12.85/13.00 tff(16992,plain,
% 12.85/13.00 (~always210(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16991, 16680])).
% 12.85/13.00 tff(16993,plain,
% 12.85/13.00 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s4) | (~node211(s4)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s4) | (~node211(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16994,plain,
% 12.85/13.00 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s4) | (~node211(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16995,plain,
% 12.85/13.00 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s4) | (~node211(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16994, 16993])).
% 12.85/13.00 tff(16996,plain,
% 12.85/13.00 (~node211(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16995, 16258, 16992])).
% 12.85/13.00 tff(16997,plain,
% 12.85/13.00 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s4) | until221(s4) | (~node225(s4)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s4) | until221(s4) | (~node225(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(16998,plain,
% 12.85/13.00 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s4) | until221(s4) | (~node225(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(16999,plain,
% 12.85/13.00 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s4) | until221(s4) | (~node225(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[16998, 16997])).
% 12.85/13.00 tff(17000,plain,
% 12.85/13.00 (until221(s4) | (~node225(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[16999, 16272, 16996])).
% 12.85/13.00 tff(17001,plain,
% 12.85/13.00 (~node225(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17000, 16987])).
% 12.85/13.00 tff(17002,plain,
% 12.85/13.00 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s4) | node225(s4) | (~until226(s4)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17003,plain,
% 12.85/13.00 ((node225(s4) | (~until226(s4)) | xuntil227(s4)) <=> (xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17004,plain,
% 12.85/13.00 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s4) | node225(s4) | (~until226(s4))))),
% 12.85/13.00 inference(monotonicity,[status(thm)],[17003])).
% 12.85/13.00 tff(17005,plain,
% 12.85/13.00 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.85/13.00 inference(transitivity,[status(thm)],[17004, 17002])).
% 12.85/13.00 tff(17006,plain,
% 12.85/13.00 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17007,plain,
% 12.85/13.00 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 12.85/13.00 tff(17008,plain,
% 12.85/13.00 (xuntil227(s4) | (~until226(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17007, 16320, 17001])).
% 12.85/13.00 tff(17009,plain,
% 12.85/13.00 (~until226(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17008, 16938])).
% 12.85/13.00 tff(17010,plain,
% 12.85/13.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s4, s5)) | (~always208(s4)) | always208(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s4, s5)) | (~always208(s4)) | always208(s5))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17011,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s4, s5)) | (~always208(s4)) | always208(s5))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17012,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s4, s5)) | (~always208(s4)) | always208(s5)),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 12.85/13.00 tff(17013,plain,
% 12.85/13.00 ((~always208(s4)) | always208(s5)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17012, 16464, 4253])).
% 12.85/13.00 tff(17014,plain,
% 12.85/13.00 (~always208(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17013, 16702])).
% 12.85/13.00 tff(17015,plain,
% 12.85/13.00 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s4) | (~node209(s4)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s4) | (~node209(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17016,plain,
% 12.85/13.00 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s4) | (~node209(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17017,plain,
% 12.85/13.00 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s4) | (~node209(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 12.85/13.00 tff(17018,plain,
% 12.85/13.00 (~node209(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17017, 16489, 17014])).
% 12.85/13.00 tff(17019,plain,
% 12.85/13.00 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s4) | until226(s4) | (~node230(s4)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s4) | until226(s4) | (~node230(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17020,plain,
% 12.85/13.00 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s4) | until226(s4) | (~node230(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17021,plain,
% 12.85/13.00 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s4) | until226(s4) | (~node230(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 12.85/13.00 tff(17022,plain,
% 12.85/13.00 (until226(s4) | (~node230(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17021, 16503, 17018])).
% 12.85/13.00 tff(17023,plain,
% 12.85/13.00 (~node230(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17022, 17009])).
% 12.85/13.00 tff(17024,plain,
% 12.85/13.00 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s4) | node230(s4) | (~until231(s4)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17025,plain,
% 12.85/13.00 ((node230(s4) | (~until231(s4)) | xuntil232(s4)) <=> (xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17026,plain,
% 12.85/13.00 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s4) | node230(s4) | (~until231(s4))))),
% 12.85/13.00 inference(monotonicity,[status(thm)],[17025])).
% 12.85/13.00 tff(17027,plain,
% 12.85/13.00 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.85/13.00 inference(transitivity,[status(thm)],[17026, 17024])).
% 12.85/13.00 tff(17028,plain,
% 12.85/13.00 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17029,plain,
% 12.85/13.00 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17028, 17027])).
% 12.85/13.00 tff(17030,plain,
% 12.85/13.00 (xuntil232(s4) | (~until231(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17029, 16560, 17023])).
% 12.85/13.00 tff(17031,plain,
% 12.85/13.00 (~until231(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17030, 16933])).
% 12.85/13.00 tff(17032,plain,
% 12.85/13.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s4, s5)) | (~always206(s4)) | always206(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s4, s5)) | (~always206(s4)) | always206(s5))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17033,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s4, s5)) | (~always206(s4)) | always206(s5))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17034,plain,
% 12.85/13.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s4, s5)) | (~always206(s4)) | always206(s5)),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 12.85/13.00 tff(17035,plain,
% 12.85/13.00 ((~always206(s4)) | always206(s5)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17034, 16744, 4253])).
% 12.85/13.00 tff(17036,plain,
% 12.85/13.00 (~always206(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17035, 16767])).
% 12.85/13.00 tff(17037,plain,
% 12.85/13.00 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s4) | (~node207(s4)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s4) | (~node207(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17038,plain,
% 12.85/13.00 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s4) | (~node207(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17039,plain,
% 12.85/13.00 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s4) | (~node207(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 12.85/13.00 tff(17040,plain,
% 12.85/13.00 (~node207(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17039, 16774, 17036])).
% 12.85/13.00 tff(17041,plain,
% 12.85/13.00 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s4) | until231(s4) | (~node235(s4)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s4) | until231(s4) | (~node235(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17042,plain,
% 12.85/13.00 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s4) | until231(s4) | (~node235(s4)))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17043,plain,
% 12.85/13.00 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s4) | until231(s4) | (~node235(s4))),
% 12.85/13.00 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 12.85/13.00 tff(17044,plain,
% 12.85/13.00 (until231(s4) | (~node235(s4))),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17043, 16788, 17040])).
% 12.85/13.00 tff(17045,plain,
% 12.85/13.00 (~node235(s4)),
% 12.85/13.00 inference(unit_resolution,[status(thm)],[17044, 17031])).
% 12.85/13.00 tff(17046,plain,
% 12.85/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s4) | node235(s4) | (~until236(s4)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17047,plain,
% 12.85/13.00 ((node235(s4) | (~until236(s4)) | xuntil237(s4)) <=> (xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.85/13.00 inference(rewrite,[status(thm)],[])).
% 12.85/13.00 tff(17048,plain,
% 12.85/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s4) | node235(s4) | (~until236(s4))))),
% 12.85/13.00 inference(monotonicity,[status(thm)],[17047])).
% 12.85/13.00 tff(17049,plain,
% 12.85/13.00 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.85/13.00 inference(transitivity,[status(thm)],[17048, 17046])).
% 12.85/13.00 tff(17050,plain,
% 12.85/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))),
% 12.85/13.00 inference(quant_inst,[status(thm)],[])).
% 12.85/13.00 tff(17051,plain,
% 12.85/13.00 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 12.85/13.01 tff(17052,plain,
% 12.85/13.01 (xuntil237(s4) | (~until236(s4))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17051, 16854, 17045])).
% 12.85/13.01 tff(17053,plain,
% 12.85/13.01 (~until236(s4)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17052, 16928])).
% 12.85/13.01 tff(17054,plain,
% 12.85/13.01 (^[X: $i] : refl((loop | (~last(X)) | (~always204(X))) <=> (loop | (~last(X)) | (~always204(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17055,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~always204(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17054])).
% 12.85/13.01 tff(17056,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~always204(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17057,plain,
% 12.85/13.01 (^[X: $i] : rewrite(((loop | (~always204(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always204(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17058,plain,
% 12.85/13.01 (![X: $i] : ((loop | (~always204(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17057])).
% 12.85/13.01 tff(17059,axiom,(![X: $i] : ((loop | (~always204(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty63')).
% 12.85/13.01 tff(17060,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17059, 17058])).
% 12.85/13.01 tff(17061,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17060, 17056])).
% 12.85/13.01 tff(17062,plain,(
% 12.85/13.01 ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(skolemize,[status(sab)],[17061])).
% 12.85/13.01 tff(17063,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17062, 17055])).
% 12.85/13.01 tff(17064,plain,
% 12.85/13.01 (((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | (loop | (~last(s9)) | (~always204(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | loop | (~last(s9)) | (~always204(s9)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17065,plain,
% 12.85/13.01 ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | (loop | (~last(s9)) | (~always204(s9)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17066,plain,
% 12.85/13.01 ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | loop | (~last(s9)) | (~always204(s9))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 12.85/13.01 tff(17067,plain,
% 12.85/13.01 (loop | (~always204(s9))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17066, 15950, 17063])).
% 12.85/13.01 tff(17068,plain,
% 12.85/13.01 (~always204(s9)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17067, 15937])).
% 12.85/13.01 tff(17069,plain,
% 12.85/13.01 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ((~trans(X, Y)) | always204(Y) | (~always204(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17070,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17069])).
% 12.85/13.01 tff(17071,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17072,plain,
% 12.85/13.01 (^[Y: $i, X: $i] : rewrite(((always204(Y) | (~trans(X, Y))) | (~always204(X))) <=> ((~trans(X, Y)) | always204(Y) | (~always204(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17073,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((always204(Y) | (~trans(X, Y))) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17072])).
% 12.85/13.01 tff(17074,axiom,(![Y: $i, X: $i] : ((always204(Y) | (~trans(X, Y))) | (~always204(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty62')).
% 12.85/13.01 tff(17075,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 12.85/13.01 tff(17076,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17075, 17071])).
% 12.85/13.01 tff(17077,plain,(
% 12.85/13.01 ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(skolemize,[status(sab)],[17076])).
% 12.85/13.01 tff(17078,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17077, 17070])).
% 12.85/13.01 tff(17079,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (always204(s9) | (~trans(s8, s9)) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17080,plain,
% 12.85/13.01 (((~trans(s8, s9)) | always204(s9) | (~always204(s8))) <=> (always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17081,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (always204(s9) | (~trans(s8, s9)) | (~always204(s8))))),
% 12.85/13.01 inference(monotonicity,[status(thm)],[17080])).
% 12.85/13.01 tff(17082,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.85/13.01 inference(transitivity,[status(thm)],[17081, 17079])).
% 12.85/13.01 tff(17083,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17084,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 12.85/13.01 tff(17085,plain,
% 12.85/13.01 (always204(s9) | (~always204(s8))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17084, 17078, 5508])).
% 12.85/13.01 tff(17086,plain,
% 12.85/13.01 (~always204(s8)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17085, 17068])).
% 12.85/13.01 tff(17087,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s7, s8)) | always204(s8) | (~always204(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s7, s8)) | always204(s8) | (~always204(s7)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17088,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s7, s8)) | always204(s8) | (~always204(s7)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17089,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s7, s8)) | always204(s8) | (~always204(s7))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 12.85/13.01 tff(17090,plain,
% 12.85/13.01 (always204(s8) | (~always204(s7))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17089, 17078, 5304])).
% 12.85/13.01 tff(17091,plain,
% 12.85/13.01 (~always204(s7)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17090, 17086])).
% 12.85/13.01 tff(17092,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s6, s7)) | always204(s7) | (~always204(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s6, s7)) | always204(s7) | (~always204(s6)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17094, 17078, 5162])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17095, 17091])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.01 inference(modus_ponens,[status(thm)],[17098, 17097])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17099, 17078, 15])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17104, 17078, 4253])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17105, 17101])).
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% 12.85/13.01 inference(bind,[status(th)],[])).
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% 12.85/13.01 inference(modus_ponens,[status(thm)],[17112, 17108])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.01 inference(bind,[status(th)],[])).
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% 12.85/13.01 inference(quant_intro,[status(thm)],[17118])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(quant_intro,[status(thm)],[17121])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(rewrite,[status(thm)],[])).
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% 12.85/13.01 inference(unit_resolution,[status(thm)],[17171, 17113, 17068])).
% 12.85/13.01 tff(17173,plain,
% 12.85/13.01 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s9) | until236(s9) | (~node240(s9)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s9) | until236(s9) | (~node240(s9)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17174,plain,
% 12.85/13.01 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s9) | until236(s9) | (~node240(s9)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17175,plain,
% 12.85/13.01 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s9) | until236(s9) | (~node240(s9))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 12.85/13.01 tff(17176,plain,
% 12.85/13.01 (until236(s9) | (~node240(s9))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17175, 17127, 17172])).
% 12.85/13.01 tff(17177,plain,
% 12.85/13.01 (~node240(s9)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17176, 16862])).
% 12.85/13.01 tff(17178,plain,
% 12.85/13.01 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil242(X))) <=> (loop | (~last(X)) | (~xuntil242(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17179,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17178])).
% 12.85/13.01 tff(17180,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17181,plain,
% 12.85/13.01 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil242(X))) <=> (loop | (~last(X)) | (~xuntil242(X))))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17182,plain,
% 12.85/13.01 (![X: $i] : ((loop | (~last(X))) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17181])).
% 12.85/13.01 tff(17183,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil242(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty146')).
% 12.85/13.01 tff(17184,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 12.85/13.01 tff(17185,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17184, 17180])).
% 12.85/13.01 tff(17186,plain,(
% 12.85/13.01 ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(skolemize,[status(sab)],[17185])).
% 12.85/13.01 tff(17187,plain,
% 12.85/13.01 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17186, 17179])).
% 12.85/13.01 tff(17188,plain,
% 12.85/13.01 (((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | (loop | (~last(s9)) | (~xuntil242(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | loop | (~last(s9)) | (~xuntil242(s9)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17189,plain,
% 12.85/13.01 ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | (loop | (~last(s9)) | (~xuntil242(s9)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17190,plain,
% 12.85/13.01 ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | loop | (~last(s9)) | (~xuntil242(s9))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 12.85/13.01 tff(17191,plain,
% 12.85/13.01 (loop | (~xuntil242(s9))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17190, 15950, 17187])).
% 12.85/13.01 tff(17192,plain,
% 12.85/13.01 (~xuntil242(s9)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17191, 15937])).
% 12.85/13.01 tff(17193,plain,
% 12.85/13.01 (^[X: $i] : refl((node240(X) | (~until241(X)) | xuntil242(X)) <=> (node240(X) | (~until241(X)) | xuntil242(X)))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17194,plain,
% 12.85/13.01 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X)) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17193])).
% 12.85/13.01 tff(17195,plain,
% 12.85/13.01 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X)) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17196,plain,
% 12.85/13.01 (^[X: $i] : rewrite(((node240(X) | xuntil242(X)) | (~until241(X))) <=> (node240(X) | (~until241(X)) | xuntil242(X)))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17197,plain,
% 12.85/13.01 (![X: $i] : ((node240(X) | xuntil242(X)) | (~until241(X))) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17196])).
% 12.85/13.01 tff(17198,axiom,(![X: $i] : ((node240(X) | xuntil242(X)) | (~until241(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty144')).
% 12.85/13.01 tff(17199,plain,
% 12.85/13.01 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 12.85/13.01 tff(17200,plain,
% 12.85/13.01 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17199, 17195])).
% 12.85/13.01 tff(17201,plain,(
% 12.85/13.01 ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(skolemize,[status(sab)],[17200])).
% 12.85/13.01 tff(17202,plain,
% 12.85/13.01 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17201, 17194])).
% 12.85/13.01 tff(17203,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s9) | node240(s9) | (~until241(s9)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17204,plain,
% 12.85/13.01 ((node240(s9) | (~until241(s9)) | xuntil242(s9)) <=> (xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17205,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s9) | node240(s9) | (~until241(s9))))),
% 12.85/13.01 inference(monotonicity,[status(thm)],[17204])).
% 12.85/13.01 tff(17206,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.85/13.01 inference(transitivity,[status(thm)],[17205, 17203])).
% 12.85/13.01 tff(17207,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17208,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 12.85/13.01 tff(17209,plain,
% 12.85/13.01 (node240(s9) | (~until241(s9))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17208, 17202, 17192])).
% 12.85/13.01 tff(17210,plain,
% 12.85/13.01 (~until241(s9)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17209, 17177])).
% 12.85/13.01 tff(17211,plain,
% 12.85/13.01 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17212,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17211])).
% 12.85/13.01 tff(17213,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17214,plain,
% 12.85/13.01 (^[Y: $i, X: $i] : rewrite(((until241(Y) | (~succ(X, Y))) | (~xuntil242(X))) <=> ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)))),
% 12.85/13.01 inference(bind,[status(th)],[])).
% 12.85/13.01 tff(17215,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((until241(Y) | (~succ(X, Y))) | (~xuntil242(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(quant_intro,[status(thm)],[17214])).
% 12.85/13.01 tff(17216,axiom,(![Y: $i, X: $i] : ((until241(Y) | (~succ(X, Y))) | (~xuntil242(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty145')).
% 12.85/13.01 tff(17217,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 12.85/13.01 tff(17218,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17217, 17213])).
% 12.85/13.01 tff(17219,plain,(
% 12.85/13.01 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(skolemize,[status(sab)],[17218])).
% 12.85/13.01 tff(17220,plain,
% 12.85/13.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17219, 17212])).
% 12.85/13.01 tff(17221,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17222,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17223,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9)),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 12.85/13.01 tff(17224,plain,
% 12.85/13.01 ((~xuntil242(s8)) | until241(s9)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17223, 5504, 17220])).
% 12.85/13.01 tff(17225,plain,
% 12.85/13.01 (~xuntil242(s8)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17224, 17210])).
% 12.85/13.01 tff(17226,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s8) | node240(s8) | (~until241(s8)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17227,plain,
% 12.85/13.01 ((node240(s8) | (~until241(s8)) | xuntil242(s8)) <=> (xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17228,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s8) | node240(s8) | (~until241(s8))))),
% 12.85/13.01 inference(monotonicity,[status(thm)],[17227])).
% 12.85/13.01 tff(17229,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.85/13.01 inference(transitivity,[status(thm)],[17228, 17226])).
% 12.85/13.01 tff(17230,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17231,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17230, 17229])).
% 12.85/13.01 tff(17232,plain,
% 12.85/13.01 (node240(s8) | (~until241(s8))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17231, 17202, 17225])).
% 12.85/13.01 tff(17233,plain,
% 12.85/13.01 (~until241(s8)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17232, 17168])).
% 12.85/13.01 tff(17234,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17235,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17236,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8)),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17235, 17234])).
% 12.85/13.01 tff(17237,plain,
% 12.85/13.01 ((~xuntil242(s7)) | until241(s8)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17236, 5300, 17220])).
% 12.85/13.01 tff(17238,plain,
% 12.85/13.01 (~xuntil242(s7)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17237, 17233])).
% 12.85/13.01 tff(17239,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s7) | node240(s7) | (~until241(s7)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17240,plain,
% 12.85/13.01 ((node240(s7) | (~until241(s7)) | xuntil242(s7)) <=> (xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17241,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s7) | node240(s7) | (~until241(s7))))),
% 12.85/13.01 inference(monotonicity,[status(thm)],[17240])).
% 12.85/13.01 tff(17242,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.85/13.01 inference(transitivity,[status(thm)],[17241, 17239])).
% 12.85/13.01 tff(17243,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17244,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 12.85/13.01 tff(17245,plain,
% 12.85/13.01 (node240(s7) | (~until241(s7))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17244, 17202, 17238])).
% 12.85/13.01 tff(17246,plain,
% 12.85/13.01 (~until241(s7)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17245, 17159])).
% 12.85/13.01 tff(17247,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17248,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17249,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7)),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 12.85/13.01 tff(17250,plain,
% 12.85/13.01 ((~xuntil242(s6)) | until241(s7)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17249, 5158, 17220])).
% 12.85/13.01 tff(17251,plain,
% 12.85/13.01 (~xuntil242(s6)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17250, 17246])).
% 12.85/13.01 tff(17252,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s6) | node240(s6) | (~until241(s6)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17253,plain,
% 12.85/13.01 ((node240(s6) | (~until241(s6)) | xuntil242(s6)) <=> (xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17254,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s6) | node240(s6) | (~until241(s6))))),
% 12.85/13.01 inference(monotonicity,[status(thm)],[17253])).
% 12.85/13.01 tff(17255,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.85/13.01 inference(transitivity,[status(thm)],[17254, 17252])).
% 12.85/13.01 tff(17256,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17257,plain,
% 12.85/13.01 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6))),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 12.85/13.01 tff(17258,plain,
% 12.85/13.01 (node240(s6) | (~until241(s6))),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17257, 17202, 17251])).
% 12.85/13.01 tff(17259,plain,
% 12.85/13.01 (~until241(s6)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17258, 17150])).
% 12.85/13.01 tff(17260,plain,
% 12.85/13.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))),
% 12.85/13.01 inference(rewrite,[status(thm)],[])).
% 12.85/13.01 tff(17261,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(17262,plain,
% 12.85/13.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6)),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 12.85/13.01 tff(17263,plain,
% 12.85/13.01 ((~xuntil242(s5)) | until241(s6)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17262, 11, 17220])).
% 12.85/13.01 tff(17264,plain,
% 12.85/13.01 (~xuntil242(s5)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[17263, 17259])).
% 12.85/13.01 tff(17265,plain,
% 12.85/13.01 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s5) | node240(s5) | (~until241(s5)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17266,plain,
% 12.85/13.02 ((node240(s5) | (~until241(s5)) | xuntil242(s5)) <=> (xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17267,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s5) | node240(s5) | (~until241(s5))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17266])).
% 12.85/13.02 tff(17268,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17267, 17265])).
% 12.85/13.02 tff(17269,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17270,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 12.85/13.02 tff(17271,plain,
% 12.85/13.02 (node240(s5) | (~until241(s5))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17270, 17202, 17264])).
% 12.85/13.02 tff(17272,plain,
% 12.85/13.02 (~until241(s5)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17271, 17141])).
% 12.85/13.02 tff(17273,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17274,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17275,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 12.85/13.02 tff(17276,plain,
% 12.85/13.02 ((~xuntil242(s4)) | until241(s5)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17275, 4249, 17220])).
% 12.85/13.02 tff(17277,plain,
% 12.85/13.02 (~xuntil242(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17276, 17272])).
% 12.85/13.02 tff(17278,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s4) | node240(s4) | (~until241(s4)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17279,plain,
% 12.85/13.02 ((node240(s4) | (~until241(s4)) | xuntil242(s4)) <=> (xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17280,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s4) | node240(s4) | (~until241(s4))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17279])).
% 12.85/13.02 tff(17281,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17280, 17278])).
% 12.85/13.02 tff(17282,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17283,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 12.85/13.02 tff(17284,plain,
% 12.85/13.02 (~until241(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17283, 17202, 17277, 17132])).
% 12.85/13.02 tff(17285,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17286,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17287,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17286, 17285])).
% 12.85/13.02 tff(17288,plain,
% 12.85/13.02 ((~xuntil242(s3)) | until241(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17287, 1175, 17220])).
% 12.85/13.02 tff(17289,plain,
% 12.85/13.02 (~xuntil242(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17288, 17284])).
% 12.85/13.02 tff(17290,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17291,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17292,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17291, 17290])).
% 12.85/13.02 tff(17293,plain,
% 12.85/13.02 ((~xuntil237(s3)) | until236(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17292, 1175, 16872])).
% 12.85/13.02 tff(17294,plain,
% 12.85/13.02 (~xuntil237(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17293, 17053])).
% 12.85/13.02 tff(17295,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17296,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17297,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 12.85/13.02 tff(17298,plain,
% 12.85/13.02 ((~xuntil232(s3)) | until231(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17297, 1175, 16578])).
% 12.85/13.02 tff(17299,plain,
% 12.85/13.02 (~xuntil232(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17298, 17031])).
% 12.85/13.02 tff(17300,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17301,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17302,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 12.85/13.02 tff(17303,plain,
% 12.85/13.02 ((~xuntil227(s3)) | until226(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17302, 1175, 16338])).
% 12.85/13.02 tff(17304,plain,
% 12.85/13.02 (~xuntil227(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17303, 17009])).
% 12.85/13.02 tff(17305,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17306,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17307,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 12.85/13.02 tff(17308,plain,
% 12.85/13.02 ((~xuntil222(s3)) | until221(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17307, 1175, 16152])).
% 12.85/13.02 tff(17309,plain,
% 12.85/13.02 (~xuntil222(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17308, 16987])).
% 12.85/13.02 tff(17310,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17311,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17312,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17311, 17310])).
% 12.85/13.02 tff(17313,plain,
% 12.85/13.02 ((~xuntil217(s3)) | until216(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17312, 1175, 16075])).
% 12.85/13.02 tff(17314,plain,
% 12.85/13.02 (~xuntil217(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17313, 16965])).
% 12.85/13.02 tff(17315,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s3, s4)) | (~always214(s3)) | always214(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s3, s4)) | (~always214(s3)) | always214(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17316,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s3, s4)) | (~always214(s3)) | always214(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17317,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s3, s4)) | (~always214(s3)) | always214(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 12.85/13.02 tff(17318,plain,
% 12.85/13.02 ((~always214(s3)) | always214(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17317, 16009, 1179])).
% 12.85/13.02 tff(17319,plain,
% 12.85/13.02 (~always214(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17318, 16953])).
% 12.85/13.02 tff(17320,plain,
% 12.85/13.02 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s3) | (~node215(s3)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s3) | (~node215(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17321,plain,
% 12.85/13.02 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s3) | (~node215(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17322,plain,
% 12.85/13.02 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s3) | (~node215(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 12.85/13.02 tff(17323,plain,
% 12.85/13.02 (~node215(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17322, 16024, 17319])).
% 12.85/13.02 tff(17324,plain,
% 12.85/13.02 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s3) | node215(s3) | (~until216(s3)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17325,plain,
% 12.85/13.02 ((node215(s3) | (~until216(s3)) | xuntil217(s3)) <=> (xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17326,plain,
% 12.85/13.02 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s3) | node215(s3) | (~until216(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17325])).
% 12.85/13.02 tff(17327,plain,
% 12.85/13.02 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17326, 17324])).
% 12.85/13.02 tff(17328,plain,
% 12.85/13.02 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17329,plain,
% 12.85/13.02 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17328, 17327])).
% 12.85/13.02 tff(17330,plain,
% 12.85/13.02 (xuntil217(s3) | (~until216(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17329, 16057, 17323])).
% 12.85/13.02 tff(17331,plain,
% 12.85/13.02 (~until216(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17330, 17314])).
% 12.85/13.02 tff(17332,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s3, s4)) | always212(s4) | (~always212(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s3, s4)) | always212(s4) | (~always212(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17333,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s3, s4)) | always212(s4) | (~always212(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17334,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s3, s4)) | always212(s4) | (~always212(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 12.85/13.02 tff(17335,plain,
% 12.85/13.02 (always212(s4) | (~always212(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17334, 15965, 1179])).
% 12.85/13.02 tff(17336,plain,
% 12.85/13.02 (~always212(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17335, 16970])).
% 12.85/13.02 tff(17337,plain,
% 12.85/13.02 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s3) | (~node213(s3)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s3) | (~node213(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17338,plain,
% 12.85/13.02 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s3) | (~node213(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17339,plain,
% 12.85/13.02 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s3) | (~node213(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17338, 17337])).
% 12.85/13.02 tff(17340,plain,
% 12.85/13.02 (~node213(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17339, 15980, 17336])).
% 12.85/13.02 tff(17341,plain,
% 12.85/13.02 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s3) | until216(s3) | (~node220(s3)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s3) | until216(s3) | (~node220(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17342,plain,
% 12.85/13.02 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s3) | until216(s3) | (~node220(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17343,plain,
% 12.85/13.02 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s3) | until216(s3) | (~node220(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 12.85/13.02 tff(17344,plain,
% 12.85/13.02 (until216(s3) | (~node220(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17343, 16097, 17340])).
% 12.85/13.02 tff(17345,plain,
% 12.85/13.02 (~node220(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17344, 17331])).
% 12.85/13.02 tff(17346,plain,
% 12.85/13.02 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s3) | node220(s3) | (~until221(s3)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17347,plain,
% 12.85/13.02 ((node220(s3) | (~until221(s3)) | xuntil222(s3)) <=> (xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17348,plain,
% 12.85/13.02 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s3) | node220(s3) | (~until221(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17347])).
% 12.85/13.02 tff(17349,plain,
% 12.85/13.02 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17348, 17346])).
% 12.85/13.02 tff(17350,plain,
% 12.85/13.02 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17351,plain,
% 12.85/13.02 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 12.85/13.02 tff(17352,plain,
% 12.85/13.02 (xuntil222(s3) | (~until221(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17351, 16134, 17345])).
% 12.85/13.02 tff(17353,plain,
% 12.85/13.02 (~until221(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17352, 17309])).
% 12.85/13.02 tff(17354,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s3, s4)) | always210(s4) | (~always210(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s3, s4)) | always210(s4) | (~always210(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17355,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s3, s4)) | always210(s4) | (~always210(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17356,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s3, s4)) | always210(s4) | (~always210(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17355, 17354])).
% 12.85/13.02 tff(17357,plain,
% 12.85/13.02 (always210(s4) | (~always210(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17356, 16238, 1179])).
% 12.85/13.02 tff(17358,plain,
% 12.85/13.02 (~always210(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17357, 16992])).
% 12.85/13.02 tff(17359,plain,
% 12.85/13.02 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s3) | (~node211(s3)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s3) | (~node211(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17360,plain,
% 12.85/13.02 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s3) | (~node211(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17361,plain,
% 12.85/13.02 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s3) | (~node211(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17360, 17359])).
% 12.85/13.02 tff(17362,plain,
% 12.85/13.02 (~node211(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17361, 16258, 17358])).
% 12.85/13.02 tff(17363,plain,
% 12.85/13.02 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s3) | until221(s3) | (~node225(s3)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s3) | until221(s3) | (~node225(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17364,plain,
% 12.85/13.02 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s3) | until221(s3) | (~node225(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17365,plain,
% 12.85/13.02 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s3) | until221(s3) | (~node225(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17364, 17363])).
% 12.85/13.02 tff(17366,plain,
% 12.85/13.02 (until221(s3) | (~node225(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17365, 16272, 17362])).
% 12.85/13.02 tff(17367,plain,
% 12.85/13.02 (~node225(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17366, 17353])).
% 12.85/13.02 tff(17368,plain,
% 12.85/13.02 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s3) | node225(s3) | (~until226(s3)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17369,plain,
% 12.85/13.02 ((node225(s3) | (~until226(s3)) | xuntil227(s3)) <=> (xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17370,plain,
% 12.85/13.02 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s3) | node225(s3) | (~until226(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17369])).
% 12.85/13.02 tff(17371,plain,
% 12.85/13.02 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17370, 17368])).
% 12.85/13.02 tff(17372,plain,
% 12.85/13.02 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17373,plain,
% 12.85/13.02 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17372, 17371])).
% 12.85/13.02 tff(17374,plain,
% 12.85/13.02 (xuntil227(s3) | (~until226(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17373, 16320, 17367])).
% 12.85/13.02 tff(17375,plain,
% 12.85/13.02 (~until226(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17374, 17304])).
% 12.85/13.02 tff(17376,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s3, s4)) | (~always208(s3)) | always208(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s3, s4)) | (~always208(s3)) | always208(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17377,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s3, s4)) | (~always208(s3)) | always208(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17378,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s3, s4)) | (~always208(s3)) | always208(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 12.85/13.02 tff(17379,plain,
% 12.85/13.02 ((~always208(s3)) | always208(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17378, 16464, 1179])).
% 12.85/13.02 tff(17380,plain,
% 12.85/13.02 (~always208(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17379, 17014])).
% 12.85/13.02 tff(17381,plain,
% 12.85/13.02 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s3) | (~node209(s3)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s3) | (~node209(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17382,plain,
% 12.85/13.02 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s3) | (~node209(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17383,plain,
% 12.85/13.02 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s3) | (~node209(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17382, 17381])).
% 12.85/13.02 tff(17384,plain,
% 12.85/13.02 (~node209(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17383, 16489, 17380])).
% 12.85/13.02 tff(17385,plain,
% 12.85/13.02 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s3) | until226(s3) | (~node230(s3)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s3) | until226(s3) | (~node230(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17386,plain,
% 12.85/13.02 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s3) | until226(s3) | (~node230(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17387,plain,
% 12.85/13.02 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s3) | until226(s3) | (~node230(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 12.85/13.02 tff(17388,plain,
% 12.85/13.02 (until226(s3) | (~node230(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17387, 16503, 17384])).
% 12.85/13.02 tff(17389,plain,
% 12.85/13.02 (~node230(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17388, 17375])).
% 12.85/13.02 tff(17390,plain,
% 12.85/13.02 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s3) | node230(s3) | (~until231(s3)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17391,plain,
% 12.85/13.02 ((node230(s3) | (~until231(s3)) | xuntil232(s3)) <=> (xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17392,plain,
% 12.85/13.02 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s3) | (~until231(s3)) | xuntil232(s3))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s3) | node230(s3) | (~until231(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17391])).
% 12.85/13.02 tff(17393,plain,
% 12.85/13.02 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s3) | (~until231(s3)) | xuntil232(s3))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17392, 17390])).
% 12.85/13.02 tff(17394,plain,
% 12.85/13.02 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s3) | (~until231(s3)) | xuntil232(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17395,plain,
% 12.85/13.02 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17394, 17393])).
% 12.85/13.02 tff(17396,plain,
% 12.85/13.02 (xuntil232(s3) | (~until231(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17395, 16560, 17389])).
% 12.85/13.02 tff(17397,plain,
% 12.85/13.02 (~until231(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17396, 17299])).
% 12.85/13.02 tff(17398,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s3, s4)) | (~always206(s3)) | always206(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s3, s4)) | (~always206(s3)) | always206(s4))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17399,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s3, s4)) | (~always206(s3)) | always206(s4))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17400,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s3, s4)) | (~always206(s3)) | always206(s4)),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 12.85/13.02 tff(17401,plain,
% 12.85/13.02 ((~always206(s3)) | always206(s4)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17400, 16744, 1179])).
% 12.85/13.02 tff(17402,plain,
% 12.85/13.02 (~always206(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17401, 17036])).
% 12.85/13.02 tff(17403,plain,
% 12.85/13.02 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s3) | (~node207(s3)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s3) | (~node207(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17404,plain,
% 12.85/13.02 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s3) | (~node207(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17405,plain,
% 12.85/13.02 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s3) | (~node207(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 12.85/13.02 tff(17406,plain,
% 12.85/13.02 (~node207(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17405, 16774, 17402])).
% 12.85/13.02 tff(17407,plain,
% 12.85/13.02 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s3) | until231(s3) | (~node235(s3)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s3) | until231(s3) | (~node235(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17408,plain,
% 12.85/13.02 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s3) | until231(s3) | (~node235(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17409,plain,
% 12.85/13.02 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s3) | until231(s3) | (~node235(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 12.85/13.02 tff(17410,plain,
% 12.85/13.02 (until231(s3) | (~node235(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17409, 16788, 17406])).
% 12.85/13.02 tff(17411,plain,
% 12.85/13.02 (~node235(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17410, 17397])).
% 12.85/13.02 tff(17412,plain,
% 12.85/13.02 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s3) | node235(s3) | (~until236(s3)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s3) | node235(s3) | (~until236(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17413,plain,
% 12.85/13.02 ((node235(s3) | (~until236(s3)) | xuntil237(s3)) <=> (xuntil237(s3) | node235(s3) | (~until236(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17414,plain,
% 12.85/13.02 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s3) | (~until236(s3)) | xuntil237(s3))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s3) | node235(s3) | (~until236(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17413])).
% 12.85/13.02 tff(17415,plain,
% 12.85/13.02 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s3) | (~until236(s3)) | xuntil237(s3))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s3) | node235(s3) | (~until236(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17414, 17412])).
% 12.85/13.02 tff(17416,plain,
% 12.85/13.02 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s3) | (~until236(s3)) | xuntil237(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17417,plain,
% 12.85/13.02 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s3) | node235(s3) | (~until236(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 12.85/13.02 tff(17418,plain,
% 12.85/13.02 (xuntil237(s3) | (~until236(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17417, 16854, 17411])).
% 12.85/13.02 tff(17419,plain,
% 12.85/13.02 (~until236(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17418, 17294])).
% 12.85/13.02 tff(17420,plain,
% 12.85/13.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s3, s4)) | always204(s4) | (~always204(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s3, s4)) | always204(s4) | (~always204(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17421,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s3, s4)) | always204(s4) | (~always204(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17422,plain,
% 12.85/13.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s3, s4)) | always204(s4) | (~always204(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 12.85/13.02 tff(17423,plain,
% 12.85/13.02 (always204(s4) | (~always204(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17422, 17078, 1179])).
% 12.85/13.02 tff(17424,plain,
% 12.85/13.02 (~always204(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17423, 17106])).
% 12.85/13.02 tff(17425,plain,
% 12.85/13.02 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s3) | (~node205(s3)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s3) | (~node205(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17426,plain,
% 12.85/13.02 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s3) | (~node205(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17427,plain,
% 12.85/13.02 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s3) | (~node205(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17426, 17425])).
% 12.85/13.02 tff(17428,plain,
% 12.85/13.02 (~node205(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17427, 17113, 17424])).
% 12.85/13.02 tff(17429,plain,
% 12.85/13.02 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s3) | until236(s3) | (~node240(s3)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s3) | until236(s3) | (~node240(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17430,plain,
% 12.85/13.02 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s3) | until236(s3) | (~node240(s3)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17431,plain,
% 12.85/13.02 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s3) | until236(s3) | (~node240(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 12.85/13.02 tff(17432,plain,
% 12.85/13.02 (until236(s3) | (~node240(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17431, 17127, 17428])).
% 12.85/13.02 tff(17433,plain,
% 12.85/13.02 (~node240(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17432, 17419])).
% 12.85/13.02 tff(17434,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s3) | node240(s3) | (~until241(s3)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s3) | node240(s3) | (~until241(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17435,plain,
% 12.85/13.02 ((node240(s3) | (~until241(s3)) | xuntil242(s3)) <=> (xuntil242(s3) | node240(s3) | (~until241(s3)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17436,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s3) | (~until241(s3)) | xuntil242(s3))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s3) | node240(s3) | (~until241(s3))))),
% 12.85/13.02 inference(monotonicity,[status(thm)],[17435])).
% 12.85/13.02 tff(17437,plain,
% 12.85/13.02 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s3) | (~until241(s3)) | xuntil242(s3))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s3) | node240(s3) | (~until241(s3)))),
% 12.85/13.02 inference(transitivity,[status(thm)],[17436, 17434])).
% 12.85/13.02 tff(17438,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s3) | (~until241(s3)) | xuntil242(s3))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17439,plain,
% 12.85/13.02 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s3) | node240(s3) | (~until241(s3))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 12.85/13.02 tff(17440,plain,
% 12.85/13.02 (xuntil242(s3) | (~until241(s3))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17439, 17202, 17433])).
% 12.85/13.02 tff(17441,plain,
% 12.85/13.02 (~until241(s3)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17440, 17289])).
% 12.85/13.02 tff(17442,plain,
% 12.85/13.02 (^[X: $i] : refl((loop | (~last(X)) | (~always202(X))) <=> (loop | (~last(X)) | (~always202(X))))),
% 12.85/13.02 inference(bind,[status(th)],[])).
% 12.85/13.02 tff(17443,plain,
% 12.85/13.02 (![X: $i] : (loop | (~last(X)) | (~always202(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(quant_intro,[status(thm)],[17442])).
% 12.85/13.02 tff(17444,plain,
% 12.85/13.02 (![X: $i] : (loop | (~last(X)) | (~always202(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17445,plain,
% 12.85/13.02 (^[X: $i] : rewrite(((loop | (~always202(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always202(X))))),
% 12.85/13.02 inference(bind,[status(th)],[])).
% 12.85/13.02 tff(17446,plain,
% 12.85/13.02 (![X: $i] : ((loop | (~always202(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(quant_intro,[status(thm)],[17445])).
% 12.85/13.02 tff(17447,axiom,(![X: $i] : ((loop | (~always202(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty57')).
% 12.85/13.02 tff(17448,plain,
% 12.85/13.02 (![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 12.85/13.02 tff(17449,plain,
% 12.85/13.02 (![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17448, 17444])).
% 12.85/13.02 tff(17450,plain,(
% 12.85/13.02 ![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(skolemize,[status(sab)],[17449])).
% 12.85/13.02 tff(17451,plain,
% 12.85/13.02 (![X: $i] : (loop | (~last(X)) | (~always202(X)))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17450, 17443])).
% 12.85/13.02 tff(17452,plain,
% 12.85/13.02 (((~![X: $i] : (loop | (~last(X)) | (~always202(X)))) | (loop | (~last(s9)) | (~always202(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always202(X)))) | loop | (~last(s9)) | (~always202(s9)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17453,plain,
% 12.85/13.02 ((~![X: $i] : (loop | (~last(X)) | (~always202(X)))) | (loop | (~last(s9)) | (~always202(s9)))),
% 12.85/13.02 inference(quant_inst,[status(thm)],[])).
% 12.85/13.02 tff(17454,plain,
% 12.85/13.02 ((~![X: $i] : (loop | (~last(X)) | (~always202(X)))) | loop | (~last(s9)) | (~always202(s9))),
% 12.85/13.02 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 12.85/13.02 tff(17455,plain,
% 12.85/13.02 (loop | (~always202(s9))),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17454, 15950, 17451])).
% 12.85/13.02 tff(17456,plain,
% 12.85/13.02 (~always202(s9)),
% 12.85/13.02 inference(unit_resolution,[status(thm)],[17455, 15937])).
% 12.85/13.02 tff(17457,plain,
% 12.85/13.02 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always202(Y) | (~always202(X))) <=> ((~trans(X, Y)) | always202(Y) | (~always202(X))))),
% 12.85/13.02 inference(bind,[status(th)],[])).
% 12.85/13.02 tff(17458,plain,
% 12.85/13.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.02 inference(quant_intro,[status(thm)],[17457])).
% 12.85/13.02 tff(17459,plain,
% 12.85/13.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.02 inference(rewrite,[status(thm)],[])).
% 12.85/13.02 tff(17460,plain,
% 12.85/13.02 (^[Y: $i, X: $i] : rewrite(((always202(Y) | (~trans(X, Y))) | (~always202(X))) <=> ((~trans(X, Y)) | always202(Y) | (~always202(X))))),
% 12.85/13.02 inference(bind,[status(th)],[])).
% 12.85/13.02 tff(17461,plain,
% 12.85/13.02 (![Y: $i, X: $i] : ((always202(Y) | (~trans(X, Y))) | (~always202(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.02 inference(quant_intro,[status(thm)],[17460])).
% 12.85/13.02 tff(17462,axiom,(![Y: $i, X: $i] : ((always202(Y) | (~trans(X, Y))) | (~always202(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty56')).
% 12.85/13.03 tff(17463,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 12.85/13.03 tff(17464,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17463, 17459])).
% 12.85/13.03 tff(17465,plain,(
% 12.85/13.03 ![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17464])).
% 12.85/13.03 tff(17466,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17465, 17458])).
% 12.85/13.03 tff(17467,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (always202(s9) | (~trans(s8, s9)) | (~always202(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | always202(s9) | (~trans(s8, s9)) | (~always202(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17468,plain,
% 12.85/13.03 (((~trans(s8, s9)) | always202(s9) | (~always202(s8))) <=> (always202(s9) | (~trans(s8, s9)) | (~always202(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17469,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s8, s9)) | always202(s9) | (~always202(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (always202(s9) | (~trans(s8, s9)) | (~always202(s8))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17468])).
% 12.85/13.03 tff(17470,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s8, s9)) | always202(s9) | (~always202(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | always202(s9) | (~trans(s8, s9)) | (~always202(s8)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17469, 17467])).
% 12.85/13.03 tff(17471,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s8, s9)) | always202(s9) | (~always202(s8)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17472,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | always202(s9) | (~trans(s8, s9)) | (~always202(s8))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 12.85/13.03 tff(17473,plain,
% 12.85/13.03 (always202(s9) | (~always202(s8))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17472, 17466, 5508])).
% 12.85/13.03 tff(17474,plain,
% 12.85/13.03 (~always202(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17473, 17456])).
% 12.85/13.03 tff(17475,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s7, s8)) | always202(s8) | (~always202(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s7, s8)) | always202(s8) | (~always202(s7)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17476,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s7, s8)) | always202(s8) | (~always202(s7)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17477,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s7, s8)) | always202(s8) | (~always202(s7))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17476, 17475])).
% 12.85/13.03 tff(17478,plain,
% 12.85/13.03 (always202(s8) | (~always202(s7))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17477, 17466, 5304])).
% 12.85/13.03 tff(17479,plain,
% 12.85/13.03 (~always202(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17478, 17474])).
% 12.85/13.03 tff(17480,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s6, s7)) | always202(s7) | (~always202(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s6, s7)) | always202(s7) | (~always202(s6)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17481,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s6, s7)) | always202(s7) | (~always202(s6)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17482,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s6, s7)) | always202(s7) | (~always202(s6))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17481, 17480])).
% 12.85/13.03 tff(17483,plain,
% 12.85/13.03 (always202(s7) | (~always202(s6))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17482, 17466, 5162])).
% 12.85/13.03 tff(17484,plain,
% 12.85/13.03 (~always202(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17483, 17479])).
% 12.85/13.03 tff(17485,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s5, s6)) | always202(s6) | (~always202(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s5, s6)) | always202(s6) | (~always202(s5)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17486,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s5, s6)) | always202(s6) | (~always202(s5)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17487,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s5, s6)) | always202(s6) | (~always202(s5))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 12.85/13.03 tff(17488,plain,
% 12.85/13.03 (always202(s6) | (~always202(s5))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17487, 17466, 15])).
% 12.85/13.03 tff(17489,plain,
% 12.85/13.03 (~always202(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17488, 17484])).
% 12.85/13.03 tff(17490,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s4, s5)) | always202(s5) | (~always202(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s4, s5)) | always202(s5) | (~always202(s4)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17491,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s4, s5)) | always202(s5) | (~always202(s4)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17492,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s4, s5)) | always202(s5) | (~always202(s4))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 12.85/13.03 tff(17493,plain,
% 12.85/13.03 (always202(s5) | (~always202(s4))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17492, 17466, 4253])).
% 12.85/13.03 tff(17494,plain,
% 12.85/13.03 (~always202(s4)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17493, 17489])).
% 12.85/13.03 tff(17495,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s3, s4)) | always202(s4) | (~always202(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s3, s4)) | always202(s4) | (~always202(s3)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17496,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s3, s4)) | always202(s4) | (~always202(s3)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17497,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s3, s4)) | always202(s4) | (~always202(s3))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 12.85/13.03 tff(17498,plain,
% 12.85/13.03 (always202(s4) | (~always202(s3))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17497, 17466, 1179])).
% 12.85/13.03 tff(17499,plain,
% 12.85/13.03 (~always202(s3)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17498, 17494])).
% 12.85/13.03 tff(17500,plain,
% 12.85/13.03 (^[X: $i] : refl((always202(X) | (~node203(X))) <=> (always202(X) | (~node203(X))))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17501,plain,
% 12.85/13.03 (![X: $i] : (always202(X) | (~node203(X))) <=> ![X: $i] : (always202(X) | (~node203(X)))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17500])).
% 12.85/13.03 tff(17502,plain,
% 12.85/13.03 (![X: $i] : (always202(X) | (~node203(X))) <=> ![X: $i] : (always202(X) | (~node203(X)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17503,axiom,(![X: $i] : (always202(X) | (~node203(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty60')).
% 12.85/13.03 tff(17504,plain,
% 12.85/13.03 (![X: $i] : (always202(X) | (~node203(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 12.85/13.03 tff(17505,plain,(
% 12.85/13.03 ![X: $i] : (always202(X) | (~node203(X)))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17504])).
% 12.85/13.03 tff(17506,plain,
% 12.85/13.03 (![X: $i] : (always202(X) | (~node203(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17505, 17501])).
% 12.85/13.03 tff(17507,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s3) | (~node203(s3)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s3) | (~node203(s3)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17508,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s3) | (~node203(s3)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17509,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s3) | (~node203(s3))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 12.85/13.03 tff(17510,plain,
% 12.85/13.03 (~node203(s3)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17509, 17506, 17499])).
% 12.85/13.03 tff(17511,plain,
% 12.85/13.03 (^[X: $i] : refl((node203(X) | until241(X) | (~node245(X))) <=> (node203(X) | until241(X) | (~node245(X))))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17512,plain,
% 12.85/13.03 (![X: $i] : (node203(X) | until241(X) | (~node245(X))) <=> ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17511])).
% 12.85/13.03 tff(17513,plain,
% 12.85/13.03 (![X: $i] : (node203(X) | until241(X) | (~node245(X))) <=> ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17514,plain,
% 12.85/13.03 (^[X: $i] : rewrite(((node203(X) | until241(X)) | (~node245(X))) <=> (node203(X) | until241(X) | (~node245(X))))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17515,plain,
% 12.85/13.03 (![X: $i] : ((node203(X) | until241(X)) | (~node245(X))) <=> ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17514])).
% 12.85/13.03 tff(17516,axiom,(![X: $i] : ((node203(X) | until241(X)) | (~node245(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty151')).
% 12.85/13.03 tff(17517,plain,
% 12.85/13.03 (![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 12.85/13.03 tff(17518,plain,
% 12.85/13.03 (![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17517, 17513])).
% 12.85/13.03 tff(17519,plain,(
% 12.85/13.03 ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17518])).
% 12.85/13.03 tff(17520,plain,
% 12.85/13.03 (![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17519, 17512])).
% 12.85/13.03 tff(17521,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s3) | until241(s3) | (~node245(s3)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s3) | until241(s3) | (~node245(s3)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17522,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s3) | until241(s3) | (~node245(s3)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17523,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s3) | until241(s3) | (~node245(s3))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 12.85/13.03 tff(17524,plain,
% 12.85/13.03 (until241(s3) | (~node245(s3))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17523, 17520, 17510])).
% 12.85/13.03 tff(17525,plain,
% 12.85/13.03 (~node245(s3)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17524, 17441])).
% 12.85/13.03 tff(17526,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s4) | (~node203(s4)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s4) | (~node203(s4)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17527,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s4) | (~node203(s4)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17528,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s4) | (~node203(s4))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 12.85/13.03 tff(17529,plain,
% 12.85/13.03 (~node203(s4)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17528, 17506, 17494])).
% 12.85/13.03 tff(17530,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s4) | until241(s4) | (~node245(s4)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s4) | until241(s4) | (~node245(s4)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17531,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s4) | until241(s4) | (~node245(s4)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17532,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s4) | until241(s4) | (~node245(s4))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 12.85/13.03 tff(17533,plain,
% 12.85/13.03 (until241(s4) | (~node245(s4))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17532, 17520, 17529])).
% 12.85/13.03 tff(17534,plain,
% 12.85/13.03 (~node245(s4)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17533, 17284])).
% 12.85/13.03 tff(17535,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s5) | (~node203(s5)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s5) | (~node203(s5)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17536,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s5) | (~node203(s5)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17537,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s5) | (~node203(s5))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 12.85/13.03 tff(17538,plain,
% 12.85/13.03 (~node203(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17537, 17506, 17489])).
% 12.85/13.03 tff(17539,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s5) | until241(s5) | (~node245(s5)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s5) | until241(s5) | (~node245(s5)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17540,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s5) | until241(s5) | (~node245(s5)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17541,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s5) | until241(s5) | (~node245(s5))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 12.85/13.03 tff(17542,plain,
% 12.85/13.03 (until241(s5) | (~node245(s5))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17541, 17520, 17538])).
% 12.85/13.03 tff(17543,plain,
% 12.85/13.03 (~node245(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17542, 17272])).
% 12.85/13.03 tff(17544,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s6) | (~node203(s6)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s6) | (~node203(s6)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17545,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s6) | (~node203(s6)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17546,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s6) | (~node203(s6))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 12.85/13.03 tff(17547,plain,
% 12.85/13.03 (~node203(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17546, 17506, 17484])).
% 12.85/13.03 tff(17548,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s6) | until241(s6) | (~node245(s6)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s6) | until241(s6) | (~node245(s6)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17549,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s6) | until241(s6) | (~node245(s6)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17550,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s6) | until241(s6) | (~node245(s6))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 12.85/13.03 tff(17551,plain,
% 12.85/13.03 (until241(s6) | (~node245(s6))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17550, 17520, 17547])).
% 12.85/13.03 tff(17552,plain,
% 12.85/13.03 (~node245(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17551, 17259])).
% 12.85/13.03 tff(17553,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s7) | (~node203(s7)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s7) | (~node203(s7)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17554,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s7) | (~node203(s7)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17555,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s7) | (~node203(s7))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 12.85/13.03 tff(17556,plain,
% 12.85/13.03 (~node203(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17555, 17506, 17479])).
% 12.85/13.03 tff(17557,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s7) | until241(s7) | (~node245(s7)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s7) | until241(s7) | (~node245(s7)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17558,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s7) | until241(s7) | (~node245(s7)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17559,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s7) | until241(s7) | (~node245(s7))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 12.85/13.03 tff(17560,plain,
% 12.85/13.03 (until241(s7) | (~node245(s7))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17559, 17520, 17556])).
% 12.85/13.03 tff(17561,plain,
% 12.85/13.03 (~node245(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17560, 17246])).
% 12.85/13.03 tff(17562,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s8) | (~node203(s8)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s8) | (~node203(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17563,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s8) | (~node203(s8)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17564,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s8) | (~node203(s8))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 12.85/13.03 tff(17565,plain,
% 12.85/13.03 (~node203(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17564, 17506, 17474])).
% 12.85/13.03 tff(17566,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s8) | until241(s8) | (~node245(s8)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s8) | until241(s8) | (~node245(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17567,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s8) | until241(s8) | (~node245(s8)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17568,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s8) | until241(s8) | (~node245(s8))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 12.85/13.03 tff(17569,plain,
% 12.85/13.03 (until241(s8) | (~node245(s8))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17568, 17520, 17565])).
% 12.85/13.03 tff(17570,plain,
% 12.85/13.03 (~node245(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17569, 17233])).
% 12.85/13.03 tff(17571,plain,
% 12.85/13.03 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s9) | (~node203(s9)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s9) | (~node203(s9)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17572,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s9) | (~node203(s9)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17573,plain,
% 12.85/13.03 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s9) | (~node203(s9))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17572, 17571])).
% 12.85/13.03 tff(17574,plain,
% 12.85/13.03 (~node203(s9)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17573, 17506, 17456])).
% 12.85/13.03 tff(17575,plain,
% 12.85/13.03 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s9) | until241(s9) | (~node245(s9)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s9) | until241(s9) | (~node245(s9)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17576,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s9) | until241(s9) | (~node245(s9)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17577,plain,
% 12.85/13.03 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s9) | until241(s9) | (~node245(s9))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17576, 17575])).
% 12.85/13.03 tff(17578,plain,
% 12.85/13.03 (until241(s9) | (~node245(s9))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17577, 17520, 17574])).
% 12.85/13.03 tff(17579,plain,
% 12.85/13.03 (~node245(s9)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17578, 17210])).
% 12.85/13.03 tff(17580,plain,
% 12.85/13.03 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil247(X))) <=> (loop | (~last(X)) | (~xuntil247(X))))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17581,plain,
% 12.85/13.03 (![X: $i] : (loop | (~last(X)) | (~xuntil247(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17580])).
% 12.85/13.03 tff(17582,plain,
% 12.85/13.03 (![X: $i] : (loop | (~last(X)) | (~xuntil247(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17583,plain,
% 12.85/13.03 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil247(X))) <=> (loop | (~last(X)) | (~xuntil247(X))))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17584,plain,
% 12.85/13.03 (![X: $i] : ((loop | (~last(X))) | (~xuntil247(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17583])).
% 12.85/13.03 tff(17585,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil247(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty154')).
% 12.85/13.03 tff(17586,plain,
% 12.85/13.03 (![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 12.85/13.03 tff(17587,plain,
% 12.85/13.03 (![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17586, 17582])).
% 12.85/13.03 tff(17588,plain,(
% 12.85/13.03 ![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17587])).
% 12.85/13.03 tff(17589,plain,
% 12.85/13.03 (![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17588, 17581])).
% 12.85/13.03 tff(17590,plain,
% 12.85/13.03 (((~![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))) | (loop | (~last(s9)) | (~xuntil247(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))) | loop | (~last(s9)) | (~xuntil247(s9)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17591,plain,
% 12.85/13.03 ((~![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))) | (loop | (~last(s9)) | (~xuntil247(s9)))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17592,plain,
% 12.85/13.03 ((~![X: $i] : (loop | (~last(X)) | (~xuntil247(X)))) | loop | (~last(s9)) | (~xuntil247(s9))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 12.85/13.03 tff(17593,plain,
% 12.85/13.03 (loop | (~xuntil247(s9))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17592, 15950, 17589])).
% 12.85/13.03 tff(17594,plain,
% 12.85/13.03 (~xuntil247(s9)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17593, 15937])).
% 12.85/13.03 tff(17595,plain,
% 12.85/13.03 (^[X: $i] : refl((node245(X) | (~until246(X)) | xuntil247(X)) <=> (node245(X) | (~until246(X)) | xuntil247(X)))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17596,plain,
% 12.85/13.03 (![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X)) <=> ![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17595])).
% 12.85/13.03 tff(17597,plain,
% 12.85/13.03 (![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X)) <=> ![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17598,plain,
% 12.85/13.03 (^[X: $i] : rewrite(((node245(X) | xuntil247(X)) | (~until246(X))) <=> (node245(X) | (~until246(X)) | xuntil247(X)))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17599,plain,
% 12.85/13.03 (![X: $i] : ((node245(X) | xuntil247(X)) | (~until246(X))) <=> ![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17598])).
% 12.85/13.03 tff(17600,axiom,(![X: $i] : ((node245(X) | xuntil247(X)) | (~until246(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty152')).
% 12.85/13.03 tff(17601,plain,
% 12.85/13.03 (![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 12.85/13.03 tff(17602,plain,
% 12.85/13.03 (![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17601, 17597])).
% 12.85/13.03 tff(17603,plain,(
% 12.85/13.03 ![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17602])).
% 12.85/13.03 tff(17604,plain,
% 12.85/13.03 (![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17603, 17596])).
% 12.85/13.03 tff(17605,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s9) | node245(s9) | (~until246(s9)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s9) | node245(s9) | (~until246(s9)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17606,plain,
% 12.85/13.03 ((node245(s9) | (~until246(s9)) | xuntil247(s9)) <=> (xuntil247(s9) | node245(s9) | (~until246(s9)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17607,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s9) | (~until246(s9)) | xuntil247(s9))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s9) | node245(s9) | (~until246(s9))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17606])).
% 12.85/13.03 tff(17608,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s9) | (~until246(s9)) | xuntil247(s9))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s9) | node245(s9) | (~until246(s9)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17607, 17605])).
% 12.85/13.03 tff(17609,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s9) | (~until246(s9)) | xuntil247(s9))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17610,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s9) | node245(s9) | (~until246(s9))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17609, 17608])).
% 12.85/13.03 tff(17611,plain,
% 12.85/13.03 (node245(s9) | (~until246(s9))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17610, 17604, 17594])).
% 12.85/13.03 tff(17612,plain,
% 12.85/13.03 (~until246(s9)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17611, 17579])).
% 12.85/13.03 tff(17613,plain,
% 12.85/13.03 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil247(X)) | until246(Y)) <=> ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y)))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17614,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17613])).
% 12.85/13.03 tff(17615,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17616,plain,
% 12.85/13.03 (^[Y: $i, X: $i] : rewrite(((until246(Y) | (~succ(X, Y))) | (~xuntil247(X))) <=> ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y)))),
% 12.85/13.03 inference(bind,[status(th)],[])).
% 12.85/13.03 tff(17617,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((until246(Y) | (~succ(X, Y))) | (~xuntil247(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(quant_intro,[status(thm)],[17616])).
% 12.85/13.03 tff(17618,axiom,(![Y: $i, X: $i] : ((until246(Y) | (~succ(X, Y))) | (~xuntil247(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty153')).
% 12.85/13.03 tff(17619,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 12.85/13.03 tff(17620,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17619, 17615])).
% 12.85/13.03 tff(17621,plain,(
% 12.85/13.03 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(skolemize,[status(sab)],[17620])).
% 12.85/13.03 tff(17622,plain,
% 12.85/13.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17621, 17614])).
% 12.85/13.03 tff(17623,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s8, s9)) | (~xuntil247(s8)) | until246(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s8, s9)) | (~xuntil247(s8)) | until246(s9))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17624,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s8, s9)) | (~xuntil247(s8)) | until246(s9))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17625,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s8, s9)) | (~xuntil247(s8)) | until246(s9)),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 12.85/13.03 tff(17626,plain,
% 12.85/13.03 ((~xuntil247(s8)) | until246(s9)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17625, 5504, 17622])).
% 12.85/13.03 tff(17627,plain,
% 12.85/13.03 (~xuntil247(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17626, 17612])).
% 12.85/13.03 tff(17628,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s8) | node245(s8) | (~until246(s8)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17629,plain,
% 12.85/13.03 ((node245(s8) | (~until246(s8)) | xuntil247(s8)) <=> (xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17630,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s8) | node245(s8) | (~until246(s8))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17629])).
% 12.85/13.03 tff(17631,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17630, 17628])).
% 12.85/13.03 tff(17632,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17633,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 12.85/13.03 tff(17634,plain,
% 12.85/13.03 (node245(s8) | (~until246(s8))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17633, 17604, 17627])).
% 12.85/13.03 tff(17635,plain,
% 12.85/13.03 (~until246(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17634, 17570])).
% 12.85/13.03 tff(17636,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17637,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17638,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8)),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 12.85/13.03 tff(17639,plain,
% 12.85/13.03 ((~xuntil247(s7)) | until246(s8)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17638, 5300, 17622])).
% 12.85/13.03 tff(17640,plain,
% 12.85/13.03 (~xuntil247(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17639, 17635])).
% 12.85/13.03 tff(17641,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s7) | node245(s7) | (~until246(s7)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17642,plain,
% 12.85/13.03 ((node245(s7) | (~until246(s7)) | xuntil247(s7)) <=> (xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17643,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s7) | node245(s7) | (~until246(s7))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17642])).
% 12.85/13.03 tff(17644,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17643, 17641])).
% 12.85/13.03 tff(17645,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17646,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 12.85/13.03 tff(17647,plain,
% 12.85/13.03 (node245(s7) | (~until246(s7))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17646, 17604, 17640])).
% 12.85/13.03 tff(17648,plain,
% 12.85/13.03 (~until246(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17647, 17561])).
% 12.85/13.03 tff(17649,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17650,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17651,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7)),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17650, 17649])).
% 12.85/13.03 tff(17652,plain,
% 12.85/13.03 ((~xuntil247(s6)) | until246(s7)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17651, 5158, 17622])).
% 12.85/13.03 tff(17653,plain,
% 12.85/13.03 (~xuntil247(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17652, 17648])).
% 12.85/13.03 tff(17654,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s6) | node245(s6) | (~until246(s6)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17655,plain,
% 12.85/13.03 ((node245(s6) | (~until246(s6)) | xuntil247(s6)) <=> (xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17656,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s6) | node245(s6) | (~until246(s6))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17655])).
% 12.85/13.03 tff(17657,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17656, 17654])).
% 12.85/13.03 tff(17658,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17659,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17658, 17657])).
% 12.85/13.03 tff(17660,plain,
% 12.85/13.03 (node245(s6) | (~until246(s6))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17659, 17604, 17653])).
% 12.85/13.03 tff(17661,plain,
% 12.85/13.03 (~until246(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17660, 17552])).
% 12.85/13.03 tff(17662,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17663,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17664,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6)),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 12.85/13.03 tff(17665,plain,
% 12.85/13.03 ((~xuntil247(s5)) | until246(s6)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17664, 11, 17622])).
% 12.85/13.03 tff(17666,plain,
% 12.85/13.03 (~xuntil247(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17665, 17661])).
% 12.85/13.03 tff(17667,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s5) | node245(s5) | (~until246(s5)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17668,plain,
% 12.85/13.03 ((node245(s5) | (~until246(s5)) | xuntil247(s5)) <=> (xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17669,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s5) | node245(s5) | (~until246(s5))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17668])).
% 12.85/13.03 tff(17670,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17669, 17667])).
% 12.85/13.03 tff(17671,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17672,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17671, 17670])).
% 12.85/13.03 tff(17673,plain,
% 12.85/13.03 (node245(s5) | (~until246(s5))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17672, 17604, 17666])).
% 12.85/13.03 tff(17674,plain,
% 12.85/13.03 (~until246(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17673, 17543])).
% 12.85/13.03 tff(17675,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17676,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17677,plain,
% 12.85/13.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5)),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17676, 17675])).
% 12.85/13.03 tff(17678,plain,
% 12.85/13.03 ((~xuntil247(s4)) | until246(s5)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17677, 4249, 17622])).
% 12.85/13.03 tff(17679,plain,
% 12.85/13.03 (~xuntil247(s4)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17678, 17674])).
% 12.85/13.03 tff(17680,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s4) | node245(s4) | (~until246(s4)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17681,plain,
% 12.85/13.03 ((node245(s4) | (~until246(s4)) | xuntil247(s4)) <=> (xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.85/13.03 inference(rewrite,[status(thm)],[])).
% 12.85/13.03 tff(17682,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s4) | node245(s4) | (~until246(s4))))),
% 12.85/13.03 inference(monotonicity,[status(thm)],[17681])).
% 12.85/13.03 tff(17683,plain,
% 12.85/13.03 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.85/13.03 inference(transitivity,[status(thm)],[17682, 17680])).
% 12.85/13.03 tff(17684,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))),
% 12.85/13.03 inference(quant_inst,[status(thm)],[])).
% 12.85/13.03 tff(17685,plain,
% 12.85/13.03 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4))),
% 12.85/13.03 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 12.85/13.03 tff(17686,plain,
% 12.85/13.03 (node245(s4) | (~until246(s4))),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17685, 17604, 17679])).
% 12.85/13.03 tff(17687,plain,
% 12.85/13.03 (~until246(s4)),
% 12.85/13.03 inference(unit_resolution,[status(thm)],[17686, 17534])).
% 12.85/13.03 tff(17688,plain,
% 12.85/13.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17689,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17690,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17689, 17688])).
% 12.85/13.04 tff(17691,plain,
% 12.85/13.04 ((~xuntil247(s3)) | until246(s4)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17690, 1175, 17622])).
% 12.85/13.04 tff(17692,plain,
% 12.85/13.04 (~xuntil247(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17691, 17687])).
% 12.85/13.04 tff(17693,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s3) | node245(s3) | (~until246(s3)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17694,plain,
% 12.85/13.04 ((node245(s3) | (~until246(s3)) | xuntil247(s3)) <=> (xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17695,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s3) | node245(s3) | (~until246(s3))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17694])).
% 12.85/13.04 tff(17696,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17695, 17693])).
% 12.85/13.04 tff(17697,plain,
% 12.85/13.04 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17698,plain,
% 12.85/13.04 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 12.85/13.04 tff(17699,plain,
% 12.85/13.04 (~until246(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17698, 17604, 17692, 17525])).
% 12.85/13.04 tff(17700,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17701,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17702,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 12.85/13.04 tff(17703,plain,
% 12.85/13.04 ((~xuntil247(s2)) | until246(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17702, 790, 17622])).
% 12.85/13.04 tff(17704,plain,
% 12.85/13.04 (~xuntil247(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17703, 17699])).
% 12.85/13.04 tff(17705,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17706,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17707,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 12.85/13.04 tff(17708,plain,
% 12.85/13.04 ((~xuntil242(s2)) | until241(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17707, 790, 17220])).
% 12.85/13.04 tff(17709,plain,
% 12.85/13.04 (~xuntil242(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17708, 17441])).
% 12.85/13.04 tff(17710,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17711,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17712,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17711, 17710])).
% 12.85/13.04 tff(17713,plain,
% 12.85/13.04 ((~xuntil237(s2)) | until236(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17712, 790, 16872])).
% 12.85/13.04 tff(17714,plain,
% 12.85/13.04 (~xuntil237(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17713, 17419])).
% 12.85/13.04 tff(17715,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17716,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17717,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 12.85/13.04 tff(17718,plain,
% 12.85/13.04 ((~xuntil232(s2)) | until231(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17717, 790, 16578])).
% 12.85/13.04 tff(17719,plain,
% 12.85/13.04 (~xuntil232(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17718, 17397])).
% 12.85/13.04 tff(17720,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17721,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17722,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 12.85/13.04 tff(17723,plain,
% 12.85/13.04 ((~xuntil227(s2)) | until226(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17722, 790, 16338])).
% 12.85/13.04 tff(17724,plain,
% 12.85/13.04 (~xuntil227(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17723, 17375])).
% 12.85/13.04 tff(17725,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17726,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17727,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17726, 17725])).
% 12.85/13.04 tff(17728,plain,
% 12.85/13.04 ((~xuntil222(s2)) | until221(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17727, 790, 16152])).
% 12.85/13.04 tff(17729,plain,
% 12.85/13.04 (~xuntil222(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17728, 17353])).
% 12.85/13.04 tff(17730,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17731,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17732,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 12.85/13.04 tff(17733,plain,
% 12.85/13.04 ((~xuntil217(s2)) | until216(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17732, 790, 16075])).
% 12.85/13.04 tff(17734,plain,
% 12.85/13.04 (~xuntil217(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17733, 17331])).
% 12.85/13.04 tff(17735,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s2, s3)) | (~always214(s2)) | always214(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s2, s3)) | (~always214(s2)) | always214(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17736,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s2, s3)) | (~always214(s2)) | always214(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17737,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s2, s3)) | (~always214(s2)) | always214(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 12.85/13.04 tff(17738,plain,
% 12.85/13.04 ((~always214(s2)) | always214(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17737, 16009, 794])).
% 12.85/13.04 tff(17739,plain,
% 12.85/13.04 (~always214(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17738, 17319])).
% 12.85/13.04 tff(17740,plain,
% 12.85/13.04 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s2) | (~node215(s2)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s2) | (~node215(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17741,plain,
% 12.85/13.04 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s2) | (~node215(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17742,plain,
% 12.85/13.04 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s2) | (~node215(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 12.85/13.04 tff(17743,plain,
% 12.85/13.04 (~node215(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17742, 16024, 17739])).
% 12.85/13.04 tff(17744,plain,
% 12.85/13.04 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s2) | node215(s2) | (~until216(s2)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17745,plain,
% 12.85/13.04 ((node215(s2) | (~until216(s2)) | xuntil217(s2)) <=> (xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17746,plain,
% 12.85/13.04 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s2) | node215(s2) | (~until216(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17745])).
% 12.85/13.04 tff(17747,plain,
% 12.85/13.04 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17746, 17744])).
% 12.85/13.04 tff(17748,plain,
% 12.85/13.04 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17749,plain,
% 12.85/13.04 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 12.85/13.04 tff(17750,plain,
% 12.85/13.04 (xuntil217(s2) | (~until216(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17749, 16057, 17743])).
% 12.85/13.04 tff(17751,plain,
% 12.85/13.04 (~until216(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17750, 17734])).
% 12.85/13.04 tff(17752,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s2, s3)) | always212(s3) | (~always212(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s2, s3)) | always212(s3) | (~always212(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17753,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s2, s3)) | always212(s3) | (~always212(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17754,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s2, s3)) | always212(s3) | (~always212(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 12.85/13.04 tff(17755,plain,
% 12.85/13.04 (always212(s3) | (~always212(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17754, 15965, 794])).
% 12.85/13.04 tff(17756,plain,
% 12.85/13.04 (~always212(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17755, 17336])).
% 12.85/13.04 tff(17757,plain,
% 12.85/13.04 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s2) | (~node213(s2)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s2) | (~node213(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17758,plain,
% 12.85/13.04 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s2) | (~node213(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17759,plain,
% 12.85/13.04 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s2) | (~node213(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 12.85/13.04 tff(17760,plain,
% 12.85/13.04 (~node213(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17759, 15980, 17756])).
% 12.85/13.04 tff(17761,plain,
% 12.85/13.04 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s2) | until216(s2) | (~node220(s2)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s2) | until216(s2) | (~node220(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17762,plain,
% 12.85/13.04 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s2) | until216(s2) | (~node220(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17763,plain,
% 12.85/13.04 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s2) | until216(s2) | (~node220(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17762, 17761])).
% 12.85/13.04 tff(17764,plain,
% 12.85/13.04 (until216(s2) | (~node220(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17763, 16097, 17760])).
% 12.85/13.04 tff(17765,plain,
% 12.85/13.04 (~node220(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17764, 17751])).
% 12.85/13.04 tff(17766,plain,
% 12.85/13.04 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s2) | node220(s2) | (~until221(s2)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17767,plain,
% 12.85/13.04 ((node220(s2) | (~until221(s2)) | xuntil222(s2)) <=> (xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17768,plain,
% 12.85/13.04 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s2) | (~until221(s2)) | xuntil222(s2))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s2) | node220(s2) | (~until221(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17767])).
% 12.85/13.04 tff(17769,plain,
% 12.85/13.04 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s2) | (~until221(s2)) | xuntil222(s2))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17768, 17766])).
% 12.85/13.04 tff(17770,plain,
% 12.85/13.04 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s2) | (~until221(s2)) | xuntil222(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17771,plain,
% 12.85/13.04 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 12.85/13.04 tff(17772,plain,
% 12.85/13.04 (xuntil222(s2) | (~until221(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17771, 16134, 17765])).
% 12.85/13.04 tff(17773,plain,
% 12.85/13.04 (~until221(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17772, 17729])).
% 12.85/13.04 tff(17774,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s2, s3)) | always210(s3) | (~always210(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s2, s3)) | always210(s3) | (~always210(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17775,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s2, s3)) | always210(s3) | (~always210(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17776,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s2, s3)) | always210(s3) | (~always210(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 12.85/13.04 tff(17777,plain,
% 12.85/13.04 (always210(s3) | (~always210(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17776, 16238, 794])).
% 12.85/13.04 tff(17778,plain,
% 12.85/13.04 (~always210(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17777, 17358])).
% 12.85/13.04 tff(17779,plain,
% 12.85/13.04 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s2) | (~node211(s2)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s2) | (~node211(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17780,plain,
% 12.85/13.04 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s2) | (~node211(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17781,plain,
% 12.85/13.04 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s2) | (~node211(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 12.85/13.04 tff(17782,plain,
% 12.85/13.04 (~node211(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17781, 16258, 17778])).
% 12.85/13.04 tff(17783,plain,
% 12.85/13.04 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s2) | until221(s2) | (~node225(s2)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s2) | until221(s2) | (~node225(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17784,plain,
% 12.85/13.04 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s2) | until221(s2) | (~node225(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17785,plain,
% 12.85/13.04 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s2) | until221(s2) | (~node225(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 12.85/13.04 tff(17786,plain,
% 12.85/13.04 (until221(s2) | (~node225(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17785, 16272, 17782])).
% 12.85/13.04 tff(17787,plain,
% 12.85/13.04 (~node225(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17786, 17773])).
% 12.85/13.04 tff(17788,plain,
% 12.85/13.04 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s2) | node225(s2) | (~until226(s2)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17789,plain,
% 12.85/13.04 ((node225(s2) | (~until226(s2)) | xuntil227(s2)) <=> (xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17790,plain,
% 12.85/13.04 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s2) | (~until226(s2)) | xuntil227(s2))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s2) | node225(s2) | (~until226(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17789])).
% 12.85/13.04 tff(17791,plain,
% 12.85/13.04 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s2) | (~until226(s2)) | xuntil227(s2))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17790, 17788])).
% 12.85/13.04 tff(17792,plain,
% 12.85/13.04 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s2) | (~until226(s2)) | xuntil227(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17793,plain,
% 12.85/13.04 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17792, 17791])).
% 12.85/13.04 tff(17794,plain,
% 12.85/13.04 (xuntil227(s2) | (~until226(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17793, 16320, 17787])).
% 12.85/13.04 tff(17795,plain,
% 12.85/13.04 (~until226(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17794, 17724])).
% 12.85/13.04 tff(17796,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s2, s3)) | (~always208(s2)) | always208(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s2, s3)) | (~always208(s2)) | always208(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17797,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s2, s3)) | (~always208(s2)) | always208(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17798,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s2, s3)) | (~always208(s2)) | always208(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17797, 17796])).
% 12.85/13.04 tff(17799,plain,
% 12.85/13.04 ((~always208(s2)) | always208(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17798, 16464, 794])).
% 12.85/13.04 tff(17800,plain,
% 12.85/13.04 (~always208(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17799, 17380])).
% 12.85/13.04 tff(17801,plain,
% 12.85/13.04 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s2) | (~node209(s2)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s2) | (~node209(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17802,plain,
% 12.85/13.04 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s2) | (~node209(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17803,plain,
% 12.85/13.04 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s2) | (~node209(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 12.85/13.04 tff(17804,plain,
% 12.85/13.04 (~node209(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17803, 16489, 17800])).
% 12.85/13.04 tff(17805,plain,
% 12.85/13.04 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s2) | until226(s2) | (~node230(s2)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s2) | until226(s2) | (~node230(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17806,plain,
% 12.85/13.04 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s2) | until226(s2) | (~node230(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17807,plain,
% 12.85/13.04 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s2) | until226(s2) | (~node230(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 12.85/13.04 tff(17808,plain,
% 12.85/13.04 (until226(s2) | (~node230(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17807, 16503, 17804])).
% 12.85/13.04 tff(17809,plain,
% 12.85/13.04 (~node230(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17808, 17795])).
% 12.85/13.04 tff(17810,plain,
% 12.85/13.04 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s2) | node230(s2) | (~until231(s2)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s2) | node230(s2) | (~until231(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17811,plain,
% 12.85/13.04 ((node230(s2) | (~until231(s2)) | xuntil232(s2)) <=> (xuntil232(s2) | node230(s2) | (~until231(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17812,plain,
% 12.85/13.04 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s2) | (~until231(s2)) | xuntil232(s2))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s2) | node230(s2) | (~until231(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17811])).
% 12.85/13.04 tff(17813,plain,
% 12.85/13.04 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s2) | (~until231(s2)) | xuntil232(s2))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s2) | node230(s2) | (~until231(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17812, 17810])).
% 12.85/13.04 tff(17814,plain,
% 12.85/13.04 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s2) | (~until231(s2)) | xuntil232(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17815,plain,
% 12.85/13.04 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s2) | node230(s2) | (~until231(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 12.85/13.04 tff(17816,plain,
% 12.85/13.04 (xuntil232(s2) | (~until231(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17815, 16560, 17809])).
% 12.85/13.04 tff(17817,plain,
% 12.85/13.04 (~until231(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17816, 17719])).
% 12.85/13.04 tff(17818,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s2, s3)) | (~always206(s2)) | always206(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s2, s3)) | (~always206(s2)) | always206(s3))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17819,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s2, s3)) | (~always206(s2)) | always206(s3))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17820,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s2, s3)) | (~always206(s2)) | always206(s3)),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 12.85/13.04 tff(17821,plain,
% 12.85/13.04 ((~always206(s2)) | always206(s3)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17820, 16744, 794])).
% 12.85/13.04 tff(17822,plain,
% 12.85/13.04 (~always206(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17821, 17402])).
% 12.85/13.04 tff(17823,plain,
% 12.85/13.04 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s2) | (~node207(s2)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s2) | (~node207(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17824,plain,
% 12.85/13.04 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s2) | (~node207(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17825,plain,
% 12.85/13.04 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s2) | (~node207(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17824, 17823])).
% 12.85/13.04 tff(17826,plain,
% 12.85/13.04 (~node207(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17825, 16774, 17822])).
% 12.85/13.04 tff(17827,plain,
% 12.85/13.04 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s2) | until231(s2) | (~node235(s2)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s2) | until231(s2) | (~node235(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17828,plain,
% 12.85/13.04 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s2) | until231(s2) | (~node235(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17829,plain,
% 12.85/13.04 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s2) | until231(s2) | (~node235(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 12.85/13.04 tff(17830,plain,
% 12.85/13.04 (until231(s2) | (~node235(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17829, 16788, 17826])).
% 12.85/13.04 tff(17831,plain,
% 12.85/13.04 (~node235(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17830, 17817])).
% 12.85/13.04 tff(17832,plain,
% 12.85/13.04 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s2) | node235(s2) | (~until236(s2)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s2) | node235(s2) | (~until236(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17833,plain,
% 12.85/13.04 ((node235(s2) | (~until236(s2)) | xuntil237(s2)) <=> (xuntil237(s2) | node235(s2) | (~until236(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17834,plain,
% 12.85/13.04 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s2) | (~until236(s2)) | xuntil237(s2))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s2) | node235(s2) | (~until236(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17833])).
% 12.85/13.04 tff(17835,plain,
% 12.85/13.04 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s2) | (~until236(s2)) | xuntil237(s2))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s2) | node235(s2) | (~until236(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17834, 17832])).
% 12.85/13.04 tff(17836,plain,
% 12.85/13.04 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s2) | (~until236(s2)) | xuntil237(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17837,plain,
% 12.85/13.04 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s2) | node235(s2) | (~until236(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 12.85/13.04 tff(17838,plain,
% 12.85/13.04 (xuntil237(s2) | (~until236(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17837, 16854, 17831])).
% 12.85/13.04 tff(17839,plain,
% 12.85/13.04 (~until236(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17838, 17714])).
% 12.85/13.04 tff(17840,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s2, s3)) | always204(s3) | (~always204(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s2, s3)) | always204(s3) | (~always204(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17841,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s2, s3)) | always204(s3) | (~always204(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17842,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s2, s3)) | always204(s3) | (~always204(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17841, 17840])).
% 12.85/13.04 tff(17843,plain,
% 12.85/13.04 (always204(s3) | (~always204(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17842, 17078, 794])).
% 12.85/13.04 tff(17844,plain,
% 12.85/13.04 (~always204(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17843, 17424])).
% 12.85/13.04 tff(17845,plain,
% 12.85/13.04 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s2) | (~node205(s2)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s2) | (~node205(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17846,plain,
% 12.85/13.04 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s2) | (~node205(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17847,plain,
% 12.85/13.04 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s2) | (~node205(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17846, 17845])).
% 12.85/13.04 tff(17848,plain,
% 12.85/13.04 (~node205(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17847, 17113, 17844])).
% 12.85/13.04 tff(17849,plain,
% 12.85/13.04 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s2) | until236(s2) | (~node240(s2)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s2) | until236(s2) | (~node240(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17850,plain,
% 12.85/13.04 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s2) | until236(s2) | (~node240(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17851,plain,
% 12.85/13.04 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s2) | until236(s2) | (~node240(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17850, 17849])).
% 12.85/13.04 tff(17852,plain,
% 12.85/13.04 (until236(s2) | (~node240(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17851, 17127, 17848])).
% 12.85/13.04 tff(17853,plain,
% 12.85/13.04 (~node240(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17852, 17839])).
% 12.85/13.04 tff(17854,plain,
% 12.85/13.04 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s2) | node240(s2) | (~until241(s2)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17855,plain,
% 12.85/13.04 ((node240(s2) | (~until241(s2)) | xuntil242(s2)) <=> (xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17856,plain,
% 12.85/13.04 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s2) | node240(s2) | (~until241(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17855])).
% 12.85/13.04 tff(17857,plain,
% 12.85/13.04 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17856, 17854])).
% 12.85/13.04 tff(17858,plain,
% 12.85/13.04 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17859,plain,
% 12.85/13.04 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 12.85/13.04 tff(17860,plain,
% 12.85/13.04 (xuntil242(s2) | (~until241(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17859, 17202, 17853])).
% 12.85/13.04 tff(17861,plain,
% 12.85/13.04 (~until241(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17860, 17709])).
% 12.85/13.04 tff(17862,plain,
% 12.85/13.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s2, s3)) | always202(s3) | (~always202(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s2, s3)) | always202(s3) | (~always202(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17863,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s2, s3)) | always202(s3) | (~always202(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17864,plain,
% 12.85/13.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s2, s3)) | always202(s3) | (~always202(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 12.85/13.04 tff(17865,plain,
% 12.85/13.04 (always202(s3) | (~always202(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17864, 17466, 794])).
% 12.85/13.04 tff(17866,plain,
% 12.85/13.04 (~always202(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17865, 17499])).
% 12.85/13.04 tff(17867,plain,
% 12.85/13.04 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s2) | (~node203(s2)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s2) | (~node203(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17868,plain,
% 12.85/13.04 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s2) | (~node203(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17869,plain,
% 12.85/13.04 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s2) | (~node203(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 12.85/13.04 tff(17870,plain,
% 12.85/13.04 (~node203(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17869, 17506, 17866])).
% 12.85/13.04 tff(17871,plain,
% 12.85/13.04 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s2) | until241(s2) | (~node245(s2)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s2) | until241(s2) | (~node245(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17872,plain,
% 12.85/13.04 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s2) | until241(s2) | (~node245(s2)))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17873,plain,
% 12.85/13.04 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s2) | until241(s2) | (~node245(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 12.85/13.04 tff(17874,plain,
% 12.85/13.04 (until241(s2) | (~node245(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17873, 17520, 17870])).
% 12.85/13.04 tff(17875,plain,
% 12.85/13.04 (~node245(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17874, 17861])).
% 12.85/13.04 tff(17876,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s2) | node245(s2) | (~until246(s2)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17877,plain,
% 12.85/13.04 ((node245(s2) | (~until246(s2)) | xuntil247(s2)) <=> (xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.85/13.04 inference(rewrite,[status(thm)],[])).
% 12.85/13.04 tff(17878,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s2) | node245(s2) | (~until246(s2))))),
% 12.85/13.04 inference(monotonicity,[status(thm)],[17877])).
% 12.85/13.04 tff(17879,plain,
% 12.85/13.04 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.85/13.04 inference(transitivity,[status(thm)],[17878, 17876])).
% 12.85/13.04 tff(17880,plain,
% 12.85/13.04 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))),
% 12.85/13.04 inference(quant_inst,[status(thm)],[])).
% 12.85/13.04 tff(17881,plain,
% 12.85/13.04 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2))),
% 12.85/13.04 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 12.85/13.04 tff(17882,plain,
% 12.85/13.04 (xuntil247(s2) | (~until246(s2))),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17881, 17604, 17875])).
% 12.85/13.04 tff(17883,plain,
% 12.85/13.04 (~until246(s2)),
% 12.85/13.04 inference(unit_resolution,[status(thm)],[17882, 17704])).
% 12.85/13.05 tff(17884,plain,
% 12.85/13.05 (^[X: $i] : refl((loop | (~last(X)) | (~always200(X))) <=> (loop | (~last(X)) | (~always200(X))))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17885,plain,
% 12.85/13.05 (![X: $i] : (loop | (~last(X)) | (~always200(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17884])).
% 12.85/13.05 tff(17886,plain,
% 12.85/13.05 (![X: $i] : (loop | (~last(X)) | (~always200(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17887,plain,
% 12.85/13.05 (^[X: $i] : rewrite(((loop | (~always200(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always200(X))))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17888,plain,
% 12.85/13.05 (![X: $i] : ((loop | (~always200(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17887])).
% 12.85/13.05 tff(17889,axiom,(![X: $i] : ((loop | (~always200(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty51')).
% 12.85/13.05 tff(17890,plain,
% 12.85/13.05 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 12.85/13.05 tff(17891,plain,
% 12.85/13.05 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17890, 17886])).
% 12.85/13.05 tff(17892,plain,(
% 12.85/13.05 ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(skolemize,[status(sab)],[17891])).
% 12.85/13.05 tff(17893,plain,
% 12.85/13.05 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17892, 17885])).
% 12.85/13.05 tff(17894,plain,
% 12.85/13.05 (((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | (loop | (~last(s9)) | (~always200(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | loop | (~last(s9)) | (~always200(s9)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17895,plain,
% 12.85/13.05 ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | (loop | (~last(s9)) | (~always200(s9)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17896,plain,
% 12.85/13.05 ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | loop | (~last(s9)) | (~always200(s9))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 12.85/13.05 tff(17897,plain,
% 12.85/13.05 (loop | (~always200(s9))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17896, 15950, 17893])).
% 12.85/13.05 tff(17898,plain,
% 12.85/13.05 (~always200(s9)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17897, 15937])).
% 12.85/13.05 tff(17899,plain,
% 12.85/13.05 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ((~trans(X, Y)) | (~always200(X)) | always200(Y)))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17900,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17899])).
% 12.85/13.05 tff(17901,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17902,plain,
% 12.85/13.05 (^[Y: $i, X: $i] : rewrite(((always200(Y) | (~trans(X, Y))) | (~always200(X))) <=> ((~trans(X, Y)) | (~always200(X)) | always200(Y)))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17903,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((always200(Y) | (~trans(X, Y))) | (~always200(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17902])).
% 12.85/13.05 tff(17904,axiom,(![Y: $i, X: $i] : ((always200(Y) | (~trans(X, Y))) | (~always200(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty50')).
% 12.85/13.05 tff(17905,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17904, 17903])).
% 12.85/13.05 tff(17906,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17905, 17901])).
% 12.85/13.05 tff(17907,plain,(
% 12.85/13.05 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(skolemize,[status(sab)],[17906])).
% 12.85/13.05 tff(17908,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17907, 17900])).
% 12.85/13.05 tff(17909,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (always200(s9) | (~trans(s8, s9)) | (~always200(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17910,plain,
% 12.85/13.05 (((~trans(s8, s9)) | (~always200(s8)) | always200(s9)) <=> (always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17911,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (always200(s9) | (~trans(s8, s9)) | (~always200(s8))))),
% 12.85/13.05 inference(monotonicity,[status(thm)],[17910])).
% 12.85/13.05 tff(17912,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.85/13.05 inference(transitivity,[status(thm)],[17911, 17909])).
% 12.85/13.05 tff(17913,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17914,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 12.85/13.05 tff(17915,plain,
% 12.85/13.05 (always200(s9) | (~always200(s8))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17914, 17908, 5508])).
% 12.85/13.05 tff(17916,plain,
% 12.85/13.05 (~always200(s8)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17915, 17898])).
% 12.85/13.05 tff(17917,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s7, s8)) | (~always200(s7)) | always200(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s7, s8)) | (~always200(s7)) | always200(s8))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17918,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s7, s8)) | (~always200(s7)) | always200(s8))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17919,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s7, s8)) | (~always200(s7)) | always200(s8)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17918, 17917])).
% 12.85/13.05 tff(17920,plain,
% 12.85/13.05 ((~always200(s7)) | always200(s8)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17919, 17908, 5304])).
% 12.85/13.05 tff(17921,plain,
% 12.85/13.05 (~always200(s7)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17920, 17916])).
% 12.85/13.05 tff(17922,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s6, s7)) | (~always200(s6)) | always200(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s6, s7)) | (~always200(s6)) | always200(s7))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17923,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s6, s7)) | (~always200(s6)) | always200(s7))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17924,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s6, s7)) | (~always200(s6)) | always200(s7)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 12.85/13.05 tff(17925,plain,
% 12.85/13.05 ((~always200(s6)) | always200(s7)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17924, 17908, 5162])).
% 12.85/13.05 tff(17926,plain,
% 12.85/13.05 (~always200(s6)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17925, 17921])).
% 12.85/13.05 tff(17927,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s5, s6)) | (~always200(s5)) | always200(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s5, s6)) | (~always200(s5)) | always200(s6))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17928,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s5, s6)) | (~always200(s5)) | always200(s6))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17929,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s5, s6)) | (~always200(s5)) | always200(s6)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17928, 17927])).
% 12.85/13.05 tff(17930,plain,
% 12.85/13.05 ((~always200(s5)) | always200(s6)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17929, 17908, 15])).
% 12.85/13.05 tff(17931,plain,
% 12.85/13.05 (~always200(s5)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17930, 17926])).
% 12.85/13.05 tff(17932,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s4, s5)) | (~always200(s4)) | always200(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s4, s5)) | (~always200(s4)) | always200(s5))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17933,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s4, s5)) | (~always200(s4)) | always200(s5))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17934,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s4, s5)) | (~always200(s4)) | always200(s5)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 12.85/13.05 tff(17935,plain,
% 12.85/13.05 ((~always200(s4)) | always200(s5)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17934, 17908, 4253])).
% 12.85/13.05 tff(17936,plain,
% 12.85/13.05 (~always200(s4)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17935, 17931])).
% 12.85/13.05 tff(17937,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s3, s4)) | (~always200(s3)) | always200(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s3, s4)) | (~always200(s3)) | always200(s4))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17938,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s3, s4)) | (~always200(s3)) | always200(s4))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17939,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s3, s4)) | (~always200(s3)) | always200(s4)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 12.85/13.05 tff(17940,plain,
% 12.85/13.05 ((~always200(s3)) | always200(s4)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17939, 17908, 1179])).
% 12.85/13.05 tff(17941,plain,
% 12.85/13.05 (~always200(s3)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17940, 17936])).
% 12.85/13.05 tff(17942,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s2, s3)) | (~always200(s2)) | always200(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s2, s3)) | (~always200(s2)) | always200(s3))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17943,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s2, s3)) | (~always200(s2)) | always200(s3))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17944,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s2, s3)) | (~always200(s2)) | always200(s3)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 12.85/13.05 tff(17945,plain,
% 12.85/13.05 ((~always200(s2)) | always200(s3)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17944, 17908, 794])).
% 12.85/13.05 tff(17946,plain,
% 12.85/13.05 (~always200(s2)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17945, 17941])).
% 12.85/13.05 tff(17947,plain,
% 12.85/13.05 (^[X: $i] : refl((always200(X) | (~node201(X))) <=> (always200(X) | (~node201(X))))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17948,plain,
% 12.85/13.05 (![X: $i] : (always200(X) | (~node201(X))) <=> ![X: $i] : (always200(X) | (~node201(X)))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17947])).
% 12.85/13.05 tff(17949,plain,
% 12.85/13.05 (![X: $i] : (always200(X) | (~node201(X))) <=> ![X: $i] : (always200(X) | (~node201(X)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17950,axiom,(![X: $i] : (always200(X) | (~node201(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty54')).
% 12.85/13.05 tff(17951,plain,
% 12.85/13.05 (![X: $i] : (always200(X) | (~node201(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 12.85/13.05 tff(17952,plain,(
% 12.85/13.05 ![X: $i] : (always200(X) | (~node201(X)))),
% 12.85/13.05 inference(skolemize,[status(sab)],[17951])).
% 12.85/13.05 tff(17953,plain,
% 12.85/13.05 (![X: $i] : (always200(X) | (~node201(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17952, 17948])).
% 12.85/13.05 tff(17954,plain,
% 12.85/13.05 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s2) | (~node201(s2)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s2) | (~node201(s2)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17955,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s2) | (~node201(s2)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17956,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s2) | (~node201(s2))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 12.85/13.05 tff(17957,plain,
% 12.85/13.05 (~node201(s2)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17956, 17953, 17946])).
% 12.85/13.05 tff(17958,plain,
% 12.85/13.05 (^[X: $i] : refl((node201(X) | until246(X) | (~node250(X))) <=> (node201(X) | until246(X) | (~node250(X))))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17959,plain,
% 12.85/13.05 (![X: $i] : (node201(X) | until246(X) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17958])).
% 12.85/13.05 tff(17960,plain,
% 12.85/13.05 (![X: $i] : (node201(X) | until246(X) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17961,plain,
% 12.85/13.05 (^[X: $i] : rewrite(((node201(X) | until246(X)) | (~node250(X))) <=> (node201(X) | until246(X) | (~node250(X))))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(17962,plain,
% 12.85/13.05 (![X: $i] : ((node201(X) | until246(X)) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[17961])).
% 12.85/13.05 tff(17963,axiom,(![X: $i] : ((node201(X) | until246(X)) | (~node250(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty159')).
% 12.85/13.05 tff(17964,plain,
% 12.85/13.05 (![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 12.85/13.05 tff(17965,plain,
% 12.85/13.05 (![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17964, 17960])).
% 12.85/13.05 tff(17966,plain,(
% 12.85/13.05 ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(skolemize,[status(sab)],[17965])).
% 12.85/13.05 tff(17967,plain,
% 12.85/13.05 (![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17966, 17959])).
% 12.85/13.05 tff(17968,plain,
% 12.85/13.05 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s2) | until246(s2) | (~node250(s2)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s2) | until246(s2) | (~node250(s2)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17969,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s2) | until246(s2) | (~node250(s2)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17970,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s2) | until246(s2) | (~node250(s2))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 12.85/13.05 tff(17971,plain,
% 12.85/13.05 (until246(s2) | (~node250(s2))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17970, 17967, 17957])).
% 12.85/13.05 tff(17972,plain,
% 12.85/13.05 (~node250(s2)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17971, 17883])).
% 12.85/13.05 tff(17973,plain,
% 12.85/13.05 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s3) | (~node201(s3)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s3) | (~node201(s3)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17974,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s3) | (~node201(s3)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17975,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s3) | (~node201(s3))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 12.85/13.05 tff(17976,plain,
% 12.85/13.05 (~node201(s3)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17975, 17953, 17941])).
% 12.85/13.05 tff(17977,plain,
% 12.85/13.05 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s3) | until246(s3) | (~node250(s3)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s3) | until246(s3) | (~node250(s3)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17978,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s3) | until246(s3) | (~node250(s3)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17979,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s3) | until246(s3) | (~node250(s3))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 12.85/13.05 tff(17980,plain,
% 12.85/13.05 (until246(s3) | (~node250(s3))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17979, 17967, 17976])).
% 12.85/13.05 tff(17981,plain,
% 12.85/13.05 (~node250(s3)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17980, 17699])).
% 12.85/13.05 tff(17982,plain,
% 12.85/13.05 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s4) | (~node201(s4)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s4) | (~node201(s4)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17983,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s4) | (~node201(s4)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17984,plain,
% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s4) | (~node201(s4))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 12.85/13.05 tff(17985,plain,
% 12.85/13.05 (~node201(s4)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17984, 17953, 17936])).
% 12.85/13.05 tff(17986,plain,
% 12.85/13.05 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s4) | until246(s4) | (~node250(s4)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s4) | until246(s4) | (~node250(s4)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(17987,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s4) | until246(s4) | (~node250(s4)))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(17988,plain,
% 12.85/13.05 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s4) | until246(s4) | (~node250(s4))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[17987, 17986])).
% 12.85/13.05 tff(17989,plain,
% 12.85/13.05 (until246(s4) | (~node250(s4))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17988, 17967, 17985])).
% 12.85/13.05 tff(17990,plain,
% 12.85/13.05 (~node250(s4)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[17989, 17687])).
% 12.85/13.05 tff(17991,plain,
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18005, 18004])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18006, 17967, 18003])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18010, 18009])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18014, 18013])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18015, 17967, 18012])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18016, 17648])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s8) | (~node201(s8))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18019, 18018])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18020, 17953, 17916])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18023, 18022])).
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% 12.85/13.05 (until246(s8) | (~node250(s8))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18024, 17967, 18021])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18025, 17635])).
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% 12.85/13.05 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s9) | (~node201(s9)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s9) | (~node201(s9)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18028, 18027])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18029, 17953, 17898])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18032, 18031])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18033, 17967, 18030])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18034, 17612])).
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% 12.85/13.05 inference(quant_intro,[status(thm)],[18036])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(quant_intro,[status(thm)],[18039])).
% 12.85/13.05 tff(18041,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil252(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty162')).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18047, 18046])).
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% 12.85/13.05 inference(bind,[status(th)],[])).
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% 12.85/13.05 (![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X)) <=> ![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[18051])).
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% 12.85/13.05 (![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X)) <=> ![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(bind,[status(th)],[])).
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% 12.85/13.05 (![X: $i] : ((node250(X) | xuntil252(X)) | (~until251(X))) <=> ![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[18054])).
% 12.85/13.05 tff(18056,axiom,(![X: $i] : ((node250(X) | xuntil252(X)) | (~until251(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty160')).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18057, 18053])).
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% 12.85/13.05 inference(modus_ponens,[status(thm)],[18059, 18052])).
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% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s9) | node250(s9) | (~until251(s9)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s9) | node250(s9) | (~until251(s9)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 inference(rewrite,[status(thm)],[])).
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% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s9) | (~until251(s9)) | xuntil252(s9))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s9) | node250(s9) | (~until251(s9))))),
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18066, 18060, 18050])).
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% 12.85/13.05 inference(unit_resolution,[status(thm)],[18067, 18035])).
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% 12.85/13.05 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil252(X)) | until251(Y)) <=> ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y)))),
% 12.85/13.05 inference(bind,[status(th)],[])).
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% 12.85/13.05 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[18069])).
% 12.85/13.05 tff(18071,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18072,plain,
% 12.85/13.05 (^[Y: $i, X: $i] : rewrite(((until251(Y) | (~succ(X, Y))) | (~xuntil252(X))) <=> ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y)))),
% 12.85/13.05 inference(bind,[status(th)],[])).
% 12.85/13.05 tff(18073,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((until251(Y) | (~succ(X, Y))) | (~xuntil252(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(quant_intro,[status(thm)],[18072])).
% 12.85/13.05 tff(18074,axiom,(![Y: $i, X: $i] : ((until251(Y) | (~succ(X, Y))) | (~xuntil252(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty161')).
% 12.85/13.05 tff(18075,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 12.85/13.05 tff(18076,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18075, 18071])).
% 12.85/13.05 tff(18077,plain,(
% 12.85/13.05 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(skolemize,[status(sab)],[18076])).
% 12.85/13.05 tff(18078,plain,
% 12.85/13.05 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18077, 18070])).
% 12.85/13.05 tff(18079,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s8, s9)) | (~xuntil252(s8)) | until251(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s8, s9)) | (~xuntil252(s8)) | until251(s9))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18080,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s8, s9)) | (~xuntil252(s8)) | until251(s9))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(18081,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s8, s9)) | (~xuntil252(s8)) | until251(s9)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 12.85/13.05 tff(18082,plain,
% 12.85/13.05 ((~xuntil252(s8)) | until251(s9)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18081, 5504, 18078])).
% 12.85/13.05 tff(18083,plain,
% 12.85/13.05 (~xuntil252(s8)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18082, 18068])).
% 12.85/13.05 tff(18084,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s8) | node250(s8) | (~until251(s8)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s8) | node250(s8) | (~until251(s8)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18085,plain,
% 12.85/13.05 ((node250(s8) | (~until251(s8)) | xuntil252(s8)) <=> (xuntil252(s8) | node250(s8) | (~until251(s8)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18086,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s8) | (~until251(s8)) | xuntil252(s8))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s8) | node250(s8) | (~until251(s8))))),
% 12.85/13.05 inference(monotonicity,[status(thm)],[18085])).
% 12.85/13.05 tff(18087,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s8) | (~until251(s8)) | xuntil252(s8))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s8) | node250(s8) | (~until251(s8)))),
% 12.85/13.05 inference(transitivity,[status(thm)],[18086, 18084])).
% 12.85/13.05 tff(18088,plain,
% 12.85/13.05 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s8) | (~until251(s8)) | xuntil252(s8))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(18089,plain,
% 12.85/13.05 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s8) | node250(s8) | (~until251(s8))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18088, 18087])).
% 12.85/13.05 tff(18090,plain,
% 12.85/13.05 (node250(s8) | (~until251(s8))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18089, 18060, 18083])).
% 12.85/13.05 tff(18091,plain,
% 12.85/13.05 (~until251(s8)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18090, 18026])).
% 12.85/13.05 tff(18092,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18093,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(18094,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18093, 18092])).
% 12.85/13.05 tff(18095,plain,
% 12.85/13.05 ((~xuntil252(s7)) | until251(s8)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18094, 5300, 18078])).
% 12.85/13.05 tff(18096,plain,
% 12.85/13.05 (~xuntil252(s7)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18095, 18091])).
% 12.85/13.05 tff(18097,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s7) | node250(s7) | (~until251(s7)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s7) | node250(s7) | (~until251(s7)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18098,plain,
% 12.85/13.05 ((node250(s7) | (~until251(s7)) | xuntil252(s7)) <=> (xuntil252(s7) | node250(s7) | (~until251(s7)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18099,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s7) | (~until251(s7)) | xuntil252(s7))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s7) | node250(s7) | (~until251(s7))))),
% 12.85/13.05 inference(monotonicity,[status(thm)],[18098])).
% 12.85/13.05 tff(18100,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s7) | (~until251(s7)) | xuntil252(s7))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s7) | node250(s7) | (~until251(s7)))),
% 12.85/13.05 inference(transitivity,[status(thm)],[18099, 18097])).
% 12.85/13.05 tff(18101,plain,
% 12.85/13.05 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s7) | (~until251(s7)) | xuntil252(s7))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(18102,plain,
% 12.85/13.05 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s7) | node250(s7) | (~until251(s7))),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 12.85/13.05 tff(18103,plain,
% 12.85/13.05 (node250(s7) | (~until251(s7))),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18102, 18060, 18096])).
% 12.85/13.05 tff(18104,plain,
% 12.85/13.05 (~until251(s7)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18103, 18017])).
% 12.85/13.05 tff(18105,plain,
% 12.85/13.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18106,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.05 tff(18107,plain,
% 12.85/13.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7)),
% 12.85/13.05 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 12.85/13.05 tff(18108,plain,
% 12.85/13.05 ((~xuntil252(s6)) | until251(s7)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18107, 5158, 18078])).
% 12.85/13.05 tff(18109,plain,
% 12.85/13.05 (~xuntil252(s6)),
% 12.85/13.05 inference(unit_resolution,[status(thm)],[18108, 18104])).
% 12.85/13.05 tff(18110,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s6) | node250(s6) | (~until251(s6)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s6) | node250(s6) | (~until251(s6)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18111,plain,
% 12.85/13.05 ((node250(s6) | (~until251(s6)) | xuntil252(s6)) <=> (xuntil252(s6) | node250(s6) | (~until251(s6)))),
% 12.85/13.05 inference(rewrite,[status(thm)],[])).
% 12.85/13.05 tff(18112,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s6) | (~until251(s6)) | xuntil252(s6))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s6) | node250(s6) | (~until251(s6))))),
% 12.85/13.05 inference(monotonicity,[status(thm)],[18111])).
% 12.85/13.05 tff(18113,plain,
% 12.85/13.05 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s6) | (~until251(s6)) | xuntil252(s6))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s6) | node250(s6) | (~until251(s6)))),
% 12.85/13.05 inference(transitivity,[status(thm)],[18112, 18110])).
% 12.85/13.05 tff(18114,plain,
% 12.85/13.05 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s6) | (~until251(s6)) | xuntil252(s6))),
% 12.85/13.05 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18115,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s6) | node250(s6) | (~until251(s6))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 12.85/13.06 tff(18116,plain,
% 12.85/13.06 (node250(s6) | (~until251(s6))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18115, 18060, 18109])).
% 12.85/13.06 tff(18117,plain,
% 12.85/13.06 (~until251(s6)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18116, 18008])).
% 12.85/13.06 tff(18118,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s5, s6)) | (~xuntil252(s5)) | until251(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s5, s6)) | (~xuntil252(s5)) | until251(s6))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18119,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s5, s6)) | (~xuntil252(s5)) | until251(s6))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18120,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s5, s6)) | (~xuntil252(s5)) | until251(s6)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18119, 18118])).
% 12.85/13.06 tff(18121,plain,
% 12.85/13.06 ((~xuntil252(s5)) | until251(s6)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18120, 11, 18078])).
% 12.85/13.06 tff(18122,plain,
% 12.85/13.06 (~xuntil252(s5)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18121, 18117])).
% 12.85/13.06 tff(18123,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s5) | node250(s5) | (~until251(s5)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s5) | node250(s5) | (~until251(s5)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18124,plain,
% 12.85/13.06 ((node250(s5) | (~until251(s5)) | xuntil252(s5)) <=> (xuntil252(s5) | node250(s5) | (~until251(s5)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18125,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s5) | (~until251(s5)) | xuntil252(s5))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s5) | node250(s5) | (~until251(s5))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18124])).
% 12.85/13.06 tff(18126,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s5) | (~until251(s5)) | xuntil252(s5))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s5) | node250(s5) | (~until251(s5)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18125, 18123])).
% 12.85/13.06 tff(18127,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s5) | (~until251(s5)) | xuntil252(s5))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18128,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s5) | node250(s5) | (~until251(s5))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18127, 18126])).
% 12.85/13.06 tff(18129,plain,
% 12.85/13.06 (node250(s5) | (~until251(s5))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18128, 18060, 18122])).
% 12.85/13.06 tff(18130,plain,
% 12.85/13.06 (~until251(s5)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18129, 17999])).
% 12.85/13.06 tff(18131,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s4, s5)) | (~xuntil252(s4)) | until251(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s4, s5)) | (~xuntil252(s4)) | until251(s5))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18132,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s4, s5)) | (~xuntil252(s4)) | until251(s5))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18133,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s4, s5)) | (~xuntil252(s4)) | until251(s5)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18132, 18131])).
% 12.85/13.06 tff(18134,plain,
% 12.85/13.06 ((~xuntil252(s4)) | until251(s5)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18133, 4249, 18078])).
% 12.85/13.06 tff(18135,plain,
% 12.85/13.06 (~xuntil252(s4)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18134, 18130])).
% 12.85/13.06 tff(18136,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s4) | node250(s4) | (~until251(s4)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s4) | node250(s4) | (~until251(s4)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18137,plain,
% 12.85/13.06 ((node250(s4) | (~until251(s4)) | xuntil252(s4)) <=> (xuntil252(s4) | node250(s4) | (~until251(s4)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18138,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s4) | (~until251(s4)) | xuntil252(s4))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s4) | node250(s4) | (~until251(s4))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18137])).
% 12.85/13.06 tff(18139,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s4) | (~until251(s4)) | xuntil252(s4))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s4) | node250(s4) | (~until251(s4)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18138, 18136])).
% 12.85/13.06 tff(18140,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s4) | (~until251(s4)) | xuntil252(s4))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18141,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s4) | node250(s4) | (~until251(s4))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 12.85/13.06 tff(18142,plain,
% 12.85/13.06 (node250(s4) | (~until251(s4))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18141, 18060, 18135])).
% 12.85/13.06 tff(18143,plain,
% 12.85/13.06 (~until251(s4)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18142, 17990])).
% 12.85/13.06 tff(18144,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18145,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18146,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 12.85/13.06 tff(18147,plain,
% 12.85/13.06 ((~xuntil252(s3)) | until251(s4)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18146, 1175, 18078])).
% 12.85/13.06 tff(18148,plain,
% 12.85/13.06 (~xuntil252(s3)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18147, 18143])).
% 12.85/13.06 tff(18149,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s3) | node250(s3) | (~until251(s3)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18150,plain,
% 12.85/13.06 ((node250(s3) | (~until251(s3)) | xuntil252(s3)) <=> (xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18151,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s3) | node250(s3) | (~until251(s3))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18150])).
% 12.85/13.06 tff(18152,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18151, 18149])).
% 12.85/13.06 tff(18153,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18154,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18153, 18152])).
% 12.85/13.06 tff(18155,plain,
% 12.85/13.06 (node250(s3) | (~until251(s3))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18154, 18060, 18148])).
% 12.85/13.06 tff(18156,plain,
% 12.85/13.06 (~until251(s3)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18155, 17981])).
% 12.85/13.06 tff(18157,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18158,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18159,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 12.85/13.06 tff(18160,plain,
% 12.85/13.06 ((~xuntil252(s2)) | until251(s3)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18159, 790, 18078])).
% 12.85/13.06 tff(18161,plain,
% 12.85/13.06 (~xuntil252(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18160, 18156])).
% 12.85/13.06 tff(18162,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s2) | node250(s2) | (~until251(s2)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18163,plain,
% 12.85/13.06 ((node250(s2) | (~until251(s2)) | xuntil252(s2)) <=> (xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18164,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s2) | node250(s2) | (~until251(s2))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18163])).
% 12.85/13.06 tff(18165,plain,
% 12.85/13.06 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18164, 18162])).
% 12.85/13.06 tff(18166,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18167,plain,
% 12.85/13.06 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18166, 18165])).
% 12.85/13.06 tff(18168,plain,
% 12.85/13.06 (~until251(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18167, 18060, 18161, 17972])).
% 12.85/13.06 tff(18169,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18170,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18171,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18170, 18169])).
% 12.85/13.06 tff(18172,plain,
% 12.85/13.06 ((~xuntil252(s1)) | until251(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18171, 222, 18078])).
% 12.85/13.06 tff(18173,plain,
% 12.85/13.06 (~xuntil252(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18172, 18168])).
% 12.85/13.06 tff(18174,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18175,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18176,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 12.85/13.06 tff(18177,plain,
% 12.85/13.06 ((~xuntil247(s1)) | until246(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18176, 222, 17622])).
% 12.85/13.06 tff(18178,plain,
% 12.85/13.06 (~xuntil247(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18177, 17883])).
% 12.85/13.06 tff(18179,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18180,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18181,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18180, 18179])).
% 12.85/13.06 tff(18182,plain,
% 12.85/13.06 ((~xuntil242(s1)) | until241(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18181, 222, 17220])).
% 12.85/13.06 tff(18183,plain,
% 12.85/13.06 (~xuntil242(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18182, 17861])).
% 12.85/13.06 tff(18184,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18185,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18186,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 12.85/13.06 tff(18187,plain,
% 12.85/13.06 ((~xuntil237(s1)) | until236(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18186, 222, 16872])).
% 12.85/13.06 tff(18188,plain,
% 12.85/13.06 (~xuntil237(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18187, 17839])).
% 12.85/13.06 tff(18189,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18190,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18191,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 12.85/13.06 tff(18192,plain,
% 12.85/13.06 ((~xuntil232(s1)) | until231(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18191, 222, 16578])).
% 12.85/13.06 tff(18193,plain,
% 12.85/13.06 (~xuntil232(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18192, 17817])).
% 12.85/13.06 tff(18194,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18195,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18196,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 12.85/13.06 tff(18197,plain,
% 12.85/13.06 ((~xuntil227(s1)) | until226(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18196, 222, 16338])).
% 12.85/13.06 tff(18198,plain,
% 12.85/13.06 (~xuntil227(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18197, 17795])).
% 12.85/13.06 tff(18199,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18200,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18201,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18200, 18199])).
% 12.85/13.06 tff(18202,plain,
% 12.85/13.06 ((~xuntil222(s1)) | until221(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18201, 222, 16152])).
% 12.85/13.06 tff(18203,plain,
% 12.85/13.06 (~xuntil222(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18202, 17773])).
% 12.85/13.06 tff(18204,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18205,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18206,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18205, 18204])).
% 12.85/13.06 tff(18207,plain,
% 12.85/13.06 ((~xuntil217(s1)) | until216(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18206, 222, 16075])).
% 12.85/13.06 tff(18208,plain,
% 12.85/13.06 (~xuntil217(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18207, 17751])).
% 12.85/13.06 tff(18209,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s1, s2)) | (~always214(s1)) | always214(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s1, s2)) | (~always214(s1)) | always214(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18210,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s1, s2)) | (~always214(s1)) | always214(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18211,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s1, s2)) | (~always214(s1)) | always214(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 12.85/13.06 tff(18212,plain,
% 12.85/13.06 ((~always214(s1)) | always214(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18211, 16009, 226])).
% 12.85/13.06 tff(18213,plain,
% 12.85/13.06 (~always214(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18212, 17739])).
% 12.85/13.06 tff(18214,plain,
% 12.85/13.06 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s1) | (~node215(s1)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s1) | (~node215(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18215,plain,
% 12.85/13.06 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s1) | (~node215(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18216,plain,
% 12.85/13.06 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s1) | (~node215(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18215, 18214])).
% 12.85/13.06 tff(18217,plain,
% 12.85/13.06 (~node215(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18216, 16024, 18213])).
% 12.85/13.06 tff(18218,plain,
% 12.85/13.06 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s1) | node215(s1) | (~until216(s1)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s1) | node215(s1) | (~until216(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18219,plain,
% 12.85/13.06 ((node215(s1) | (~until216(s1)) | xuntil217(s1)) <=> (xuntil217(s1) | node215(s1) | (~until216(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18220,plain,
% 12.85/13.06 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s1) | (~until216(s1)) | xuntil217(s1))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s1) | node215(s1) | (~until216(s1))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18219])).
% 12.85/13.06 tff(18221,plain,
% 12.85/13.06 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s1) | (~until216(s1)) | xuntil217(s1))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s1) | node215(s1) | (~until216(s1)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18220, 18218])).
% 12.85/13.06 tff(18222,plain,
% 12.85/13.06 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s1) | (~until216(s1)) | xuntil217(s1))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18223,plain,
% 12.85/13.06 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s1) | node215(s1) | (~until216(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 12.85/13.06 tff(18224,plain,
% 12.85/13.06 (xuntil217(s1) | (~until216(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18223, 16057, 18217])).
% 12.85/13.06 tff(18225,plain,
% 12.85/13.06 (~until216(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18224, 18208])).
% 12.85/13.06 tff(18226,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s1, s2)) | always212(s2) | (~always212(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s1, s2)) | always212(s2) | (~always212(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18227,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s1, s2)) | always212(s2) | (~always212(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18228,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s1, s2)) | always212(s2) | (~always212(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18227, 18226])).
% 12.85/13.06 tff(18229,plain,
% 12.85/13.06 (always212(s2) | (~always212(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18228, 15965, 226])).
% 12.85/13.06 tff(18230,plain,
% 12.85/13.06 (~always212(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18229, 17756])).
% 12.85/13.06 tff(18231,plain,
% 12.85/13.06 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s1) | (~node213(s1)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s1) | (~node213(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18232,plain,
% 12.85/13.06 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s1) | (~node213(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18233,plain,
% 12.85/13.06 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s1) | (~node213(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18232, 18231])).
% 12.85/13.06 tff(18234,plain,
% 12.85/13.06 (~node213(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18233, 15980, 18230])).
% 12.85/13.06 tff(18235,plain,
% 12.85/13.06 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s1) | until216(s1) | (~node220(s1)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s1) | until216(s1) | (~node220(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18236,plain,
% 12.85/13.06 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s1) | until216(s1) | (~node220(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18237,plain,
% 12.85/13.06 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s1) | until216(s1) | (~node220(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 12.85/13.06 tff(18238,plain,
% 12.85/13.06 (until216(s1) | (~node220(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18237, 16097, 18234])).
% 12.85/13.06 tff(18239,plain,
% 12.85/13.06 (~node220(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18238, 18225])).
% 12.85/13.06 tff(18240,plain,
% 12.85/13.06 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s1) | node220(s1) | (~until221(s1)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18241,plain,
% 12.85/13.06 ((node220(s1) | (~until221(s1)) | xuntil222(s1)) <=> (xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18242,plain,
% 12.85/13.06 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s1) | node220(s1) | (~until221(s1))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18241])).
% 12.85/13.06 tff(18243,plain,
% 12.85/13.06 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18242, 18240])).
% 12.85/13.06 tff(18244,plain,
% 12.85/13.06 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18245,plain,
% 12.85/13.06 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18244, 18243])).
% 12.85/13.06 tff(18246,plain,
% 12.85/13.06 (xuntil222(s1) | (~until221(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18245, 16134, 18239])).
% 12.85/13.06 tff(18247,plain,
% 12.85/13.06 (~until221(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18246, 18203])).
% 12.85/13.06 tff(18248,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s1, s2)) | always210(s2) | (~always210(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s1, s2)) | always210(s2) | (~always210(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18249,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s1, s2)) | always210(s2) | (~always210(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18250,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s1, s2)) | always210(s2) | (~always210(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 12.85/13.06 tff(18251,plain,
% 12.85/13.06 (always210(s2) | (~always210(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18250, 16238, 226])).
% 12.85/13.06 tff(18252,plain,
% 12.85/13.06 (~always210(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18251, 17778])).
% 12.85/13.06 tff(18253,plain,
% 12.85/13.06 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s1) | (~node211(s1)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s1) | (~node211(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18254,plain,
% 12.85/13.06 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s1) | (~node211(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18255,plain,
% 12.85/13.06 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s1) | (~node211(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 12.85/13.06 tff(18256,plain,
% 12.85/13.06 (~node211(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18255, 16258, 18252])).
% 12.85/13.06 tff(18257,plain,
% 12.85/13.06 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s1) | until221(s1) | (~node225(s1)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s1) | until221(s1) | (~node225(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18258,plain,
% 12.85/13.06 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s1) | until221(s1) | (~node225(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18259,plain,
% 12.85/13.06 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s1) | until221(s1) | (~node225(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 12.85/13.06 tff(18260,plain,
% 12.85/13.06 (until221(s1) | (~node225(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18259, 16272, 18256])).
% 12.85/13.06 tff(18261,plain,
% 12.85/13.06 (~node225(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18260, 18247])).
% 12.85/13.06 tff(18262,plain,
% 12.85/13.06 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s1) | node225(s1) | (~until226(s1)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18263,plain,
% 12.85/13.06 ((node225(s1) | (~until226(s1)) | xuntil227(s1)) <=> (xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18264,plain,
% 12.85/13.06 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s1) | node225(s1) | (~until226(s1))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18263])).
% 12.85/13.06 tff(18265,plain,
% 12.85/13.06 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18264, 18262])).
% 12.85/13.06 tff(18266,plain,
% 12.85/13.06 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18267,plain,
% 12.85/13.06 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 12.85/13.06 tff(18268,plain,
% 12.85/13.06 (xuntil227(s1) | (~until226(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18267, 16320, 18261])).
% 12.85/13.06 tff(18269,plain,
% 12.85/13.06 (~until226(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18268, 18198])).
% 12.85/13.06 tff(18270,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s1, s2)) | (~always208(s1)) | always208(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s1, s2)) | (~always208(s1)) | always208(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18271,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s1, s2)) | (~always208(s1)) | always208(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18272,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s1, s2)) | (~always208(s1)) | always208(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18271, 18270])).
% 12.85/13.06 tff(18273,plain,
% 12.85/13.06 ((~always208(s1)) | always208(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18272, 16464, 226])).
% 12.85/13.06 tff(18274,plain,
% 12.85/13.06 (~always208(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18273, 17800])).
% 12.85/13.06 tff(18275,plain,
% 12.85/13.06 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s1) | (~node209(s1)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s1) | (~node209(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18276,plain,
% 12.85/13.06 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s1) | (~node209(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18277,plain,
% 12.85/13.06 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s1) | (~node209(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 12.85/13.06 tff(18278,plain,
% 12.85/13.06 (~node209(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18277, 16489, 18274])).
% 12.85/13.06 tff(18279,plain,
% 12.85/13.06 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s1) | until226(s1) | (~node230(s1)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s1) | until226(s1) | (~node230(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18280,plain,
% 12.85/13.06 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s1) | until226(s1) | (~node230(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18281,plain,
% 12.85/13.06 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s1) | until226(s1) | (~node230(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 12.85/13.06 tff(18282,plain,
% 12.85/13.06 (until226(s1) | (~node230(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18281, 16503, 18278])).
% 12.85/13.06 tff(18283,plain,
% 12.85/13.06 (~node230(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18282, 18269])).
% 12.85/13.06 tff(18284,plain,
% 12.85/13.06 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s1) | node230(s1) | (~until231(s1)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18285,plain,
% 12.85/13.06 ((node230(s1) | (~until231(s1)) | xuntil232(s1)) <=> (xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18286,plain,
% 12.85/13.06 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s1) | (~until231(s1)) | xuntil232(s1))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s1) | node230(s1) | (~until231(s1))))),
% 12.85/13.06 inference(monotonicity,[status(thm)],[18285])).
% 12.85/13.06 tff(18287,plain,
% 12.85/13.06 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s1) | (~until231(s1)) | xuntil232(s1))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.85/13.06 inference(transitivity,[status(thm)],[18286, 18284])).
% 12.85/13.06 tff(18288,plain,
% 12.85/13.06 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s1) | (~until231(s1)) | xuntil232(s1))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18289,plain,
% 12.85/13.06 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 12.85/13.06 tff(18290,plain,
% 12.85/13.06 (xuntil232(s1) | (~until231(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18289, 16560, 18283])).
% 12.85/13.06 tff(18291,plain,
% 12.85/13.06 (~until231(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18290, 18193])).
% 12.85/13.06 tff(18292,plain,
% 12.85/13.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s1, s2)) | (~always206(s1)) | always206(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s1, s2)) | (~always206(s1)) | always206(s2))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18293,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s1, s2)) | (~always206(s1)) | always206(s2))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18294,plain,
% 12.85/13.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s1, s2)) | (~always206(s1)) | always206(s2)),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 12.85/13.06 tff(18295,plain,
% 12.85/13.06 ((~always206(s1)) | always206(s2)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18294, 16744, 226])).
% 12.85/13.06 tff(18296,plain,
% 12.85/13.06 (~always206(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18295, 17822])).
% 12.85/13.06 tff(18297,plain,
% 12.85/13.06 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s1) | (~node207(s1)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s1) | (~node207(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18298,plain,
% 12.85/13.06 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s1) | (~node207(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18299,plain,
% 12.85/13.06 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s1) | (~node207(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 12.85/13.06 tff(18300,plain,
% 12.85/13.06 (~node207(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18299, 16774, 18296])).
% 12.85/13.06 tff(18301,plain,
% 12.85/13.06 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s1) | until231(s1) | (~node235(s1)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s1) | until231(s1) | (~node235(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18302,plain,
% 12.85/13.06 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s1) | until231(s1) | (~node235(s1)))),
% 12.85/13.06 inference(quant_inst,[status(thm)],[])).
% 12.85/13.06 tff(18303,plain,
% 12.85/13.06 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s1) | until231(s1) | (~node235(s1))),
% 12.85/13.06 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 12.85/13.06 tff(18304,plain,
% 12.85/13.06 (until231(s1) | (~node235(s1))),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18303, 16788, 18300])).
% 12.85/13.06 tff(18305,plain,
% 12.85/13.06 (~node235(s1)),
% 12.85/13.06 inference(unit_resolution,[status(thm)],[18304, 18291])).
% 12.85/13.06 tff(18306,plain,
% 12.85/13.06 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s1) | node235(s1) | (~until236(s1)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18307,plain,
% 12.85/13.06 ((node235(s1) | (~until236(s1)) | xuntil237(s1)) <=> (xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.85/13.06 inference(rewrite,[status(thm)],[])).
% 12.85/13.06 tff(18308,plain,
% 12.85/13.06 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s1) | node235(s1) | (~until236(s1))))),
% 12.85/13.07 inference(monotonicity,[status(thm)],[18307])).
% 12.85/13.07 tff(18309,plain,
% 12.85/13.07 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.85/13.07 inference(transitivity,[status(thm)],[18308, 18306])).
% 12.85/13.07 tff(18310,plain,
% 12.85/13.07 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18311,plain,
% 12.85/13.07 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18310, 18309])).
% 12.85/13.07 tff(18312,plain,
% 12.85/13.07 (xuntil237(s1) | (~until236(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18311, 16854, 18305])).
% 12.85/13.07 tff(18313,plain,
% 12.85/13.07 (~until236(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18312, 18188])).
% 12.85/13.07 tff(18314,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s1, s2)) | always204(s2) | (~always204(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s1, s2)) | always204(s2) | (~always204(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18315,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s1, s2)) | always204(s2) | (~always204(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18316,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s1, s2)) | always204(s2) | (~always204(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18315, 18314])).
% 12.85/13.07 tff(18317,plain,
% 12.85/13.07 (always204(s2) | (~always204(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18316, 17078, 226])).
% 12.85/13.07 tff(18318,plain,
% 12.85/13.07 (~always204(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18317, 17844])).
% 12.85/13.07 tff(18319,plain,
% 12.85/13.07 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s1) | (~node205(s1)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s1) | (~node205(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18320,plain,
% 12.85/13.07 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s1) | (~node205(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18321,plain,
% 12.85/13.07 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s1) | (~node205(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 12.85/13.07 tff(18322,plain,
% 12.85/13.07 (~node205(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18321, 17113, 18318])).
% 12.85/13.07 tff(18323,plain,
% 12.85/13.07 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s1) | until236(s1) | (~node240(s1)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s1) | until236(s1) | (~node240(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18324,plain,
% 12.85/13.07 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s1) | until236(s1) | (~node240(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18325,plain,
% 12.85/13.07 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s1) | until236(s1) | (~node240(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 12.85/13.07 tff(18326,plain,
% 12.85/13.07 (until236(s1) | (~node240(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18325, 17127, 18322])).
% 12.85/13.07 tff(18327,plain,
% 12.85/13.07 (~node240(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18326, 18313])).
% 12.85/13.07 tff(18328,plain,
% 12.85/13.07 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s1) | node240(s1) | (~until241(s1)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18329,plain,
% 12.85/13.07 ((node240(s1) | (~until241(s1)) | xuntil242(s1)) <=> (xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18330,plain,
% 12.85/13.07 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s1) | node240(s1) | (~until241(s1))))),
% 12.85/13.07 inference(monotonicity,[status(thm)],[18329])).
% 12.85/13.07 tff(18331,plain,
% 12.85/13.07 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.85/13.07 inference(transitivity,[status(thm)],[18330, 18328])).
% 12.85/13.07 tff(18332,plain,
% 12.85/13.07 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18333,plain,
% 12.85/13.07 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 12.85/13.07 tff(18334,plain,
% 12.85/13.07 (xuntil242(s1) | (~until241(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18333, 17202, 18327])).
% 12.85/13.07 tff(18335,plain,
% 12.85/13.07 (~until241(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18334, 18183])).
% 12.85/13.07 tff(18336,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s1, s2)) | always202(s2) | (~always202(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s1, s2)) | always202(s2) | (~always202(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18337,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s1, s2)) | always202(s2) | (~always202(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18338,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s1, s2)) | always202(s2) | (~always202(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18337, 18336])).
% 12.85/13.07 tff(18339,plain,
% 12.85/13.07 (always202(s2) | (~always202(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18338, 17466, 226])).
% 12.85/13.07 tff(18340,plain,
% 12.85/13.07 (~always202(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18339, 17866])).
% 12.85/13.07 tff(18341,plain,
% 12.85/13.07 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s1) | (~node203(s1)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s1) | (~node203(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18342,plain,
% 12.85/13.07 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s1) | (~node203(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18343,plain,
% 12.85/13.07 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s1) | (~node203(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 12.85/13.07 tff(18344,plain,
% 12.85/13.07 (~node203(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18343, 17506, 18340])).
% 12.85/13.07 tff(18345,plain,
% 12.85/13.07 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s1) | until241(s1) | (~node245(s1)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s1) | until241(s1) | (~node245(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18346,plain,
% 12.85/13.07 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s1) | until241(s1) | (~node245(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18347,plain,
% 12.85/13.07 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s1) | until241(s1) | (~node245(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18346, 18345])).
% 12.85/13.07 tff(18348,plain,
% 12.85/13.07 (until241(s1) | (~node245(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18347, 17520, 18344])).
% 12.85/13.07 tff(18349,plain,
% 12.85/13.07 (~node245(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18348, 18335])).
% 12.85/13.07 tff(18350,plain,
% 12.85/13.07 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s1) | node245(s1) | (~until246(s1)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18351,plain,
% 12.85/13.07 ((node245(s1) | (~until246(s1)) | xuntil247(s1)) <=> (xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18352,plain,
% 12.85/13.07 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s1) | node245(s1) | (~until246(s1))))),
% 12.85/13.07 inference(monotonicity,[status(thm)],[18351])).
% 12.85/13.07 tff(18353,plain,
% 12.85/13.07 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.85/13.07 inference(transitivity,[status(thm)],[18352, 18350])).
% 12.85/13.07 tff(18354,plain,
% 12.85/13.07 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18355,plain,
% 12.85/13.07 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 12.85/13.07 tff(18356,plain,
% 12.85/13.07 (xuntil247(s1) | (~until246(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18355, 17604, 18349])).
% 12.85/13.07 tff(18357,plain,
% 12.85/13.07 (~until246(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18356, 18178])).
% 12.85/13.07 tff(18358,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s1, s2)) | (~always200(s1)) | always200(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s1, s2)) | (~always200(s1)) | always200(s2))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18359,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s1, s2)) | (~always200(s1)) | always200(s2))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18360,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s1, s2)) | (~always200(s1)) | always200(s2)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 12.85/13.07 tff(18361,plain,
% 12.85/13.07 ((~always200(s1)) | always200(s2)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18360, 17908, 226])).
% 12.85/13.07 tff(18362,plain,
% 12.85/13.07 (~always200(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18361, 17946])).
% 12.85/13.07 tff(18363,plain,
% 12.85/13.07 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s1) | (~node201(s1)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s1) | (~node201(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18364,plain,
% 12.85/13.07 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s1) | (~node201(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18365,plain,
% 12.85/13.07 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s1) | (~node201(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 12.85/13.07 tff(18366,plain,
% 12.85/13.07 (~node201(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18365, 17953, 18362])).
% 12.85/13.07 tff(18367,plain,
% 12.85/13.07 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s1) | until246(s1) | (~node250(s1)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s1) | until246(s1) | (~node250(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18368,plain,
% 12.85/13.07 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s1) | until246(s1) | (~node250(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18369,plain,
% 12.85/13.07 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s1) | until246(s1) | (~node250(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 12.85/13.07 tff(18370,plain,
% 12.85/13.07 (until246(s1) | (~node250(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18369, 17967, 18366])).
% 12.85/13.07 tff(18371,plain,
% 12.85/13.07 (~node250(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18370, 18357])).
% 12.85/13.07 tff(18372,plain,
% 12.85/13.07 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s1) | node250(s1) | (~until251(s1)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18373,plain,
% 12.85/13.07 ((node250(s1) | (~until251(s1)) | xuntil252(s1)) <=> (xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18374,plain,
% 12.85/13.07 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s1) | node250(s1) | (~until251(s1))))),
% 12.85/13.07 inference(monotonicity,[status(thm)],[18373])).
% 12.85/13.07 tff(18375,plain,
% 12.85/13.07 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.85/13.07 inference(transitivity,[status(thm)],[18374, 18372])).
% 12.85/13.07 tff(18376,plain,
% 12.85/13.07 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18377,plain,
% 12.85/13.07 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 12.85/13.07 tff(18378,plain,
% 12.85/13.07 (xuntil252(s1) | (~until251(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18377, 18060, 18371])).
% 12.85/13.07 tff(18379,plain,
% 12.85/13.07 (~until251(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18378, 18173])).
% 12.85/13.07 tff(18380,plain,
% 12.85/13.07 (^[X: $i] : refl((loop | (~last(X)) | (~always198(X))) <=> (loop | (~last(X)) | (~always198(X))))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18381,plain,
% 12.85/13.07 (![X: $i] : (loop | (~last(X)) | (~always198(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18380])).
% 12.85/13.07 tff(18382,plain,
% 12.85/13.07 (![X: $i] : (loop | (~last(X)) | (~always198(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18383,plain,
% 12.85/13.07 (^[X: $i] : rewrite(((loop | (~always198(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always198(X))))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18384,plain,
% 12.85/13.07 (![X: $i] : ((loop | (~always198(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18383])).
% 12.85/13.07 tff(18385,axiom,(![X: $i] : ((loop | (~always198(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty45')).
% 12.85/13.07 tff(18386,plain,
% 12.85/13.07 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 12.85/13.07 tff(18387,plain,
% 12.85/13.07 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18386, 18382])).
% 12.85/13.07 tff(18388,plain,(
% 12.85/13.07 ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(skolemize,[status(sab)],[18387])).
% 12.85/13.07 tff(18389,plain,
% 12.85/13.07 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18388, 18381])).
% 12.85/13.07 tff(18390,plain,
% 12.85/13.07 (((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | (loop | (~last(s9)) | (~always198(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | loop | (~last(s9)) | (~always198(s9)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18391,plain,
% 12.85/13.07 ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | (loop | (~last(s9)) | (~always198(s9)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18392,plain,
% 12.85/13.07 ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | loop | (~last(s9)) | (~always198(s9))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 12.85/13.07 tff(18393,plain,
% 12.85/13.07 (loop | (~always198(s9))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18392, 15950, 18389])).
% 12.85/13.07 tff(18394,plain,
% 12.85/13.07 (~always198(s9)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18393, 15937])).
% 12.85/13.07 tff(18395,plain,
% 12.85/13.07 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ((~trans(X, Y)) | (~always198(X)) | always198(Y)))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18396,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18395])).
% 12.85/13.07 tff(18397,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18398,plain,
% 12.85/13.07 (^[Y: $i, X: $i] : rewrite(((always198(Y) | (~trans(X, Y))) | (~always198(X))) <=> ((~trans(X, Y)) | (~always198(X)) | always198(Y)))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18399,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((always198(Y) | (~trans(X, Y))) | (~always198(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18398])).
% 12.85/13.07 tff(18400,axiom,(![Y: $i, X: $i] : ((always198(Y) | (~trans(X, Y))) | (~always198(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty44')).
% 12.85/13.07 tff(18401,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 12.85/13.07 tff(18402,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18401, 18397])).
% 12.85/13.07 tff(18403,plain,(
% 12.85/13.07 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(skolemize,[status(sab)],[18402])).
% 12.85/13.07 tff(18404,plain,
% 12.85/13.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18403, 18396])).
% 12.85/13.07 tff(18405,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (always198(s9) | (~trans(s8, s9)) | (~always198(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18406,plain,
% 12.85/13.07 (((~trans(s8, s9)) | (~always198(s8)) | always198(s9)) <=> (always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18407,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (always198(s9) | (~trans(s8, s9)) | (~always198(s8))))),
% 12.85/13.07 inference(monotonicity,[status(thm)],[18406])).
% 12.85/13.07 tff(18408,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.85/13.07 inference(transitivity,[status(thm)],[18407, 18405])).
% 12.85/13.07 tff(18409,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18410,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18409, 18408])).
% 12.85/13.07 tff(18411,plain,
% 12.85/13.07 (always198(s9) | (~always198(s8))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18410, 18404, 5508])).
% 12.85/13.07 tff(18412,plain,
% 12.85/13.07 (~always198(s8)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18411, 18394])).
% 12.85/13.07 tff(18413,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s7, s8)) | (~always198(s7)) | always198(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s7, s8)) | (~always198(s7)) | always198(s8))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18414,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s7, s8)) | (~always198(s7)) | always198(s8))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18415,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s7, s8)) | (~always198(s7)) | always198(s8)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 12.85/13.07 tff(18416,plain,
% 12.85/13.07 ((~always198(s7)) | always198(s8)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18415, 18404, 5304])).
% 12.85/13.07 tff(18417,plain,
% 12.85/13.07 (~always198(s7)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18416, 18412])).
% 12.85/13.07 tff(18418,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s6, s7)) | (~always198(s6)) | always198(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s6, s7)) | (~always198(s6)) | always198(s7))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18419,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s6, s7)) | (~always198(s6)) | always198(s7))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18420,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s6, s7)) | (~always198(s6)) | always198(s7)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 12.85/13.07 tff(18421,plain,
% 12.85/13.07 ((~always198(s6)) | always198(s7)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18420, 18404, 5162])).
% 12.85/13.07 tff(18422,plain,
% 12.85/13.07 (~always198(s6)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18421, 18417])).
% 12.85/13.07 tff(18423,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s5, s6)) | (~always198(s5)) | always198(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s5, s6)) | (~always198(s5)) | always198(s6))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18424,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s5, s6)) | (~always198(s5)) | always198(s6))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18425,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s5, s6)) | (~always198(s5)) | always198(s6)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 12.85/13.07 tff(18426,plain,
% 12.85/13.07 ((~always198(s5)) | always198(s6)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18425, 18404, 15])).
% 12.85/13.07 tff(18427,plain,
% 12.85/13.07 (~always198(s5)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18426, 18422])).
% 12.85/13.07 tff(18428,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s4, s5)) | (~always198(s4)) | always198(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s4, s5)) | (~always198(s4)) | always198(s5))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18429,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s4, s5)) | (~always198(s4)) | always198(s5))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18430,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s4, s5)) | (~always198(s4)) | always198(s5)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 12.85/13.07 tff(18431,plain,
% 12.85/13.07 ((~always198(s4)) | always198(s5)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18430, 18404, 4253])).
% 12.85/13.07 tff(18432,plain,
% 12.85/13.07 (~always198(s4)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18431, 18427])).
% 12.85/13.07 tff(18433,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s3, s4)) | (~always198(s3)) | always198(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s3, s4)) | (~always198(s3)) | always198(s4))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18434,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s3, s4)) | (~always198(s3)) | always198(s4))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18435,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s3, s4)) | (~always198(s3)) | always198(s4)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 12.85/13.07 tff(18436,plain,
% 12.85/13.07 ((~always198(s3)) | always198(s4)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18435, 18404, 1179])).
% 12.85/13.07 tff(18437,plain,
% 12.85/13.07 (~always198(s3)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18436, 18432])).
% 12.85/13.07 tff(18438,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s2, s3)) | (~always198(s2)) | always198(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s2, s3)) | (~always198(s2)) | always198(s3))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18439,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s2, s3)) | (~always198(s2)) | always198(s3))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18440,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s2, s3)) | (~always198(s2)) | always198(s3)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18439, 18438])).
% 12.85/13.07 tff(18441,plain,
% 12.85/13.07 ((~always198(s2)) | always198(s3)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18440, 18404, 794])).
% 12.85/13.07 tff(18442,plain,
% 12.85/13.07 (~always198(s2)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18441, 18437])).
% 12.85/13.07 tff(18443,plain,
% 12.85/13.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s1, s2)) | (~always198(s1)) | always198(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s1, s2)) | (~always198(s1)) | always198(s2))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18444,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s1, s2)) | (~always198(s1)) | always198(s2))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18445,plain,
% 12.85/13.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s1, s2)) | (~always198(s1)) | always198(s2)),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 12.85/13.07 tff(18446,plain,
% 12.85/13.07 ((~always198(s1)) | always198(s2)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18445, 18404, 226])).
% 12.85/13.07 tff(18447,plain,
% 12.85/13.07 (~always198(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18446, 18442])).
% 12.85/13.07 tff(18448,plain,
% 12.85/13.07 (^[X: $i] : refl((always198(X) | (~node199(X))) <=> (always198(X) | (~node199(X))))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18449,plain,
% 12.85/13.07 (![X: $i] : (always198(X) | (~node199(X))) <=> ![X: $i] : (always198(X) | (~node199(X)))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18448])).
% 12.85/13.07 tff(18450,plain,
% 12.85/13.07 (![X: $i] : (always198(X) | (~node199(X))) <=> ![X: $i] : (always198(X) | (~node199(X)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18451,axiom,(![X: $i] : (always198(X) | (~node199(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty48')).
% 12.85/13.07 tff(18452,plain,
% 12.85/13.07 (![X: $i] : (always198(X) | (~node199(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18451, 18450])).
% 12.85/13.07 tff(18453,plain,(
% 12.85/13.07 ![X: $i] : (always198(X) | (~node199(X)))),
% 12.85/13.07 inference(skolemize,[status(sab)],[18452])).
% 12.85/13.07 tff(18454,plain,
% 12.85/13.07 (![X: $i] : (always198(X) | (~node199(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18453, 18449])).
% 12.85/13.07 tff(18455,plain,
% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s1) | (~node199(s1)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s1) | (~node199(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18456,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s1) | (~node199(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18457,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s1) | (~node199(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 12.85/13.07 tff(18458,plain,
% 12.85/13.07 (~node199(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18457, 18454, 18447])).
% 12.85/13.07 tff(18459,plain,
% 12.85/13.07 (^[X: $i] : refl((node199(X) | until251(X) | (~node255(X))) <=> (node199(X) | until251(X) | (~node255(X))))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18460,plain,
% 12.85/13.07 (![X: $i] : (node199(X) | until251(X) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18459])).
% 12.85/13.07 tff(18461,plain,
% 12.85/13.07 (![X: $i] : (node199(X) | until251(X) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18462,plain,
% 12.85/13.07 (^[X: $i] : rewrite(((node199(X) | until251(X)) | (~node255(X))) <=> (node199(X) | until251(X) | (~node255(X))))),
% 12.85/13.07 inference(bind,[status(th)],[])).
% 12.85/13.07 tff(18463,plain,
% 12.85/13.07 (![X: $i] : ((node199(X) | until251(X)) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(quant_intro,[status(thm)],[18462])).
% 12.85/13.07 tff(18464,axiom,(![X: $i] : ((node199(X) | until251(X)) | (~node255(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty167')).
% 12.85/13.07 tff(18465,plain,
% 12.85/13.07 (![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18464, 18463])).
% 12.85/13.07 tff(18466,plain,
% 12.85/13.07 (![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18465, 18461])).
% 12.85/13.07 tff(18467,plain,(
% 12.85/13.07 ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(skolemize,[status(sab)],[18466])).
% 12.85/13.07 tff(18468,plain,
% 12.85/13.07 (![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18467, 18460])).
% 12.85/13.07 tff(18469,plain,
% 12.85/13.07 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s1) | until251(s1) | (~node255(s1)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s1) | until251(s1) | (~node255(s1)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18470,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s1) | until251(s1) | (~node255(s1)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18471,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s1) | until251(s1) | (~node255(s1))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18470, 18469])).
% 12.85/13.07 tff(18472,plain,
% 12.85/13.07 (until251(s1) | (~node255(s1))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18471, 18468, 18458])).
% 12.85/13.07 tff(18473,plain,
% 12.85/13.07 (~node255(s1)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18472, 18379])).
% 12.85/13.07 tff(18474,plain,
% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s2) | (~node199(s2)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s2) | (~node199(s2)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18475,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s2) | (~node199(s2)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18476,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s2) | (~node199(s2))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 12.85/13.07 tff(18477,plain,
% 12.85/13.07 (~node199(s2)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18476, 18454, 18442])).
% 12.85/13.07 tff(18478,plain,
% 12.85/13.07 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s2) | until251(s2) | (~node255(s2)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s2) | until251(s2) | (~node255(s2)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18479,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s2) | until251(s2) | (~node255(s2)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18480,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s2) | until251(s2) | (~node255(s2))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18479, 18478])).
% 12.85/13.07 tff(18481,plain,
% 12.85/13.07 (until251(s2) | (~node255(s2))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18480, 18468, 18477])).
% 12.85/13.07 tff(18482,plain,
% 12.85/13.07 (~node255(s2)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18481, 18168])).
% 12.85/13.07 tff(18483,plain,
% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s3) | (~node199(s3)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s3) | (~node199(s3)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18484,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s3) | (~node199(s3)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18485,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s3) | (~node199(s3))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 12.85/13.07 tff(18486,plain,
% 12.85/13.07 (~node199(s3)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18485, 18454, 18437])).
% 12.85/13.07 tff(18487,plain,
% 12.85/13.07 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s3) | until251(s3) | (~node255(s3)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s3) | until251(s3) | (~node255(s3)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18488,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s3) | until251(s3) | (~node255(s3)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18489,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s3) | until251(s3) | (~node255(s3))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18488, 18487])).
% 12.85/13.07 tff(18490,plain,
% 12.85/13.07 (until251(s3) | (~node255(s3))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18489, 18468, 18486])).
% 12.85/13.07 tff(18491,plain,
% 12.85/13.07 (~node255(s3)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18490, 18156])).
% 12.85/13.07 tff(18492,plain,
% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s4) | (~node199(s4)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s4) | (~node199(s4)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18493,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s4) | (~node199(s4)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18494,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s4) | (~node199(s4))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18493, 18492])).
% 12.85/13.07 tff(18495,plain,
% 12.85/13.07 (~node199(s4)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18494, 18454, 18432])).
% 12.85/13.07 tff(18496,plain,
% 12.85/13.07 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s4) | until251(s4) | (~node255(s4)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s4) | until251(s4) | (~node255(s4)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18497,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s4) | until251(s4) | (~node255(s4)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18498,plain,
% 12.85/13.07 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s4) | until251(s4) | (~node255(s4))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18497, 18496])).
% 12.85/13.07 tff(18499,plain,
% 12.85/13.07 (until251(s4) | (~node255(s4))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18498, 18468, 18495])).
% 12.85/13.07 tff(18500,plain,
% 12.85/13.07 (~node255(s4)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18499, 18143])).
% 12.85/13.07 tff(18501,plain,
% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s5) | (~node199(s5)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s5) | (~node199(s5)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
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% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s5) | (~node199(s5)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18503,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s5) | (~node199(s5))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18502, 18501])).
% 12.85/13.07 tff(18504,plain,
% 12.85/13.07 (~node199(s5)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18503, 18454, 18427])).
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% 12.85/13.07 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s5) | until251(s5) | (~node255(s5)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s5) | until251(s5) | (~node255(s5)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
% 12.85/13.07 tff(18506,plain,
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% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18507,plain,
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% 12.85/13.07 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 12.85/13.07 tff(18508,plain,
% 12.85/13.07 (until251(s5) | (~node255(s5))),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18507, 18468, 18504])).
% 12.85/13.07 tff(18509,plain,
% 12.85/13.07 (~node255(s5)),
% 12.85/13.07 inference(unit_resolution,[status(thm)],[18508, 18130])).
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% 12.85/13.07 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s6) | (~node199(s6)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s6) | (~node199(s6)))),
% 12.85/13.07 inference(rewrite,[status(thm)],[])).
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% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s6) | (~node199(s6)))),
% 12.85/13.07 inference(quant_inst,[status(thm)],[])).
% 12.85/13.07 tff(18512,plain,
% 12.85/13.07 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s6) | (~node199(s6))),
% 12.85/13.07 inference(modus_ponens,[status(thm)],[18511, 18510])).
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% 12.85/13.07 inference(unit_resolution,[status(thm)],[18512, 18454, 18422])).
% 12.85/13.07 tff(18514,plain,
% 12.85/13.08 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s6) | until251(s6) | (~node255(s6)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s6) | until251(s6) | (~node255(s6)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18515,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s6) | until251(s6) | (~node255(s6)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18516,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s6) | until251(s6) | (~node255(s6))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 12.85/13.08 tff(18517,plain,
% 12.85/13.08 (until251(s6) | (~node255(s6))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18516, 18468, 18513])).
% 12.85/13.08 tff(18518,plain,
% 12.85/13.08 (~node255(s6)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18517, 18117])).
% 12.85/13.08 tff(18519,plain,
% 12.85/13.08 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s7) | (~node199(s7)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s7) | (~node199(s7)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18520,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s7) | (~node199(s7)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18521,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s7) | (~node199(s7))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 12.85/13.08 tff(18522,plain,
% 12.85/13.08 (~node199(s7)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18521, 18454, 18417])).
% 12.85/13.08 tff(18523,plain,
% 12.85/13.08 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s7) | until251(s7) | (~node255(s7)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s7) | until251(s7) | (~node255(s7)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18524,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s7) | until251(s7) | (~node255(s7)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18525,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s7) | until251(s7) | (~node255(s7))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 12.85/13.08 tff(18526,plain,
% 12.85/13.08 (until251(s7) | (~node255(s7))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18525, 18468, 18522])).
% 12.85/13.08 tff(18527,plain,
% 12.85/13.08 (~node255(s7)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18526, 18104])).
% 12.85/13.08 tff(18528,plain,
% 12.85/13.08 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s8) | (~node199(s8)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s8) | (~node199(s8)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18529,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s8) | (~node199(s8)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18530,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s8) | (~node199(s8))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18529, 18528])).
% 12.85/13.08 tff(18531,plain,
% 12.85/13.08 (~node199(s8)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18530, 18454, 18412])).
% 12.85/13.08 tff(18532,plain,
% 12.85/13.08 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s8) | until251(s8) | (~node255(s8)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s8) | until251(s8) | (~node255(s8)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18533,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s8) | until251(s8) | (~node255(s8)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18534,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s8) | until251(s8) | (~node255(s8))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 12.85/13.08 tff(18535,plain,
% 12.85/13.08 (until251(s8) | (~node255(s8))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18534, 18468, 18531])).
% 12.85/13.08 tff(18536,plain,
% 12.85/13.08 (~node255(s8)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18535, 18091])).
% 12.85/13.08 tff(18537,plain,
% 12.85/13.08 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s9) | (~node199(s9)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s9) | (~node199(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18538,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s9) | (~node199(s9)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18539,plain,
% 12.85/13.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s9) | (~node199(s9))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 12.85/13.08 tff(18540,plain,
% 12.85/13.08 (~node199(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18539, 18454, 18394])).
% 12.85/13.08 tff(18541,plain,
% 12.85/13.08 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s9) | until251(s9) | (~node255(s9)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s9) | until251(s9) | (~node255(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18542,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s9) | until251(s9) | (~node255(s9)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18543,plain,
% 12.85/13.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s9) | until251(s9) | (~node255(s9))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18542, 18541])).
% 12.85/13.08 tff(18544,plain,
% 12.85/13.08 (until251(s9) | (~node255(s9))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18543, 18468, 18540])).
% 12.85/13.08 tff(18545,plain,
% 12.85/13.08 (~node255(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18544, 18068])).
% 12.85/13.08 tff(18546,plain,
% 12.85/13.08 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil257(X))) <=> (loop | (~last(X)) | (~xuntil257(X))))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18547,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~xuntil257(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18546])).
% 12.85/13.08 tff(18548,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~xuntil257(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18549,plain,
% 12.85/13.08 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil257(X))) <=> (loop | (~last(X)) | (~xuntil257(X))))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18550,plain,
% 12.85/13.08 (![X: $i] : ((loop | (~last(X))) | (~xuntil257(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18549])).
% 12.85/13.08 tff(18551,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil257(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty170')).
% 12.85/13.08 tff(18552,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 12.85/13.08 tff(18553,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18552, 18548])).
% 12.85/13.08 tff(18554,plain,(
% 12.85/13.08 ![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(skolemize,[status(sab)],[18553])).
% 12.85/13.08 tff(18555,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18554, 18547])).
% 12.85/13.08 tff(18556,plain,
% 12.85/13.08 (((~![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))) | (loop | (~last(s9)) | (~xuntil257(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))) | loop | (~last(s9)) | (~xuntil257(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18557,plain,
% 12.85/13.08 ((~![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))) | (loop | (~last(s9)) | (~xuntil257(s9)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18558,plain,
% 12.85/13.08 ((~![X: $i] : (loop | (~last(X)) | (~xuntil257(X)))) | loop | (~last(s9)) | (~xuntil257(s9))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 12.85/13.08 tff(18559,plain,
% 12.85/13.08 (loop | (~xuntil257(s9))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18558, 15950, 18555])).
% 12.85/13.08 tff(18560,plain,
% 12.85/13.08 (~xuntil257(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18559, 15937])).
% 12.85/13.08 tff(18561,plain,
% 12.85/13.08 (^[X: $i] : refl((node255(X) | (~until256(X)) | xuntil257(X)) <=> (node255(X) | (~until256(X)) | xuntil257(X)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18562,plain,
% 12.85/13.08 (![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X)) <=> ![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18561])).
% 12.85/13.08 tff(18563,plain,
% 12.85/13.08 (![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X)) <=> ![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18564,plain,
% 12.85/13.08 (^[X: $i] : rewrite(((node255(X) | xuntil257(X)) | (~until256(X))) <=> (node255(X) | (~until256(X)) | xuntil257(X)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18565,plain,
% 12.85/13.08 (![X: $i] : ((node255(X) | xuntil257(X)) | (~until256(X))) <=> ![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18564])).
% 12.85/13.08 tff(18566,axiom,(![X: $i] : ((node255(X) | xuntil257(X)) | (~until256(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty168')).
% 12.85/13.08 tff(18567,plain,
% 12.85/13.08 (![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 12.85/13.08 tff(18568,plain,
% 12.85/13.08 (![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18567, 18563])).
% 12.85/13.08 tff(18569,plain,(
% 12.85/13.08 ![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(skolemize,[status(sab)],[18568])).
% 12.85/13.08 tff(18570,plain,
% 12.85/13.08 (![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18569, 18562])).
% 12.85/13.08 tff(18571,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s9) | node255(s9) | (~until256(s9)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s9) | node255(s9) | (~until256(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18572,plain,
% 12.85/13.08 ((node255(s9) | (~until256(s9)) | xuntil257(s9)) <=> (xuntil257(s9) | node255(s9) | (~until256(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18573,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s9) | (~until256(s9)) | xuntil257(s9))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s9) | node255(s9) | (~until256(s9))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18572])).
% 12.85/13.08 tff(18574,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s9) | (~until256(s9)) | xuntil257(s9))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s9) | node255(s9) | (~until256(s9)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18573, 18571])).
% 12.85/13.08 tff(18575,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s9) | (~until256(s9)) | xuntil257(s9))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18576,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s9) | node255(s9) | (~until256(s9))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18575, 18574])).
% 12.85/13.08 tff(18577,plain,
% 12.85/13.08 (node255(s9) | (~until256(s9))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18576, 18570, 18560])).
% 12.85/13.08 tff(18578,plain,
% 12.85/13.08 (~until256(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18577, 18545])).
% 12.85/13.08 tff(18579,plain,
% 12.85/13.08 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil257(X)) | until256(Y)) <=> ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18580,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18579])).
% 12.85/13.08 tff(18581,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18582,plain,
% 12.85/13.08 (^[Y: $i, X: $i] : rewrite(((until256(Y) | (~succ(X, Y))) | (~xuntil257(X))) <=> ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18583,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((until256(Y) | (~succ(X, Y))) | (~xuntil257(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18582])).
% 12.85/13.08 tff(18584,axiom,(![Y: $i, X: $i] : ((until256(Y) | (~succ(X, Y))) | (~xuntil257(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty169')).
% 12.85/13.08 tff(18585,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18584, 18583])).
% 12.85/13.08 tff(18586,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18585, 18581])).
% 12.85/13.08 tff(18587,plain,(
% 12.85/13.08 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(skolemize,[status(sab)],[18586])).
% 12.85/13.08 tff(18588,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18587, 18580])).
% 12.85/13.08 tff(18589,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s8, s9)) | (~xuntil257(s8)) | until256(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s8, s9)) | (~xuntil257(s8)) | until256(s9))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18590,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s8, s9)) | (~xuntil257(s8)) | until256(s9))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18591,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s8, s9)) | (~xuntil257(s8)) | until256(s9)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 12.85/13.08 tff(18592,plain,
% 12.85/13.08 ((~xuntil257(s8)) | until256(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18591, 5504, 18588])).
% 12.85/13.08 tff(18593,plain,
% 12.85/13.08 (~xuntil257(s8)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18592, 18578])).
% 12.85/13.08 tff(18594,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s8) | node255(s8) | (~until256(s8)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s8) | node255(s8) | (~until256(s8)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18595,plain,
% 12.85/13.08 ((node255(s8) | (~until256(s8)) | xuntil257(s8)) <=> (xuntil257(s8) | node255(s8) | (~until256(s8)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18596,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s8) | (~until256(s8)) | xuntil257(s8))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s8) | node255(s8) | (~until256(s8))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18595])).
% 12.85/13.08 tff(18597,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s8) | (~until256(s8)) | xuntil257(s8))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s8) | node255(s8) | (~until256(s8)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18596, 18594])).
% 12.85/13.08 tff(18598,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s8) | (~until256(s8)) | xuntil257(s8))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18599,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s8) | node255(s8) | (~until256(s8))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18598, 18597])).
% 12.85/13.08 tff(18600,plain,
% 12.85/13.08 (node255(s8) | (~until256(s8))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18599, 18570, 18593])).
% 12.85/13.08 tff(18601,plain,
% 12.85/13.08 (~until256(s8)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18600, 18536])).
% 12.85/13.08 tff(18602,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18603,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18604,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18603, 18602])).
% 12.85/13.08 tff(18605,plain,
% 12.85/13.08 ((~xuntil257(s7)) | until256(s8)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18604, 5300, 18588])).
% 12.85/13.08 tff(18606,plain,
% 12.85/13.08 (~xuntil257(s7)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18605, 18601])).
% 12.85/13.08 tff(18607,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s7) | node255(s7) | (~until256(s7)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18608,plain,
% 12.85/13.08 ((node255(s7) | (~until256(s7)) | xuntil257(s7)) <=> (xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18609,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s7) | node255(s7) | (~until256(s7))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18608])).
% 12.85/13.08 tff(18610,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18609, 18607])).
% 12.85/13.08 tff(18611,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18612,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 12.85/13.08 tff(18613,plain,
% 12.85/13.08 (node255(s7) | (~until256(s7))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18612, 18570, 18606])).
% 12.85/13.08 tff(18614,plain,
% 12.85/13.08 (~until256(s7)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18613, 18527])).
% 12.85/13.08 tff(18615,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18616,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18617,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 12.85/13.08 tff(18618,plain,
% 12.85/13.08 ((~xuntil257(s6)) | until256(s7)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18617, 5158, 18588])).
% 12.85/13.08 tff(18619,plain,
% 12.85/13.08 (~xuntil257(s6)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18618, 18614])).
% 12.85/13.08 tff(18620,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s6) | node255(s6) | (~until256(s6)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18621,plain,
% 12.85/13.08 ((node255(s6) | (~until256(s6)) | xuntil257(s6)) <=> (xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18622,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s6) | node255(s6) | (~until256(s6))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18621])).
% 12.85/13.08 tff(18623,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18622, 18620])).
% 12.85/13.08 tff(18624,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18625,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 12.85/13.08 tff(18626,plain,
% 12.85/13.08 (node255(s6) | (~until256(s6))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18625, 18570, 18619])).
% 12.85/13.08 tff(18627,plain,
% 12.85/13.08 (~until256(s6)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18626, 18518])).
% 12.85/13.08 tff(18628,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18629,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18630,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18629, 18628])).
% 12.85/13.08 tff(18631,plain,
% 12.85/13.08 ((~xuntil257(s5)) | until256(s6)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18630, 11, 18588])).
% 12.85/13.08 tff(18632,plain,
% 12.85/13.08 (~xuntil257(s5)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18631, 18627])).
% 12.85/13.08 tff(18633,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s5) | node255(s5) | (~until256(s5)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18634,plain,
% 12.85/13.08 ((node255(s5) | (~until256(s5)) | xuntil257(s5)) <=> (xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18635,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s5) | node255(s5) | (~until256(s5))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18634])).
% 12.85/13.08 tff(18636,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18635, 18633])).
% 12.85/13.08 tff(18637,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18638,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 12.85/13.08 tff(18639,plain,
% 12.85/13.08 (node255(s5) | (~until256(s5))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18638, 18570, 18632])).
% 12.85/13.08 tff(18640,plain,
% 12.85/13.08 (~until256(s5)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18639, 18509])).
% 12.85/13.08 tff(18641,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18642,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18643,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 12.85/13.08 tff(18644,plain,
% 12.85/13.08 ((~xuntil257(s4)) | until256(s5)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18643, 4249, 18588])).
% 12.85/13.08 tff(18645,plain,
% 12.85/13.08 (~xuntil257(s4)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18644, 18640])).
% 12.85/13.08 tff(18646,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s4) | node255(s4) | (~until256(s4)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18647,plain,
% 12.85/13.08 ((node255(s4) | (~until256(s4)) | xuntil257(s4)) <=> (xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18648,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s4) | node255(s4) | (~until256(s4))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18647])).
% 12.85/13.08 tff(18649,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18648, 18646])).
% 12.85/13.08 tff(18650,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18651,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 12.85/13.08 tff(18652,plain,
% 12.85/13.08 (node255(s4) | (~until256(s4))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18651, 18570, 18645])).
% 12.85/13.08 tff(18653,plain,
% 12.85/13.08 (~until256(s4)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18652, 18500])).
% 12.85/13.08 tff(18654,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18655,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18656,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 12.85/13.08 tff(18657,plain,
% 12.85/13.08 ((~xuntil257(s3)) | until256(s4)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18656, 1175, 18588])).
% 12.85/13.08 tff(18658,plain,
% 12.85/13.08 (~xuntil257(s3)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18657, 18653])).
% 12.85/13.08 tff(18659,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s3) | node255(s3) | (~until256(s3)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18660,plain,
% 12.85/13.08 ((node255(s3) | (~until256(s3)) | xuntil257(s3)) <=> (xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18661,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s3) | (~until256(s3)) | xuntil257(s3))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s3) | node255(s3) | (~until256(s3))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18660])).
% 12.85/13.08 tff(18662,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s3) | (~until256(s3)) | xuntil257(s3))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18661, 18659])).
% 12.85/13.08 tff(18663,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s3) | (~until256(s3)) | xuntil257(s3))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18664,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 12.85/13.08 tff(18665,plain,
% 12.85/13.08 (node255(s3) | (~until256(s3))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18664, 18570, 18658])).
% 12.85/13.08 tff(18666,plain,
% 12.85/13.08 (~until256(s3)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18665, 18491])).
% 12.85/13.08 tff(18667,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18668,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18669,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 12.85/13.08 tff(18670,plain,
% 12.85/13.08 ((~xuntil257(s2)) | until256(s3)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18669, 790, 18588])).
% 12.85/13.08 tff(18671,plain,
% 12.85/13.08 (~xuntil257(s2)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18670, 18666])).
% 12.85/13.08 tff(18672,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s2) | node255(s2) | (~until256(s2)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18673,plain,
% 12.85/13.08 ((node255(s2) | (~until256(s2)) | xuntil257(s2)) <=> (xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18674,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s2) | node255(s2) | (~until256(s2))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18673])).
% 12.85/13.08 tff(18675,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18674, 18672])).
% 12.85/13.08 tff(18676,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18677,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 12.85/13.08 tff(18678,plain,
% 12.85/13.08 (node255(s2) | (~until256(s2))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18677, 18570, 18671])).
% 12.85/13.08 tff(18679,plain,
% 12.85/13.08 (~until256(s2)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18678, 18482])).
% 12.85/13.08 tff(18680,plain,
% 12.85/13.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18681,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18682,plain,
% 12.85/13.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2)),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18681, 18680])).
% 12.85/13.08 tff(18683,plain,
% 12.85/13.08 ((~xuntil257(s1)) | until256(s2)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18682, 222, 18588])).
% 12.85/13.08 tff(18684,plain,
% 12.85/13.08 (~xuntil257(s1)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18683, 18679])).
% 12.85/13.08 tff(18685,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s1) | node255(s1) | (~until256(s1)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18686,plain,
% 12.85/13.08 ((node255(s1) | (~until256(s1)) | xuntil257(s1)) <=> (xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18687,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s1) | node255(s1) | (~until256(s1))))),
% 12.85/13.08 inference(monotonicity,[status(thm)],[18686])).
% 12.85/13.08 tff(18688,plain,
% 12.85/13.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.85/13.08 inference(transitivity,[status(thm)],[18687, 18685])).
% 12.85/13.08 tff(18689,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18690,plain,
% 12.85/13.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 12.85/13.08 tff(18691,plain,
% 12.85/13.08 (~until256(s1)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18690, 18570, 18684, 18473])).
% 12.85/13.08 tff(18692,plain,
% 12.85/13.08 (^[X: $i] : refl((loop | (~last(X)) | (~always196(X))) <=> (loop | (~last(X)) | (~always196(X))))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18693,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~always196(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18692])).
% 12.85/13.08 tff(18694,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~always196(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18695,plain,
% 12.85/13.08 (^[X: $i] : rewrite(((loop | (~always196(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always196(X))))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18696,plain,
% 12.85/13.08 (![X: $i] : ((loop | (~always196(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18695])).
% 12.85/13.08 tff(18697,axiom,(![X: $i] : ((loop | (~always196(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty38')).
% 12.85/13.08 tff(18698,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 12.85/13.08 tff(18699,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18698, 18694])).
% 12.85/13.08 tff(18700,plain,(
% 12.85/13.08 ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(skolemize,[status(sab)],[18699])).
% 12.85/13.08 tff(18701,plain,
% 12.85/13.08 (![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18700, 18693])).
% 12.85/13.08 tff(18702,plain,
% 12.85/13.08 (((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | (loop | (~last(s9)) | (~always196(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | loop | (~last(s9)) | (~always196(s9)))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18703,plain,
% 12.85/13.08 ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | (loop | (~last(s9)) | (~always196(s9)))),
% 12.85/13.08 inference(quant_inst,[status(thm)],[])).
% 12.85/13.08 tff(18704,plain,
% 12.85/13.08 ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | loop | (~last(s9)) | (~always196(s9))),
% 12.85/13.08 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 12.85/13.08 tff(18705,plain,
% 12.85/13.08 (loop | (~always196(s9))),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18704, 15950, 18701])).
% 12.85/13.08 tff(18706,plain,
% 12.85/13.08 (~always196(s9)),
% 12.85/13.08 inference(unit_resolution,[status(thm)],[18705, 15937])).
% 12.85/13.08 tff(18707,plain,
% 12.85/13.08 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ((~trans(X, Y)) | (~always196(X)) | always196(Y)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18708,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18707])).
% 12.85/13.08 tff(18709,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.08 inference(rewrite,[status(thm)],[])).
% 12.85/13.08 tff(18710,plain,
% 12.85/13.08 (^[Y: $i, X: $i] : rewrite(((always196(Y) | (~trans(X, Y))) | (~always196(X))) <=> ((~trans(X, Y)) | (~always196(X)) | always196(Y)))),
% 12.85/13.08 inference(bind,[status(th)],[])).
% 12.85/13.08 tff(18711,plain,
% 12.85/13.08 (![Y: $i, X: $i] : ((always196(Y) | (~trans(X, Y))) | (~always196(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.08 inference(quant_intro,[status(thm)],[18710])).
% 12.85/13.08 tff(18712,axiom,(![Y: $i, X: $i] : ((always196(Y) | (~trans(X, Y))) | (~always196(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty37')).
% 12.85/13.09 tff(18713,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18712, 18711])).
% 12.85/13.09 tff(18714,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18713, 18709])).
% 12.85/13.09 tff(18715,plain,(
% 12.85/13.09 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18714])).
% 12.85/13.09 tff(18716,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18715, 18708])).
% 12.85/13.09 tff(18717,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (always196(s9) | (~trans(s8, s9)) | (~always196(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18718,plain,
% 12.85/13.09 (((~trans(s8, s9)) | (~always196(s8)) | always196(s9)) <=> (always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18719,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s8, s9)) | (~always196(s8)) | always196(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (always196(s9) | (~trans(s8, s9)) | (~always196(s8))))),
% 12.85/13.09 inference(monotonicity,[status(thm)],[18718])).
% 12.85/13.09 tff(18720,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s8, s9)) | (~always196(s8)) | always196(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.85/13.09 inference(transitivity,[status(thm)],[18719, 18717])).
% 12.85/13.09 tff(18721,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s8, s9)) | (~always196(s8)) | always196(s9))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18722,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 12.85/13.09 tff(18723,plain,
% 12.85/13.09 (always196(s9) | (~always196(s8))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18722, 18716, 5508])).
% 12.85/13.09 tff(18724,plain,
% 12.85/13.09 (~always196(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18723, 18706])).
% 12.85/13.09 tff(18725,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s7, s8)) | (~always196(s7)) | always196(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s7, s8)) | (~always196(s7)) | always196(s8))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18726,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s7, s8)) | (~always196(s7)) | always196(s8))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18727,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s7, s8)) | (~always196(s7)) | always196(s8)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18726, 18725])).
% 12.85/13.09 tff(18728,plain,
% 12.85/13.09 ((~always196(s7)) | always196(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18727, 18716, 5304])).
% 12.85/13.09 tff(18729,plain,
% 12.85/13.09 (~always196(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18728, 18724])).
% 12.85/13.09 tff(18730,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s6, s7)) | (~always196(s6)) | always196(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s6, s7)) | (~always196(s6)) | always196(s7))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18731,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s6, s7)) | (~always196(s6)) | always196(s7))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18732,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s6, s7)) | (~always196(s6)) | always196(s7)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18731, 18730])).
% 12.85/13.09 tff(18733,plain,
% 12.85/13.09 ((~always196(s6)) | always196(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18732, 18716, 5162])).
% 12.85/13.09 tff(18734,plain,
% 12.85/13.09 (~always196(s6)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18733, 18729])).
% 12.85/13.09 tff(18735,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s5, s6)) | (~always196(s5)) | always196(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s5, s6)) | (~always196(s5)) | always196(s6))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18736,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s5, s6)) | (~always196(s5)) | always196(s6))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18737,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s5, s6)) | (~always196(s5)) | always196(s6)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18736, 18735])).
% 12.85/13.09 tff(18738,plain,
% 12.85/13.09 ((~always196(s5)) | always196(s6)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18737, 18716, 15])).
% 12.85/13.09 tff(18739,plain,
% 12.85/13.09 (~always196(s5)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18738, 18734])).
% 12.85/13.09 tff(18740,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s4, s5)) | (~always196(s4)) | always196(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s4, s5)) | (~always196(s4)) | always196(s5))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18741,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s4, s5)) | (~always196(s4)) | always196(s5))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18742,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s4, s5)) | (~always196(s4)) | always196(s5)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18741, 18740])).
% 12.85/13.09 tff(18743,plain,
% 12.85/13.09 ((~always196(s4)) | always196(s5)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18742, 18716, 4253])).
% 12.85/13.09 tff(18744,plain,
% 12.85/13.09 (~always196(s4)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18743, 18739])).
% 12.85/13.09 tff(18745,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s3, s4)) | (~always196(s3)) | always196(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s3, s4)) | (~always196(s3)) | always196(s4))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18746,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s3, s4)) | (~always196(s3)) | always196(s4))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18747,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s3, s4)) | (~always196(s3)) | always196(s4)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18746, 18745])).
% 12.85/13.09 tff(18748,plain,
% 12.85/13.09 ((~always196(s3)) | always196(s4)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18747, 18716, 1179])).
% 12.85/13.09 tff(18749,plain,
% 12.85/13.09 (~always196(s3)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18748, 18744])).
% 12.85/13.09 tff(18750,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s2, s3)) | (~always196(s2)) | always196(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s2, s3)) | (~always196(s2)) | always196(s3))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18751,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s2, s3)) | (~always196(s2)) | always196(s3))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18752,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s2, s3)) | (~always196(s2)) | always196(s3)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 12.85/13.09 tff(18753,plain,
% 12.85/13.09 ((~always196(s2)) | always196(s3)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18752, 18716, 794])).
% 12.85/13.09 tff(18754,plain,
% 12.85/13.09 (~always196(s2)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18753, 18749])).
% 12.85/13.09 tff(18755,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s1, s2)) | (~always196(s1)) | always196(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s1, s2)) | (~always196(s1)) | always196(s2))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18756,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s1, s2)) | (~always196(s1)) | always196(s2))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18757,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s1, s2)) | (~always196(s1)) | always196(s2)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18756, 18755])).
% 12.85/13.09 tff(18758,plain,
% 12.85/13.09 ((~always196(s1)) | always196(s2)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18757, 18716, 226])).
% 12.85/13.09 tff(18759,plain,
% 12.85/13.09 (~always196(s1)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18758, 18754])).
% 12.85/13.09 tff(18760,plain,
% 12.85/13.09 (^[X: $i] : refl((always196(X) | (~node197(X))) <=> (always196(X) | (~node197(X))))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18761,plain,
% 12.85/13.09 (![X: $i] : (always196(X) | (~node197(X))) <=> ![X: $i] : (always196(X) | (~node197(X)))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18760])).
% 12.85/13.09 tff(18762,plain,
% 12.85/13.09 (![X: $i] : (always196(X) | (~node197(X))) <=> ![X: $i] : (always196(X) | (~node197(X)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18763,axiom,(![X: $i] : (always196(X) | (~node197(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty42')).
% 12.85/13.09 tff(18764,plain,
% 12.85/13.09 (![X: $i] : (always196(X) | (~node197(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18763, 18762])).
% 12.85/13.09 tff(18765,plain,(
% 12.85/13.09 ![X: $i] : (always196(X) | (~node197(X)))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18764])).
% 12.85/13.09 tff(18766,plain,
% 12.85/13.09 (![X: $i] : (always196(X) | (~node197(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18765, 18761])).
% 12.85/13.09 tff(18767,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s1) | (~node197(s1)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s1) | (~node197(s1)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18768,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s1) | (~node197(s1)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18769,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s1) | (~node197(s1))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18768, 18767])).
% 12.85/13.09 tff(18770,plain,
% 12.85/13.09 (~node197(s1)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18769, 18766, 18759])).
% 12.85/13.09 tff(18771,plain,
% 12.85/13.09 (^[X: $i] : refl((node197(X) | until256(X) | (~node260(X))) <=> (node197(X) | until256(X) | (~node260(X))))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18772,plain,
% 12.85/13.09 (![X: $i] : (node197(X) | until256(X) | (~node260(X))) <=> ![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18771])).
% 12.85/13.09 tff(18773,plain,
% 12.85/13.09 (![X: $i] : (node197(X) | until256(X) | (~node260(X))) <=> ![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18774,plain,
% 12.85/13.09 (^[X: $i] : rewrite(((node197(X) | until256(X)) | (~node260(X))) <=> (node197(X) | until256(X) | (~node260(X))))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18775,plain,
% 12.85/13.09 (![X: $i] : ((node197(X) | until256(X)) | (~node260(X))) <=> ![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18774])).
% 12.85/13.09 tff(18776,axiom,(![X: $i] : ((node197(X) | until256(X)) | (~node260(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty175')).
% 12.85/13.09 tff(18777,plain,
% 12.85/13.09 (![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 12.85/13.09 tff(18778,plain,
% 12.85/13.09 (![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18777, 18773])).
% 12.85/13.09 tff(18779,plain,(
% 12.85/13.09 ![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18778])).
% 12.85/13.09 tff(18780,plain,
% 12.85/13.09 (![X: $i] : (node197(X) | until256(X) | (~node260(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18779, 18772])).
% 12.85/13.09 tff(18781,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s1) | until256(s1) | (~node260(s1)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s1) | until256(s1) | (~node260(s1)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18782,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s1) | until256(s1) | (~node260(s1)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18783,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s1) | until256(s1) | (~node260(s1))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18782, 18781])).
% 12.85/13.09 tff(18784,plain,
% 12.85/13.09 (until256(s1) | (~node260(s1))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18783, 18780, 18770])).
% 12.85/13.09 tff(18785,plain,
% 12.85/13.09 (~node260(s1)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18784, 18691])).
% 12.85/13.09 tff(18786,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s2) | (~node197(s2)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s2) | (~node197(s2)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18787,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s2) | (~node197(s2)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18788,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s2) | (~node197(s2))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18787, 18786])).
% 12.85/13.09 tff(18789,plain,
% 12.85/13.09 (~node197(s2)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18788, 18766, 18754])).
% 12.85/13.09 tff(18790,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s2) | until256(s2) | (~node260(s2)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s2) | until256(s2) | (~node260(s2)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18791,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s2) | until256(s2) | (~node260(s2)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18792,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s2) | until256(s2) | (~node260(s2))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18791, 18790])).
% 12.85/13.09 tff(18793,plain,
% 12.85/13.09 (until256(s2) | (~node260(s2))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18792, 18780, 18789])).
% 12.85/13.09 tff(18794,plain,
% 12.85/13.09 (~node260(s2)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18793, 18679])).
% 12.85/13.09 tff(18795,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s3) | (~node197(s3)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s3) | (~node197(s3)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18796,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s3) | (~node197(s3)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18797,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s3) | (~node197(s3))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 12.85/13.09 tff(18798,plain,
% 12.85/13.09 (~node197(s3)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18797, 18766, 18749])).
% 12.85/13.09 tff(18799,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s3) | until256(s3) | (~node260(s3)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s3) | until256(s3) | (~node260(s3)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18800,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s3) | until256(s3) | (~node260(s3)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18801,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s3) | until256(s3) | (~node260(s3))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18800, 18799])).
% 12.85/13.09 tff(18802,plain,
% 12.85/13.09 (until256(s3) | (~node260(s3))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18801, 18780, 18798])).
% 12.85/13.09 tff(18803,plain,
% 12.85/13.09 (~node260(s3)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18802, 18666])).
% 12.85/13.09 tff(18804,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s4) | (~node197(s4)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s4) | (~node197(s4)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18805,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s4) | (~node197(s4)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18806,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s4) | (~node197(s4))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18805, 18804])).
% 12.85/13.09 tff(18807,plain,
% 12.85/13.09 (~node197(s4)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18806, 18766, 18744])).
% 12.85/13.09 tff(18808,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s4) | until256(s4) | (~node260(s4)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s4) | until256(s4) | (~node260(s4)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18809,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s4) | until256(s4) | (~node260(s4)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18810,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s4) | until256(s4) | (~node260(s4))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18809, 18808])).
% 12.85/13.09 tff(18811,plain,
% 12.85/13.09 (until256(s4) | (~node260(s4))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18810, 18780, 18807])).
% 12.85/13.09 tff(18812,plain,
% 12.85/13.09 (~node260(s4)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18811, 18653])).
% 12.85/13.09 tff(18813,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s5) | (~node197(s5)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s5) | (~node197(s5)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18814,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s5) | (~node197(s5)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18815,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s5) | (~node197(s5))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18814, 18813])).
% 12.85/13.09 tff(18816,plain,
% 12.85/13.09 (~node197(s5)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18815, 18766, 18739])).
% 12.85/13.09 tff(18817,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s5) | until256(s5) | (~node260(s5)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s5) | until256(s5) | (~node260(s5)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18818,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s5) | until256(s5) | (~node260(s5)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18819,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s5) | until256(s5) | (~node260(s5))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18818, 18817])).
% 12.85/13.09 tff(18820,plain,
% 12.85/13.09 (until256(s5) | (~node260(s5))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18819, 18780, 18816])).
% 12.85/13.09 tff(18821,plain,
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% 12.85/13.09 inference(unit_resolution,[status(thm)],[18820, 18640])).
% 12.85/13.09 tff(18822,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s6) | (~node197(s6)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s6) | (~node197(s6)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18823,plain,
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% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18824,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s6) | (~node197(s6))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18823, 18822])).
% 12.85/13.09 tff(18825,plain,
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% 12.85/13.09 inference(unit_resolution,[status(thm)],[18824, 18766, 18734])).
% 12.85/13.09 tff(18826,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s6) | until256(s6) | (~node260(s6)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s6) | until256(s6) | (~node260(s6)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18827,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s6) | until256(s6) | (~node260(s6)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18828,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s6) | until256(s6) | (~node260(s6))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 12.85/13.09 tff(18829,plain,
% 12.85/13.09 (until256(s6) | (~node260(s6))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18828, 18780, 18825])).
% 12.85/13.09 tff(18830,plain,
% 12.85/13.09 (~node260(s6)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18829, 18627])).
% 12.85/13.09 tff(18831,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s7) | (~node197(s7)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s7) | (~node197(s7)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18832,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s7) | (~node197(s7)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18833,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s7) | (~node197(s7))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18832, 18831])).
% 12.85/13.09 tff(18834,plain,
% 12.85/13.09 (~node197(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18833, 18766, 18729])).
% 12.85/13.09 tff(18835,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s7) | until256(s7) | (~node260(s7)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s7) | until256(s7) | (~node260(s7)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18836,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s7) | until256(s7) | (~node260(s7)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18837,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s7) | until256(s7) | (~node260(s7))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18836, 18835])).
% 12.85/13.09 tff(18838,plain,
% 12.85/13.09 (until256(s7) | (~node260(s7))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18837, 18780, 18834])).
% 12.85/13.09 tff(18839,plain,
% 12.85/13.09 (~node260(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18838, 18614])).
% 12.85/13.09 tff(18840,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s8) | (~node197(s8)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s8) | (~node197(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18841,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s8) | (~node197(s8)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18842,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s8) | (~node197(s8))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18841, 18840])).
% 12.85/13.09 tff(18843,plain,
% 12.85/13.09 (~node197(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18842, 18766, 18724])).
% 12.85/13.09 tff(18844,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s8) | until256(s8) | (~node260(s8)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s8) | until256(s8) | (~node260(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18845,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s8) | until256(s8) | (~node260(s8)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18846,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s8) | until256(s8) | (~node260(s8))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 12.85/13.09 tff(18847,plain,
% 12.85/13.09 (until256(s8) | (~node260(s8))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18846, 18780, 18843])).
% 12.85/13.09 tff(18848,plain,
% 12.85/13.09 (~node260(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18847, 18601])).
% 12.85/13.09 tff(18849,plain,
% 12.85/13.09 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s9) | (~node197(s9)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s9) | (~node197(s9)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18850,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s9) | (~node197(s9)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18851,plain,
% 12.85/13.09 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s9) | (~node197(s9))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18850, 18849])).
% 12.85/13.09 tff(18852,plain,
% 12.85/13.09 (~node197(s9)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18851, 18766, 18706])).
% 12.85/13.09 tff(18853,plain,
% 12.85/13.09 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s9) | until256(s9) | (~node260(s9)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s9) | until256(s9) | (~node260(s9)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18854,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s9) | until256(s9) | (~node260(s9)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18855,plain,
% 12.85/13.09 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s9) | until256(s9) | (~node260(s9))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 12.85/13.09 tff(18856,plain,
% 12.85/13.09 (until256(s9) | (~node260(s9))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18855, 18780, 18852])).
% 12.85/13.09 tff(18857,plain,
% 12.85/13.09 (~node260(s9)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18856, 18578])).
% 12.85/13.09 tff(18858,plain,
% 12.85/13.09 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil262(X))) <=> (loop | (~last(X)) | (~xuntil262(X))))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18859,plain,
% 12.85/13.09 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18858])).
% 12.85/13.09 tff(18860,plain,
% 12.85/13.09 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18861,plain,
% 12.85/13.09 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil262(X))) <=> (loop | (~last(X)) | (~xuntil262(X))))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18862,plain,
% 12.85/13.09 (![X: $i] : ((loop | (~last(X))) | (~xuntil262(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18861])).
% 12.85/13.09 tff(18863,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil262(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty178')).
% 12.85/13.09 tff(18864,plain,
% 12.85/13.09 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18863, 18862])).
% 12.85/13.09 tff(18865,plain,
% 12.85/13.09 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18864, 18860])).
% 12.85/13.09 tff(18866,plain,(
% 12.85/13.09 ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18865])).
% 12.85/13.09 tff(18867,plain,
% 12.85/13.09 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18866, 18859])).
% 12.85/13.09 tff(18868,plain,
% 12.85/13.09 (((~![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))) | (loop | (~last(s9)) | (~xuntil262(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))) | loop | (~last(s9)) | (~xuntil262(s9)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
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% 12.85/13.09 ((~![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))) | (loop | (~last(s9)) | (~xuntil262(s9)))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18870,plain,
% 12.85/13.09 ((~![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))) | loop | (~last(s9)) | (~xuntil262(s9))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 12.85/13.09 tff(18871,plain,
% 12.85/13.09 (loop | (~xuntil262(s9))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18870, 15950, 18867])).
% 12.85/13.09 tff(18872,plain,
% 12.85/13.09 (~xuntil262(s9)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18871, 15937])).
% 12.85/13.09 tff(18873,plain,
% 12.85/13.09 (^[X: $i] : refl((node260(X) | (~until261(X)) | xuntil262(X)) <=> (node260(X) | (~until261(X)) | xuntil262(X)))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18874,plain,
% 12.85/13.09 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X)) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18873])).
% 12.85/13.09 tff(18875,plain,
% 12.85/13.09 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X)) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18876,plain,
% 12.85/13.09 (^[X: $i] : rewrite(((node260(X) | xuntil262(X)) | (~until261(X))) <=> (node260(X) | (~until261(X)) | xuntil262(X)))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18877,plain,
% 12.85/13.09 (![X: $i] : ((node260(X) | xuntil262(X)) | (~until261(X))) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18876])).
% 12.85/13.09 tff(18878,axiom,(![X: $i] : ((node260(X) | xuntil262(X)) | (~until261(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty176')).
% 12.85/13.09 tff(18879,plain,
% 12.85/13.09 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18878, 18877])).
% 12.85/13.09 tff(18880,plain,
% 12.85/13.09 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18879, 18875])).
% 12.85/13.09 tff(18881,plain,(
% 12.85/13.09 ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18880])).
% 12.85/13.09 tff(18882,plain,
% 12.85/13.09 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18881, 18874])).
% 12.85/13.09 tff(18883,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s9) | node260(s9) | (~until261(s9)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18884,plain,
% 12.85/13.09 ((node260(s9) | (~until261(s9)) | xuntil262(s9)) <=> (xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18885,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s9) | (~until261(s9)) | xuntil262(s9))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s9) | node260(s9) | (~until261(s9))))),
% 12.85/13.09 inference(monotonicity,[status(thm)],[18884])).
% 12.85/13.09 tff(18886,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s9) | (~until261(s9)) | xuntil262(s9))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.85/13.09 inference(transitivity,[status(thm)],[18885, 18883])).
% 12.85/13.09 tff(18887,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s9) | (~until261(s9)) | xuntil262(s9))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18888,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 12.85/13.09 tff(18889,plain,
% 12.85/13.09 (node260(s9) | (~until261(s9))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18888, 18882, 18872])).
% 12.85/13.09 tff(18890,plain,
% 12.85/13.09 (~until261(s9)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18889, 18857])).
% 12.85/13.09 tff(18891,plain,
% 12.85/13.09 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)) <=> ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18892,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18891])).
% 12.85/13.09 tff(18893,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18894,plain,
% 12.85/13.09 (^[Y: $i, X: $i] : rewrite(((until261(Y) | (~succ(X, Y))) | (~xuntil262(X))) <=> ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)))),
% 12.85/13.09 inference(bind,[status(th)],[])).
% 12.85/13.09 tff(18895,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((until261(Y) | (~succ(X, Y))) | (~xuntil262(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(quant_intro,[status(thm)],[18894])).
% 12.85/13.09 tff(18896,axiom,(![Y: $i, X: $i] : ((until261(Y) | (~succ(X, Y))) | (~xuntil262(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty177')).
% 12.85/13.09 tff(18897,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18896, 18895])).
% 12.85/13.09 tff(18898,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18897, 18893])).
% 12.85/13.09 tff(18899,plain,(
% 12.85/13.09 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(skolemize,[status(sab)],[18898])).
% 12.85/13.09 tff(18900,plain,
% 12.85/13.09 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18899, 18892])).
% 12.85/13.09 tff(18901,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18902,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18903,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 12.85/13.09 tff(18904,plain,
% 12.85/13.09 ((~xuntil262(s8)) | until261(s9)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18903, 5504, 18900])).
% 12.85/13.09 tff(18905,plain,
% 12.85/13.09 (~xuntil262(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18904, 18890])).
% 12.85/13.09 tff(18906,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s8) | node260(s8) | (~until261(s8)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18907,plain,
% 12.85/13.09 ((node260(s8) | (~until261(s8)) | xuntil262(s8)) <=> (xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18908,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s8) | node260(s8) | (~until261(s8))))),
% 12.85/13.09 inference(monotonicity,[status(thm)],[18907])).
% 12.85/13.09 tff(18909,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.85/13.09 inference(transitivity,[status(thm)],[18908, 18906])).
% 12.85/13.09 tff(18910,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18911,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18910, 18909])).
% 12.85/13.09 tff(18912,plain,
% 12.85/13.09 (node260(s8) | (~until261(s8))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18911, 18882, 18905])).
% 12.85/13.09 tff(18913,plain,
% 12.85/13.09 (~until261(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18912, 18848])).
% 12.85/13.09 tff(18914,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18915,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18916,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 12.85/13.09 tff(18917,plain,
% 12.85/13.09 ((~xuntil262(s7)) | until261(s8)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18916, 5300, 18900])).
% 12.85/13.09 tff(18918,plain,
% 12.85/13.09 (~xuntil262(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18917, 18913])).
% 12.85/13.09 tff(18919,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s7) | node260(s7) | (~until261(s7)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18920,plain,
% 12.85/13.09 ((node260(s7) | (~until261(s7)) | xuntil262(s7)) <=> (xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18921,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s7) | node260(s7) | (~until261(s7))))),
% 12.85/13.09 inference(monotonicity,[status(thm)],[18920])).
% 12.85/13.09 tff(18922,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.85/13.09 inference(transitivity,[status(thm)],[18921, 18919])).
% 12.85/13.09 tff(18923,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18924,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 12.85/13.09 tff(18925,plain,
% 12.85/13.09 (node260(s7) | (~until261(s7))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18924, 18882, 18918])).
% 12.85/13.09 tff(18926,plain,
% 12.85/13.09 (~until261(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18925, 18839])).
% 12.85/13.09 tff(18927,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18928,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18929,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7)),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18928, 18927])).
% 12.85/13.09 tff(18930,plain,
% 12.85/13.09 ((~xuntil262(s6)) | until261(s7)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18929, 5158, 18900])).
% 12.85/13.09 tff(18931,plain,
% 12.85/13.09 (~xuntil262(s6)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18930, 18926])).
% 12.85/13.09 tff(18932,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s6) | node260(s6) | (~until261(s6)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18933,plain,
% 12.85/13.09 ((node260(s6) | (~until261(s6)) | xuntil262(s6)) <=> (xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18934,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s6) | node260(s6) | (~until261(s6))))),
% 12.85/13.09 inference(monotonicity,[status(thm)],[18933])).
% 12.85/13.09 tff(18935,plain,
% 12.85/13.09 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.85/13.09 inference(transitivity,[status(thm)],[18934, 18932])).
% 12.85/13.09 tff(18936,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18937,plain,
% 12.85/13.09 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6))),
% 12.85/13.09 inference(modus_ponens,[status(thm)],[18936, 18935])).
% 12.85/13.09 tff(18938,plain,
% 12.85/13.09 (node260(s6) | (~until261(s6))),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18937, 18882, 18931])).
% 12.85/13.09 tff(18939,plain,
% 12.85/13.09 (~until261(s6)),
% 12.85/13.09 inference(unit_resolution,[status(thm)],[18938, 18830])).
% 12.85/13.09 tff(18940,plain,
% 12.85/13.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))),
% 12.85/13.09 inference(rewrite,[status(thm)],[])).
% 12.85/13.09 tff(18941,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))),
% 12.85/13.09 inference(quant_inst,[status(thm)],[])).
% 12.85/13.09 tff(18942,plain,
% 12.85/13.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6)),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 12.85/13.10 tff(18943,plain,
% 12.85/13.10 ((~xuntil262(s5)) | until261(s6)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18942, 11, 18900])).
% 12.85/13.10 tff(18944,plain,
% 12.85/13.10 (~xuntil262(s5)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18943, 18939])).
% 12.85/13.10 tff(18945,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s5) | node260(s5) | (~until261(s5)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18946,plain,
% 12.85/13.10 ((node260(s5) | (~until261(s5)) | xuntil262(s5)) <=> (xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18947,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s5) | node260(s5) | (~until261(s5))))),
% 12.85/13.10 inference(monotonicity,[status(thm)],[18946])).
% 12.85/13.10 tff(18948,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.85/13.10 inference(transitivity,[status(thm)],[18947, 18945])).
% 12.85/13.10 tff(18949,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18950,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18949, 18948])).
% 12.85/13.10 tff(18951,plain,
% 12.85/13.10 (node260(s5) | (~until261(s5))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18950, 18882, 18944])).
% 12.85/13.10 tff(18952,plain,
% 12.85/13.10 (~until261(s5)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18951, 18821])).
% 12.85/13.10 tff(18953,plain,
% 12.85/13.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18954,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18955,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5)),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 12.85/13.10 tff(18956,plain,
% 12.85/13.10 ((~xuntil262(s4)) | until261(s5)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18955, 4249, 18900])).
% 12.85/13.10 tff(18957,plain,
% 12.85/13.10 (~xuntil262(s4)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18956, 18952])).
% 12.85/13.10 tff(18958,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s4) | node260(s4) | (~until261(s4)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18959,plain,
% 12.85/13.10 ((node260(s4) | (~until261(s4)) | xuntil262(s4)) <=> (xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18960,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s4) | node260(s4) | (~until261(s4))))),
% 12.85/13.10 inference(monotonicity,[status(thm)],[18959])).
% 12.85/13.10 tff(18961,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.85/13.10 inference(transitivity,[status(thm)],[18960, 18958])).
% 12.85/13.10 tff(18962,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18963,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 12.85/13.10 tff(18964,plain,
% 12.85/13.10 (node260(s4) | (~until261(s4))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18963, 18882, 18957])).
% 12.85/13.10 tff(18965,plain,
% 12.85/13.10 (~until261(s4)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18964, 18812])).
% 12.85/13.10 tff(18966,plain,
% 12.85/13.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18967,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18968,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4)),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 12.85/13.10 tff(18969,plain,
% 12.85/13.10 ((~xuntil262(s3)) | until261(s4)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18968, 1175, 18900])).
% 12.85/13.10 tff(18970,plain,
% 12.85/13.10 (~xuntil262(s3)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18969, 18965])).
% 12.85/13.10 tff(18971,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s3) | node260(s3) | (~until261(s3)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18972,plain,
% 12.85/13.10 ((node260(s3) | (~until261(s3)) | xuntil262(s3)) <=> (xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18973,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s3) | node260(s3) | (~until261(s3))))),
% 12.85/13.10 inference(monotonicity,[status(thm)],[18972])).
% 12.85/13.10 tff(18974,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.85/13.10 inference(transitivity,[status(thm)],[18973, 18971])).
% 12.85/13.10 tff(18975,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18976,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18975, 18974])).
% 12.85/13.10 tff(18977,plain,
% 12.85/13.10 (node260(s3) | (~until261(s3))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18976, 18882, 18970])).
% 12.85/13.10 tff(18978,plain,
% 12.85/13.10 (~until261(s3)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18977, 18803])).
% 12.85/13.10 tff(18979,plain,
% 12.85/13.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18980,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18981,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3)),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18980, 18979])).
% 12.85/13.10 tff(18982,plain,
% 12.85/13.10 ((~xuntil262(s2)) | until261(s3)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18981, 790, 18900])).
% 12.85/13.10 tff(18983,plain,
% 12.85/13.10 (~xuntil262(s2)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18982, 18978])).
% 12.85/13.10 tff(18984,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s2) | node260(s2) | (~until261(s2)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18985,plain,
% 12.85/13.10 ((node260(s2) | (~until261(s2)) | xuntil262(s2)) <=> (xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18986,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s2) | node260(s2) | (~until261(s2))))),
% 12.85/13.10 inference(monotonicity,[status(thm)],[18985])).
% 12.85/13.10 tff(18987,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.85/13.10 inference(transitivity,[status(thm)],[18986, 18984])).
% 12.85/13.10 tff(18988,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18989,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18988, 18987])).
% 12.85/13.10 tff(18990,plain,
% 12.85/13.10 (node260(s2) | (~until261(s2))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18989, 18882, 18983])).
% 12.85/13.10 tff(18991,plain,
% 12.85/13.10 (~until261(s2)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18990, 18794])).
% 12.85/13.10 tff(18992,plain,
% 12.85/13.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18993,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(18994,plain,
% 12.85/13.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2)),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[18993, 18992])).
% 12.85/13.10 tff(18995,plain,
% 12.85/13.10 ((~xuntil262(s1)) | until261(s2)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18994, 222, 18900])).
% 12.85/13.10 tff(18996,plain,
% 12.85/13.10 (~xuntil262(s1)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[18995, 18991])).
% 12.85/13.10 tff(18997,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s1) | node260(s1) | (~until261(s1)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18998,plain,
% 12.85/13.10 ((node260(s1) | (~until261(s1)) | xuntil262(s1)) <=> (xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(18999,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s1) | node260(s1) | (~until261(s1))))),
% 12.85/13.10 inference(monotonicity,[status(thm)],[18998])).
% 12.85/13.10 tff(19000,plain,
% 12.85/13.10 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.85/13.10 inference(transitivity,[status(thm)],[18999, 18997])).
% 12.85/13.10 tff(19001,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(19002,plain,
% 12.85/13.10 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19001, 19000])).
% 12.85/13.10 tff(19003,plain,
% 12.85/13.10 (node260(s1) | (~until261(s1))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[19002, 18882, 18996])).
% 12.85/13.10 tff(19004,plain,
% 12.85/13.10 (~until261(s1)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[19003, 18785])).
% 12.85/13.10 tff(19005,plain,
% 12.85/13.10 (^[X: $i] : refl((loop | (~last(X)) | (~always194(X))) <=> (loop | (~last(X)) | (~always194(X))))),
% 12.85/13.10 inference(bind,[status(th)],[])).
% 12.85/13.10 tff(19006,plain,
% 12.85/13.10 (![X: $i] : (loop | (~last(X)) | (~always194(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(quant_intro,[status(thm)],[19005])).
% 12.85/13.10 tff(19007,plain,
% 12.85/13.10 (![X: $i] : (loop | (~last(X)) | (~always194(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(19008,plain,
% 12.85/13.10 (^[X: $i] : rewrite(((loop | (~always194(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always194(X))))),
% 12.85/13.10 inference(bind,[status(th)],[])).
% 12.85/13.10 tff(19009,plain,
% 12.85/13.10 (![X: $i] : ((loop | (~always194(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(quant_intro,[status(thm)],[19008])).
% 12.85/13.10 tff(19010,axiom,(![X: $i] : ((loop | (~always194(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty31')).
% 12.85/13.10 tff(19011,plain,
% 12.85/13.10 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19010, 19009])).
% 12.85/13.10 tff(19012,plain,
% 12.85/13.10 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19011, 19007])).
% 12.85/13.10 tff(19013,plain,(
% 12.85/13.10 ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(skolemize,[status(sab)],[19012])).
% 12.85/13.10 tff(19014,plain,
% 12.85/13.10 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19013, 19006])).
% 12.85/13.10 tff(19015,plain,
% 12.85/13.10 (((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | (loop | (~last(s9)) | (~always194(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | loop | (~last(s9)) | (~always194(s9)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(19016,plain,
% 12.85/13.10 ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | (loop | (~last(s9)) | (~always194(s9)))),
% 12.85/13.10 inference(quant_inst,[status(thm)],[])).
% 12.85/13.10 tff(19017,plain,
% 12.85/13.10 ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | loop | (~last(s9)) | (~always194(s9))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 12.85/13.10 tff(19018,plain,
% 12.85/13.10 (loop | (~always194(s9))),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[19017, 15950, 19014])).
% 12.85/13.10 tff(19019,plain,
% 12.85/13.10 (~always194(s9)),
% 12.85/13.10 inference(unit_resolution,[status(thm)],[19018, 15937])).
% 12.85/13.10 tff(19020,plain,
% 12.85/13.10 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ((~trans(X, Y)) | always194(Y) | (~always194(X))))),
% 12.85/13.10 inference(bind,[status(th)],[])).
% 12.85/13.10 tff(19021,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(quant_intro,[status(thm)],[19020])).
% 12.85/13.10 tff(19022,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(rewrite,[status(thm)],[])).
% 12.85/13.10 tff(19023,plain,
% 12.85/13.10 (^[Y: $i, X: $i] : rewrite(((always194(Y) | (~trans(X, Y))) | (~always194(X))) <=> ((~trans(X, Y)) | always194(Y) | (~always194(X))))),
% 12.85/13.10 inference(bind,[status(th)],[])).
% 12.85/13.10 tff(19024,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((always194(Y) | (~trans(X, Y))) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(quant_intro,[status(thm)],[19023])).
% 12.85/13.10 tff(19025,axiom,(![Y: $i, X: $i] : ((always194(Y) | (~trans(X, Y))) | (~always194(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty30')).
% 12.85/13.10 tff(19026,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 12.85/13.10 tff(19027,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(modus_ponens,[status(thm)],[19026, 19022])).
% 12.85/13.10 tff(19028,plain,(
% 12.85/13.10 ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.85/13.10 inference(skolemize,[status(sab)],[19027])).
% 12.85/13.10 tff(19029,plain,
% 12.85/13.10 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19028, 19021])).
% 12.94/13.10 tff(19030,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (always194(s9) | (~trans(s8, s9)) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19031,plain,
% 12.94/13.10 (((~trans(s8, s9)) | always194(s9) | (~always194(s8))) <=> (always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19032,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (always194(s9) | (~trans(s8, s9)) | (~always194(s8))))),
% 12.94/13.10 inference(monotonicity,[status(thm)],[19031])).
% 12.94/13.10 tff(19033,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.94/13.10 inference(transitivity,[status(thm)],[19032, 19030])).
% 12.94/13.10 tff(19034,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19035,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19034, 19033])).
% 12.94/13.10 tff(19036,plain,
% 12.94/13.10 (always194(s9) | (~always194(s8))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19035, 19029, 5508])).
% 12.94/13.10 tff(19037,plain,
% 12.94/13.10 (~always194(s8)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19036, 19019])).
% 12.94/13.10 tff(19038,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s7, s8)) | always194(s8) | (~always194(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s7, s8)) | always194(s8) | (~always194(s7)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19039,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s7, s8)) | always194(s8) | (~always194(s7)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19040,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s7, s8)) | always194(s8) | (~always194(s7))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19039, 19038])).
% 12.94/13.10 tff(19041,plain,
% 12.94/13.10 (always194(s8) | (~always194(s7))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19040, 19029, 5304])).
% 12.94/13.10 tff(19042,plain,
% 12.94/13.10 (~always194(s7)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19041, 19037])).
% 12.94/13.10 tff(19043,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s6, s7)) | always194(s7) | (~always194(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s6, s7)) | always194(s7) | (~always194(s6)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19044,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s6, s7)) | always194(s7) | (~always194(s6)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19045,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s6, s7)) | always194(s7) | (~always194(s6))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 12.94/13.10 tff(19046,plain,
% 12.94/13.10 (always194(s7) | (~always194(s6))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19045, 19029, 5162])).
% 12.94/13.10 tff(19047,plain,
% 12.94/13.10 (~always194(s6)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19046, 19042])).
% 12.94/13.10 tff(19048,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s5, s6)) | always194(s6) | (~always194(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s5, s6)) | always194(s6) | (~always194(s5)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19049,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s5, s6)) | always194(s6) | (~always194(s5)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19050,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s5, s6)) | always194(s6) | (~always194(s5))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19049, 19048])).
% 12.94/13.10 tff(19051,plain,
% 12.94/13.10 (always194(s6) | (~always194(s5))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19050, 19029, 15])).
% 12.94/13.10 tff(19052,plain,
% 12.94/13.10 (~always194(s5)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19051, 19047])).
% 12.94/13.10 tff(19053,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s4, s5)) | always194(s5) | (~always194(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s4, s5)) | always194(s5) | (~always194(s4)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19054,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s4, s5)) | always194(s5) | (~always194(s4)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19055,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s4, s5)) | always194(s5) | (~always194(s4))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 12.94/13.10 tff(19056,plain,
% 12.94/13.10 (always194(s5) | (~always194(s4))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19055, 19029, 4253])).
% 12.94/13.10 tff(19057,plain,
% 12.94/13.10 (~always194(s4)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19056, 19052])).
% 12.94/13.10 tff(19058,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s3, s4)) | always194(s4) | (~always194(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s3, s4)) | always194(s4) | (~always194(s3)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19059,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s3, s4)) | always194(s4) | (~always194(s3)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19060,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s3, s4)) | always194(s4) | (~always194(s3))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19059, 19058])).
% 12.94/13.10 tff(19061,plain,
% 12.94/13.10 (always194(s4) | (~always194(s3))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19060, 19029, 1179])).
% 12.94/13.10 tff(19062,plain,
% 12.94/13.10 (~always194(s3)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19061, 19057])).
% 12.94/13.10 tff(19063,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s2, s3)) | always194(s3) | (~always194(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s2, s3)) | always194(s3) | (~always194(s2)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19064,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s2, s3)) | always194(s3) | (~always194(s2)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19065,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s2, s3)) | always194(s3) | (~always194(s2))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 12.94/13.10 tff(19066,plain,
% 12.94/13.10 (always194(s3) | (~always194(s2))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19065, 19029, 794])).
% 12.94/13.10 tff(19067,plain,
% 12.94/13.10 (~always194(s2)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19066, 19062])).
% 12.94/13.10 tff(19068,plain,
% 12.94/13.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s1, s2)) | always194(s2) | (~always194(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s1, s2)) | always194(s2) | (~always194(s1)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19069,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s1, s2)) | always194(s2) | (~always194(s1)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19070,plain,
% 12.94/13.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s1, s2)) | always194(s2) | (~always194(s1))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 12.94/13.10 tff(19071,plain,
% 12.94/13.10 (always194(s2) | (~always194(s1))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19070, 19029, 226])).
% 12.94/13.10 tff(19072,plain,
% 12.94/13.10 (~always194(s1)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19071, 19067])).
% 12.94/13.10 tff(19073,plain,
% 12.94/13.10 (^[X: $i] : refl((always194(X) | (~node195(X))) <=> (always194(X) | (~node195(X))))),
% 12.94/13.10 inference(bind,[status(th)],[])).
% 12.94/13.10 tff(19074,plain,
% 12.94/13.10 (![X: $i] : (always194(X) | (~node195(X))) <=> ![X: $i] : (always194(X) | (~node195(X)))),
% 12.94/13.10 inference(quant_intro,[status(thm)],[19073])).
% 12.94/13.10 tff(19075,plain,
% 12.94/13.10 (![X: $i] : (always194(X) | (~node195(X))) <=> ![X: $i] : (always194(X) | (~node195(X)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19076,axiom,(![X: $i] : (always194(X) | (~node195(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty35')).
% 12.94/13.10 tff(19077,plain,
% 12.94/13.10 (![X: $i] : (always194(X) | (~node195(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 12.94/13.10 tff(19078,plain,(
% 12.94/13.10 ![X: $i] : (always194(X) | (~node195(X)))),
% 12.94/13.10 inference(skolemize,[status(sab)],[19077])).
% 12.94/13.10 tff(19079,plain,
% 12.94/13.10 (![X: $i] : (always194(X) | (~node195(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19078, 19074])).
% 12.94/13.10 tff(19080,plain,
% 12.94/13.10 (((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s1) | (~node195(s1)))) <=> ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s1) | (~node195(s1)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19081,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s1) | (~node195(s1)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19082,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s1) | (~node195(s1))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 12.94/13.10 tff(19083,plain,
% 12.94/13.10 (~node195(s1)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19082, 19079, 19072])).
% 12.94/13.10 tff(19084,plain,
% 12.94/13.10 (^[X: $i] : refl((node195(X) | until261(X) | (~node265(X))) <=> (node195(X) | until261(X) | (~node265(X))))),
% 12.94/13.10 inference(bind,[status(th)],[])).
% 12.94/13.10 tff(19085,plain,
% 12.94/13.10 (![X: $i] : (node195(X) | until261(X) | (~node265(X))) <=> ![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(quant_intro,[status(thm)],[19084])).
% 12.94/13.10 tff(19086,plain,
% 12.94/13.10 (![X: $i] : (node195(X) | until261(X) | (~node265(X))) <=> ![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19087,plain,
% 12.94/13.10 (^[X: $i] : rewrite(((node195(X) | until261(X)) | (~node265(X))) <=> (node195(X) | until261(X) | (~node265(X))))),
% 12.94/13.10 inference(bind,[status(th)],[])).
% 12.94/13.10 tff(19088,plain,
% 12.94/13.10 (![X: $i] : ((node195(X) | until261(X)) | (~node265(X))) <=> ![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(quant_intro,[status(thm)],[19087])).
% 12.94/13.10 tff(19089,axiom,(![X: $i] : ((node195(X) | until261(X)) | (~node265(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty183')).
% 12.94/13.10 tff(19090,plain,
% 12.94/13.10 (![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 12.94/13.10 tff(19091,plain,
% 12.94/13.10 (![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19090, 19086])).
% 12.94/13.10 tff(19092,plain,(
% 12.94/13.10 ![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(skolemize,[status(sab)],[19091])).
% 12.94/13.10 tff(19093,plain,
% 12.94/13.10 (![X: $i] : (node195(X) | until261(X) | (~node265(X)))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19092, 19085])).
% 12.94/13.10 tff(19094,plain,
% 12.94/13.10 (((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s1) | until261(s1) | (~node265(s1)))) <=> ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s1) | until261(s1) | (~node265(s1)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19095,plain,
% 12.94/13.10 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s1) | until261(s1) | (~node265(s1)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19096,plain,
% 12.94/13.10 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s1) | until261(s1) | (~node265(s1))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19095, 19094])).
% 12.94/13.10 tff(19097,plain,
% 12.94/13.10 (until261(s1) | (~node265(s1))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19096, 19093, 19083])).
% 12.94/13.10 tff(19098,plain,
% 12.94/13.10 (~node265(s1)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19097, 19004])).
% 12.94/13.10 tff(19099,plain,
% 12.94/13.10 (((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s2) | (~node195(s2)))) <=> ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s2) | (~node195(s2)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19100,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s2) | (~node195(s2)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19101,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s2) | (~node195(s2))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 12.94/13.10 tff(19102,plain,
% 12.94/13.10 (~node195(s2)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19101, 19079, 19067])).
% 12.94/13.10 tff(19103,plain,
% 12.94/13.10 (((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s2) | until261(s2) | (~node265(s2)))) <=> ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s2) | until261(s2) | (~node265(s2)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19104,plain,
% 12.94/13.10 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s2) | until261(s2) | (~node265(s2)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19105,plain,
% 12.94/13.10 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s2) | until261(s2) | (~node265(s2))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 12.94/13.10 tff(19106,plain,
% 12.94/13.10 (until261(s2) | (~node265(s2))),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19105, 19093, 19102])).
% 12.94/13.10 tff(19107,plain,
% 12.94/13.10 (~node265(s2)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19106, 18991])).
% 12.94/13.10 tff(19108,plain,
% 12.94/13.10 (((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s3) | (~node195(s3)))) <=> ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s3) | (~node195(s3)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19109,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s3) | (~node195(s3)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19110,plain,
% 12.94/13.10 ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s3) | (~node195(s3))),
% 12.94/13.10 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 12.94/13.10 tff(19111,plain,
% 12.94/13.10 (~node195(s3)),
% 12.94/13.10 inference(unit_resolution,[status(thm)],[19110, 19079, 19062])).
% 12.94/13.10 tff(19112,plain,
% 12.94/13.10 (((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s3) | until261(s3) | (~node265(s3)))) <=> ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s3) | until261(s3) | (~node265(s3)))),
% 12.94/13.10 inference(rewrite,[status(thm)],[])).
% 12.94/13.10 tff(19113,plain,
% 12.94/13.10 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s3) | until261(s3) | (~node265(s3)))),
% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
% 12.94/13.10 tff(19114,plain,
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.10 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.10 inference(rewrite,[status(thm)],[])).
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% 12.94/13.11 tff(19176,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil267(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty186')).
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% 12.94/13.11 inference(modus_ponens,[status(thm)],[19194, 19187])).
% 12.94/13.11 tff(19196,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s9) | node265(s9) | (~until266(s9)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s9) | node265(s9) | (~until266(s9)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19197,plain,
% 12.94/13.11 ((node265(s9) | (~until266(s9)) | xuntil267(s9)) <=> (xuntil267(s9) | node265(s9) | (~until266(s9)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19198,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s9) | (~until266(s9)) | xuntil267(s9))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s9) | node265(s9) | (~until266(s9))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19197])).
% 12.94/13.11 tff(19199,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s9) | (~until266(s9)) | xuntil267(s9))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s9) | node265(s9) | (~until266(s9)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19198, 19196])).
% 12.94/13.11 tff(19200,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s9) | (~until266(s9)) | xuntil267(s9))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19201,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s9) | node265(s9) | (~until266(s9))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 12.94/13.11 tff(19202,plain,
% 12.94/13.11 (node265(s9) | (~until266(s9))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19201, 19195, 19185])).
% 12.94/13.11 tff(19203,plain,
% 12.94/13.11 (~until266(s9)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19202, 19170])).
% 12.94/13.11 tff(19204,plain,
% 12.94/13.11 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19205,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19204])).
% 12.94/13.11 tff(19206,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19207,plain,
% 12.94/13.11 (^[Y: $i, X: $i] : rewrite(((until266(Y) | (~succ(X, Y))) | (~xuntil267(X))) <=> ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19208,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((until266(Y) | (~succ(X, Y))) | (~xuntil267(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19207])).
% 12.94/13.11 tff(19209,axiom,(![Y: $i, X: $i] : ((until266(Y) | (~succ(X, Y))) | (~xuntil267(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty185')).
% 12.94/13.11 tff(19210,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 12.94/13.11 tff(19211,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19210, 19206])).
% 12.94/13.11 tff(19212,plain,(
% 12.94/13.11 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(skolemize,[status(sab)],[19211])).
% 12.94/13.11 tff(19213,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19212, 19205])).
% 12.94/13.11 tff(19214,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19215,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19216,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19215, 19214])).
% 12.94/13.11 tff(19217,plain,
% 12.94/13.11 ((~xuntil267(s8)) | until266(s9)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19216, 5504, 19213])).
% 12.94/13.11 tff(19218,plain,
% 12.94/13.11 (~xuntil267(s8)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19217, 19203])).
% 12.94/13.11 tff(19219,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s8) | node265(s8) | (~until266(s8)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19220,plain,
% 12.94/13.11 ((node265(s8) | (~until266(s8)) | xuntil267(s8)) <=> (xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19221,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s8) | node265(s8) | (~until266(s8))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19220])).
% 12.94/13.11 tff(19222,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19221, 19219])).
% 12.94/13.11 tff(19223,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19224,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19223, 19222])).
% 12.94/13.11 tff(19225,plain,
% 12.94/13.11 (node265(s8) | (~until266(s8))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19224, 19195, 19218])).
% 12.94/13.11 tff(19226,plain,
% 12.94/13.11 (~until266(s8)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19225, 19161])).
% 12.94/13.11 tff(19227,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19228,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19229,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 12.94/13.11 tff(19230,plain,
% 12.94/13.11 ((~xuntil267(s7)) | until266(s8)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19229, 5300, 19213])).
% 12.94/13.11 tff(19231,plain,
% 12.94/13.11 (~xuntil267(s7)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19230, 19226])).
% 12.94/13.11 tff(19232,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s7) | node265(s7) | (~until266(s7)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19233,plain,
% 12.94/13.11 ((node265(s7) | (~until266(s7)) | xuntil267(s7)) <=> (xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19234,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s7) | node265(s7) | (~until266(s7))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19233])).
% 12.94/13.11 tff(19235,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19234, 19232])).
% 12.94/13.11 tff(19236,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19237,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 12.94/13.11 tff(19238,plain,
% 12.94/13.11 (node265(s7) | (~until266(s7))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19237, 19195, 19231])).
% 12.94/13.11 tff(19239,plain,
% 12.94/13.11 (~until266(s7)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19238, 19152])).
% 12.94/13.11 tff(19240,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19241,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19242,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19241, 19240])).
% 12.94/13.11 tff(19243,plain,
% 12.94/13.11 ((~xuntil267(s6)) | until266(s7)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19242, 5158, 19213])).
% 12.94/13.11 tff(19244,plain,
% 12.94/13.11 (~xuntil267(s6)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19243, 19239])).
% 12.94/13.11 tff(19245,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s6) | node265(s6) | (~until266(s6)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19246,plain,
% 12.94/13.11 ((node265(s6) | (~until266(s6)) | xuntil267(s6)) <=> (xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19247,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s6) | node265(s6) | (~until266(s6))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19246])).
% 12.94/13.11 tff(19248,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19247, 19245])).
% 12.94/13.11 tff(19249,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19250,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19249, 19248])).
% 12.94/13.11 tff(19251,plain,
% 12.94/13.11 (node265(s6) | (~until266(s6))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19250, 19195, 19244])).
% 12.94/13.11 tff(19252,plain,
% 12.94/13.11 (~until266(s6)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19251, 19143])).
% 12.94/13.11 tff(19253,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19254,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19255,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19254, 19253])).
% 12.94/13.11 tff(19256,plain,
% 12.94/13.11 ((~xuntil267(s5)) | until266(s6)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19255, 11, 19213])).
% 12.94/13.11 tff(19257,plain,
% 12.94/13.11 (~xuntil267(s5)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19256, 19252])).
% 12.94/13.11 tff(19258,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s5) | node265(s5) | (~until266(s5)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19259,plain,
% 12.94/13.11 ((node265(s5) | (~until266(s5)) | xuntil267(s5)) <=> (xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19260,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s5) | node265(s5) | (~until266(s5))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19259])).
% 12.94/13.11 tff(19261,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19260, 19258])).
% 12.94/13.11 tff(19262,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19263,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 12.94/13.11 tff(19264,plain,
% 12.94/13.11 (node265(s5) | (~until266(s5))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19263, 19195, 19257])).
% 12.94/13.11 tff(19265,plain,
% 12.94/13.11 (~until266(s5)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19264, 19134])).
% 12.94/13.11 tff(19266,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19267,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19268,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 12.94/13.11 tff(19269,plain,
% 12.94/13.11 ((~xuntil267(s4)) | until266(s5)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19268, 4249, 19213])).
% 12.94/13.11 tff(19270,plain,
% 12.94/13.11 (~xuntil267(s4)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19269, 19265])).
% 12.94/13.11 tff(19271,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s4) | node265(s4) | (~until266(s4)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19272,plain,
% 12.94/13.11 ((node265(s4) | (~until266(s4)) | xuntil267(s4)) <=> (xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19273,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s4) | node265(s4) | (~until266(s4))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19272])).
% 12.94/13.11 tff(19274,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19273, 19271])).
% 12.94/13.11 tff(19275,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19276,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 12.94/13.11 tff(19277,plain,
% 12.94/13.11 (node265(s4) | (~until266(s4))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19276, 19195, 19270])).
% 12.94/13.11 tff(19278,plain,
% 12.94/13.11 (~until266(s4)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19277, 19125])).
% 12.94/13.11 tff(19279,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19280,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19281,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19280, 19279])).
% 12.94/13.11 tff(19282,plain,
% 12.94/13.11 ((~xuntil267(s3)) | until266(s4)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19281, 1175, 19213])).
% 12.94/13.11 tff(19283,plain,
% 12.94/13.11 (~xuntil267(s3)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19282, 19278])).
% 12.94/13.11 tff(19284,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s3) | node265(s3) | (~until266(s3)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19285,plain,
% 12.94/13.11 ((node265(s3) | (~until266(s3)) | xuntil267(s3)) <=> (xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19286,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s3) | node265(s3) | (~until266(s3))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19285])).
% 12.94/13.11 tff(19287,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19286, 19284])).
% 12.94/13.11 tff(19288,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19289,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19288, 19287])).
% 12.94/13.11 tff(19290,plain,
% 12.94/13.11 (node265(s3) | (~until266(s3))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19289, 19195, 19283])).
% 12.94/13.11 tff(19291,plain,
% 12.94/13.11 (~until266(s3)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19290, 19116])).
% 12.94/13.11 tff(19292,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19293,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19294,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19293, 19292])).
% 12.94/13.11 tff(19295,plain,
% 12.94/13.11 ((~xuntil267(s2)) | until266(s3)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19294, 790, 19213])).
% 12.94/13.11 tff(19296,plain,
% 12.94/13.11 (~xuntil267(s2)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19295, 19291])).
% 12.94/13.11 tff(19297,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s2) | node265(s2) | (~until266(s2)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19298,plain,
% 12.94/13.11 ((node265(s2) | (~until266(s2)) | xuntil267(s2)) <=> (xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19299,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s2) | node265(s2) | (~until266(s2))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19298])).
% 12.94/13.11 tff(19300,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19299, 19297])).
% 12.94/13.11 tff(19301,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19302,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 12.94/13.11 tff(19303,plain,
% 12.94/13.11 (node265(s2) | (~until266(s2))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19302, 19195, 19296])).
% 12.94/13.11 tff(19304,plain,
% 12.94/13.11 (~until266(s2)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19303, 19107])).
% 12.94/13.11 tff(19305,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19306,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19307,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2)),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 12.94/13.11 tff(19308,plain,
% 12.94/13.11 ((~xuntil267(s1)) | until266(s2)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19307, 222, 19213])).
% 12.94/13.11 tff(19309,plain,
% 12.94/13.11 (~xuntil267(s1)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19308, 19304])).
% 12.94/13.11 tff(19310,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s1) | node265(s1) | (~until266(s1)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19311,plain,
% 12.94/13.11 ((node265(s1) | (~until266(s1)) | xuntil267(s1)) <=> (xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19312,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s1) | node265(s1) | (~until266(s1))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19311])).
% 12.94/13.11 tff(19313,plain,
% 12.94/13.11 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19312, 19310])).
% 12.94/13.11 tff(19314,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19315,plain,
% 12.94/13.11 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 12.94/13.11 tff(19316,plain,
% 12.94/13.11 (node265(s1) | (~until266(s1))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19315, 19195, 19309])).
% 12.94/13.11 tff(19317,plain,
% 12.94/13.11 (~until266(s1)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19316, 19098])).
% 12.94/13.11 tff(19318,plain,
% 12.94/13.11 (^[X: $i] : refl((loop | (~last(X)) | (~always192(X))) <=> (loop | (~last(X)) | (~always192(X))))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19319,plain,
% 12.94/13.11 (![X: $i] : (loop | (~last(X)) | (~always192(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19318])).
% 12.94/13.11 tff(19320,plain,
% 12.94/13.11 (![X: $i] : (loop | (~last(X)) | (~always192(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19321,plain,
% 12.94/13.11 (^[X: $i] : rewrite(((loop | (~always192(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always192(X))))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19322,plain,
% 12.94/13.11 (![X: $i] : ((loop | (~always192(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19321])).
% 12.94/13.11 tff(19323,axiom,(![X: $i] : ((loop | (~always192(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty23')).
% 12.94/13.11 tff(19324,plain,
% 12.94/13.11 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19323, 19322])).
% 12.94/13.11 tff(19325,plain,
% 12.94/13.11 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19324, 19320])).
% 12.94/13.11 tff(19326,plain,(
% 12.94/13.11 ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(skolemize,[status(sab)],[19325])).
% 12.94/13.11 tff(19327,plain,
% 12.94/13.11 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19326, 19319])).
% 12.94/13.11 tff(19328,plain,
% 12.94/13.11 (((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | (loop | (~last(s9)) | (~always192(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | loop | (~last(s9)) | (~always192(s9)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19329,plain,
% 12.94/13.11 ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | (loop | (~last(s9)) | (~always192(s9)))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19330,plain,
% 12.94/13.11 ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | loop | (~last(s9)) | (~always192(s9))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19329, 19328])).
% 12.94/13.11 tff(19331,plain,
% 12.94/13.11 (loop | (~always192(s9))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19330, 15950, 19327])).
% 12.94/13.11 tff(19332,plain,
% 12.94/13.11 (~always192(s9)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19331, 15937])).
% 12.94/13.11 tff(19333,plain,
% 12.94/13.11 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ((~trans(X, Y)) | always192(Y) | (~always192(X))))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19334,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19333])).
% 12.94/13.11 tff(19335,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19336,plain,
% 12.94/13.11 (^[Y: $i, X: $i] : rewrite(((always192(Y) | (~trans(X, Y))) | (~always192(X))) <=> ((~trans(X, Y)) | always192(Y) | (~always192(X))))),
% 12.94/13.11 inference(bind,[status(th)],[])).
% 12.94/13.11 tff(19337,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((always192(Y) | (~trans(X, Y))) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(quant_intro,[status(thm)],[19336])).
% 12.94/13.11 tff(19338,axiom,(![Y: $i, X: $i] : ((always192(Y) | (~trans(X, Y))) | (~always192(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty22')).
% 12.94/13.11 tff(19339,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 12.94/13.11 tff(19340,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19339, 19335])).
% 12.94/13.11 tff(19341,plain,(
% 12.94/13.11 ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(skolemize,[status(sab)],[19340])).
% 12.94/13.11 tff(19342,plain,
% 12.94/13.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19341, 19334])).
% 12.94/13.11 tff(19343,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (always192(s9) | (~trans(s8, s9)) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19344,plain,
% 12.94/13.11 (((~trans(s8, s9)) | always192(s9) | (~always192(s8))) <=> (always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19345,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (always192(s9) | (~trans(s8, s9)) | (~always192(s8))))),
% 12.94/13.11 inference(monotonicity,[status(thm)],[19344])).
% 12.94/13.11 tff(19346,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.94/13.11 inference(transitivity,[status(thm)],[19345, 19343])).
% 12.94/13.11 tff(19347,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19348,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 12.94/13.11 tff(19349,plain,
% 12.94/13.11 (always192(s9) | (~always192(s8))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19348, 19342, 5508])).
% 12.94/13.11 tff(19350,plain,
% 12.94/13.11 (~always192(s8)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19349, 19332])).
% 12.94/13.11 tff(19351,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s7, s8)) | always192(s8) | (~always192(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s7, s8)) | always192(s8) | (~always192(s7)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19352,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s7, s8)) | always192(s8) | (~always192(s7)))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19353,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s7, s8)) | always192(s8) | (~always192(s7))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 12.94/13.11 tff(19354,plain,
% 12.94/13.11 (always192(s8) | (~always192(s7))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19353, 19342, 5304])).
% 12.94/13.11 tff(19355,plain,
% 12.94/13.11 (~always192(s7)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19354, 19350])).
% 12.94/13.11 tff(19356,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s6, s7)) | always192(s7) | (~always192(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s6, s7)) | always192(s7) | (~always192(s6)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19357,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s6, s7)) | always192(s7) | (~always192(s6)))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19358,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s6, s7)) | always192(s7) | (~always192(s6))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19357, 19356])).
% 12.94/13.11 tff(19359,plain,
% 12.94/13.11 (always192(s7) | (~always192(s6))),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19358, 19342, 5162])).
% 12.94/13.11 tff(19360,plain,
% 12.94/13.11 (~always192(s6)),
% 12.94/13.11 inference(unit_resolution,[status(thm)],[19359, 19355])).
% 12.94/13.11 tff(19361,plain,
% 12.94/13.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s5, s6)) | always192(s6) | (~always192(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s5, s6)) | always192(s6) | (~always192(s5)))),
% 12.94/13.11 inference(rewrite,[status(thm)],[])).
% 12.94/13.11 tff(19362,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s5, s6)) | always192(s6) | (~always192(s5)))),
% 12.94/13.11 inference(quant_inst,[status(thm)],[])).
% 12.94/13.11 tff(19363,plain,
% 12.94/13.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s5, s6)) | always192(s6) | (~always192(s5))),
% 12.94/13.11 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 12.94/13.11 tff(19364,plain,
% 12.94/13.11 (always192(s6) | (~always192(s5))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19363, 19342, 15])).
% 12.94/13.12 tff(19365,plain,
% 12.94/13.12 (~always192(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19364, 19360])).
% 12.94/13.12 tff(19366,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s4, s5)) | always192(s5) | (~always192(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s4, s5)) | always192(s5) | (~always192(s4)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19367,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s4, s5)) | always192(s5) | (~always192(s4)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19368,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s4, s5)) | always192(s5) | (~always192(s4))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19367, 19366])).
% 12.94/13.12 tff(19369,plain,
% 12.94/13.12 (always192(s5) | (~always192(s4))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19368, 19342, 4253])).
% 12.94/13.12 tff(19370,plain,
% 12.94/13.12 (~always192(s4)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19369, 19365])).
% 12.94/13.12 tff(19371,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s3, s4)) | always192(s4) | (~always192(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s3, s4)) | always192(s4) | (~always192(s3)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19372,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s3, s4)) | always192(s4) | (~always192(s3)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19373,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s3, s4)) | always192(s4) | (~always192(s3))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 12.94/13.12 tff(19374,plain,
% 12.94/13.12 (always192(s4) | (~always192(s3))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19373, 19342, 1179])).
% 12.94/13.12 tff(19375,plain,
% 12.94/13.12 (~always192(s3)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19374, 19370])).
% 12.94/13.12 tff(19376,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s2, s3)) | always192(s3) | (~always192(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s2, s3)) | always192(s3) | (~always192(s2)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19377,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s2, s3)) | always192(s3) | (~always192(s2)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19378,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s2, s3)) | always192(s3) | (~always192(s2))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 12.94/13.12 tff(19379,plain,
% 12.94/13.12 (always192(s3) | (~always192(s2))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19378, 19342, 794])).
% 12.94/13.12 tff(19380,plain,
% 12.94/13.12 (~always192(s2)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19379, 19375])).
% 12.94/13.12 tff(19381,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s1, s2)) | always192(s2) | (~always192(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s1, s2)) | always192(s2) | (~always192(s1)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19382,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s1, s2)) | always192(s2) | (~always192(s1)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19383,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s1, s2)) | always192(s2) | (~always192(s1))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 12.94/13.12 tff(19384,plain,
% 12.94/13.12 (always192(s2) | (~always192(s1))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19383, 19342, 226])).
% 12.94/13.12 tff(19385,plain,
% 12.94/13.12 (~always192(s1)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19384, 19380])).
% 12.94/13.12 tff(19386,plain,
% 12.94/13.12 (^[X: $i] : refl((always192(X) | (~node193(X))) <=> (always192(X) | (~node193(X))))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19387,plain,
% 12.94/13.12 (![X: $i] : (always192(X) | (~node193(X))) <=> ![X: $i] : (always192(X) | (~node193(X)))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19386])).
% 12.94/13.12 tff(19388,plain,
% 12.94/13.12 (![X: $i] : (always192(X) | (~node193(X))) <=> ![X: $i] : (always192(X) | (~node193(X)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19389,axiom,(![X: $i] : (always192(X) | (~node193(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty28')).
% 12.94/13.12 tff(19390,plain,
% 12.94/13.12 (![X: $i] : (always192(X) | (~node193(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19389, 19388])).
% 12.94/13.12 tff(19391,plain,(
% 12.94/13.12 ![X: $i] : (always192(X) | (~node193(X)))),
% 12.94/13.12 inference(skolemize,[status(sab)],[19390])).
% 12.94/13.12 tff(19392,plain,
% 12.94/13.12 (![X: $i] : (always192(X) | (~node193(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19391, 19387])).
% 12.94/13.12 tff(19393,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s1) | (~node193(s1)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s1) | (~node193(s1)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19394,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s1) | (~node193(s1)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19395,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s1) | (~node193(s1))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19394, 19393])).
% 12.94/13.12 tff(19396,plain,
% 12.94/13.12 (~node193(s1)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19395, 19392, 19385])).
% 12.94/13.12 tff(19397,plain,
% 12.94/13.12 (^[X: $i] : refl((node193(X) | until266(X) | (~node270(X))) <=> (node193(X) | until266(X) | (~node270(X))))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19398,plain,
% 12.94/13.12 (![X: $i] : (node193(X) | until266(X) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19397])).
% 12.94/13.12 tff(19399,plain,
% 12.94/13.12 (![X: $i] : (node193(X) | until266(X) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19400,plain,
% 12.94/13.12 (^[X: $i] : rewrite(((node193(X) | until266(X)) | (~node270(X))) <=> (node193(X) | until266(X) | (~node270(X))))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19401,plain,
% 12.94/13.12 (![X: $i] : ((node193(X) | until266(X)) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19400])).
% 12.94/13.12 tff(19402,axiom,(![X: $i] : ((node193(X) | until266(X)) | (~node270(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty191')).
% 12.94/13.12 tff(19403,plain,
% 12.94/13.12 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19402, 19401])).
% 12.94/13.12 tff(19404,plain,
% 12.94/13.12 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19403, 19399])).
% 12.94/13.12 tff(19405,plain,(
% 12.94/13.12 ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(skolemize,[status(sab)],[19404])).
% 12.94/13.12 tff(19406,plain,
% 12.94/13.12 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19405, 19398])).
% 12.94/13.12 tff(19407,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s1) | until266(s1) | (~node270(s1)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s1) | until266(s1) | (~node270(s1)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19408,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s1) | until266(s1) | (~node270(s1)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19409,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s1) | until266(s1) | (~node270(s1))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 12.94/13.12 tff(19410,plain,
% 12.94/13.12 (until266(s1) | (~node270(s1))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19409, 19406, 19396])).
% 12.94/13.12 tff(19411,plain,
% 12.94/13.12 (~node270(s1)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19410, 19317])).
% 12.94/13.12 tff(19412,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s2) | (~node193(s2)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s2) | (~node193(s2)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19413,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s2) | (~node193(s2)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19414,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s2) | (~node193(s2))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19413, 19412])).
% 12.94/13.12 tff(19415,plain,
% 12.94/13.12 (~node193(s2)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19414, 19392, 19380])).
% 12.94/13.12 tff(19416,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s2) | until266(s2) | (~node270(s2)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s2) | until266(s2) | (~node270(s2)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19417,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s2) | until266(s2) | (~node270(s2)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19418,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s2) | until266(s2) | (~node270(s2))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 12.94/13.12 tff(19419,plain,
% 12.94/13.12 (until266(s2) | (~node270(s2))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19418, 19406, 19415])).
% 12.94/13.12 tff(19420,plain,
% 12.94/13.12 (~node270(s2)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19419, 19304])).
% 12.94/13.12 tff(19421,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s3) | (~node193(s3)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s3) | (~node193(s3)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19422,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s3) | (~node193(s3)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19423,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s3) | (~node193(s3))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19422, 19421])).
% 12.94/13.12 tff(19424,plain,
% 12.94/13.12 (~node193(s3)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19423, 19392, 19375])).
% 12.94/13.12 tff(19425,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s3) | until266(s3) | (~node270(s3)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s3) | until266(s3) | (~node270(s3)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19426,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s3) | until266(s3) | (~node270(s3)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19427,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s3) | until266(s3) | (~node270(s3))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19426, 19425])).
% 12.94/13.12 tff(19428,plain,
% 12.94/13.12 (until266(s3) | (~node270(s3))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19427, 19406, 19424])).
% 12.94/13.12 tff(19429,plain,
% 12.94/13.12 (~node270(s3)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19428, 19291])).
% 12.94/13.12 tff(19430,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s4) | (~node193(s4)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s4) | (~node193(s4)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19431,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s4) | (~node193(s4)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19432,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s4) | (~node193(s4))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19431, 19430])).
% 12.94/13.12 tff(19433,plain,
% 12.94/13.12 (~node193(s4)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19432, 19392, 19370])).
% 12.94/13.12 tff(19434,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s4) | until266(s4) | (~node270(s4)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s4) | until266(s4) | (~node270(s4)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19435,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s4) | until266(s4) | (~node270(s4)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19436,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s4) | until266(s4) | (~node270(s4))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 12.94/13.12 tff(19437,plain,
% 12.94/13.12 (until266(s4) | (~node270(s4))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19436, 19406, 19433])).
% 12.94/13.12 tff(19438,plain,
% 12.94/13.12 (~node270(s4)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19437, 19278])).
% 12.94/13.12 tff(19439,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s5) | (~node193(s5)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s5) | (~node193(s5)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19440,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s5) | (~node193(s5)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19441,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s5) | (~node193(s5))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 12.94/13.12 tff(19442,plain,
% 12.94/13.12 (~node193(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19441, 19392, 19365])).
% 12.94/13.12 tff(19443,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s5) | until266(s5) | (~node270(s5)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s5) | until266(s5) | (~node270(s5)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19444,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s5) | until266(s5) | (~node270(s5)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19445,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s5) | until266(s5) | (~node270(s5))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 12.94/13.12 tff(19446,plain,
% 12.94/13.12 (until266(s5) | (~node270(s5))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19445, 19406, 19442])).
% 12.94/13.12 tff(19447,plain,
% 12.94/13.12 (~node270(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19446, 19265])).
% 12.94/13.12 tff(19448,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s6) | (~node193(s6)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s6) | (~node193(s6)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19449,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s6) | (~node193(s6)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19450,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s6) | (~node193(s6))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19449, 19448])).
% 12.94/13.12 tff(19451,plain,
% 12.94/13.12 (~node193(s6)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19450, 19392, 19360])).
% 12.94/13.12 tff(19452,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s6) | until266(s6) | (~node270(s6)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s6) | until266(s6) | (~node270(s6)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19453,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s6) | until266(s6) | (~node270(s6)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19454,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s6) | until266(s6) | (~node270(s6))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 12.94/13.12 tff(19455,plain,
% 12.94/13.12 (until266(s6) | (~node270(s6))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19454, 19406, 19451])).
% 12.94/13.12 tff(19456,plain,
% 12.94/13.12 (~node270(s6)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19455, 19252])).
% 12.94/13.12 tff(19457,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s7) | (~node193(s7)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s7) | (~node193(s7)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19458,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s7) | (~node193(s7)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19459,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s7) | (~node193(s7))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 12.94/13.12 tff(19460,plain,
% 12.94/13.12 (~node193(s7)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19459, 19392, 19355])).
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% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s7) | until266(s7) | (~node270(s7)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s7) | until266(s7) | (~node270(s7)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19462,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s7) | until266(s7) | (~node270(s7)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19463,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s7) | until266(s7) | (~node270(s7))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 12.94/13.12 tff(19464,plain,
% 12.94/13.12 (until266(s7) | (~node270(s7))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19463, 19406, 19460])).
% 12.94/13.12 tff(19465,plain,
% 12.94/13.12 (~node270(s7)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19464, 19239])).
% 12.94/13.12 tff(19466,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s8) | (~node193(s8)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s8) | (~node193(s8)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19467,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s8) | (~node193(s8)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19468,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s8) | (~node193(s8))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 12.94/13.12 tff(19469,plain,
% 12.94/13.12 (~node193(s8)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19468, 19392, 19350])).
% 12.94/13.12 tff(19470,plain,
% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s8) | until266(s8) | (~node270(s8)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s8) | until266(s8) | (~node270(s8)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19471,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s8) | until266(s8) | (~node270(s8)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19472,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s8) | until266(s8) | (~node270(s8))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 12.94/13.12 tff(19473,plain,
% 12.94/13.12 (until266(s8) | (~node270(s8))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19472, 19406, 19469])).
% 12.94/13.12 tff(19474,plain,
% 12.94/13.12 (~node270(s8)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19473, 19226])).
% 12.94/13.12 tff(19475,plain,
% 12.94/13.12 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s9) | (~node193(s9)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s9) | (~node193(s9)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19476,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s9) | (~node193(s9)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19477,plain,
% 12.94/13.12 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s9) | (~node193(s9))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19476, 19475])).
% 12.94/13.12 tff(19478,plain,
% 12.94/13.12 (~node193(s9)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19477, 19392, 19332])).
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% 12.94/13.12 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s9) | until266(s9) | (~node270(s9)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s9) | until266(s9) | (~node270(s9)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19480,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s9) | until266(s9) | (~node270(s9)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19481,plain,
% 12.94/13.12 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s9) | until266(s9) | (~node270(s9))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 12.94/13.12 tff(19482,plain,
% 12.94/13.12 (until266(s9) | (~node270(s9))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19481, 19406, 19478])).
% 12.94/13.12 tff(19483,plain,
% 12.94/13.12 (~node270(s9)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19482, 19203])).
% 12.94/13.12 tff(19484,plain,
% 12.94/13.12 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil272(X))) <=> (loop | (~last(X)) | (~xuntil272(X))))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19485,plain,
% 12.94/13.12 (![X: $i] : (loop | (~last(X)) | (~xuntil272(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19484])).
% 12.94/13.12 tff(19486,plain,
% 12.94/13.12 (![X: $i] : (loop | (~last(X)) | (~xuntil272(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19487,plain,
% 12.94/13.12 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil272(X))) <=> (loop | (~last(X)) | (~xuntil272(X))))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19488,plain,
% 12.94/13.12 (![X: $i] : ((loop | (~last(X))) | (~xuntil272(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19487])).
% 12.94/13.12 tff(19489,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil272(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty194')).
% 12.94/13.12 tff(19490,plain,
% 12.94/13.12 (![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19489, 19488])).
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% 12.94/13.12 (![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19490, 19486])).
% 12.94/13.12 tff(19492,plain,(
% 12.94/13.12 ![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(skolemize,[status(sab)],[19491])).
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% 12.94/13.12 (![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19492, 19485])).
% 12.94/13.12 tff(19494,plain,
% 12.94/13.12 (((~![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))) | (loop | (~last(s9)) | (~xuntil272(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))) | loop | (~last(s9)) | (~xuntil272(s9)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19495,plain,
% 12.94/13.12 ((~![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))) | (loop | (~last(s9)) | (~xuntil272(s9)))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19496,plain,
% 12.94/13.12 ((~![X: $i] : (loop | (~last(X)) | (~xuntil272(X)))) | loop | (~last(s9)) | (~xuntil272(s9))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19495, 19494])).
% 12.94/13.12 tff(19497,plain,
% 12.94/13.12 (loop | (~xuntil272(s9))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19496, 15950, 19493])).
% 12.94/13.12 tff(19498,plain,
% 12.94/13.12 (~xuntil272(s9)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19497, 15937])).
% 12.94/13.12 tff(19499,plain,
% 12.94/13.12 (^[X: $i] : refl((node270(X) | (~until271(X)) | xuntil272(X)) <=> (node270(X) | (~until271(X)) | xuntil272(X)))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19500,plain,
% 12.94/13.12 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X)) <=> ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19499])).
% 12.94/13.12 tff(19501,plain,
% 12.94/13.12 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X)) <=> ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19502,plain,
% 12.94/13.12 (^[X: $i] : rewrite(((node270(X) | xuntil272(X)) | (~until271(X))) <=> (node270(X) | (~until271(X)) | xuntil272(X)))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19503,plain,
% 12.94/13.12 (![X: $i] : ((node270(X) | xuntil272(X)) | (~until271(X))) <=> ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19502])).
% 12.94/13.12 tff(19504,axiom,(![X: $i] : ((node270(X) | xuntil272(X)) | (~until271(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty192')).
% 12.94/13.12 tff(19505,plain,
% 12.94/13.12 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 12.94/13.12 tff(19506,plain,
% 12.94/13.12 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19505, 19501])).
% 12.94/13.12 tff(19507,plain,(
% 12.94/13.12 ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(skolemize,[status(sab)],[19506])).
% 12.94/13.12 tff(19508,plain,
% 12.94/13.12 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19507, 19500])).
% 12.94/13.12 tff(19509,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s9) | node270(s9) | (~until271(s9)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19510,plain,
% 12.94/13.12 ((node270(s9) | (~until271(s9)) | xuntil272(s9)) <=> (xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19511,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s9) | node270(s9) | (~until271(s9))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19510])).
% 12.94/13.12 tff(19512,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19511, 19509])).
% 12.94/13.12 tff(19513,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19514,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 12.94/13.12 tff(19515,plain,
% 12.94/13.12 (node270(s9) | (~until271(s9))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19514, 19508, 19498])).
% 12.94/13.12 tff(19516,plain,
% 12.94/13.12 (~until271(s9)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19515, 19483])).
% 12.94/13.12 tff(19517,plain,
% 12.94/13.12 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19518,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19517])).
% 12.94/13.12 tff(19519,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19520,plain,
% 12.94/13.12 (^[Y: $i, X: $i] : rewrite(((until271(Y) | (~succ(X, Y))) | (~xuntil272(X))) <=> ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)))),
% 12.94/13.12 inference(bind,[status(th)],[])).
% 12.94/13.12 tff(19521,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((until271(Y) | (~succ(X, Y))) | (~xuntil272(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(quant_intro,[status(thm)],[19520])).
% 12.94/13.12 tff(19522,axiom,(![Y: $i, X: $i] : ((until271(Y) | (~succ(X, Y))) | (~xuntil272(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty193')).
% 12.94/13.12 tff(19523,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 12.94/13.12 tff(19524,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19523, 19519])).
% 12.94/13.12 tff(19525,plain,(
% 12.94/13.12 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(skolemize,[status(sab)],[19524])).
% 12.94/13.12 tff(19526,plain,
% 12.94/13.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19525, 19518])).
% 12.94/13.12 tff(19527,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19528,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19529,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9)),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 12.94/13.12 tff(19530,plain,
% 12.94/13.12 ((~xuntil272(s8)) | until271(s9)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19529, 5504, 19526])).
% 12.94/13.12 tff(19531,plain,
% 12.94/13.12 (~xuntil272(s8)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19530, 19516])).
% 12.94/13.12 tff(19532,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s8) | node270(s8) | (~until271(s8)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19533,plain,
% 12.94/13.12 ((node270(s8) | (~until271(s8)) | xuntil272(s8)) <=> (xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19534,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s8) | node270(s8) | (~until271(s8))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19533])).
% 12.94/13.12 tff(19535,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19534, 19532])).
% 12.94/13.12 tff(19536,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19537,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19536, 19535])).
% 12.94/13.12 tff(19538,plain,
% 12.94/13.12 (node270(s8) | (~until271(s8))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19537, 19508, 19531])).
% 12.94/13.12 tff(19539,plain,
% 12.94/13.12 (~until271(s8)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19538, 19474])).
% 12.94/13.12 tff(19540,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19541,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19542,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8)),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 12.94/13.12 tff(19543,plain,
% 12.94/13.12 ((~xuntil272(s7)) | until271(s8)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19542, 5300, 19526])).
% 12.94/13.12 tff(19544,plain,
% 12.94/13.12 (~xuntil272(s7)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19543, 19539])).
% 12.94/13.12 tff(19545,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s7) | node270(s7) | (~until271(s7)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19546,plain,
% 12.94/13.12 ((node270(s7) | (~until271(s7)) | xuntil272(s7)) <=> (xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19547,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s7) | node270(s7) | (~until271(s7))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19546])).
% 12.94/13.12 tff(19548,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19547, 19545])).
% 12.94/13.12 tff(19549,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19550,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19549, 19548])).
% 12.94/13.12 tff(19551,plain,
% 12.94/13.12 (node270(s7) | (~until271(s7))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19550, 19508, 19544])).
% 12.94/13.12 tff(19552,plain,
% 12.94/13.12 (~until271(s7)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19551, 19465])).
% 12.94/13.12 tff(19553,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19554,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19555,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7)),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 12.94/13.12 tff(19556,plain,
% 12.94/13.12 ((~xuntil272(s6)) | until271(s7)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19555, 5158, 19526])).
% 12.94/13.12 tff(19557,plain,
% 12.94/13.12 (~xuntil272(s6)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19556, 19552])).
% 12.94/13.12 tff(19558,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s6) | node270(s6) | (~until271(s6)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19559,plain,
% 12.94/13.12 ((node270(s6) | (~until271(s6)) | xuntil272(s6)) <=> (xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19560,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s6) | node270(s6) | (~until271(s6))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19559])).
% 12.94/13.12 tff(19561,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19560, 19558])).
% 12.94/13.12 tff(19562,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19563,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 12.94/13.12 tff(19564,plain,
% 12.94/13.12 (node270(s6) | (~until271(s6))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19563, 19508, 19557])).
% 12.94/13.12 tff(19565,plain,
% 12.94/13.12 (~until271(s6)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19564, 19456])).
% 12.94/13.12 tff(19566,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19567,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19568,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6)),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 12.94/13.12 tff(19569,plain,
% 12.94/13.12 ((~xuntil272(s5)) | until271(s6)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19568, 11, 19526])).
% 12.94/13.12 tff(19570,plain,
% 12.94/13.12 (~xuntil272(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19569, 19565])).
% 12.94/13.12 tff(19571,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s5) | node270(s5) | (~until271(s5)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19572,plain,
% 12.94/13.12 ((node270(s5) | (~until271(s5)) | xuntil272(s5)) <=> (xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19573,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s5) | node270(s5) | (~until271(s5))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19572])).
% 12.94/13.12 tff(19574,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19573, 19571])).
% 12.94/13.12 tff(19575,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19576,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19575, 19574])).
% 12.94/13.12 tff(19577,plain,
% 12.94/13.12 (node270(s5) | (~until271(s5))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19576, 19508, 19570])).
% 12.94/13.12 tff(19578,plain,
% 12.94/13.12 (~until271(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19577, 19447])).
% 12.94/13.12 tff(19579,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19580,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19581,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5)),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19580, 19579])).
% 12.94/13.12 tff(19582,plain,
% 12.94/13.12 ((~xuntil272(s4)) | until271(s5)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19581, 4249, 19526])).
% 12.94/13.12 tff(19583,plain,
% 12.94/13.12 (~xuntil272(s4)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19582, 19578])).
% 12.94/13.12 tff(19584,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s4) | node270(s4) | (~until271(s4)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19585,plain,
% 12.94/13.12 ((node270(s4) | (~until271(s4)) | xuntil272(s4)) <=> (xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19586,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s4) | node270(s4) | (~until271(s4))))),
% 12.94/13.12 inference(monotonicity,[status(thm)],[19585])).
% 12.94/13.12 tff(19587,plain,
% 12.94/13.12 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.94/13.12 inference(transitivity,[status(thm)],[19586, 19584])).
% 12.94/13.12 tff(19588,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.12 tff(19589,plain,
% 12.94/13.12 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4))),
% 12.94/13.12 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 12.94/13.12 tff(19590,plain,
% 12.94/13.12 (node270(s4) | (~until271(s4))),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19589, 19508, 19583])).
% 12.94/13.12 tff(19591,plain,
% 12.94/13.12 (~until271(s4)),
% 12.94/13.12 inference(unit_resolution,[status(thm)],[19590, 19438])).
% 12.94/13.12 tff(19592,plain,
% 12.94/13.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))),
% 12.94/13.12 inference(rewrite,[status(thm)],[])).
% 12.94/13.12 tff(19593,plain,
% 12.94/13.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))),
% 12.94/13.12 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19594,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4)),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19593, 19592])).
% 12.94/13.13 tff(19595,plain,
% 12.94/13.13 ((~xuntil272(s3)) | until271(s4)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19594, 1175, 19526])).
% 12.94/13.13 tff(19596,plain,
% 12.94/13.13 (~xuntil272(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19595, 19591])).
% 12.94/13.13 tff(19597,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s3) | node270(s3) | (~until271(s3)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19598,plain,
% 12.94/13.13 ((node270(s3) | (~until271(s3)) | xuntil272(s3)) <=> (xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19599,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s3) | node270(s3) | (~until271(s3))))),
% 12.94/13.13 inference(monotonicity,[status(thm)],[19598])).
% 12.94/13.13 tff(19600,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.94/13.13 inference(transitivity,[status(thm)],[19599, 19597])).
% 12.94/13.13 tff(19601,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19602,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 12.94/13.13 tff(19603,plain,
% 12.94/13.13 (node270(s3) | (~until271(s3))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19602, 19508, 19596])).
% 12.94/13.13 tff(19604,plain,
% 12.94/13.13 (~until271(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19603, 19429])).
% 12.94/13.13 tff(19605,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19606,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19607,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3)),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19606, 19605])).
% 12.94/13.13 tff(19608,plain,
% 12.94/13.13 ((~xuntil272(s2)) | until271(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19607, 790, 19526])).
% 12.94/13.13 tff(19609,plain,
% 12.94/13.13 (~xuntil272(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19608, 19604])).
% 12.94/13.13 tff(19610,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s2) | node270(s2) | (~until271(s2)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19611,plain,
% 12.94/13.13 ((node270(s2) | (~until271(s2)) | xuntil272(s2)) <=> (xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19612,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s2) | node270(s2) | (~until271(s2))))),
% 12.94/13.13 inference(monotonicity,[status(thm)],[19611])).
% 12.94/13.13 tff(19613,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.94/13.13 inference(transitivity,[status(thm)],[19612, 19610])).
% 12.94/13.13 tff(19614,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19615,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 12.94/13.13 tff(19616,plain,
% 12.94/13.13 (node270(s2) | (~until271(s2))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19615, 19508, 19609])).
% 12.94/13.13 tff(19617,plain,
% 12.94/13.13 (~until271(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19616, 19420])).
% 12.94/13.13 tff(19618,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19619,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19620,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2)),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19619, 19618])).
% 12.94/13.13 tff(19621,plain,
% 12.94/13.13 ((~xuntil272(s1)) | until271(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19620, 222, 19526])).
% 12.94/13.13 tff(19622,plain,
% 12.94/13.13 (~xuntil272(s1)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19621, 19617])).
% 12.94/13.13 tff(19623,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s1) | node270(s1) | (~until271(s1)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19624,plain,
% 12.94/13.13 ((node270(s1) | (~until271(s1)) | xuntil272(s1)) <=> (xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19625,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s1) | node270(s1) | (~until271(s1))))),
% 12.94/13.13 inference(monotonicity,[status(thm)],[19624])).
% 12.94/13.13 tff(19626,plain,
% 12.94/13.13 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.94/13.13 inference(transitivity,[status(thm)],[19625, 19623])).
% 12.94/13.13 tff(19627,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19628,plain,
% 12.94/13.13 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 12.94/13.13 tff(19629,plain,
% 12.94/13.13 (node270(s1) | (~until271(s1))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19628, 19508, 19622])).
% 12.94/13.13 tff(19630,plain,
% 12.94/13.13 (~until271(s1)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19629, 19411])).
% 12.94/13.13 tff(19631,plain,
% 12.94/13.13 (^[X: $i] : refl((loop | (~last(X)) | (~always190(X))) <=> (loop | (~last(X)) | (~always190(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19632,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~always190(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19631])).
% 12.94/13.13 tff(19633,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~always190(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19634,plain,
% 12.94/13.13 (^[X: $i] : rewrite(((loop | (~always190(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always190(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19635,plain,
% 12.94/13.13 (![X: $i] : ((loop | (~always190(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19634])).
% 12.94/13.13 tff(19636,axiom,(![X: $i] : ((loop | (~always190(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty15')).
% 12.94/13.13 tff(19637,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 12.94/13.13 tff(19638,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19637, 19633])).
% 12.94/13.13 tff(19639,plain,(
% 12.94/13.13 ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(skolemize,[status(sab)],[19638])).
% 12.94/13.13 tff(19640,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19639, 19632])).
% 12.94/13.13 tff(19641,plain,
% 12.94/13.13 (((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | (loop | (~last(s9)) | (~always190(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | loop | (~last(s9)) | (~always190(s9)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19642,plain,
% 12.94/13.13 ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | (loop | (~last(s9)) | (~always190(s9)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19643,plain,
% 12.94/13.13 ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | loop | (~last(s9)) | (~always190(s9))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19642, 19641])).
% 12.94/13.13 tff(19644,plain,
% 12.94/13.13 (loop | (~always190(s9))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19643, 15950, 19640])).
% 12.94/13.13 tff(19645,plain,
% 12.94/13.13 (~always190(s9)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19644, 15937])).
% 12.94/13.13 tff(19646,plain,
% 12.94/13.13 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ((~trans(X, Y)) | always190(Y) | (~always190(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19647,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19646])).
% 12.94/13.13 tff(19648,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19649,plain,
% 12.94/13.13 (^[Y: $i, X: $i] : rewrite(((always190(Y) | (~trans(X, Y))) | (~always190(X))) <=> ((~trans(X, Y)) | always190(Y) | (~always190(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19650,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((always190(Y) | (~trans(X, Y))) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19649])).
% 12.94/13.13 tff(19651,axiom,(![Y: $i, X: $i] : ((always190(Y) | (~trans(X, Y))) | (~always190(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty14')).
% 12.94/13.13 tff(19652,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 12.94/13.13 tff(19653,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19652, 19648])).
% 12.94/13.13 tff(19654,plain,(
% 12.94/13.13 ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(skolemize,[status(sab)],[19653])).
% 12.94/13.13 tff(19655,plain,
% 12.94/13.13 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19654, 19647])).
% 12.94/13.13 tff(19656,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (always190(s9) | (~trans(s8, s9)) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19657,plain,
% 12.94/13.13 (((~trans(s8, s9)) | always190(s9) | (~always190(s8))) <=> (always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19658,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (always190(s9) | (~trans(s8, s9)) | (~always190(s8))))),
% 12.94/13.13 inference(monotonicity,[status(thm)],[19657])).
% 12.94/13.13 tff(19659,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.94/13.13 inference(transitivity,[status(thm)],[19658, 19656])).
% 12.94/13.13 tff(19660,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19661,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19660, 19659])).
% 12.94/13.13 tff(19662,plain,
% 12.94/13.13 (always190(s9) | (~always190(s8))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19661, 19655, 5508])).
% 12.94/13.13 tff(19663,plain,
% 12.94/13.13 (~always190(s8)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19662, 19645])).
% 12.94/13.13 tff(19664,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s7, s8)) | always190(s8) | (~always190(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s7, s8)) | always190(s8) | (~always190(s7)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19665,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s7, s8)) | always190(s8) | (~always190(s7)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19666,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s7, s8)) | always190(s8) | (~always190(s7))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 12.94/13.13 tff(19667,plain,
% 12.94/13.13 (always190(s8) | (~always190(s7))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19666, 19655, 5304])).
% 12.94/13.13 tff(19668,plain,
% 12.94/13.13 (~always190(s7)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19667, 19663])).
% 12.94/13.13 tff(19669,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s6, s7)) | always190(s7) | (~always190(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s6, s7)) | always190(s7) | (~always190(s6)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19670,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s6, s7)) | always190(s7) | (~always190(s6)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19671,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s6, s7)) | always190(s7) | (~always190(s6))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 12.94/13.13 tff(19672,plain,
% 12.94/13.13 (always190(s7) | (~always190(s6))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19671, 19655, 5162])).
% 12.94/13.13 tff(19673,plain,
% 12.94/13.13 (~always190(s6)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19672, 19668])).
% 12.94/13.13 tff(19674,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s5, s6)) | always190(s6) | (~always190(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s5, s6)) | always190(s6) | (~always190(s5)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19675,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s5, s6)) | always190(s6) | (~always190(s5)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19676,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s5, s6)) | always190(s6) | (~always190(s5))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 12.94/13.13 tff(19677,plain,
% 12.94/13.13 (always190(s6) | (~always190(s5))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19676, 19655, 15])).
% 12.94/13.13 tff(19678,plain,
% 12.94/13.13 (~always190(s5)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19677, 19673])).
% 12.94/13.13 tff(19679,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s4, s5)) | always190(s5) | (~always190(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s4, s5)) | always190(s5) | (~always190(s4)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19680,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s4, s5)) | always190(s5) | (~always190(s4)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19681,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s4, s5)) | always190(s5) | (~always190(s4))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 12.94/13.13 tff(19682,plain,
% 12.94/13.13 (always190(s5) | (~always190(s4))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19681, 19655, 4253])).
% 12.94/13.13 tff(19683,plain,
% 12.94/13.13 (~always190(s4)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19682, 19678])).
% 12.94/13.13 tff(19684,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s3, s4)) | always190(s4) | (~always190(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s3, s4)) | always190(s4) | (~always190(s3)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19685,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s3, s4)) | always190(s4) | (~always190(s3)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19686,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s3, s4)) | always190(s4) | (~always190(s3))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 12.94/13.13 tff(19687,plain,
% 12.94/13.13 (always190(s4) | (~always190(s3))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19686, 19655, 1179])).
% 12.94/13.13 tff(19688,plain,
% 12.94/13.13 (~always190(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19687, 19683])).
% 12.94/13.13 tff(19689,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s2, s3)) | always190(s3) | (~always190(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s2, s3)) | always190(s3) | (~always190(s2)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19690,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s2, s3)) | always190(s3) | (~always190(s2)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19691,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s2, s3)) | always190(s3) | (~always190(s2))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19690, 19689])).
% 12.94/13.13 tff(19692,plain,
% 12.94/13.13 (always190(s3) | (~always190(s2))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19691, 19655, 794])).
% 12.94/13.13 tff(19693,plain,
% 12.94/13.13 (~always190(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19692, 19688])).
% 12.94/13.13 tff(19694,plain,
% 12.94/13.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s1, s2)) | always190(s2) | (~always190(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s1, s2)) | always190(s2) | (~always190(s1)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19695,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s1, s2)) | always190(s2) | (~always190(s1)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19696,plain,
% 12.94/13.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s1, s2)) | always190(s2) | (~always190(s1))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19695, 19694])).
% 12.94/13.13 tff(19697,plain,
% 12.94/13.13 (always190(s2) | (~always190(s1))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19696, 19655, 226])).
% 12.94/13.13 tff(19698,plain,
% 12.94/13.13 (~always190(s1)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19697, 19693])).
% 12.94/13.13 tff(19699,plain,
% 12.94/13.13 (^[X: $i] : refl((always190(X) | (~node191(X))) <=> (always190(X) | (~node191(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19700,plain,
% 12.94/13.13 (![X: $i] : (always190(X) | (~node191(X))) <=> ![X: $i] : (always190(X) | (~node191(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19699])).
% 12.94/13.13 tff(19701,plain,
% 12.94/13.13 (![X: $i] : (always190(X) | (~node191(X))) <=> ![X: $i] : (always190(X) | (~node191(X)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19702,axiom,(![X: $i] : (always190(X) | (~node191(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty20')).
% 12.94/13.13 tff(19703,plain,
% 12.94/13.13 (![X: $i] : (always190(X) | (~node191(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19702, 19701])).
% 12.94/13.13 tff(19704,plain,(
% 12.94/13.13 ![X: $i] : (always190(X) | (~node191(X)))),
% 12.94/13.13 inference(skolemize,[status(sab)],[19703])).
% 12.94/13.13 tff(19705,plain,
% 12.94/13.13 (![X: $i] : (always190(X) | (~node191(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19704, 19700])).
% 12.94/13.13 tff(19706,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s1) | (~node191(s1)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s1) | (~node191(s1)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19707,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s1) | (~node191(s1)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19708,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s1) | (~node191(s1))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19707, 19706])).
% 12.94/13.13 tff(19709,plain,
% 12.94/13.13 (~node191(s1)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19708, 19705, 19698])).
% 12.94/13.13 tff(19710,plain,
% 12.94/13.13 (^[X: $i] : refl((node191(X) | until271(X) | (~node275(X))) <=> (node191(X) | until271(X) | (~node275(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19711,plain,
% 12.94/13.13 (![X: $i] : (node191(X) | until271(X) | (~node275(X))) <=> ![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19710])).
% 12.94/13.13 tff(19712,plain,
% 12.94/13.13 (![X: $i] : (node191(X) | until271(X) | (~node275(X))) <=> ![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19713,plain,
% 12.94/13.13 (^[X: $i] : rewrite(((node191(X) | until271(X)) | (~node275(X))) <=> (node191(X) | until271(X) | (~node275(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19714,plain,
% 12.94/13.13 (![X: $i] : ((node191(X) | until271(X)) | (~node275(X))) <=> ![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19713])).
% 12.94/13.13 tff(19715,axiom,(![X: $i] : ((node191(X) | until271(X)) | (~node275(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty199')).
% 12.94/13.13 tff(19716,plain,
% 12.94/13.13 (![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19715, 19714])).
% 12.94/13.13 tff(19717,plain,
% 12.94/13.13 (![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19716, 19712])).
% 12.94/13.13 tff(19718,plain,(
% 12.94/13.13 ![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(skolemize,[status(sab)],[19717])).
% 12.94/13.13 tff(19719,plain,
% 12.94/13.13 (![X: $i] : (node191(X) | until271(X) | (~node275(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19718, 19711])).
% 12.94/13.13 tff(19720,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s1) | until271(s1) | (~node275(s1)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s1) | until271(s1) | (~node275(s1)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19721,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s1) | until271(s1) | (~node275(s1)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19722,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s1) | until271(s1) | (~node275(s1))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 12.94/13.13 tff(19723,plain,
% 12.94/13.13 (until271(s1) | (~node275(s1))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19722, 19719, 19709])).
% 12.94/13.13 tff(19724,plain,
% 12.94/13.13 (~node275(s1)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19723, 19630])).
% 12.94/13.13 tff(19725,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s2) | (~node191(s2)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s2) | (~node191(s2)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19726,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s2) | (~node191(s2)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19727,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s2) | (~node191(s2))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 12.94/13.13 tff(19728,plain,
% 12.94/13.13 (~node191(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19727, 19705, 19693])).
% 12.94/13.13 tff(19729,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s2) | until271(s2) | (~node275(s2)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s2) | until271(s2) | (~node275(s2)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19730,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s2) | until271(s2) | (~node275(s2)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19731,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s2) | until271(s2) | (~node275(s2))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19730, 19729])).
% 12.94/13.13 tff(19732,plain,
% 12.94/13.13 (until271(s2) | (~node275(s2))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19731, 19719, 19728])).
% 12.94/13.13 tff(19733,plain,
% 12.94/13.13 (~node275(s2)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19732, 19617])).
% 12.94/13.13 tff(19734,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s3) | (~node191(s3)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s3) | (~node191(s3)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19735,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s3) | (~node191(s3)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19736,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s3) | (~node191(s3))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19735, 19734])).
% 12.94/13.13 tff(19737,plain,
% 12.94/13.13 (~node191(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19736, 19705, 19688])).
% 12.94/13.13 tff(19738,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s3) | until271(s3) | (~node275(s3)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s3) | until271(s3) | (~node275(s3)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19739,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s3) | until271(s3) | (~node275(s3)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19740,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s3) | until271(s3) | (~node275(s3))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 12.94/13.13 tff(19741,plain,
% 12.94/13.13 (until271(s3) | (~node275(s3))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19740, 19719, 19737])).
% 12.94/13.13 tff(19742,plain,
% 12.94/13.13 (~node275(s3)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19741, 19604])).
% 12.94/13.13 tff(19743,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s4) | (~node191(s4)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s4) | (~node191(s4)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19744,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s4) | (~node191(s4)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19745,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s4) | (~node191(s4))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19744, 19743])).
% 12.94/13.13 tff(19746,plain,
% 12.94/13.13 (~node191(s4)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19745, 19705, 19683])).
% 12.94/13.13 tff(19747,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s4) | until271(s4) | (~node275(s4)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s4) | until271(s4) | (~node275(s4)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19748,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s4) | until271(s4) | (~node275(s4)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19749,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s4) | until271(s4) | (~node275(s4))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 12.94/13.13 tff(19750,plain,
% 12.94/13.13 (until271(s4) | (~node275(s4))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19749, 19719, 19746])).
% 12.94/13.13 tff(19751,plain,
% 12.94/13.13 (~node275(s4)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19750, 19591])).
% 12.94/13.13 tff(19752,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s5) | (~node191(s5)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s5) | (~node191(s5)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19753,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s5) | (~node191(s5)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19754,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s5) | (~node191(s5))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 12.94/13.13 tff(19755,plain,
% 12.94/13.13 (~node191(s5)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19754, 19705, 19678])).
% 12.94/13.13 tff(19756,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s5) | until271(s5) | (~node275(s5)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s5) | until271(s5) | (~node275(s5)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19757,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s5) | until271(s5) | (~node275(s5)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19758,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s5) | until271(s5) | (~node275(s5))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 12.94/13.13 tff(19759,plain,
% 12.94/13.13 (until271(s5) | (~node275(s5))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19758, 19719, 19755])).
% 12.94/13.13 tff(19760,plain,
% 12.94/13.13 (~node275(s5)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19759, 19578])).
% 12.94/13.13 tff(19761,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s6) | (~node191(s6)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s6) | (~node191(s6)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19762,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s6) | (~node191(s6)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19763,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s6) | (~node191(s6))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 12.94/13.13 tff(19764,plain,
% 12.94/13.13 (~node191(s6)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19763, 19705, 19673])).
% 12.94/13.13 tff(19765,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s6) | until271(s6) | (~node275(s6)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s6) | until271(s6) | (~node275(s6)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19766,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s6) | until271(s6) | (~node275(s6)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19767,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s6) | until271(s6) | (~node275(s6))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 12.94/13.13 tff(19768,plain,
% 12.94/13.13 (until271(s6) | (~node275(s6))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19767, 19719, 19764])).
% 12.94/13.13 tff(19769,plain,
% 12.94/13.13 (~node275(s6)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19768, 19565])).
% 12.94/13.13 tff(19770,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s7) | (~node191(s7)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s7) | (~node191(s7)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19771,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s7) | (~node191(s7)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19772,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s7) | (~node191(s7))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19771, 19770])).
% 12.94/13.13 tff(19773,plain,
% 12.94/13.13 (~node191(s7)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19772, 19705, 19668])).
% 12.94/13.13 tff(19774,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s7) | until271(s7) | (~node275(s7)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s7) | until271(s7) | (~node275(s7)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19775,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s7) | until271(s7) | (~node275(s7)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19776,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s7) | until271(s7) | (~node275(s7))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 12.94/13.13 tff(19777,plain,
% 12.94/13.13 (until271(s7) | (~node275(s7))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19776, 19719, 19773])).
% 12.94/13.13 tff(19778,plain,
% 12.94/13.13 (~node275(s7)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19777, 19552])).
% 12.94/13.13 tff(19779,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s8) | (~node191(s8)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s8) | (~node191(s8)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19780,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s8) | (~node191(s8)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19781,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s8) | (~node191(s8))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 12.94/13.13 tff(19782,plain,
% 12.94/13.13 (~node191(s8)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19781, 19705, 19663])).
% 12.94/13.13 tff(19783,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s8) | until271(s8) | (~node275(s8)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s8) | until271(s8) | (~node275(s8)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19784,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s8) | until271(s8) | (~node275(s8)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19785,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s8) | until271(s8) | (~node275(s8))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19784, 19783])).
% 12.94/13.13 tff(19786,plain,
% 12.94/13.13 (until271(s8) | (~node275(s8))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19785, 19719, 19782])).
% 12.94/13.13 tff(19787,plain,
% 12.94/13.13 (~node275(s8)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19786, 19539])).
% 12.94/13.13 tff(19788,plain,
% 12.94/13.13 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s9) | (~node191(s9)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s9) | (~node191(s9)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19789,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s9) | (~node191(s9)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19790,plain,
% 12.94/13.13 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s9) | (~node191(s9))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 12.94/13.13 tff(19791,plain,
% 12.94/13.13 (~node191(s9)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19790, 19705, 19645])).
% 12.94/13.13 tff(19792,plain,
% 12.94/13.13 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s9) | until271(s9) | (~node275(s9)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s9) | until271(s9) | (~node275(s9)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19793,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s9) | until271(s9) | (~node275(s9)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19794,plain,
% 12.94/13.13 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s9) | until271(s9) | (~node275(s9))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 12.94/13.13 tff(19795,plain,
% 12.94/13.13 (until271(s9) | (~node275(s9))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19794, 19719, 19791])).
% 12.94/13.13 tff(19796,plain,
% 12.94/13.13 (~node275(s9)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19795, 19516])).
% 12.94/13.13 tff(19797,plain,
% 12.94/13.13 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil277(X))) <=> (loop | (~last(X)) | (~xuntil277(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19798,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~xuntil277(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19797])).
% 12.94/13.13 tff(19799,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~xuntil277(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19800,plain,
% 12.94/13.13 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil277(X))) <=> (loop | (~last(X)) | (~xuntil277(X))))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19801,plain,
% 12.94/13.13 (![X: $i] : ((loop | (~last(X))) | (~xuntil277(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19800])).
% 12.94/13.13 tff(19802,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil277(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty202')).
% 12.94/13.13 tff(19803,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19802, 19801])).
% 12.94/13.13 tff(19804,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19803, 19799])).
% 12.94/13.13 tff(19805,plain,(
% 12.94/13.13 ![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(skolemize,[status(sab)],[19804])).
% 12.94/13.13 tff(19806,plain,
% 12.94/13.13 (![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19805, 19798])).
% 12.94/13.13 tff(19807,plain,
% 12.94/13.13 (((~![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))) | (loop | (~last(s9)) | (~xuntil277(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))) | loop | (~last(s9)) | (~xuntil277(s9)))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.13 tff(19808,plain,
% 12.94/13.13 ((~![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))) | (loop | (~last(s9)) | (~xuntil277(s9)))),
% 12.94/13.13 inference(quant_inst,[status(thm)],[])).
% 12.94/13.13 tff(19809,plain,
% 12.94/13.13 ((~![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))) | loop | (~last(s9)) | (~xuntil277(s9))),
% 12.94/13.13 inference(modus_ponens,[status(thm)],[19808, 19807])).
% 12.94/13.13 tff(19810,plain,
% 12.94/13.13 (loop | (~xuntil277(s9))),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19809, 15950, 19806])).
% 12.94/13.13 tff(19811,plain,
% 12.94/13.13 (~xuntil277(s9)),
% 12.94/13.13 inference(unit_resolution,[status(thm)],[19810, 15937])).
% 12.94/13.13 tff(19812,plain,
% 12.94/13.13 (^[X: $i] : refl((node275(X) | (~until276(X)) | xuntil277(X)) <=> (node275(X) | (~until276(X)) | xuntil277(X)))),
% 12.94/13.13 inference(bind,[status(th)],[])).
% 12.94/13.13 tff(19813,plain,
% 12.94/13.13 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X)) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.13 inference(quant_intro,[status(thm)],[19812])).
% 12.94/13.13 tff(19814,plain,
% 12.94/13.13 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X)) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.13 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19815,plain,
% 12.94/13.14 (^[X: $i] : rewrite(((node275(X) | xuntil277(X)) | (~until276(X))) <=> (node275(X) | (~until276(X)) | xuntil277(X)))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19816,plain,
% 12.94/13.14 (![X: $i] : ((node275(X) | xuntil277(X)) | (~until276(X))) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19815])).
% 12.94/13.14 tff(19817,axiom,(![X: $i] : ((node275(X) | xuntil277(X)) | (~until276(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty200')).
% 12.94/13.14 tff(19818,plain,
% 12.94/13.14 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 12.94/13.14 tff(19819,plain,
% 12.94/13.14 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19818, 19814])).
% 12.94/13.14 tff(19820,plain,(
% 12.94/13.14 ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.14 inference(skolemize,[status(sab)],[19819])).
% 12.94/13.14 tff(19821,plain,
% 12.94/13.14 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19820, 19813])).
% 12.94/13.14 tff(19822,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s9) | node275(s9) | (~until276(s9)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19823,plain,
% 12.94/13.14 ((node275(s9) | (~until276(s9)) | xuntil277(s9)) <=> (xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19824,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s9) | node275(s9) | (~until276(s9))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19823])).
% 12.94/13.14 tff(19825,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19824, 19822])).
% 12.94/13.14 tff(19826,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19827,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 12.94/13.14 tff(19828,plain,
% 12.94/13.14 (node275(s9) | (~until276(s9))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19827, 19821, 19811])).
% 12.94/13.14 tff(19829,plain,
% 12.94/13.14 (~until276(s9)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19828, 19796])).
% 12.94/13.14 tff(19830,plain,
% 12.94/13.14 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19831,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19830])).
% 12.94/13.14 tff(19832,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19833,plain,
% 12.94/13.14 (^[Y: $i, X: $i] : rewrite(((until276(Y) | (~succ(X, Y))) | (~xuntil277(X))) <=> ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19834,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((until276(Y) | (~succ(X, Y))) | (~xuntil277(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19833])).
% 12.94/13.14 tff(19835,axiom,(![Y: $i, X: $i] : ((until276(Y) | (~succ(X, Y))) | (~xuntil277(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty201')).
% 12.94/13.14 tff(19836,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19835, 19834])).
% 12.94/13.14 tff(19837,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19836, 19832])).
% 12.94/13.14 tff(19838,plain,(
% 12.94/13.14 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(skolemize,[status(sab)],[19837])).
% 12.94/13.14 tff(19839,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19838, 19831])).
% 12.94/13.14 tff(19840,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19841,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19842,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 12.94/13.14 tff(19843,plain,
% 12.94/13.14 ((~xuntil277(s8)) | until276(s9)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19842, 5504, 19839])).
% 12.94/13.14 tff(19844,plain,
% 12.94/13.14 (~xuntil277(s8)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19843, 19829])).
% 12.94/13.14 tff(19845,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s8) | node275(s8) | (~until276(s8)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19846,plain,
% 12.94/13.14 ((node275(s8) | (~until276(s8)) | xuntil277(s8)) <=> (xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19847,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s8) | (~until276(s8)) | xuntil277(s8))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s8) | node275(s8) | (~until276(s8))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19846])).
% 12.94/13.14 tff(19848,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s8) | (~until276(s8)) | xuntil277(s8))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19847, 19845])).
% 12.94/13.14 tff(19849,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s8) | (~until276(s8)) | xuntil277(s8))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19850,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19849, 19848])).
% 12.94/13.14 tff(19851,plain,
% 12.94/13.14 (node275(s8) | (~until276(s8))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19850, 19821, 19844])).
% 12.94/13.14 tff(19852,plain,
% 12.94/13.14 (~until276(s8)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19851, 19787])).
% 12.94/13.14 tff(19853,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s7, s8)) | (~xuntil277(s7)) | until276(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s7, s8)) | (~xuntil277(s7)) | until276(s8))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19854,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s7, s8)) | (~xuntil277(s7)) | until276(s8))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19855,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s7, s8)) | (~xuntil277(s7)) | until276(s8)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 12.94/13.14 tff(19856,plain,
% 12.94/13.14 ((~xuntil277(s7)) | until276(s8)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19855, 5300, 19839])).
% 12.94/13.14 tff(19857,plain,
% 12.94/13.14 (~xuntil277(s7)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19856, 19852])).
% 12.94/13.14 tff(19858,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s7) | node275(s7) | (~until276(s7)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s7) | node275(s7) | (~until276(s7)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19859,plain,
% 12.94/13.14 ((node275(s7) | (~until276(s7)) | xuntil277(s7)) <=> (xuntil277(s7) | node275(s7) | (~until276(s7)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19860,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s7) | (~until276(s7)) | xuntil277(s7))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s7) | node275(s7) | (~until276(s7))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19859])).
% 12.94/13.14 tff(19861,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s7) | (~until276(s7)) | xuntil277(s7))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s7) | node275(s7) | (~until276(s7)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19860, 19858])).
% 12.94/13.14 tff(19862,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s7) | (~until276(s7)) | xuntil277(s7))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19863,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s7) | node275(s7) | (~until276(s7))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19862, 19861])).
% 12.94/13.14 tff(19864,plain,
% 12.94/13.14 (node275(s7) | (~until276(s7))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19863, 19821, 19857])).
% 12.94/13.14 tff(19865,plain,
% 12.94/13.14 (~until276(s7)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19864, 19778])).
% 12.94/13.14 tff(19866,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s6, s7)) | (~xuntil277(s6)) | until276(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s6, s7)) | (~xuntil277(s6)) | until276(s7))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19867,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s6, s7)) | (~xuntil277(s6)) | until276(s7))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19868,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s6, s7)) | (~xuntil277(s6)) | until276(s7)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 12.94/13.14 tff(19869,plain,
% 12.94/13.14 ((~xuntil277(s6)) | until276(s7)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19868, 5158, 19839])).
% 12.94/13.14 tff(19870,plain,
% 12.94/13.14 (~xuntil277(s6)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19869, 19865])).
% 12.94/13.14 tff(19871,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s6) | node275(s6) | (~until276(s6)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s6) | node275(s6) | (~until276(s6)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19872,plain,
% 12.94/13.14 ((node275(s6) | (~until276(s6)) | xuntil277(s6)) <=> (xuntil277(s6) | node275(s6) | (~until276(s6)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19873,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s6) | (~until276(s6)) | xuntil277(s6))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s6) | node275(s6) | (~until276(s6))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19872])).
% 12.94/13.14 tff(19874,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s6) | (~until276(s6)) | xuntil277(s6))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s6) | node275(s6) | (~until276(s6)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19873, 19871])).
% 12.94/13.14 tff(19875,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s6) | (~until276(s6)) | xuntil277(s6))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19876,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s6) | node275(s6) | (~until276(s6))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 12.94/13.14 tff(19877,plain,
% 12.94/13.14 (node275(s6) | (~until276(s6))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19876, 19821, 19870])).
% 12.94/13.14 tff(19878,plain,
% 12.94/13.14 (~until276(s6)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19877, 19769])).
% 12.94/13.14 tff(19879,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19880,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19881,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19880, 19879])).
% 12.94/13.14 tff(19882,plain,
% 12.94/13.14 ((~xuntil277(s5)) | until276(s6)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19881, 11, 19839])).
% 12.94/13.14 tff(19883,plain,
% 12.94/13.14 (~xuntil277(s5)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19882, 19878])).
% 12.94/13.14 tff(19884,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s5) | node275(s5) | (~until276(s5)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19885,plain,
% 12.94/13.14 ((node275(s5) | (~until276(s5)) | xuntil277(s5)) <=> (xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19886,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s5) | node275(s5) | (~until276(s5))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19885])).
% 12.94/13.14 tff(19887,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19886, 19884])).
% 12.94/13.14 tff(19888,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19889,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19888, 19887])).
% 12.94/13.14 tff(19890,plain,
% 12.94/13.14 (node275(s5) | (~until276(s5))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19889, 19821, 19883])).
% 12.94/13.14 tff(19891,plain,
% 12.94/13.14 (~until276(s5)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19890, 19760])).
% 12.94/13.14 tff(19892,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19893,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19894,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19893, 19892])).
% 12.94/13.14 tff(19895,plain,
% 12.94/13.14 ((~xuntil277(s4)) | until276(s5)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19894, 4249, 19839])).
% 12.94/13.14 tff(19896,plain,
% 12.94/13.14 (~xuntil277(s4)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19895, 19891])).
% 12.94/13.14 tff(19897,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s4) | node275(s4) | (~until276(s4)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19898,plain,
% 12.94/13.14 ((node275(s4) | (~until276(s4)) | xuntil277(s4)) <=> (xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19899,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s4) | node275(s4) | (~until276(s4))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19898])).
% 12.94/13.14 tff(19900,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19899, 19897])).
% 12.94/13.14 tff(19901,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19902,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 12.94/13.14 tff(19903,plain,
% 12.94/13.14 (node275(s4) | (~until276(s4))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19902, 19821, 19896])).
% 12.94/13.14 tff(19904,plain,
% 12.94/13.14 (~until276(s4)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19903, 19751])).
% 12.94/13.14 tff(19905,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19906,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19907,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 12.94/13.14 tff(19908,plain,
% 12.94/13.14 ((~xuntil277(s3)) | until276(s4)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19907, 1175, 19839])).
% 12.94/13.14 tff(19909,plain,
% 12.94/13.14 (~xuntil277(s3)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19908, 19904])).
% 12.94/13.14 tff(19910,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s3) | node275(s3) | (~until276(s3)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19911,plain,
% 12.94/13.14 ((node275(s3) | (~until276(s3)) | xuntil277(s3)) <=> (xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19912,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s3) | node275(s3) | (~until276(s3))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19911])).
% 12.94/13.14 tff(19913,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19912, 19910])).
% 12.94/13.14 tff(19914,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19915,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 12.94/13.14 tff(19916,plain,
% 12.94/13.14 (node275(s3) | (~until276(s3))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19915, 19821, 19909])).
% 12.94/13.14 tff(19917,plain,
% 12.94/13.14 (~until276(s3)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19916, 19742])).
% 12.94/13.14 tff(19918,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19919,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19920,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 12.94/13.14 tff(19921,plain,
% 12.94/13.14 ((~xuntil277(s2)) | until276(s3)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19920, 790, 19839])).
% 12.94/13.14 tff(19922,plain,
% 12.94/13.14 (~xuntil277(s2)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19921, 19917])).
% 12.94/13.14 tff(19923,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s2) | node275(s2) | (~until276(s2)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19924,plain,
% 12.94/13.14 ((node275(s2) | (~until276(s2)) | xuntil277(s2)) <=> (xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19925,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s2) | node275(s2) | (~until276(s2))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19924])).
% 12.94/13.14 tff(19926,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19925, 19923])).
% 12.94/13.14 tff(19927,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19928,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 12.94/13.14 tff(19929,plain,
% 12.94/13.14 (node275(s2) | (~until276(s2))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19928, 19821, 19922])).
% 12.94/13.14 tff(19930,plain,
% 12.94/13.14 (~until276(s2)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19929, 19733])).
% 12.94/13.14 tff(19931,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19932,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19933,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2)),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19932, 19931])).
% 12.94/13.14 tff(19934,plain,
% 12.94/13.14 ((~xuntil277(s1)) | until276(s2)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19933, 222, 19839])).
% 12.94/13.14 tff(19935,plain,
% 12.94/13.14 (~xuntil277(s1)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19934, 19930])).
% 12.94/13.14 tff(19936,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s1) | node275(s1) | (~until276(s1)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19937,plain,
% 12.94/13.14 ((node275(s1) | (~until276(s1)) | xuntil277(s1)) <=> (xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19938,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s1) | node275(s1) | (~until276(s1))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19937])).
% 12.94/13.14 tff(19939,plain,
% 12.94/13.14 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19938, 19936])).
% 12.94/13.14 tff(19940,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19941,plain,
% 12.94/13.14 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 12.94/13.14 tff(19942,plain,
% 12.94/13.14 (node275(s1) | (~until276(s1))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19941, 19821, 19935])).
% 12.94/13.14 tff(19943,plain,
% 12.94/13.14 (~until276(s1)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19942, 19724])).
% 12.94/13.14 tff(19944,plain,
% 12.94/13.14 (^[X: $i] : refl((loop | (~last(X)) | (~always188(X))) <=> (loop | (~last(X)) | (~always188(X))))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19945,plain,
% 12.94/13.14 (![X: $i] : (loop | (~last(X)) | (~always188(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19944])).
% 12.94/13.14 tff(19946,plain,
% 12.94/13.14 (![X: $i] : (loop | (~last(X)) | (~always188(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19947,plain,
% 12.94/13.14 (^[X: $i] : rewrite(((loop | (~always188(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always188(X))))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19948,plain,
% 12.94/13.14 (![X: $i] : ((loop | (~always188(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19947])).
% 12.94/13.14 tff(19949,axiom,(![X: $i] : ((loop | (~always188(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 12.94/13.14 tff(19950,plain,
% 12.94/13.14 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 12.94/13.14 tff(19951,plain,
% 12.94/13.14 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19950, 19946])).
% 12.94/13.14 tff(19952,plain,(
% 12.94/13.14 ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(skolemize,[status(sab)],[19951])).
% 12.94/13.14 tff(19953,plain,
% 12.94/13.14 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19952, 19945])).
% 12.94/13.14 tff(19954,plain,
% 12.94/13.14 (((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | (loop | (~last(s9)) | (~always188(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | loop | (~last(s9)) | (~always188(s9)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19955,plain,
% 12.94/13.14 ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | (loop | (~last(s9)) | (~always188(s9)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19956,plain,
% 12.94/13.14 ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | loop | (~last(s9)) | (~always188(s9))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19955, 19954])).
% 12.94/13.14 tff(19957,plain,
% 12.94/13.14 (loop | (~always188(s9))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19956, 15950, 19953])).
% 12.94/13.14 tff(19958,plain,
% 12.94/13.14 (~always188(s9)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19957, 15937])).
% 12.94/13.14 tff(19959,plain,
% 12.94/13.14 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ((~trans(X, Y)) | always188(Y) | (~always188(X))))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19960,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19959])).
% 12.94/13.14 tff(19961,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19962,plain,
% 12.94/13.14 (^[Y: $i, X: $i] : rewrite(((always188(Y) | (~trans(X, Y))) | (~always188(X))) <=> ((~trans(X, Y)) | always188(Y) | (~always188(X))))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(19963,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((always188(Y) | (~trans(X, Y))) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[19962])).
% 12.94/13.14 tff(19964,axiom,(![Y: $i, X: $i] : ((always188(Y) | (~trans(X, Y))) | (~always188(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 12.94/13.14 tff(19965,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19964, 19963])).
% 12.94/13.14 tff(19966,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19965, 19961])).
% 12.94/13.14 tff(19967,plain,(
% 12.94/13.14 ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(skolemize,[status(sab)],[19966])).
% 12.94/13.14 tff(19968,plain,
% 12.94/13.14 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19967, 19960])).
% 12.94/13.14 tff(19969,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (always188(s9) | (~trans(s8, s9)) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19970,plain,
% 12.94/13.14 (((~trans(s8, s9)) | always188(s9) | (~always188(s8))) <=> (always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19971,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (always188(s9) | (~trans(s8, s9)) | (~always188(s8))))),
% 12.94/13.14 inference(monotonicity,[status(thm)],[19970])).
% 12.94/13.14 tff(19972,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.94/13.14 inference(transitivity,[status(thm)],[19971, 19969])).
% 12.94/13.14 tff(19973,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19974,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 12.94/13.14 tff(19975,plain,
% 12.94/13.14 (always188(s9) | (~always188(s8))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19974, 19968, 5508])).
% 12.94/13.14 tff(19976,plain,
% 12.94/13.14 (~always188(s8)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19975, 19958])).
% 12.94/13.14 tff(19977,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s7, s8)) | always188(s8) | (~always188(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s7, s8)) | always188(s8) | (~always188(s7)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19978,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s7, s8)) | always188(s8) | (~always188(s7)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19979,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s7, s8)) | always188(s8) | (~always188(s7))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 12.94/13.14 tff(19980,plain,
% 12.94/13.14 (always188(s8) | (~always188(s7))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19979, 19968, 5304])).
% 12.94/13.14 tff(19981,plain,
% 12.94/13.14 (~always188(s7)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19980, 19976])).
% 12.94/13.14 tff(19982,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s6, s7)) | always188(s7) | (~always188(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s6, s7)) | always188(s7) | (~always188(s6)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19983,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s6, s7)) | always188(s7) | (~always188(s6)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19984,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s6, s7)) | always188(s7) | (~always188(s6))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19983, 19982])).
% 12.94/13.14 tff(19985,plain,
% 12.94/13.14 (always188(s7) | (~always188(s6))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19984, 19968, 5162])).
% 12.94/13.14 tff(19986,plain,
% 12.94/13.14 (~always188(s6)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19985, 19981])).
% 12.94/13.14 tff(19987,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s5, s6)) | always188(s6) | (~always188(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s5, s6)) | always188(s6) | (~always188(s5)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19988,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s5, s6)) | always188(s6) | (~always188(s5)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19989,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s5, s6)) | always188(s6) | (~always188(s5))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 12.94/13.14 tff(19990,plain,
% 12.94/13.14 (always188(s6) | (~always188(s5))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19989, 19968, 15])).
% 12.94/13.14 tff(19991,plain,
% 12.94/13.14 (~always188(s5)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19990, 19986])).
% 12.94/13.14 tff(19992,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s4, s5)) | always188(s5) | (~always188(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s4, s5)) | always188(s5) | (~always188(s4)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19993,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s4, s5)) | always188(s5) | (~always188(s4)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19994,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s4, s5)) | always188(s5) | (~always188(s4))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19993, 19992])).
% 12.94/13.14 tff(19995,plain,
% 12.94/13.14 (always188(s5) | (~always188(s4))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19994, 19968, 4253])).
% 12.94/13.14 tff(19996,plain,
% 12.94/13.14 (~always188(s4)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19995, 19991])).
% 12.94/13.14 tff(19997,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s3, s4)) | always188(s4) | (~always188(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s3, s4)) | always188(s4) | (~always188(s3)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(19998,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s3, s4)) | always188(s4) | (~always188(s3)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(19999,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s3, s4)) | always188(s4) | (~always188(s3))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 12.94/13.14 tff(20000,plain,
% 12.94/13.14 (always188(s4) | (~always188(s3))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[19999, 19968, 1179])).
% 12.94/13.14 tff(20001,plain,
% 12.94/13.14 (~always188(s3)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[20000, 19996])).
% 12.94/13.14 tff(20002,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s2, s3)) | always188(s3) | (~always188(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s2, s3)) | always188(s3) | (~always188(s2)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(20003,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s2, s3)) | always188(s3) | (~always188(s2)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(20004,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s2, s3)) | always188(s3) | (~always188(s2))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 12.94/13.14 tff(20005,plain,
% 12.94/13.14 (always188(s3) | (~always188(s2))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[20004, 19968, 794])).
% 12.94/13.14 tff(20006,plain,
% 12.94/13.14 (~always188(s2)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[20005, 20001])).
% 12.94/13.14 tff(20007,plain,
% 12.94/13.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s1, s2)) | always188(s2) | (~always188(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s1, s2)) | always188(s2) | (~always188(s1)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(20008,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s1, s2)) | always188(s2) | (~always188(s1)))),
% 12.94/13.14 inference(quant_inst,[status(thm)],[])).
% 12.94/13.14 tff(20009,plain,
% 12.94/13.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s1, s2)) | always188(s2) | (~always188(s1))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 12.94/13.14 tff(20010,plain,
% 12.94/13.14 (always188(s2) | (~always188(s1))),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[20009, 19968, 226])).
% 12.94/13.14 tff(20011,plain,
% 12.94/13.14 (~always188(s1)),
% 12.94/13.14 inference(unit_resolution,[status(thm)],[20010, 20006])).
% 12.94/13.14 tff(20012,plain,
% 12.94/13.14 (^[X: $i] : refl((always188(X) | (~node189(X))) <=> (always188(X) | (~node189(X))))),
% 12.94/13.14 inference(bind,[status(th)],[])).
% 12.94/13.14 tff(20013,plain,
% 12.94/13.14 (![X: $i] : (always188(X) | (~node189(X))) <=> ![X: $i] : (always188(X) | (~node189(X)))),
% 12.94/13.14 inference(quant_intro,[status(thm)],[20012])).
% 12.94/13.14 tff(20014,plain,
% 12.94/13.14 (![X: $i] : (always188(X) | (~node189(X))) <=> ![X: $i] : (always188(X) | (~node189(X)))),
% 12.94/13.14 inference(rewrite,[status(thm)],[])).
% 12.94/13.14 tff(20015,axiom,(![X: $i] : (always188(X) | (~node189(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty12')).
% 12.94/13.14 tff(20016,plain,
% 12.94/13.14 (![X: $i] : (always188(X) | (~node189(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 12.94/13.14 tff(20017,plain,(
% 12.94/13.14 ![X: $i] : (always188(X) | (~node189(X)))),
% 12.94/13.14 inference(skolemize,[status(sab)],[20016])).
% 12.94/13.14 tff(20018,plain,
% 12.94/13.14 (![X: $i] : (always188(X) | (~node189(X)))),
% 12.94/13.14 inference(modus_ponens,[status(thm)],[20017, 20013])).
% 12.94/13.14 tff(20019,plain,
% 12.94/13.14 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s1) | (~node189(s1)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s1) | (~node189(s1)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20020,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s1) | (~node189(s1)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20021,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s1) | (~node189(s1))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 12.94/13.15 tff(20022,plain,
% 12.94/13.15 (~node189(s1)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20021, 20018, 20011])).
% 12.94/13.15 tff(20023,plain,
% 12.94/13.15 (^[X: $i] : refl((node189(X) | until276(X) | (~node280(X))) <=> (node189(X) | until276(X) | (~node280(X))))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20024,plain,
% 12.94/13.15 (![X: $i] : (node189(X) | until276(X) | (~node280(X))) <=> ![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20023])).
% 12.94/13.15 tff(20025,plain,
% 12.94/13.15 (![X: $i] : (node189(X) | until276(X) | (~node280(X))) <=> ![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20026,plain,
% 12.94/13.15 (^[X: $i] : rewrite(((node189(X) | until276(X)) | (~node280(X))) <=> (node189(X) | until276(X) | (~node280(X))))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20027,plain,
% 12.94/13.15 (![X: $i] : ((node189(X) | until276(X)) | (~node280(X))) <=> ![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20026])).
% 12.94/13.15 tff(20028,axiom,(![X: $i] : ((node189(X) | until276(X)) | (~node280(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty207')).
% 12.94/13.15 tff(20029,plain,
% 12.94/13.15 (![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 12.94/13.15 tff(20030,plain,
% 12.94/13.15 (![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20029, 20025])).
% 12.94/13.15 tff(20031,plain,(
% 12.94/13.15 ![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(skolemize,[status(sab)],[20030])).
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% 12.94/13.15 (![X: $i] : (node189(X) | until276(X) | (~node280(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20031, 20024])).
% 12.94/13.15 tff(20033,plain,
% 12.94/13.15 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s1) | until276(s1) | (~node280(s1)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s1) | until276(s1) | (~node280(s1)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20034,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s1) | until276(s1) | (~node280(s1)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20035,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s1) | until276(s1) | (~node280(s1))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 12.94/13.15 tff(20036,plain,
% 12.94/13.15 (until276(s1) | (~node280(s1))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20035, 20032, 20022])).
% 12.94/13.15 tff(20037,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20036, 19943])).
% 12.94/13.15 tff(20038,plain,
% 12.94/13.15 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s2) | (~node189(s2)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s2) | (~node189(s2)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20039,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s2) | (~node189(s2)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20040,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s2) | (~node189(s2))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 12.94/13.15 tff(20041,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20040, 20018, 20006])).
% 12.94/13.15 tff(20042,plain,
% 12.94/13.15 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s2) | until276(s2) | (~node280(s2)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s2) | until276(s2) | (~node280(s2)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20043,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s2) | until276(s2) | (~node280(s2)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20044,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s2) | until276(s2) | (~node280(s2))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20043, 20042])).
% 12.94/13.15 tff(20045,plain,
% 12.94/13.15 (until276(s2) | (~node280(s2))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20044, 20032, 20041])).
% 12.94/13.15 tff(20046,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20045, 19930])).
% 12.94/13.15 tff(20047,plain,
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20048,plain,
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20049,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s3) | (~node189(s3))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 12.94/13.15 tff(20050,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20049, 20018, 20001])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20052,plain,
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20053,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s3) | until276(s3) | (~node280(s3))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 12.94/13.15 tff(20054,plain,
% 12.94/13.15 (until276(s3) | (~node280(s3))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20053, 20032, 20050])).
% 12.94/13.15 tff(20055,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20054, 19917])).
% 12.94/13.15 tff(20056,plain,
% 12.94/13.15 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s4) | (~node189(s4)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s4) | (~node189(s4)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20057,plain,
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20058,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s4) | (~node189(s4))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 12.94/13.15 tff(20059,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20058, 20018, 19996])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20062,plain,
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% 12.94/13.15 inference(modus_ponens,[status(thm)],[20061, 20060])).
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% 12.94/13.15 (until276(s4) | (~node280(s4))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20062, 20032, 20059])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20063, 19904])).
% 12.94/13.15 tff(20065,plain,
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20067,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s5) | (~node189(s5))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 12.94/13.15 tff(20068,plain,
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20067, 20018, 19991])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20071,plain,
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% 12.94/13.15 inference(modus_ponens,[status(thm)],[20070, 20069])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20071, 20032, 20068])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20072, 19891])).
% 12.94/13.15 tff(20074,plain,
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20076,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s6) | (~node189(s6))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20075, 20074])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20076, 20018, 19986])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.15 inference(modus_ponens,[status(thm)],[20079, 20078])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20080, 20032, 20077])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20081, 19878])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20085, 20018, 19981])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20089, 20032, 20086])).
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% 12.94/13.15 inference(rewrite,[status(thm)],[])).
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% 12.94/13.15 inference(unit_resolution,[status(thm)],[20094, 20018, 19976])).
% 12.94/13.15 tff(20096,plain,
% 12.94/13.15 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s8) | until276(s8) | (~node280(s8)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s8) | until276(s8) | (~node280(s8)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20097,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s8) | until276(s8) | (~node280(s8)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20098,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s8) | until276(s8) | (~node280(s8))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 12.94/13.15 tff(20099,plain,
% 12.94/13.15 (until276(s8) | (~node280(s8))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20098, 20032, 20095])).
% 12.94/13.15 tff(20100,plain,
% 12.94/13.15 (~node280(s8)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20099, 19852])).
% 12.94/13.15 tff(20101,plain,
% 12.94/13.15 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s9) | (~node189(s9)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s9) | (~node189(s9)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20102,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s9) | (~node189(s9)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20103,plain,
% 12.94/13.15 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s9) | (~node189(s9))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20102, 20101])).
% 12.94/13.15 tff(20104,plain,
% 12.94/13.15 (~node189(s9)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20103, 20018, 19958])).
% 12.94/13.15 tff(20105,plain,
% 12.94/13.15 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s9) | until276(s9) | (~node280(s9)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s9) | until276(s9) | (~node280(s9)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20106,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s9) | until276(s9) | (~node280(s9)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20107,plain,
% 12.94/13.15 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s9) | until276(s9) | (~node280(s9))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 12.94/13.15 tff(20108,plain,
% 12.94/13.15 (until276(s9) | (~node280(s9))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20107, 20032, 20104])).
% 12.94/13.15 tff(20109,plain,
% 12.94/13.15 (~node280(s9)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20108, 19829])).
% 12.94/13.15 tff(20110,plain,
% 12.94/13.15 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil282(X))) <=> (loop | (~last(X)) | (~xuntil282(X))))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20111,plain,
% 12.94/13.15 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20110])).
% 12.94/13.15 tff(20112,plain,
% 12.94/13.15 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20113,plain,
% 12.94/13.15 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil282(X))) <=> (loop | (~last(X)) | (~xuntil282(X))))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20114,plain,
% 12.94/13.15 (![X: $i] : ((loop | (~last(X))) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20113])).
% 12.94/13.15 tff(20115,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil282(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty210')).
% 12.94/13.15 tff(20116,plain,
% 12.94/13.15 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20115, 20114])).
% 12.94/13.15 tff(20117,plain,
% 12.94/13.15 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20116, 20112])).
% 12.94/13.15 tff(20118,plain,(
% 12.94/13.15 ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(skolemize,[status(sab)],[20117])).
% 12.94/13.15 tff(20119,plain,
% 12.94/13.15 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20118, 20111])).
% 12.94/13.15 tff(20120,plain,
% 12.94/13.15 (((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | (loop | (~last(s9)) | (~xuntil282(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | loop | (~last(s9)) | (~xuntil282(s9)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20121,plain,
% 12.94/13.15 ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | (loop | (~last(s9)) | (~xuntil282(s9)))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20122,plain,
% 12.94/13.15 ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | loop | (~last(s9)) | (~xuntil282(s9))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20121, 20120])).
% 12.94/13.15 tff(20123,plain,
% 12.94/13.15 (loop | (~xuntil282(s9))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20122, 15950, 20119])).
% 12.94/13.15 tff(20124,plain,
% 12.94/13.15 (~xuntil282(s9)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20123, 15937])).
% 12.94/13.15 tff(20125,plain,
% 12.94/13.15 (^[X: $i] : refl((node280(X) | (~until281(X)) | xuntil282(X)) <=> (node280(X) | (~until281(X)) | xuntil282(X)))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20126,plain,
% 12.94/13.15 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X)) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20125])).
% 12.94/13.15 tff(20127,plain,
% 12.94/13.15 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X)) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20128,plain,
% 12.94/13.15 (^[X: $i] : rewrite(((node280(X) | xuntil282(X)) | (~until281(X))) <=> (node280(X) | (~until281(X)) | xuntil282(X)))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20129,plain,
% 12.94/13.15 (![X: $i] : ((node280(X) | xuntil282(X)) | (~until281(X))) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20128])).
% 12.94/13.15 tff(20130,axiom,(![X: $i] : ((node280(X) | xuntil282(X)) | (~until281(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty208')).
% 12.94/13.15 tff(20131,plain,
% 12.94/13.15 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20130, 20129])).
% 12.94/13.15 tff(20132,plain,
% 12.94/13.15 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20131, 20127])).
% 12.94/13.15 tff(20133,plain,(
% 12.94/13.15 ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(skolemize,[status(sab)],[20132])).
% 12.94/13.15 tff(20134,plain,
% 12.94/13.15 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20133, 20126])).
% 12.94/13.15 tff(20135,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s9) | node280(s9) | (~until281(s9)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20136,plain,
% 12.94/13.15 ((node280(s9) | (~until281(s9)) | xuntil282(s9)) <=> (xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20137,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s9) | node280(s9) | (~until281(s9))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20136])).
% 12.94/13.15 tff(20138,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20137, 20135])).
% 12.94/13.15 tff(20139,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20140,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20139, 20138])).
% 12.94/13.15 tff(20141,plain,
% 12.94/13.15 (node280(s9) | (~until281(s9))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20140, 20134, 20124])).
% 12.94/13.15 tff(20142,plain,
% 12.94/13.15 (~until281(s9)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20141, 20109])).
% 12.94/13.15 tff(20143,plain,
% 12.94/13.15 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20144,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20143])).
% 12.94/13.15 tff(20145,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20146,plain,
% 12.94/13.15 (^[Y: $i, X: $i] : rewrite(((until281(Y) | (~succ(X, Y))) | (~xuntil282(X))) <=> ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)))),
% 12.94/13.15 inference(bind,[status(th)],[])).
% 12.94/13.15 tff(20147,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((until281(Y) | (~succ(X, Y))) | (~xuntil282(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(quant_intro,[status(thm)],[20146])).
% 12.94/13.15 tff(20148,axiom,(![Y: $i, X: $i] : ((until281(Y) | (~succ(X, Y))) | (~xuntil282(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty209')).
% 12.94/13.15 tff(20149,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 12.94/13.15 tff(20150,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20149, 20145])).
% 12.94/13.15 tff(20151,plain,(
% 12.94/13.15 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(skolemize,[status(sab)],[20150])).
% 12.94/13.15 tff(20152,plain,
% 12.94/13.15 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20151, 20144])).
% 12.94/13.15 tff(20153,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20154,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20155,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 12.94/13.15 tff(20156,plain,
% 12.94/13.15 ((~xuntil282(s8)) | until281(s9)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20155, 5504, 20152])).
% 12.94/13.15 tff(20157,plain,
% 12.94/13.15 (~xuntil282(s8)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20156, 20142])).
% 12.94/13.15 tff(20158,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s8) | node280(s8) | (~until281(s8)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20159,plain,
% 12.94/13.15 ((node280(s8) | (~until281(s8)) | xuntil282(s8)) <=> (xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20160,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s8) | node280(s8) | (~until281(s8))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20159])).
% 12.94/13.15 tff(20161,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20160, 20158])).
% 12.94/13.15 tff(20162,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20163,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 12.94/13.15 tff(20164,plain,
% 12.94/13.15 (node280(s8) | (~until281(s8))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20163, 20134, 20157])).
% 12.94/13.15 tff(20165,plain,
% 12.94/13.15 (~until281(s8)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20164, 20100])).
% 12.94/13.15 tff(20166,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20167,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20168,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20167, 20166])).
% 12.94/13.15 tff(20169,plain,
% 12.94/13.15 ((~xuntil282(s7)) | until281(s8)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20168, 5300, 20152])).
% 12.94/13.15 tff(20170,plain,
% 12.94/13.15 (~xuntil282(s7)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20169, 20165])).
% 12.94/13.15 tff(20171,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s7) | node280(s7) | (~until281(s7)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20172,plain,
% 12.94/13.15 ((node280(s7) | (~until281(s7)) | xuntil282(s7)) <=> (xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20173,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s7) | node280(s7) | (~until281(s7))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20172])).
% 12.94/13.15 tff(20174,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20173, 20171])).
% 12.94/13.15 tff(20175,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20176,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 12.94/13.15 tff(20177,plain,
% 12.94/13.15 (node280(s7) | (~until281(s7))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20176, 20134, 20170])).
% 12.94/13.15 tff(20178,plain,
% 12.94/13.15 (~until281(s7)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20177, 20091])).
% 12.94/13.15 tff(20179,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20180,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20181,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 12.94/13.15 tff(20182,plain,
% 12.94/13.15 ((~xuntil282(s6)) | until281(s7)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20181, 5158, 20152])).
% 12.94/13.15 tff(20183,plain,
% 12.94/13.15 (~xuntil282(s6)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20182, 20178])).
% 12.94/13.15 tff(20184,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s6) | node280(s6) | (~until281(s6)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20185,plain,
% 12.94/13.15 ((node280(s6) | (~until281(s6)) | xuntil282(s6)) <=> (xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20186,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s6) | node280(s6) | (~until281(s6))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20185])).
% 12.94/13.15 tff(20187,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20186, 20184])).
% 12.94/13.15 tff(20188,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20189,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 12.94/13.15 tff(20190,plain,
% 12.94/13.15 (node280(s6) | (~until281(s6))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20189, 20134, 20183])).
% 12.94/13.15 tff(20191,plain,
% 12.94/13.15 (~until281(s6)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20190, 20082])).
% 12.94/13.15 tff(20192,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20193,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20194,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20193, 20192])).
% 12.94/13.15 tff(20195,plain,
% 12.94/13.15 ((~xuntil282(s5)) | until281(s6)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20194, 11, 20152])).
% 12.94/13.15 tff(20196,plain,
% 12.94/13.15 (~xuntil282(s5)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20195, 20191])).
% 12.94/13.15 tff(20197,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s5) | node280(s5) | (~until281(s5)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20198,plain,
% 12.94/13.15 ((node280(s5) | (~until281(s5)) | xuntil282(s5)) <=> (xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20199,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s5) | node280(s5) | (~until281(s5))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20198])).
% 12.94/13.15 tff(20200,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20199, 20197])).
% 12.94/13.15 tff(20201,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20202,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 12.94/13.15 tff(20203,plain,
% 12.94/13.15 (node280(s5) | (~until281(s5))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20202, 20134, 20196])).
% 12.94/13.15 tff(20204,plain,
% 12.94/13.15 (~until281(s5)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20203, 20073])).
% 12.94/13.15 tff(20205,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20206,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20207,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 12.94/13.15 tff(20208,plain,
% 12.94/13.15 ((~xuntil282(s4)) | until281(s5)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20207, 4249, 20152])).
% 12.94/13.15 tff(20209,plain,
% 12.94/13.15 (~xuntil282(s4)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20208, 20204])).
% 12.94/13.15 tff(20210,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s4) | node280(s4) | (~until281(s4)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20211,plain,
% 12.94/13.15 ((node280(s4) | (~until281(s4)) | xuntil282(s4)) <=> (xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20212,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s4) | node280(s4) | (~until281(s4))))),
% 12.94/13.15 inference(monotonicity,[status(thm)],[20211])).
% 12.94/13.15 tff(20213,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.94/13.15 inference(transitivity,[status(thm)],[20212, 20210])).
% 12.94/13.15 tff(20214,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20215,plain,
% 12.94/13.15 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4))),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 12.94/13.15 tff(20216,plain,
% 12.94/13.15 (node280(s4) | (~until281(s4))),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20215, 20134, 20209])).
% 12.94/13.15 tff(20217,plain,
% 12.94/13.15 (~until281(s4)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20216, 20064])).
% 12.94/13.15 tff(20218,plain,
% 12.94/13.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20219,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))),
% 12.94/13.15 inference(quant_inst,[status(thm)],[])).
% 12.94/13.15 tff(20220,plain,
% 12.94/13.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4)),
% 12.94/13.15 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 12.94/13.15 tff(20221,plain,
% 12.94/13.15 ((~xuntil282(s3)) | until281(s4)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20220, 1175, 20152])).
% 12.94/13.15 tff(20222,plain,
% 12.94/13.15 (~xuntil282(s3)),
% 12.94/13.15 inference(unit_resolution,[status(thm)],[20221, 20217])).
% 12.94/13.15 tff(20223,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s3) | node280(s3) | (~until281(s3)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20224,plain,
% 12.94/13.15 ((node280(s3) | (~until281(s3)) | xuntil282(s3)) <=> (xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.94/13.15 inference(rewrite,[status(thm)],[])).
% 12.94/13.15 tff(20225,plain,
% 12.94/13.15 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s3) | node280(s3) | (~until281(s3))))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20224])).
% 12.94/13.16 tff(20226,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20225, 20223])).
% 12.94/13.16 tff(20227,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20228,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20227, 20226])).
% 12.94/13.16 tff(20229,plain,
% 12.94/13.16 (node280(s3) | (~until281(s3))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20228, 20134, 20222])).
% 12.94/13.16 tff(20230,plain,
% 12.94/13.16 (~until281(s3)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20229, 20055])).
% 12.94/13.16 tff(20231,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20232,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20233,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20232, 20231])).
% 12.94/13.16 tff(20234,plain,
% 12.94/13.16 ((~xuntil282(s2)) | until281(s3)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20233, 790, 20152])).
% 12.94/13.16 tff(20235,plain,
% 12.94/13.16 (~xuntil282(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20234, 20230])).
% 12.94/13.16 tff(20236,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s2) | node280(s2) | (~until281(s2)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20237,plain,
% 12.94/13.16 ((node280(s2) | (~until281(s2)) | xuntil282(s2)) <=> (xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20238,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s2) | node280(s2) | (~until281(s2))))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20237])).
% 12.94/13.16 tff(20239,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20238, 20236])).
% 12.94/13.16 tff(20240,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20241,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20240, 20239])).
% 12.94/13.16 tff(20242,plain,
% 12.94/13.16 (node280(s2) | (~until281(s2))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20241, 20134, 20235])).
% 12.94/13.16 tff(20243,plain,
% 12.94/13.16 (~until281(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20242, 20046])).
% 12.94/13.16 tff(20244,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20245,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20246,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20245, 20244])).
% 12.94/13.16 tff(20247,plain,
% 12.94/13.16 ((~xuntil282(s1)) | until281(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20246, 222, 20152])).
% 12.94/13.16 tff(20248,plain,
% 12.94/13.16 (~xuntil282(s1)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20247, 20243])).
% 12.94/13.16 tff(20249,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s1) | node280(s1) | (~until281(s1)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20250,plain,
% 12.94/13.16 ((node280(s1) | (~until281(s1)) | xuntil282(s1)) <=> (xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20251,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s1) | node280(s1) | (~until281(s1))))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20250])).
% 12.94/13.16 tff(20252,plain,
% 12.94/13.16 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20251, 20249])).
% 12.94/13.16 tff(20253,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20254,plain,
% 12.94/13.16 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20253, 20252])).
% 12.94/13.16 tff(20255,plain,
% 12.94/13.16 (node280(s1) | (~until281(s1))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20254, 20134, 20248])).
% 12.94/13.16 tff(20256,plain,
% 12.94/13.16 (~until281(s1)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20255, 20037])).
% 12.94/13.16 tff(20257,plain,
% 12.94/13.16 (^[X: $i] : refl((loop | (~last(X)) | (~always186(X))) <=> (loop | (~last(X)) | (~always186(X))))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20258,plain,
% 12.94/13.16 (![X: $i] : (loop | (~last(X)) | (~always186(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20257])).
% 12.94/13.16 tff(20259,plain,
% 12.94/13.16 (![X: $i] : (loop | (~last(X)) | (~always186(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20260,plain,
% 12.94/13.16 (^[X: $i] : rewrite(((loop | (~always186(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always186(X))))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20261,plain,
% 12.94/13.16 (![X: $i] : ((loop | (~always186(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20260])).
% 12.94/13.16 tff(20262,axiom,(![X: $i] : ((loop | (~always186(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 12.94/13.16 tff(20263,plain,
% 12.94/13.16 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 12.94/13.16 tff(20264,plain,
% 12.94/13.16 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20263, 20259])).
% 12.94/13.16 tff(20265,plain,(
% 12.94/13.16 ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(skolemize,[status(sab)],[20264])).
% 12.94/13.16 tff(20266,plain,
% 12.94/13.16 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20265, 20258])).
% 12.94/13.16 tff(20267,plain,
% 12.94/13.16 (((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | (loop | (~last(s9)) | (~always186(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | loop | (~last(s9)) | (~always186(s9)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20268,plain,
% 12.94/13.16 ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | (loop | (~last(s9)) | (~always186(s9)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20269,plain,
% 12.94/13.16 ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | loop | (~last(s9)) | (~always186(s9))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 12.94/13.16 tff(20270,plain,
% 12.94/13.16 (loop | (~always186(s9))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20269, 15950, 20266])).
% 12.94/13.16 tff(20271,plain,
% 12.94/13.16 (~always186(s9)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20270, 15937])).
% 12.94/13.16 tff(20272,plain,
% 12.94/13.16 (^[Y: $i, X: $i] : refl(((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ((~always186(X)) | (~trans(X, Y)) | always186(Y)))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20273,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20272])).
% 12.94/13.16 tff(20274,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20275,plain,
% 12.94/13.16 (^[Y: $i, X: $i] : rewrite(((always186(Y) | (~trans(X, Y))) | (~always186(X))) <=> ((~always186(X)) | (~trans(X, Y)) | always186(Y)))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20276,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((always186(Y) | (~trans(X, Y))) | (~always186(X))) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20275])).
% 12.94/13.16 tff(20277,axiom,(![Y: $i, X: $i] : ((always186(Y) | (~trans(X, Y))) | (~always186(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 12.94/13.16 tff(20278,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20277, 20276])).
% 12.94/13.16 tff(20279,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20278, 20274])).
% 12.94/13.16 tff(20280,plain,(
% 12.94/13.16 ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(skolemize,[status(sab)],[20279])).
% 12.94/13.16 tff(20281,plain,
% 12.94/13.16 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20280, 20273])).
% 12.94/13.16 tff(20282,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (always186(s9) | (~trans(s8, s9)) | (~always186(s8)))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20283,plain,
% 12.94/13.16 (((~always186(s8)) | (~trans(s8, s9)) | always186(s9)) <=> (always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20284,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (always186(s9) | (~trans(s8, s9)) | (~always186(s8))))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20283])).
% 12.94/13.16 tff(20285,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20284, 20282])).
% 12.94/13.16 tff(20286,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20287,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 12.94/13.16 tff(20288,plain,
% 12.94/13.16 (always186(s9) | (~always186(s8))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20287, 20281, 5508])).
% 12.94/13.16 tff(20289,plain,
% 12.94/13.16 (~always186(s8)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20288, 20271])).
% 12.94/13.16 tff(20290,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s7, s8)) | (~always186(s7)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20291,plain,
% 12.94/13.16 (((~always186(s7)) | (~trans(s7, s8)) | always186(s8)) <=> ((~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20292,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s7, s8)) | (~always186(s7)) | always186(s8)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20291])).
% 12.94/13.16 tff(20293,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20292, 20290])).
% 12.94/13.16 tff(20294,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20295,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 12.94/13.16 tff(20296,plain,
% 12.94/13.16 ((~always186(s7)) | always186(s8)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20295, 20281, 5304])).
% 12.94/13.16 tff(20297,plain,
% 12.94/13.16 (~always186(s7)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20296, 20289])).
% 12.94/13.16 tff(20298,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s6, s7)) | (~always186(s6)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20299,plain,
% 12.94/13.16 (((~always186(s6)) | (~trans(s6, s7)) | always186(s7)) <=> ((~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20300,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s6, s7)) | (~always186(s6)) | always186(s7)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20299])).
% 12.94/13.16 tff(20301,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20300, 20298])).
% 12.94/13.16 tff(20302,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20303,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 12.94/13.16 tff(20304,plain,
% 12.94/13.16 ((~always186(s6)) | always186(s7)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20303, 20281, 5162])).
% 12.94/13.16 tff(20305,plain,
% 12.94/13.16 (~always186(s6)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20304, 20297])).
% 12.94/13.16 tff(20306,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s5, s6)) | (~always186(s5)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20307,plain,
% 12.94/13.16 (((~always186(s5)) | (~trans(s5, s6)) | always186(s6)) <=> ((~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20308,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s5, s6)) | (~always186(s5)) | always186(s6)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20307])).
% 12.94/13.16 tff(20309,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20308, 20306])).
% 12.94/13.16 tff(20310,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20311,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 12.94/13.16 tff(20312,plain,
% 12.94/13.16 ((~always186(s5)) | always186(s6)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20311, 20281, 15])).
% 12.94/13.16 tff(20313,plain,
% 12.94/13.16 (~always186(s5)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20312, 20305])).
% 12.94/13.16 tff(20314,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s4, s5)) | (~always186(s4)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20315,plain,
% 12.94/13.16 (((~always186(s4)) | (~trans(s4, s5)) | always186(s5)) <=> ((~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20316,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s4, s5)) | (~always186(s4)) | always186(s5)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20315])).
% 12.94/13.16 tff(20317,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20316, 20314])).
% 12.94/13.16 tff(20318,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20319,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20318, 20317])).
% 12.94/13.16 tff(20320,plain,
% 12.94/13.16 ((~always186(s4)) | always186(s5)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20319, 20281, 4253])).
% 12.94/13.16 tff(20321,plain,
% 12.94/13.16 (~always186(s4)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20320, 20313])).
% 12.94/13.16 tff(20322,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s3, s4)) | (~always186(s3)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20323,plain,
% 12.94/13.16 (((~always186(s3)) | (~trans(s3, s4)) | always186(s4)) <=> ((~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20324,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s3, s4)) | (~always186(s3)) | always186(s4)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20323])).
% 12.94/13.16 tff(20325,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20324, 20322])).
% 12.94/13.16 tff(20326,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20327,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20326, 20325])).
% 12.94/13.16 tff(20328,plain,
% 12.94/13.16 ((~always186(s3)) | always186(s4)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20327, 20281, 1179])).
% 12.94/13.16 tff(20329,plain,
% 12.94/13.16 (~always186(s3)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20328, 20321])).
% 12.94/13.16 tff(20330,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s2, s3)) | (~always186(s2)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20331,plain,
% 12.94/13.16 (((~always186(s2)) | (~trans(s2, s3)) | always186(s3)) <=> ((~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20332,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s2, s3)) | (~always186(s2)) | always186(s3)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20331])).
% 12.94/13.16 tff(20333,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20332, 20330])).
% 12.94/13.16 tff(20334,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20335,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 12.94/13.16 tff(20336,plain,
% 12.94/13.16 ((~always186(s2)) | always186(s3)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20335, 20281, 794])).
% 12.94/13.16 tff(20337,plain,
% 12.94/13.16 (~always186(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20336, 20329])).
% 12.94/13.16 tff(20338,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s1, s2)) | (~always186(s1)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20339,plain,
% 12.94/13.16 (((~always186(s1)) | (~trans(s1, s2)) | always186(s2)) <=> ((~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20340,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s1, s2)) | (~always186(s1)) | always186(s2)))),
% 12.94/13.16 inference(monotonicity,[status(thm)],[20339])).
% 12.94/13.16 tff(20341,plain,
% 12.94/13.16 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.94/13.16 inference(transitivity,[status(thm)],[20340, 20338])).
% 12.94/13.16 tff(20342,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20343,plain,
% 12.94/13.16 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2)),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 12.94/13.16 tff(20344,plain,
% 12.94/13.16 ((~always186(s1)) | always186(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20343, 20281, 226])).
% 12.94/13.16 tff(20345,plain,
% 12.94/13.16 (~always186(s1)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20344, 20337])).
% 12.94/13.16 tff(20346,plain,
% 12.94/13.16 (^[X: $i] : refl((always186(X) | (~node187(X))) <=> (always186(X) | (~node187(X))))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20347,plain,
% 12.94/13.16 (![X: $i] : (always186(X) | (~node187(X))) <=> ![X: $i] : (always186(X) | (~node187(X)))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20346])).
% 12.94/13.16 tff(20348,plain,
% 12.94/13.16 (![X: $i] : (always186(X) | (~node187(X))) <=> ![X: $i] : (always186(X) | (~node187(X)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20349,axiom,(![X: $i] : (always186(X) | (~node187(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 12.94/13.16 tff(20350,plain,
% 12.94/13.16 (![X: $i] : (always186(X) | (~node187(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 12.94/13.16 tff(20351,plain,(
% 12.94/13.16 ![X: $i] : (always186(X) | (~node187(X)))),
% 12.94/13.16 inference(skolemize,[status(sab)],[20350])).
% 12.94/13.16 tff(20352,plain,
% 12.94/13.16 (![X: $i] : (always186(X) | (~node187(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20351, 20347])).
% 12.94/13.16 tff(20353,plain,
% 12.94/13.16 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s1) | (~node187(s1)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s1) | (~node187(s1)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20354,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s1) | (~node187(s1)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20355,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s1) | (~node187(s1))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 12.94/13.16 tff(20356,plain,
% 12.94/13.16 (~node187(s1)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20355, 20352, 20345])).
% 12.94/13.16 tff(20357,plain,
% 12.94/13.16 (^[X: $i] : refl((node187(X) | until281(X) | (~node285(X))) <=> (node187(X) | until281(X) | (~node285(X))))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20358,plain,
% 12.94/13.16 (![X: $i] : (node187(X) | until281(X) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20357])).
% 12.94/13.16 tff(20359,plain,
% 12.94/13.16 (![X: $i] : (node187(X) | until281(X) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20360,plain,
% 12.94/13.16 (^[X: $i] : rewrite(((node187(X) | until281(X)) | (~node285(X))) <=> (node187(X) | until281(X) | (~node285(X))))),
% 12.94/13.16 inference(bind,[status(th)],[])).
% 12.94/13.16 tff(20361,plain,
% 12.94/13.16 (![X: $i] : ((node187(X) | until281(X)) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(quant_intro,[status(thm)],[20360])).
% 12.94/13.16 tff(20362,axiom,(![X: $i] : ((node187(X) | until281(X)) | (~node285(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty215')).
% 12.94/13.16 tff(20363,plain,
% 12.94/13.16 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 12.94/13.16 tff(20364,plain,
% 12.94/13.16 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20363, 20359])).
% 12.94/13.16 tff(20365,plain,(
% 12.94/13.16 ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(skolemize,[status(sab)],[20364])).
% 12.94/13.16 tff(20366,plain,
% 12.94/13.16 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20365, 20358])).
% 12.94/13.16 tff(20367,plain,
% 12.94/13.16 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s1) | until281(s1) | (~node285(s1)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s1) | until281(s1) | (~node285(s1)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20368,plain,
% 12.94/13.16 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s1) | until281(s1) | (~node285(s1)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20369,plain,
% 12.94/13.16 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s1) | until281(s1) | (~node285(s1))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 12.94/13.16 tff(20370,plain,
% 12.94/13.16 (until281(s1) | (~node285(s1))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20369, 20366, 20356])).
% 12.94/13.16 tff(20371,plain,
% 12.94/13.16 (~node285(s1)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20370, 20256])).
% 12.94/13.16 tff(20372,plain,
% 12.94/13.16 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s2) | (~node187(s2)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s2) | (~node187(s2)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20373,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s2) | (~node187(s2)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20374,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s2) | (~node187(s2))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 12.94/13.16 tff(20375,plain,
% 12.94/13.16 (~node187(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20374, 20352, 20337])).
% 12.94/13.16 tff(20376,plain,
% 12.94/13.16 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s2) | until281(s2) | (~node285(s2)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s2) | until281(s2) | (~node285(s2)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20377,plain,
% 12.94/13.16 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s2) | until281(s2) | (~node285(s2)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20378,plain,
% 12.94/13.16 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s2) | until281(s2) | (~node285(s2))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 12.94/13.16 tff(20379,plain,
% 12.94/13.16 (until281(s2) | (~node285(s2))),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20378, 20366, 20375])).
% 12.94/13.16 tff(20380,plain,
% 12.94/13.16 (~node285(s2)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20379, 20243])).
% 12.94/13.16 tff(20381,plain,
% 12.94/13.16 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s3) | (~node187(s3)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s3) | (~node187(s3)))),
% 12.94/13.16 inference(rewrite,[status(thm)],[])).
% 12.94/13.16 tff(20382,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s3) | (~node187(s3)))),
% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
% 12.94/13.16 tff(20383,plain,
% 12.94/13.16 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s3) | (~node187(s3))),
% 12.94/13.16 inference(modus_ponens,[status(thm)],[20382, 20381])).
% 12.94/13.16 tff(20384,plain,
% 12.94/13.16 (~node187(s3)),
% 12.94/13.16 inference(unit_resolution,[status(thm)],[20383, 20352, 20329])).
% 12.94/13.16 tff(20385,plain,
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% 12.94/13.16 inference(rewrite,[status(thm)],[])).
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% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.16 inference(rewrite,[status(thm)],[])).
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% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.16 inference(rewrite,[status(thm)],[])).
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% 12.94/13.16 inference(rewrite,[status(thm)],[])).
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% 12.94/13.16 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.16 inference(rewrite,[status(thm)],[])).
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% 12.94/13.17 inference(rewrite,[status(thm)],[])).
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% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
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% 12.94/13.17 inference(rewrite,[status(thm)],[])).
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% 12.94/13.17 inference(rewrite,[status(thm)],[])).
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% 12.94/13.17 tff(20464,axiom,(![X: $i] : ((node285(X) | xuntil287(X)) | (~until286(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty216')).
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% 12.94/13.17 tff(20466,plain,
% 12.94/13.17 (![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20465, 20461])).
% 12.94/13.17 tff(20467,plain,(
% 12.94/13.17 ![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))),
% 12.94/13.17 inference(skolemize,[status(sab)],[20466])).
% 12.94/13.17 tff(20468,plain,
% 12.94/13.17 (![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20467, 20460])).
% 12.94/13.17 tff(20469,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s9) | node285(s9) | (~until286(s9)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s9) | node285(s9) | (~until286(s9)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20470,plain,
% 12.94/13.17 ((node285(s9) | (~until286(s9)) | xuntil287(s9)) <=> (xuntil287(s9) | node285(s9) | (~until286(s9)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20471,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s9) | (~until286(s9)) | xuntil287(s9))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s9) | node285(s9) | (~until286(s9))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20470])).
% 12.94/13.17 tff(20472,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s9) | (~until286(s9)) | xuntil287(s9))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s9) | node285(s9) | (~until286(s9)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20471, 20469])).
% 12.94/13.17 tff(20473,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s9) | (~until286(s9)) | xuntil287(s9))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20474,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s9) | node285(s9) | (~until286(s9))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20473, 20472])).
% 12.94/13.17 tff(20475,plain,
% 12.94/13.17 (node285(s9) | (~until286(s9))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20474, 20468, 20458])).
% 12.94/13.17 tff(20476,plain,
% 12.94/13.17 (~until286(s9)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20475, 20443])).
% 12.94/13.17 tff(20477,plain,
% 12.94/13.17 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)))),
% 12.94/13.17 inference(bind,[status(th)],[])).
% 12.94/13.17 tff(20478,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(quant_intro,[status(thm)],[20477])).
% 12.94/13.17 tff(20479,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20480,plain,
% 12.94/13.17 (^[Y: $i, X: $i] : rewrite(((until286(Y) | (~succ(X, Y))) | (~xuntil287(X))) <=> ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)))),
% 12.94/13.17 inference(bind,[status(th)],[])).
% 12.94/13.17 tff(20481,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((until286(Y) | (~succ(X, Y))) | (~xuntil287(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(quant_intro,[status(thm)],[20480])).
% 12.94/13.17 tff(20482,axiom,(![Y: $i, X: $i] : ((until286(Y) | (~succ(X, Y))) | (~xuntil287(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty217')).
% 12.94/13.17 tff(20483,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20482, 20481])).
% 12.94/13.17 tff(20484,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20483, 20479])).
% 12.94/13.17 tff(20485,plain,(
% 12.94/13.17 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(skolemize,[status(sab)],[20484])).
% 12.94/13.17 tff(20486,plain,
% 12.94/13.17 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20485, 20478])).
% 12.94/13.17 tff(20487,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s8, s9)) | (~xuntil287(s8)) | until286(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s8, s9)) | (~xuntil287(s8)) | until286(s9))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20488,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s8, s9)) | (~xuntil287(s8)) | until286(s9))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20489,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s8, s9)) | (~xuntil287(s8)) | until286(s9)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 12.94/13.17 tff(20490,plain,
% 12.94/13.17 ((~xuntil287(s8)) | until286(s9)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20489, 5504, 20486])).
% 12.94/13.17 tff(20491,plain,
% 12.94/13.17 (~xuntil287(s8)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20490, 20476])).
% 12.94/13.17 tff(20492,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s8) | node285(s8) | (~until286(s8)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20493,plain,
% 12.94/13.17 ((node285(s8) | (~until286(s8)) | xuntil287(s8)) <=> (xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20494,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s8) | node285(s8) | (~until286(s8))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20493])).
% 12.94/13.17 tff(20495,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20494, 20492])).
% 12.94/13.17 tff(20496,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20497,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 12.94/13.17 tff(20498,plain,
% 12.94/13.17 (node285(s8) | (~until286(s8))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20497, 20468, 20491])).
% 12.94/13.17 tff(20499,plain,
% 12.94/13.17 (~until286(s8)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20498, 20434])).
% 12.94/13.17 tff(20500,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20501,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20502,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20501, 20500])).
% 12.94/13.17 tff(20503,plain,
% 12.94/13.17 ((~xuntil287(s7)) | until286(s8)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20502, 5300, 20486])).
% 12.94/13.17 tff(20504,plain,
% 12.94/13.17 (~xuntil287(s7)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20503, 20499])).
% 12.94/13.17 tff(20505,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s7) | node285(s7) | (~until286(s7)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20506,plain,
% 12.94/13.17 ((node285(s7) | (~until286(s7)) | xuntil287(s7)) <=> (xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20507,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s7) | node285(s7) | (~until286(s7))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20506])).
% 12.94/13.17 tff(20508,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20507, 20505])).
% 12.94/13.17 tff(20509,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20510,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 12.94/13.17 tff(20511,plain,
% 12.94/13.17 (node285(s7) | (~until286(s7))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20510, 20468, 20504])).
% 12.94/13.17 tff(20512,plain,
% 12.94/13.17 (~until286(s7)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20511, 20425])).
% 12.94/13.17 tff(20513,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20514,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20515,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20514, 20513])).
% 12.94/13.17 tff(20516,plain,
% 12.94/13.17 ((~xuntil287(s6)) | until286(s7)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20515, 5158, 20486])).
% 12.94/13.17 tff(20517,plain,
% 12.94/13.17 (~xuntil287(s6)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20516, 20512])).
% 12.94/13.17 tff(20518,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s6) | node285(s6) | (~until286(s6)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20519,plain,
% 12.94/13.17 ((node285(s6) | (~until286(s6)) | xuntil287(s6)) <=> (xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20520,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s6) | node285(s6) | (~until286(s6))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20519])).
% 12.94/13.17 tff(20521,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20520, 20518])).
% 12.94/13.17 tff(20522,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20523,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 12.94/13.17 tff(20524,plain,
% 12.94/13.17 (node285(s6) | (~until286(s6))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20523, 20468, 20517])).
% 12.94/13.17 tff(20525,plain,
% 12.94/13.17 (~until286(s6)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20524, 20416])).
% 12.94/13.17 tff(20526,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20527,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20528,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20527, 20526])).
% 12.94/13.17 tff(20529,plain,
% 12.94/13.17 ((~xuntil287(s5)) | until286(s6)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20528, 11, 20486])).
% 12.94/13.17 tff(20530,plain,
% 12.94/13.17 (~xuntil287(s5)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20529, 20525])).
% 12.94/13.17 tff(20531,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s5) | node285(s5) | (~until286(s5)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20532,plain,
% 12.94/13.17 ((node285(s5) | (~until286(s5)) | xuntil287(s5)) <=> (xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20533,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s5) | node285(s5) | (~until286(s5))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20532])).
% 12.94/13.17 tff(20534,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20533, 20531])).
% 12.94/13.17 tff(20535,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20536,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20535, 20534])).
% 12.94/13.17 tff(20537,plain,
% 12.94/13.17 (node285(s5) | (~until286(s5))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20536, 20468, 20530])).
% 12.94/13.17 tff(20538,plain,
% 12.94/13.17 (~until286(s5)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20537, 20407])).
% 12.94/13.17 tff(20539,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s4, s5)) | (~xuntil287(s4)) | until286(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s4, s5)) | (~xuntil287(s4)) | until286(s5))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20540,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s4, s5)) | (~xuntil287(s4)) | until286(s5))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20541,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s4, s5)) | (~xuntil287(s4)) | until286(s5)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20540, 20539])).
% 12.94/13.17 tff(20542,plain,
% 12.94/13.17 ((~xuntil287(s4)) | until286(s5)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20541, 4249, 20486])).
% 12.94/13.17 tff(20543,plain,
% 12.94/13.17 (~xuntil287(s4)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20542, 20538])).
% 12.94/13.17 tff(20544,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s4) | node285(s4) | (~until286(s4)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20545,plain,
% 12.94/13.17 ((node285(s4) | (~until286(s4)) | xuntil287(s4)) <=> (xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20546,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s4) | node285(s4) | (~until286(s4))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20545])).
% 12.94/13.17 tff(20547,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20546, 20544])).
% 12.94/13.17 tff(20548,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20549,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 12.94/13.17 tff(20550,plain,
% 12.94/13.17 (node285(s4) | (~until286(s4))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20549, 20468, 20543])).
% 12.94/13.17 tff(20551,plain,
% 12.94/13.17 (~until286(s4)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20550, 20398])).
% 12.94/13.17 tff(20552,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20553,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20554,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20553, 20552])).
% 12.94/13.17 tff(20555,plain,
% 12.94/13.17 ((~xuntil287(s3)) | until286(s4)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20554, 1175, 20486])).
% 12.94/13.17 tff(20556,plain,
% 12.94/13.17 (~xuntil287(s3)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20555, 20551])).
% 12.94/13.17 tff(20557,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s3) | node285(s3) | (~until286(s3)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20558,plain,
% 12.94/13.17 ((node285(s3) | (~until286(s3)) | xuntil287(s3)) <=> (xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20559,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s3) | node285(s3) | (~until286(s3))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20558])).
% 12.94/13.17 tff(20560,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20559, 20557])).
% 12.94/13.17 tff(20561,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20562,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 12.94/13.17 tff(20563,plain,
% 12.94/13.17 (node285(s3) | (~until286(s3))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20562, 20468, 20556])).
% 12.94/13.17 tff(20564,plain,
% 12.94/13.17 (~until286(s3)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20563, 20389])).
% 12.94/13.17 tff(20565,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20566,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20567,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 12.94/13.17 tff(20568,plain,
% 12.94/13.17 ((~xuntil287(s2)) | until286(s3)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20567, 790, 20486])).
% 12.94/13.17 tff(20569,plain,
% 12.94/13.17 (~xuntil287(s2)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20568, 20564])).
% 12.94/13.17 tff(20570,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s2) | node285(s2) | (~until286(s2)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20571,plain,
% 12.94/13.17 ((node285(s2) | (~until286(s2)) | xuntil287(s2)) <=> (xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20572,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s2) | node285(s2) | (~until286(s2))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20571])).
% 12.94/13.17 tff(20573,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20572, 20570])).
% 12.94/13.17 tff(20574,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20575,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 12.94/13.17 tff(20576,plain,
% 12.94/13.17 (node285(s2) | (~until286(s2))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20575, 20468, 20569])).
% 12.94/13.17 tff(20577,plain,
% 12.94/13.17 (~until286(s2)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20576, 20380])).
% 12.94/13.17 tff(20578,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20579,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20580,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20579, 20578])).
% 12.94/13.17 tff(20581,plain,
% 12.94/13.17 ((~xuntil287(s1)) | until286(s2)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20580, 222, 20486])).
% 12.94/13.17 tff(20582,plain,
% 12.94/13.17 (~xuntil287(s1)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20581, 20577])).
% 12.94/13.17 tff(20583,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s1) | node285(s1) | (~until286(s1)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20584,plain,
% 12.94/13.17 ((node285(s1) | (~until286(s1)) | xuntil287(s1)) <=> (xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20585,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s1) | node285(s1) | (~until286(s1))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20584])).
% 12.94/13.17 tff(20586,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20585, 20583])).
% 12.94/13.17 tff(20587,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20588,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 12.94/13.17 tff(20589,plain,
% 12.94/13.17 (node285(s1) | (~until286(s1))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20588, 20468, 20582])).
% 12.94/13.17 tff(20590,plain,
% 12.94/13.17 (~until286(s1)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20589, 20371])).
% 12.94/13.17 tff(20591,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20592,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20593,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20592, 20591])).
% 12.94/13.17 tff(20594,plain,
% 12.94/13.17 ((~xuntil287(s0)) | until286(s1)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20593, 35, 20486])).
% 12.94/13.17 tff(20595,plain,
% 12.94/13.17 (~xuntil287(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20594, 20590])).
% 12.94/13.17 tff(20596,plain,
% 12.94/13.17 (until286(s0) <=> until286(s0)),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20597,axiom,(until286(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty223')).
% 12.94/13.17 tff(20598,plain,
% 12.94/13.17 (until286(s0)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20597, 20596])).
% 12.94/13.17 tff(20599,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s0) | node285(s0) | (~until286(s0)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20600,plain,
% 12.94/13.17 ((node285(s0) | (~until286(s0)) | xuntil287(s0)) <=> (xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20601,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s0) | node285(s0) | (~until286(s0))))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20600])).
% 12.94/13.17 tff(20602,plain,
% 12.94/13.17 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20601, 20599])).
% 12.94/13.17 tff(20603,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20604,plain,
% 12.94/13.17 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 12.94/13.17 tff(20605,plain,
% 12.94/13.17 (xuntil287(s0) | node285(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20604, 20468, 20598])).
% 12.94/13.17 tff(20606,plain,
% 12.94/13.17 (node285(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20605, 20595])).
% 12.94/13.17 tff(20607,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s0, s1)) | (~always186(s0)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20608,plain,
% 12.94/13.17 (((~always186(s0)) | (~trans(s0, s1)) | always186(s1)) <=> ((~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20609,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s0, s1)) | (~always186(s0)) | always186(s1)))),
% 12.94/13.17 inference(monotonicity,[status(thm)],[20608])).
% 12.94/13.17 tff(20610,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.94/13.17 inference(transitivity,[status(thm)],[20609, 20607])).
% 12.94/13.17 tff(20611,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20612,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20611, 20610])).
% 12.94/13.17 tff(20613,plain,
% 12.94/13.17 ((~always186(s0)) | always186(s1)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20612, 20281, 39])).
% 12.94/13.17 tff(20614,plain,
% 12.94/13.17 (~always186(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20613, 20345])).
% 12.94/13.17 tff(20615,plain,
% 12.94/13.17 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s0) | (~node187(s0)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s0) | (~node187(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20616,plain,
% 12.94/13.17 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s0) | (~node187(s0)))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20617,plain,
% 12.94/13.17 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s0) | (~node187(s0))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20616, 20615])).
% 12.94/13.17 tff(20618,plain,
% 12.94/13.17 (~node187(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20617, 20352, 20614])).
% 12.94/13.17 tff(20619,plain,
% 12.94/13.17 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s0) | until281(s0) | (~node285(s0)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s0) | until281(s0) | (~node285(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20620,plain,
% 12.94/13.17 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s0) | until281(s0) | (~node285(s0)))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20621,plain,
% 12.94/13.17 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s0) | until281(s0) | (~node285(s0))),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20620, 20619])).
% 12.94/13.17 tff(20622,plain,
% 12.94/13.17 (until281(s0) | (~node285(s0))),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20621, 20366, 20618])).
% 12.94/13.17 tff(20623,plain,
% 12.94/13.17 (until281(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20622, 20606])).
% 12.94/13.17 tff(20624,plain,
% 12.94/13.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20625,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))),
% 12.94/13.17 inference(quant_inst,[status(thm)],[])).
% 12.94/13.17 tff(20626,plain,
% 12.94/13.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1)),
% 12.94/13.17 inference(modus_ponens,[status(thm)],[20625, 20624])).
% 12.94/13.17 tff(20627,plain,
% 12.94/13.17 ((~xuntil282(s0)) | until281(s1)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20626, 35, 20152])).
% 12.94/13.17 tff(20628,plain,
% 12.94/13.17 (~xuntil282(s0)),
% 12.94/13.17 inference(unit_resolution,[status(thm)],[20627, 20256])).
% 12.94/13.17 tff(20629,plain,
% 12.94/13.17 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s0) | node280(s0) | (~until281(s0)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20630,plain,
% 12.94/13.17 ((node280(s0) | (~until281(s0)) | xuntil282(s0)) <=> (xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.94/13.17 inference(rewrite,[status(thm)],[])).
% 12.94/13.17 tff(20631,plain,
% 12.94/13.17 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s0) | node280(s0) | (~until281(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20630])).
% 12.94/13.18 tff(20632,plain,
% 12.94/13.18 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20631, 20629])).
% 12.94/13.18 tff(20633,plain,
% 12.94/13.18 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20634,plain,
% 12.94/13.18 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 12.94/13.18 tff(20635,plain,
% 12.94/13.18 (node280(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20634, 20134, 20628, 20623])).
% 12.94/13.18 tff(20636,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s0, s1)) | always188(s1) | (~always188(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s0, s1)) | always188(s1) | (~always188(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20637,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s0, s1)) | always188(s1) | (~always188(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20638,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s0, s1)) | always188(s1) | (~always188(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 12.94/13.18 tff(20639,plain,
% 12.94/13.18 (always188(s1) | (~always188(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20638, 19968, 39])).
% 12.94/13.18 tff(20640,plain,
% 12.94/13.18 (~always188(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20639, 20011])).
% 12.94/13.18 tff(20641,plain,
% 12.94/13.18 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s0) | (~node189(s0)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s0) | (~node189(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20642,plain,
% 12.94/13.18 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s0) | (~node189(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20643,plain,
% 12.94/13.18 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s0) | (~node189(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20642, 20641])).
% 12.94/13.18 tff(20644,plain,
% 12.94/13.18 (~node189(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20643, 20018, 20640])).
% 12.94/13.18 tff(20645,plain,
% 12.94/13.18 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s0) | until276(s0) | (~node280(s0)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s0) | until276(s0) | (~node280(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20646,plain,
% 12.94/13.18 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s0) | until276(s0) | (~node280(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20647,plain,
% 12.94/13.18 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s0) | until276(s0) | (~node280(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 12.94/13.18 tff(20648,plain,
% 12.94/13.18 (until276(s0) | (~node280(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20647, 20032, 20644])).
% 12.94/13.18 tff(20649,plain,
% 12.94/13.18 (until276(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20648, 20635])).
% 12.94/13.18 tff(20650,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20651,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20652,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20651, 20650])).
% 12.94/13.18 tff(20653,plain,
% 12.94/13.18 ((~xuntil277(s0)) | until276(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20652, 35, 19839])).
% 12.94/13.18 tff(20654,plain,
% 12.94/13.18 (~xuntil277(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20653, 19943])).
% 12.94/13.18 tff(20655,plain,
% 12.94/13.18 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s0) | node275(s0) | (~until276(s0)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20656,plain,
% 12.94/13.18 ((node275(s0) | (~until276(s0)) | xuntil277(s0)) <=> (xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20657,plain,
% 12.94/13.18 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s0) | (~until276(s0)) | xuntil277(s0))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s0) | node275(s0) | (~until276(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20656])).
% 12.94/13.18 tff(20658,plain,
% 12.94/13.18 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s0) | (~until276(s0)) | xuntil277(s0))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20657, 20655])).
% 12.94/13.18 tff(20659,plain,
% 12.94/13.18 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s0) | (~until276(s0)) | xuntil277(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20660,plain,
% 12.94/13.18 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20659, 20658])).
% 12.94/13.18 tff(20661,plain,
% 12.94/13.18 (node275(s0) | (~until276(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20660, 19821, 20654])).
% 12.94/13.18 tff(20662,plain,
% 12.94/13.18 (node275(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20661, 20649])).
% 12.94/13.18 tff(20663,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s0, s1)) | always190(s1) | (~always190(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s0, s1)) | always190(s1) | (~always190(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20664,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s0, s1)) | always190(s1) | (~always190(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20665,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s0, s1)) | always190(s1) | (~always190(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 12.94/13.18 tff(20666,plain,
% 12.94/13.18 (always190(s1) | (~always190(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20665, 19655, 39])).
% 12.94/13.18 tff(20667,plain,
% 12.94/13.18 (~always190(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20666, 19698])).
% 12.94/13.18 tff(20668,plain,
% 12.94/13.18 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s0) | (~node191(s0)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s0) | (~node191(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20669,plain,
% 12.94/13.18 ((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s0) | (~node191(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20670,plain,
% 12.94/13.18 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s0) | (~node191(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 12.94/13.18 tff(20671,plain,
% 12.94/13.18 (~node191(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20670, 19705, 20667])).
% 12.94/13.18 tff(20672,plain,
% 12.94/13.18 (((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s0) | until271(s0) | (~node275(s0)))) <=> ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s0) | until271(s0) | (~node275(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20673,plain,
% 12.94/13.18 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | (node191(s0) | until271(s0) | (~node275(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20674,plain,
% 12.94/13.18 ((~![X: $i] : (node191(X) | until271(X) | (~node275(X)))) | node191(s0) | until271(s0) | (~node275(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 12.94/13.18 tff(20675,plain,
% 12.94/13.18 (until271(s0) | (~node275(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20674, 19719, 20671])).
% 12.94/13.18 tff(20676,plain,
% 12.94/13.18 (until271(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20675, 20662])).
% 12.94/13.18 tff(20677,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s0, s1)) | (~xuntil257(s0)) | until256(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s0, s1)) | (~xuntil257(s0)) | until256(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20678,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s0, s1)) | (~xuntil257(s0)) | until256(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20679,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s0, s1)) | (~xuntil257(s0)) | until256(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 12.94/13.18 tff(20680,plain,
% 12.94/13.18 ((~xuntil257(s0)) | until256(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20679, 35, 18588])).
% 12.94/13.18 tff(20681,plain,
% 12.94/13.18 (~xuntil257(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20680, 18691])).
% 12.94/13.18 tff(20682,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s0, s1)) | (~xuntil252(s0)) | until251(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s0, s1)) | (~xuntil252(s0)) | until251(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20683,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s0, s1)) | (~xuntil252(s0)) | until251(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20684,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s0, s1)) | (~xuntil252(s0)) | until251(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 12.94/13.18 tff(20685,plain,
% 12.94/13.18 ((~xuntil252(s0)) | until251(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20684, 35, 18078])).
% 12.94/13.18 tff(20686,plain,
% 12.94/13.18 (~xuntil252(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20685, 18379])).
% 12.94/13.18 tff(20687,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20688,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20689,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 12.94/13.18 tff(20690,plain,
% 12.94/13.18 ((~xuntil247(s0)) | until246(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20689, 35, 17622])).
% 12.94/13.18 tff(20691,plain,
% 12.94/13.18 (~xuntil247(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20690, 18357])).
% 12.94/13.18 tff(20692,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20693,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20694,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 12.94/13.18 tff(20695,plain,
% 12.94/13.18 ((~xuntil242(s0)) | until241(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20694, 35, 17220])).
% 12.94/13.18 tff(20696,plain,
% 12.94/13.18 (~xuntil242(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20695, 18335])).
% 12.94/13.18 tff(20697,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20698,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20699,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20698, 20697])).
% 12.94/13.18 tff(20700,plain,
% 12.94/13.18 ((~xuntil237(s0)) | until236(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20699, 35, 16872])).
% 12.94/13.18 tff(20701,plain,
% 12.94/13.18 (~xuntil237(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20700, 18313])).
% 12.94/13.18 tff(20702,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20703,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20704,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20703, 20702])).
% 12.94/13.18 tff(20705,plain,
% 12.94/13.18 ((~xuntil232(s0)) | until231(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20704, 35, 16578])).
% 12.94/13.18 tff(20706,plain,
% 12.94/13.18 (~xuntil232(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20705, 18291])).
% 12.94/13.18 tff(20707,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20708,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20709,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 12.94/13.18 tff(20710,plain,
% 12.94/13.18 ((~xuntil227(s0)) | until226(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20709, 35, 16338])).
% 12.94/13.18 tff(20711,plain,
% 12.94/13.18 (~xuntil227(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20710, 18269])).
% 12.94/13.18 tff(20712,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20713,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20714,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 12.94/13.18 tff(20715,plain,
% 12.94/13.18 ((~xuntil222(s0)) | until221(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20714, 35, 16152])).
% 12.94/13.18 tff(20716,plain,
% 12.94/13.18 (~xuntil222(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20715, 18247])).
% 12.94/13.18 tff(20717,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20718,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20719,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20718, 20717])).
% 12.94/13.18 tff(20720,plain,
% 12.94/13.18 ((~xuntil217(s0)) | until216(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20719, 35, 16075])).
% 12.94/13.18 tff(20721,plain,
% 12.94/13.18 (~xuntil217(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20720, 18225])).
% 12.94/13.18 tff(20722,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s0, s1)) | (~always214(s0)) | always214(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s0, s1)) | (~always214(s0)) | always214(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20723,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s0, s1)) | (~always214(s0)) | always214(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20724,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s0, s1)) | (~always214(s0)) | always214(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 12.94/13.18 tff(20725,plain,
% 12.94/13.18 ((~always214(s0)) | always214(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20724, 16009, 39])).
% 12.94/13.18 tff(20726,plain,
% 12.94/13.18 (~always214(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20725, 18213])).
% 12.94/13.18 tff(20727,plain,
% 12.94/13.18 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s0) | (~node215(s0)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s0) | (~node215(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20728,plain,
% 12.94/13.18 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s0) | (~node215(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20729,plain,
% 12.94/13.18 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s0) | (~node215(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20728, 20727])).
% 12.94/13.18 tff(20730,plain,
% 12.94/13.18 (~node215(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20729, 16024, 20726])).
% 12.94/13.18 tff(20731,plain,
% 12.94/13.18 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s0) | node215(s0) | (~until216(s0)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20732,plain,
% 12.94/13.18 ((node215(s0) | (~until216(s0)) | xuntil217(s0)) <=> (xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20733,plain,
% 12.94/13.18 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s0) | node215(s0) | (~until216(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20732])).
% 12.94/13.18 tff(20734,plain,
% 12.94/13.18 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20733, 20731])).
% 12.94/13.18 tff(20735,plain,
% 12.94/13.18 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20736,plain,
% 12.94/13.18 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 12.94/13.18 tff(20737,plain,
% 12.94/13.18 (xuntil217(s0) | (~until216(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20736, 16057, 20730])).
% 12.94/13.18 tff(20738,plain,
% 12.94/13.18 (~until216(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20737, 20721])).
% 12.94/13.18 tff(20739,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s0, s1)) | always212(s1) | (~always212(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s0, s1)) | always212(s1) | (~always212(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20740,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s0, s1)) | always212(s1) | (~always212(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20741,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s0, s1)) | always212(s1) | (~always212(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20740, 20739])).
% 12.94/13.18 tff(20742,plain,
% 12.94/13.18 (always212(s1) | (~always212(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20741, 15965, 39])).
% 12.94/13.18 tff(20743,plain,
% 12.94/13.18 (~always212(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20742, 18230])).
% 12.94/13.18 tff(20744,plain,
% 12.94/13.18 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s0) | (~node213(s0)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s0) | (~node213(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20745,plain,
% 12.94/13.18 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s0) | (~node213(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20746,plain,
% 12.94/13.18 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s0) | (~node213(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20745, 20744])).
% 12.94/13.18 tff(20747,plain,
% 12.94/13.18 (~node213(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20746, 15980, 20743])).
% 12.94/13.18 tff(20748,plain,
% 12.94/13.18 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s0) | until216(s0) | (~node220(s0)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s0) | until216(s0) | (~node220(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20749,plain,
% 12.94/13.18 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s0) | until216(s0) | (~node220(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20750,plain,
% 12.94/13.18 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s0) | until216(s0) | (~node220(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 12.94/13.18 tff(20751,plain,
% 12.94/13.18 (until216(s0) | (~node220(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20750, 16097, 20747])).
% 12.94/13.18 tff(20752,plain,
% 12.94/13.18 (~node220(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20751, 20738])).
% 12.94/13.18 tff(20753,plain,
% 12.94/13.18 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s0) | node220(s0) | (~until221(s0)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20754,plain,
% 12.94/13.18 ((node220(s0) | (~until221(s0)) | xuntil222(s0)) <=> (xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20755,plain,
% 12.94/13.18 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s0) | node220(s0) | (~until221(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20754])).
% 12.94/13.18 tff(20756,plain,
% 12.94/13.18 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20755, 20753])).
% 12.94/13.18 tff(20757,plain,
% 12.94/13.18 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20758,plain,
% 12.94/13.18 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 12.94/13.18 tff(20759,plain,
% 12.94/13.18 (xuntil222(s0) | (~until221(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20758, 16134, 20752])).
% 12.94/13.18 tff(20760,plain,
% 12.94/13.18 (~until221(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20759, 20716])).
% 12.94/13.18 tff(20761,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s0, s1)) | always210(s1) | (~always210(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s0, s1)) | always210(s1) | (~always210(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20762,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s0, s1)) | always210(s1) | (~always210(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20763,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s0, s1)) | always210(s1) | (~always210(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 12.94/13.18 tff(20764,plain,
% 12.94/13.18 (always210(s1) | (~always210(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20763, 16238, 39])).
% 12.94/13.18 tff(20765,plain,
% 12.94/13.18 (~always210(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20764, 18252])).
% 12.94/13.18 tff(20766,plain,
% 12.94/13.18 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s0) | (~node211(s0)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s0) | (~node211(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20767,plain,
% 12.94/13.18 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s0) | (~node211(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20768,plain,
% 12.94/13.18 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s0) | (~node211(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20767, 20766])).
% 12.94/13.18 tff(20769,plain,
% 12.94/13.18 (~node211(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20768, 16258, 20765])).
% 12.94/13.18 tff(20770,plain,
% 12.94/13.18 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s0) | until221(s0) | (~node225(s0)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s0) | until221(s0) | (~node225(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20771,plain,
% 12.94/13.18 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s0) | until221(s0) | (~node225(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20772,plain,
% 12.94/13.18 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s0) | until221(s0) | (~node225(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 12.94/13.18 tff(20773,plain,
% 12.94/13.18 (until221(s0) | (~node225(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20772, 16272, 20769])).
% 12.94/13.18 tff(20774,plain,
% 12.94/13.18 (~node225(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20773, 20760])).
% 12.94/13.18 tff(20775,plain,
% 12.94/13.18 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s0) | node225(s0) | (~until226(s0)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20776,plain,
% 12.94/13.18 ((node225(s0) | (~until226(s0)) | xuntil227(s0)) <=> (xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20777,plain,
% 12.94/13.18 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s0) | (~until226(s0)) | xuntil227(s0))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s0) | node225(s0) | (~until226(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20776])).
% 12.94/13.18 tff(20778,plain,
% 12.94/13.18 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s0) | (~until226(s0)) | xuntil227(s0))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20777, 20775])).
% 12.94/13.18 tff(20779,plain,
% 12.94/13.18 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s0) | (~until226(s0)) | xuntil227(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20780,plain,
% 12.94/13.18 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 12.94/13.18 tff(20781,plain,
% 12.94/13.18 (xuntil227(s0) | (~until226(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20780, 16320, 20774])).
% 12.94/13.18 tff(20782,plain,
% 12.94/13.18 (~until226(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20781, 20711])).
% 12.94/13.18 tff(20783,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s0, s1)) | (~always208(s0)) | always208(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s0, s1)) | (~always208(s0)) | always208(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20784,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s0, s1)) | (~always208(s0)) | always208(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20785,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s0, s1)) | (~always208(s0)) | always208(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20784, 20783])).
% 12.94/13.18 tff(20786,plain,
% 12.94/13.18 ((~always208(s0)) | always208(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20785, 16464, 39])).
% 12.94/13.18 tff(20787,plain,
% 12.94/13.18 (~always208(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20786, 18274])).
% 12.94/13.18 tff(20788,plain,
% 12.94/13.18 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s0) | (~node209(s0)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s0) | (~node209(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20789,plain,
% 12.94/13.18 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s0) | (~node209(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20790,plain,
% 12.94/13.18 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s0) | (~node209(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 12.94/13.18 tff(20791,plain,
% 12.94/13.18 (~node209(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20790, 16489, 20787])).
% 12.94/13.18 tff(20792,plain,
% 12.94/13.18 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s0) | until226(s0) | (~node230(s0)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s0) | until226(s0) | (~node230(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20793,plain,
% 12.94/13.18 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s0) | until226(s0) | (~node230(s0)))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20794,plain,
% 12.94/13.18 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s0) | until226(s0) | (~node230(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 12.94/13.18 tff(20795,plain,
% 12.94/13.18 (until226(s0) | (~node230(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20794, 16503, 20791])).
% 12.94/13.18 tff(20796,plain,
% 12.94/13.18 (~node230(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20795, 20782])).
% 12.94/13.18 tff(20797,plain,
% 12.94/13.18 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s0) | node230(s0) | (~until231(s0)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20798,plain,
% 12.94/13.18 ((node230(s0) | (~until231(s0)) | xuntil232(s0)) <=> (xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20799,plain,
% 12.94/13.18 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s0) | (~until231(s0)) | xuntil232(s0))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s0) | node230(s0) | (~until231(s0))))),
% 12.94/13.18 inference(monotonicity,[status(thm)],[20798])).
% 12.94/13.18 tff(20800,plain,
% 12.94/13.18 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s0) | (~until231(s0)) | xuntil232(s0))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.94/13.18 inference(transitivity,[status(thm)],[20799, 20797])).
% 12.94/13.18 tff(20801,plain,
% 12.94/13.18 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s0) | (~until231(s0)) | xuntil232(s0))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20802,plain,
% 12.94/13.18 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0))),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 12.94/13.18 tff(20803,plain,
% 12.94/13.18 (xuntil232(s0) | (~until231(s0))),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20802, 16560, 20796])).
% 12.94/13.18 tff(20804,plain,
% 12.94/13.18 (~until231(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20803, 20706])).
% 12.94/13.18 tff(20805,plain,
% 12.94/13.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s0, s1)) | (~always206(s0)) | always206(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s0, s1)) | (~always206(s0)) | always206(s1))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.18 tff(20806,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s0, s1)) | (~always206(s0)) | always206(s1))),
% 12.94/13.18 inference(quant_inst,[status(thm)],[])).
% 12.94/13.18 tff(20807,plain,
% 12.94/13.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s0, s1)) | (~always206(s0)) | always206(s1)),
% 12.94/13.18 inference(modus_ponens,[status(thm)],[20806, 20805])).
% 12.94/13.18 tff(20808,plain,
% 12.94/13.18 ((~always206(s0)) | always206(s1)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20807, 16744, 39])).
% 12.94/13.18 tff(20809,plain,
% 12.94/13.18 (~always206(s0)),
% 12.94/13.18 inference(unit_resolution,[status(thm)],[20808, 18296])).
% 12.94/13.18 tff(20810,plain,
% 12.94/13.18 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s0) | (~node207(s0)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s0) | (~node207(s0)))),
% 12.94/13.18 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20811,plain,
% 12.94/13.19 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s0) | (~node207(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20812,plain,
% 12.94/13.19 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s0) | (~node207(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 12.94/13.19 tff(20813,plain,
% 12.94/13.19 (~node207(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20812, 16774, 20809])).
% 12.94/13.19 tff(20814,plain,
% 12.94/13.19 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s0) | until231(s0) | (~node235(s0)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s0) | until231(s0) | (~node235(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20815,plain,
% 12.94/13.19 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s0) | until231(s0) | (~node235(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20816,plain,
% 12.94/13.19 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s0) | until231(s0) | (~node235(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 12.94/13.19 tff(20817,plain,
% 12.94/13.19 (until231(s0) | (~node235(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20816, 16788, 20813])).
% 12.94/13.19 tff(20818,plain,
% 12.94/13.19 (~node235(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20817, 20804])).
% 12.94/13.19 tff(20819,plain,
% 12.94/13.19 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s0) | node235(s0) | (~until236(s0)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20820,plain,
% 12.94/13.19 ((node235(s0) | (~until236(s0)) | xuntil237(s0)) <=> (xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20821,plain,
% 12.94/13.19 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s0) | (~until236(s0)) | xuntil237(s0))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s0) | node235(s0) | (~until236(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20820])).
% 12.94/13.19 tff(20822,plain,
% 12.94/13.19 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s0) | (~until236(s0)) | xuntil237(s0))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20821, 20819])).
% 12.94/13.19 tff(20823,plain,
% 12.94/13.19 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s0) | (~until236(s0)) | xuntil237(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20824,plain,
% 12.94/13.19 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20823, 20822])).
% 12.94/13.19 tff(20825,plain,
% 12.94/13.19 (xuntil237(s0) | (~until236(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20824, 16854, 20818])).
% 12.94/13.19 tff(20826,plain,
% 12.94/13.19 (~until236(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20825, 20701])).
% 12.94/13.19 tff(20827,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s0, s1)) | always204(s1) | (~always204(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s0, s1)) | always204(s1) | (~always204(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20828,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s0, s1)) | always204(s1) | (~always204(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20829,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s0, s1)) | always204(s1) | (~always204(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 12.94/13.19 tff(20830,plain,
% 12.94/13.19 (always204(s1) | (~always204(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20829, 17078, 39])).
% 12.94/13.19 tff(20831,plain,
% 12.94/13.19 (~always204(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20830, 18318])).
% 12.94/13.19 tff(20832,plain,
% 12.94/13.19 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s0) | (~node205(s0)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s0) | (~node205(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20833,plain,
% 12.94/13.19 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s0) | (~node205(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20834,plain,
% 12.94/13.19 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s0) | (~node205(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 12.94/13.19 tff(20835,plain,
% 12.94/13.19 (~node205(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20834, 17113, 20831])).
% 12.94/13.19 tff(20836,plain,
% 12.94/13.19 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s0) | until236(s0) | (~node240(s0)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s0) | until236(s0) | (~node240(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20837,plain,
% 12.94/13.19 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s0) | until236(s0) | (~node240(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20838,plain,
% 12.94/13.19 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s0) | until236(s0) | (~node240(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20837, 20836])).
% 12.94/13.19 tff(20839,plain,
% 12.94/13.19 (until236(s0) | (~node240(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20838, 17127, 20835])).
% 12.94/13.19 tff(20840,plain,
% 12.94/13.19 (~node240(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20839, 20826])).
% 12.94/13.19 tff(20841,plain,
% 12.94/13.19 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s0) | node240(s0) | (~until241(s0)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20842,plain,
% 12.94/13.19 ((node240(s0) | (~until241(s0)) | xuntil242(s0)) <=> (xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20843,plain,
% 12.94/13.19 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s0) | node240(s0) | (~until241(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20842])).
% 12.94/13.19 tff(20844,plain,
% 12.94/13.19 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20843, 20841])).
% 12.94/13.19 tff(20845,plain,
% 12.94/13.19 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20846,plain,
% 12.94/13.19 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20845, 20844])).
% 12.94/13.19 tff(20847,plain,
% 12.94/13.19 (xuntil242(s0) | (~until241(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20846, 17202, 20840])).
% 12.94/13.19 tff(20848,plain,
% 12.94/13.19 (~until241(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20847, 20696])).
% 12.94/13.19 tff(20849,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s0, s1)) | always202(s1) | (~always202(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s0, s1)) | always202(s1) | (~always202(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20850,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s0, s1)) | always202(s1) | (~always202(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20851,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s0, s1)) | always202(s1) | (~always202(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 12.94/13.19 tff(20852,plain,
% 12.94/13.19 (always202(s1) | (~always202(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20851, 17466, 39])).
% 12.94/13.19 tff(20853,plain,
% 12.94/13.19 (~always202(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20852, 18340])).
% 12.94/13.19 tff(20854,plain,
% 12.94/13.19 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s0) | (~node203(s0)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s0) | (~node203(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20855,plain,
% 12.94/13.19 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s0) | (~node203(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20856,plain,
% 12.94/13.19 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s0) | (~node203(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20855, 20854])).
% 12.94/13.19 tff(20857,plain,
% 12.94/13.19 (~node203(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20856, 17506, 20853])).
% 12.94/13.19 tff(20858,plain,
% 12.94/13.19 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s0) | until241(s0) | (~node245(s0)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s0) | until241(s0) | (~node245(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20859,plain,
% 12.94/13.19 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s0) | until241(s0) | (~node245(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20860,plain,
% 12.94/13.19 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s0) | until241(s0) | (~node245(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 12.94/13.19 tff(20861,plain,
% 12.94/13.19 (until241(s0) | (~node245(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20860, 17520, 20857])).
% 12.94/13.19 tff(20862,plain,
% 12.94/13.19 (~node245(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20861, 20848])).
% 12.94/13.19 tff(20863,plain,
% 12.94/13.19 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s0) | node245(s0) | (~until246(s0)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20864,plain,
% 12.94/13.19 ((node245(s0) | (~until246(s0)) | xuntil247(s0)) <=> (xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20865,plain,
% 12.94/13.19 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s0) | node245(s0) | (~until246(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20864])).
% 12.94/13.19 tff(20866,plain,
% 12.94/13.19 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20865, 20863])).
% 12.94/13.19 tff(20867,plain,
% 12.94/13.19 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20868,plain,
% 12.94/13.19 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20867, 20866])).
% 12.94/13.19 tff(20869,plain,
% 12.94/13.19 (xuntil247(s0) | (~until246(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20868, 17604, 20862])).
% 12.94/13.19 tff(20870,plain,
% 12.94/13.19 (~until246(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20869, 20691])).
% 12.94/13.19 tff(20871,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s0, s1)) | (~always200(s0)) | always200(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s0, s1)) | (~always200(s0)) | always200(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20872,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s0, s1)) | (~always200(s0)) | always200(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20873,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s0, s1)) | (~always200(s0)) | always200(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 12.94/13.19 tff(20874,plain,
% 12.94/13.19 ((~always200(s0)) | always200(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20873, 17908, 39])).
% 12.94/13.19 tff(20875,plain,
% 12.94/13.19 (~always200(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20874, 18362])).
% 12.94/13.19 tff(20876,plain,
% 12.94/13.19 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s0) | (~node201(s0)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s0) | (~node201(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20877,plain,
% 12.94/13.19 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s0) | (~node201(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20878,plain,
% 12.94/13.19 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s0) | (~node201(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 12.94/13.19 tff(20879,plain,
% 12.94/13.19 (~node201(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20878, 17953, 20875])).
% 12.94/13.19 tff(20880,plain,
% 12.94/13.19 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s0) | until246(s0) | (~node250(s0)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s0) | until246(s0) | (~node250(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20881,plain,
% 12.94/13.19 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s0) | until246(s0) | (~node250(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20882,plain,
% 12.94/13.19 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s0) | until246(s0) | (~node250(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 12.94/13.19 tff(20883,plain,
% 12.94/13.19 (until246(s0) | (~node250(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20882, 17967, 20879])).
% 12.94/13.19 tff(20884,plain,
% 12.94/13.19 (~node250(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20883, 20870])).
% 12.94/13.19 tff(20885,plain,
% 12.94/13.19 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s0) | node250(s0) | (~until251(s0)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20886,plain,
% 12.94/13.19 ((node250(s0) | (~until251(s0)) | xuntil252(s0)) <=> (xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20887,plain,
% 12.94/13.19 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s0) | node250(s0) | (~until251(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20886])).
% 12.94/13.19 tff(20888,plain,
% 12.94/13.19 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20887, 20885])).
% 12.94/13.19 tff(20889,plain,
% 12.94/13.19 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20890,plain,
% 12.94/13.19 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 12.94/13.19 tff(20891,plain,
% 12.94/13.19 (xuntil252(s0) | (~until251(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20890, 18060, 20884])).
% 12.94/13.19 tff(20892,plain,
% 12.94/13.19 (~until251(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20891, 20686])).
% 12.94/13.19 tff(20893,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s0, s1)) | (~always198(s0)) | always198(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s0, s1)) | (~always198(s0)) | always198(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20894,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s0, s1)) | (~always198(s0)) | always198(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20895,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s0, s1)) | (~always198(s0)) | always198(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 12.94/13.19 tff(20896,plain,
% 12.94/13.19 ((~always198(s0)) | always198(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20895, 18404, 39])).
% 12.94/13.19 tff(20897,plain,
% 12.94/13.19 (~always198(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20896, 18447])).
% 12.94/13.19 tff(20898,plain,
% 12.94/13.19 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s0) | (~node199(s0)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s0) | (~node199(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20899,plain,
% 12.94/13.19 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s0) | (~node199(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20900,plain,
% 12.94/13.19 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s0) | (~node199(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 12.94/13.19 tff(20901,plain,
% 12.94/13.19 (~node199(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20900, 18454, 20897])).
% 12.94/13.19 tff(20902,plain,
% 12.94/13.19 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s0) | until251(s0) | (~node255(s0)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s0) | until251(s0) | (~node255(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20903,plain,
% 12.94/13.19 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s0) | until251(s0) | (~node255(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20904,plain,
% 12.94/13.19 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s0) | until251(s0) | (~node255(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20903, 20902])).
% 12.94/13.19 tff(20905,plain,
% 12.94/13.19 (until251(s0) | (~node255(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20904, 18468, 20901])).
% 12.94/13.19 tff(20906,plain,
% 12.94/13.19 (~node255(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20905, 20892])).
% 12.94/13.19 tff(20907,plain,
% 12.94/13.19 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s0) | node255(s0) | (~until256(s0)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20908,plain,
% 12.94/13.19 ((node255(s0) | (~until256(s0)) | xuntil257(s0)) <=> (xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20909,plain,
% 12.94/13.19 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s0) | node255(s0) | (~until256(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20908])).
% 12.94/13.19 tff(20910,plain,
% 12.94/13.19 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20909, 20907])).
% 12.94/13.19 tff(20911,plain,
% 12.94/13.19 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20912,plain,
% 12.94/13.19 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 12.94/13.19 tff(20913,plain,
% 12.94/13.19 (xuntil257(s0) | (~until256(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20912, 18570, 20906])).
% 12.94/13.19 tff(20914,plain,
% 12.94/13.19 (~until256(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20913, 20681])).
% 12.94/13.19 tff(20915,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s0, s1)) | (~always196(s0)) | always196(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s0, s1)) | (~always196(s0)) | always196(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20916,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s0, s1)) | (~always196(s0)) | always196(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20917,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s0, s1)) | (~always196(s0)) | always196(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 12.94/13.19 tff(20918,plain,
% 12.94/13.19 ((~always196(s0)) | always196(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20917, 18716, 39])).
% 12.94/13.19 tff(20919,plain,
% 12.94/13.19 (~always196(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20918, 18759])).
% 12.94/13.19 tff(20920,plain,
% 12.94/13.19 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s0) | (~node197(s0)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s0) | (~node197(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20921,plain,
% 12.94/13.19 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s0) | (~node197(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20922,plain,
% 12.94/13.19 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s0) | (~node197(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20921, 20920])).
% 12.94/13.19 tff(20923,plain,
% 12.94/13.19 (~node197(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20922, 18766, 20919])).
% 12.94/13.19 tff(20924,plain,
% 12.94/13.19 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s0) | until256(s0) | (~node260(s0)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s0) | until256(s0) | (~node260(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20925,plain,
% 12.94/13.19 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s0) | until256(s0) | (~node260(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20926,plain,
% 12.94/13.19 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s0) | until256(s0) | (~node260(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 12.94/13.19 tff(20927,plain,
% 12.94/13.19 (until256(s0) | (~node260(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20926, 18780, 20923])).
% 12.94/13.19 tff(20928,plain,
% 12.94/13.19 (~node260(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20927, 20914])).
% 12.94/13.19 tff(20929,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20930,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20931,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 12.94/13.19 tff(20932,plain,
% 12.94/13.19 ((~xuntil262(s0)) | until261(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20931, 35, 18900])).
% 12.94/13.19 tff(20933,plain,
% 12.94/13.19 (~xuntil262(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20932, 19004])).
% 12.94/13.19 tff(20934,plain,
% 12.94/13.19 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s0) | node260(s0) | (~until261(s0)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20935,plain,
% 12.94/13.19 ((node260(s0) | (~until261(s0)) | xuntil262(s0)) <=> (xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20936,plain,
% 12.94/13.19 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s0) | node260(s0) | (~until261(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20935])).
% 12.94/13.19 tff(20937,plain,
% 12.94/13.19 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20936, 20934])).
% 12.94/13.19 tff(20938,plain,
% 12.94/13.19 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20939,plain,
% 12.94/13.19 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20938, 20937])).
% 12.94/13.19 tff(20940,plain,
% 12.94/13.19 (~until261(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20939, 18882, 20933, 20928])).
% 12.94/13.19 tff(20941,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s0, s1)) | always194(s1) | (~always194(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s0, s1)) | always194(s1) | (~always194(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20942,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s0, s1)) | always194(s1) | (~always194(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20943,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s0, s1)) | always194(s1) | (~always194(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20942, 20941])).
% 12.94/13.19 tff(20944,plain,
% 12.94/13.19 (always194(s1) | (~always194(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20943, 19029, 39])).
% 12.94/13.19 tff(20945,plain,
% 12.94/13.19 (~always194(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20944, 19072])).
% 12.94/13.19 tff(20946,plain,
% 12.94/13.19 (((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s0) | (~node195(s0)))) <=> ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s0) | (~node195(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20947,plain,
% 12.94/13.19 ((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s0) | (~node195(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20948,plain,
% 12.94/13.19 ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s0) | (~node195(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 12.94/13.19 tff(20949,plain,
% 12.94/13.19 (~node195(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20948, 19079, 20945])).
% 12.94/13.19 tff(20950,plain,
% 12.94/13.19 (((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s0) | until261(s0) | (~node265(s0)))) <=> ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s0) | until261(s0) | (~node265(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20951,plain,
% 12.94/13.19 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s0) | until261(s0) | (~node265(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20952,plain,
% 12.94/13.19 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s0) | until261(s0) | (~node265(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 12.94/13.19 tff(20953,plain,
% 12.94/13.19 (until261(s0) | (~node265(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20952, 19093, 20949])).
% 12.94/13.19 tff(20954,plain,
% 12.94/13.19 (~node265(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20953, 20940])).
% 12.94/13.19 tff(20955,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20956,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20957,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20956, 20955])).
% 12.94/13.19 tff(20958,plain,
% 12.94/13.19 ((~xuntil267(s0)) | until266(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20957, 35, 19213])).
% 12.94/13.19 tff(20959,plain,
% 12.94/13.19 (~xuntil267(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20958, 19317])).
% 12.94/13.19 tff(20960,plain,
% 12.94/13.19 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s0) | node265(s0) | (~until266(s0)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20961,plain,
% 12.94/13.19 ((node265(s0) | (~until266(s0)) | xuntil267(s0)) <=> (xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20962,plain,
% 12.94/13.19 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s0) | node265(s0) | (~until266(s0))))),
% 12.94/13.19 inference(monotonicity,[status(thm)],[20961])).
% 12.94/13.19 tff(20963,plain,
% 12.94/13.19 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.94/13.19 inference(transitivity,[status(thm)],[20962, 20960])).
% 12.94/13.19 tff(20964,plain,
% 12.94/13.19 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20965,plain,
% 12.94/13.19 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 12.94/13.19 tff(20966,plain,
% 12.94/13.19 (node265(s0) | (~until266(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20965, 19195, 20959])).
% 12.94/13.19 tff(20967,plain,
% 12.94/13.19 (~until266(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20966, 20954])).
% 12.94/13.19 tff(20968,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s0, s1)) | always192(s1) | (~always192(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s0, s1)) | always192(s1) | (~always192(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20969,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s0, s1)) | always192(s1) | (~always192(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20970,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s0, s1)) | always192(s1) | (~always192(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 12.94/13.19 tff(20971,plain,
% 12.94/13.19 (always192(s1) | (~always192(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20970, 19342, 39])).
% 12.94/13.19 tff(20972,plain,
% 12.94/13.19 (~always192(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20971, 19385])).
% 12.94/13.19 tff(20973,plain,
% 12.94/13.19 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s0) | (~node193(s0)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s0) | (~node193(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20974,plain,
% 12.94/13.19 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s0) | (~node193(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20975,plain,
% 12.94/13.19 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s0) | (~node193(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 12.94/13.19 tff(20976,plain,
% 12.94/13.19 (~node193(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20975, 19392, 20972])).
% 12.94/13.19 tff(20977,plain,
% 12.94/13.19 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s0) | until266(s0) | (~node270(s0)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s0) | until266(s0) | (~node270(s0)))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20978,plain,
% 12.94/13.19 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s0) | until266(s0) | (~node270(s0)))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20979,plain,
% 12.94/13.19 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s0) | until266(s0) | (~node270(s0))),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 12.94/13.19 tff(20980,plain,
% 12.94/13.19 (until266(s0) | (~node270(s0))),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20979, 19406, 20976])).
% 12.94/13.19 tff(20981,plain,
% 12.94/13.19 (~node270(s0)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20980, 20967])).
% 12.94/13.19 tff(20982,plain,
% 12.94/13.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))),
% 12.94/13.19 inference(rewrite,[status(thm)],[])).
% 12.94/13.19 tff(20983,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))),
% 12.94/13.19 inference(quant_inst,[status(thm)],[])).
% 12.94/13.19 tff(20984,plain,
% 12.94/13.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1)),
% 12.94/13.19 inference(modus_ponens,[status(thm)],[20983, 20982])).
% 12.94/13.19 tff(20985,plain,
% 12.94/13.19 ((~xuntil272(s0)) | until271(s1)),
% 12.94/13.19 inference(unit_resolution,[status(thm)],[20984, 35, 19526])).
% 13.04/13.20 tff(20986,plain,
% 13.04/13.20 (~xuntil272(s0)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[20985, 19630])).
% 13.04/13.20 tff(20987,plain,
% 13.04/13.20 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s0) | node270(s0) | (~until271(s0)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(20988,plain,
% 13.04/13.20 ((node270(s0) | (~until271(s0)) | xuntil272(s0)) <=> (xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(20989,plain,
% 13.04/13.20 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s0) | node270(s0) | (~until271(s0))))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[20988])).
% 13.04/13.20 tff(20990,plain,
% 13.04/13.20 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 13.04/13.20 inference(transitivity,[status(thm)],[20989, 20987])).
% 13.04/13.20 tff(20991,plain,
% 13.04/13.20 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))),
% 13.04/13.20 inference(quant_inst,[status(thm)],[])).
% 13.04/13.20 tff(20992,plain,
% 13.04/13.20 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 13.04/13.20 tff(20993,plain,
% 13.04/13.20 (node270(s0) | (~until271(s0))),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[20992, 19508, 20986])).
% 13.04/13.20 tff(20994,plain,
% 13.04/13.20 ($false),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[20993, 20981, 20676])).
% 13.04/13.20 tff(20995,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 13.04/13.20 tff(20996,plain,
% 13.04/13.20 (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(20997,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(20998,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(20999,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21000,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21001,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21002,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21003,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21004,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21005,plain,
% 13.04/13.20 ((((~loop) | trans(s9, s0)) | trans(s9, s1)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21006,plain,
% 13.04/13.20 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21005])).
% 13.04/13.20 tff(21007,plain,
% 13.04/13.20 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21006, 21004])).
% 13.04/13.20 tff(21008,plain,
% 13.04/13.20 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21007])).
% 13.04/13.20 tff(21009,plain,
% 13.04/13.20 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21008, 21003])).
% 13.04/13.20 tff(21010,plain,
% 13.04/13.20 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21009])).
% 13.04/13.20 tff(21011,plain,
% 13.04/13.20 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21010, 21002])).
% 13.04/13.20 tff(21012,plain,
% 13.04/13.20 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21011])).
% 13.04/13.20 tff(21013,plain,
% 13.04/13.20 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21012, 21001])).
% 13.04/13.20 tff(21014,plain,
% 13.04/13.20 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21013])).
% 13.04/13.20 tff(21015,plain,
% 13.04/13.20 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21014, 21000])).
% 13.04/13.20 tff(21016,plain,
% 13.04/13.20 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21015])).
% 13.04/13.20 tff(21017,plain,
% 13.04/13.20 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21016, 20999])).
% 13.04/13.20 tff(21018,plain,
% 13.04/13.20 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21017])).
% 13.04/13.20 tff(21019,plain,
% 13.04/13.20 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21018, 20998])).
% 13.04/13.20 tff(21020,plain,
% 13.04/13.20 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21019])).
% 13.04/13.20 tff(21021,plain,
% 13.04/13.20 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21020, 20997])).
% 13.04/13.20 tff(21022,axiom,(((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 13.04/13.20 tff(21023,plain,
% 13.04/13.20 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 13.04/13.20 tff(21024,plain,
% 13.04/13.20 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21023, 20996])).
% 13.04/13.20 tff(21025,plain,
% 13.04/13.20 (trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21024, 20995])).
% 13.04/13.20 tff(21026,plain,
% 13.04/13.20 (trans(s9, s2) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21025, 15936, 15774, 15732])).
% 13.04/13.20 tff(21027,plain,
% 13.04/13.20 ($false),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21026, 12006, 10198, 9283, 9265, 9250, 9228, 8611])).
% 13.04/13.20 tff(21028,plain,((~m_state_v_RRM(c_s, s7, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm1totable)), inference(lemma,lemma(discharge,[]))).
% 13.04/13.20 tff(21029,plain,
% 13.04/13.20 (~m_state_v_RRM(c_s, s7, c_counterclock)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21028, 5521])).
% 13.04/13.20 tff(21030,plain,
% 13.04/13.20 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)))),
% 13.04/13.20 inference(bind,[status(th)],[])).
% 13.04/13.20 tff(21031,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(quant_intro,[status(thm)],[21030])).
% 13.04/13.20 tff(21032,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21033,plain,
% 13.04/13.20 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_counterclock)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))))),
% 13.04/13.20 inference(bind,[status(th)],[])).
% 13.04/13.20 tff(21034,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(quant_intro,[status(thm)],[21033])).
% 13.04/13.20 tff(21035,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_177')).
% 13.04/13.20 tff(21036,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 13.04/13.20 tff(21037,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21036, 21032])).
% 13.04/13.20 tff(21038,plain,(
% 13.04/13.20 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(skolemize,[status(sab)],[21037])).
% 13.04/13.20 tff(21039,plain,
% 13.04/13.20 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21038, 21031])).
% 13.04/13.20 tff(21040,plain,
% 13.04/13.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21041,plain,
% 13.04/13.20 (((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | m_state_v_RRM(c_s, s7, c_counterclock)) <=> ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21042,plain,
% 13.04/13.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted))))),
% 13.04/13.20 inference(monotonicity,[status(thm)],[21041])).
% 13.04/13.20 tff(21043,plain,
% 13.04/13.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted)))),
% 13.04/13.20 inference(transitivity,[status(thm)],[21042, 21040])).
% 13.04/13.20 tff(21044,plain,
% 13.04/13.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s6, c_retracted)) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))),
% 13.04/13.20 inference(quant_inst,[status(thm)],[])).
% 13.04/13.20 tff(21045,plain,
% 13.04/13.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node159(c_s, s6, s7)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 13.04/13.20 tff(21046,plain,
% 13.04/13.20 ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21045, 21039, 6296])).
% 13.04/13.20 tff(21047,plain,
% 13.04/13.20 (m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21046, 5954, 4818])).
% 13.04/13.20 tff(21048,plain,
% 13.04/13.20 (~m_state_v_a1ext(c_s, s6, c_retracted)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21047, 21029])).
% 13.04/13.20 tff(21049,plain,
% 13.04/13.20 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21050,plain,
% 13.04/13.20 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.20 inference(quant_inst,[status(thm)],[])).
% 13.04/13.20 tff(21051,plain,
% 13.04/13.20 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21050, 21049])).
% 13.04/13.20 tff(21052,plain,
% 13.04/13.20 (~node1(c_s, s6)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21051, 6350, 21048])).
% 13.04/13.20 tff(21053,plain,
% 13.04/13.20 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))),
% 13.04/13.20 inference(rewrite,[status(thm)],[])).
% 13.04/13.20 tff(21054,plain,
% 13.04/13.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))),
% 13.04/13.20 inference(quant_inst,[status(thm)],[])).
% 13.04/13.20 tff(21055,plain,
% 13.04/13.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5))),
% 13.04/13.20 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 13.04/13.20 tff(21056,plain,
% 13.04/13.20 (~node18(c_s, s5)),
% 13.04/13.20 inference(unit_resolution,[status(thm)],[21055, 6761, 8873])).
% 13.04/13.21 tff(21057,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21058,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21059,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21058, 21057])).
% 13.04/13.21 tff(21060,plain,
% 13.04/13.21 (~node17(c_s, s5)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21059, 6750, 8873])).
% 13.04/13.21 tff(21061,plain,
% 13.04/13.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21062,plain,
% 13.04/13.21 (((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21063,plain,
% 13.04/13.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6)))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21062])).
% 13.04/13.21 tff(21064,plain,
% 13.04/13.21 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21063, 21061])).
% 13.04/13.21 tff(21065,plain,
% 13.04/13.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21066,plain,
% 13.04/13.21 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6)),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21065, 21064])).
% 13.04/13.21 tff(21067,plain,
% 13.04/13.21 (node20(c_s, s5, s6)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21066, 28, 6775, 15])).
% 13.04/13.21 tff(21068,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21069,plain,
% 13.04/13.21 ((node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6))) <=> (node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21070,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5)))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21069])).
% 13.04/13.21 tff(21071,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21070, 21068])).
% 13.04/13.21 tff(21072,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21073,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)) | node18(c_s, s5) | node17(c_s, s5)),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 13.04/13.21 tff(21074,plain,
% 13.04/13.21 (node19(c_s, s5, s6) | node18(c_s, s5) | node17(c_s, s5)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21073, 6792, 21067])).
% 13.04/13.21 tff(21075,plain,
% 13.04/13.21 (node19(c_s, s5, s6)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21074, 21060, 21056])).
% 13.04/13.21 tff(21076,assumption,(~m_state_v_pfl(c_s, s6)), introduced(assumption)).
% 13.04/13.21 tff(21077,assumption,(node19(c_s, s5, s6)), introduced(assumption)).
% 13.04/13.21 tff(21078,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21079,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21080,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6)),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 13.04/13.21 tff(21081,plain,
% 13.04/13.21 ($false),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21080, 6858, 6928, 21077, 21076])).
% 13.04/13.21 tff(21082,plain,((~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6)), inference(lemma,lemma(discharge,[]))).
% 13.04/13.21 tff(21083,plain,
% 13.04/13.21 (m_state_v_pfl(c_s, s6)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21082, 21075])).
% 13.04/13.21 tff(21084,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21085,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21086,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 13.04/13.21 tff(21087,plain,
% 13.04/13.21 (~node2(c_s, s6)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21086, 2266, 21083])).
% 13.04/13.21 tff(21088,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21089,plain,
% 13.04/13.21 ((node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7))) <=> (node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21090,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7)))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21089])).
% 13.04/13.21 tff(21091,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21090, 21088])).
% 13.04/13.21 tff(21092,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21093,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s6) | node1(c_s, s6) | (~node4(c_s, s6, s7)) | node3(c_s, s6, s7)),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 13.04/13.21 tff(21094,plain,
% 13.04/13.21 (node2(c_s, s6) | node1(c_s, s6) | node3(c_s, s6, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21093, 2241, 6321])).
% 13.04/13.21 tff(21095,plain,
% 13.04/13.21 (node1(c_s, s6) | node3(c_s, s6, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21094, 21087])).
% 13.04/13.21 tff(21096,plain,
% 13.04/13.21 (node3(c_s, s6, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21095, 21052])).
% 13.04/13.21 tff(21097,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21098,plain,
% 13.04/13.21 (((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7)) <=> ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21099,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7))))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21098])).
% 13.04/13.21 tff(21100,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21099, 21097])).
% 13.04/13.21 tff(21101,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21102,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 13.04/13.21 tff(21103,plain,
% 13.04/13.21 (m_state_v_tl(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21102, 2287, 8144, 21096])).
% 13.04/13.21 tff(21104,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21105,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21106,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 13.04/13.21 tff(21107,plain,
% 13.04/13.21 (~node166(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21106, 7821, 21103])).
% 13.04/13.21 tff(21108,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21109,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21110,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node167(c_s, s7))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 13.04/13.21 tff(21111,plain,
% 13.04/13.21 (~node167(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21110, 7843, 8775])).
% 13.04/13.21 tff(21112,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21113,plain,
% 13.04/13.21 ((node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8))) <=> (node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21114,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8))))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21113])).
% 13.04/13.21 tff(21115,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8)))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21114, 21112])).
% 13.04/13.21 tff(21116,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21117,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21116, 21115])).
% 13.04/13.21 tff(21118,plain,
% 13.04/13.21 (node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7) | (~node169(c_s, s7, s8))),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21117, 6494])).
% 13.04/13.21 tff(21119,plain,
% 13.04/13.21 (node164(c_s, s7) | node165(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21118, 8638])).
% 13.04/13.21 tff(21120,plain,
% 13.04/13.21 (node165(c_s, s7) | node168(c_s, s7, s8) | node166(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21119, 21111, 8629])).
% 13.04/13.21 tff(21121,plain,
% 13.04/13.21 (node168(c_s, s7, s8) | node166(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21120, 8622])).
% 13.04/13.21 tff(21122,plain,
% 13.04/13.21 (node168(c_s, s7, s8)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21121, 21107])).
% 13.04/13.21 tff(21123,assumption,(m_state_v_TRM(c_s, s7, c_idle)), introduced(assumption)).
% 13.04/13.21 tff(21124,assumption,(~m_state_v_TRM(c_s, s8, c_idle)), introduced(assumption)).
% 13.04/13.21 tff(21125,assumption,(node168(c_s, s7, s8)), introduced(assumption)).
% 13.04/13.21 tff(21126,plain,
% 13.04/13.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21127,plain,
% 13.04/13.21 (((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle)) <=> (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21128,plain,
% 13.04/13.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8))))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21127])).
% 13.04/13.21 tff(21129,plain,
% 13.04/13.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21128, 21126])).
% 13.04/13.21 tff(21130,plain,
% 13.04/13.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21131,plain,
% 13.04/13.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21130, 21129])).
% 13.04/13.21 tff(21132,plain,
% 13.04/13.21 ($false),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21131, 6528, 21125, 21124, 21123])).
% 13.04/13.21 tff(21133,plain,((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 13.04/13.21 tff(21134,plain,
% 13.04/13.21 ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s8, c_idle)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21133, 8326])).
% 13.04/13.21 tff(21135,plain,
% 13.04/13.21 (m_state_v_TRM(c_s, s8, c_idle)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21134, 21122])).
% 13.04/13.21 tff(21136,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21137,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21138,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 13.04/13.21 tff(21139,plain,
% 13.04/13.21 ((~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7))),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21138, 7055])).
% 13.04/13.21 tff(21140,plain,
% 13.04/13.21 (~node172(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21139, 21103])).
% 13.04/13.21 tff(21141,plain,
% 13.04/13.21 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21142,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))),
% 13.04/13.21 inference(quant_inst,[status(thm)],[])).
% 13.04/13.21 tff(21143,plain,
% 13.04/13.21 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node173(c_s, s7))),
% 13.04/13.21 inference(modus_ponens,[status(thm)],[21142, 21141])).
% 13.04/13.21 tff(21144,plain,
% 13.04/13.21 (~node173(c_s, s7)),
% 13.04/13.21 inference(unit_resolution,[status(thm)],[21143, 7298, 8417])).
% 13.04/13.21 tff(21145,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21146,plain,
% 13.04/13.21 ((node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8))) <=> (node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))),
% 13.04/13.21 inference(rewrite,[status(thm)],[])).
% 13.04/13.21 tff(21147,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8))))),
% 13.04/13.21 inference(monotonicity,[status(thm)],[21146])).
% 13.04/13.21 tff(21148,plain,
% 13.04/13.21 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))),
% 13.04/13.21 inference(transitivity,[status(thm)],[21147, 21145])).
% 13.04/13.21 tff(21149,plain,
% 13.04/13.21 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21150,plain,
% 13.04/13.22 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 13.04/13.22 tff(21151,plain,
% 13.04/13.22 (node172(c_s, s7) | node170(c_s, s7) | node173(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21150, 7135, 8489])).
% 13.04/13.22 tff(21152,plain,
% 13.04/13.22 (node172(c_s, s7) | node171(c_s, s7) | node174(c_s, s7, s8)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21151, 21144, 8424])).
% 13.04/13.22 tff(21153,plain,
% 13.04/13.22 (node172(c_s, s7) | node174(c_s, s7, s8)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21152, 8143])).
% 13.04/13.22 tff(21154,plain,
% 13.04/13.22 (node174(c_s, s7, s8)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21153, 21140])).
% 13.04/13.22 tff(21155,assumption,(node174(c_s, s7, s8)), introduced(assumption)).
% 13.04/13.22 tff(21156,assumption,(m_state_v_TEM(c_s, s7, c_idle)), introduced(assumption)).
% 13.04/13.22 tff(21157,assumption,(~m_state_v_TEM(c_s, s8, c_idle)), introduced(assumption)).
% 13.04/13.22 tff(21158,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21159,plain,
% 13.04/13.22 (((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle)) <=> (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21160,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8))))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21159])).
% 13.04/13.22 tff(21161,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21160, 21158])).
% 13.04/13.22 tff(21162,plain,
% 13.04/13.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21163,plain,
% 13.04/13.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 13.04/13.22 tff(21164,plain,
% 13.04/13.22 ($false),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21163, 7152, 21157, 21156, 21155])).
% 13.04/13.22 tff(21165,plain,((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 13.04/13.22 tff(21166,plain,
% 13.04/13.22 ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s8, c_idle)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21165, 8367])).
% 13.04/13.22 tff(21167,plain,
% 13.04/13.22 (m_state_v_TEM(c_s, s8, c_idle)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21166, 21154])).
% 13.04/13.22 tff(21168,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21169,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21170,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21169, 21168])).
% 13.04/13.22 tff(21171,plain,
% 13.04/13.22 (~node127(c_s, s6)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21170, 1542, 5240])).
% 13.04/13.22 tff(21172,assumption,(~node126(c_s, s6)), introduced(assumption)).
% 13.04/13.22 tff(21173,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21174,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21175,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 13.04/13.22 tff(21176,plain,
% 13.04/13.22 (~node129(c_s, s6)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21175, 1573, 5240])).
% 13.04/13.22 tff(21177,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | ((~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21178,plain,
% 13.04/13.22 ((m_state_v_angle(c_s, s6, c_arm1topress) | (~node123(c_s, s6))) <=> ((~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21179,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node123(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | ((~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress)))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21178])).
% 13.04/13.22 tff(21180,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node123(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21179, 21177])).
% 13.04/13.22 tff(21181,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node123(c_s, s6)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21182,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (~node123(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress)),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21181, 21180])).
% 13.04/13.22 tff(21183,plain,
% 13.04/13.22 (~node123(c_s, s6)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21182, 1585, 5240])).
% 13.04/13.22 tff(21184,assumption,(~node125(c_s, s6)), introduced(assumption)).
% 13.04/13.22 tff(21185,assumption,(~node122(c_s, s6)), introduced(assumption)).
% 13.04/13.22 tff(21186,assumption,(~node124(c_s, s6)), introduced(assumption)).
% 13.04/13.22 tff(21187,assumption,(~m_state_v_RRM(c_s, s7, c_counterclock)), introduced(assumption)).
% 13.04/13.22 tff(21188,assumption,(m_state_v_A1M(c_s, s6, c_retract)), introduced(assumption)).
% 13.04/13.22 tff(21189,plain,
% 13.04/13.22 (~m_state_v_a1ext(c_s, s6, c_retracted)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21046, 21188, 5176, 21187])).
% 13.04/13.22 tff(21190,plain,
% 13.04/13.22 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))))),
% 13.04/13.22 inference(bind,[status(th)],[])).
% 13.04/13.22 tff(21191,plain,
% 13.04/13.22 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 13.04/13.22 inference(quant_intro,[status(thm)],[21190])).
% 13.04/13.22 tff(21192,plain,
% 13.04/13.22 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21193,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_Robot_39')).
% 13.04/13.22 tff(21194,plain,
% 13.04/13.22 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21193, 21192])).
% 13.04/13.22 tff(21195,plain,(
% 13.04/13.22 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 13.04/13.22 inference(skolemize,[status(sab)],[21194])).
% 13.04/13.22 tff(21196,plain,
% 13.04/13.22 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21195, 21191])).
% 13.04/13.22 tff(21197,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21198,plain,
% 13.04/13.22 ((m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6))) <=> ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21199,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21198])).
% 13.04/13.22 tff(21200,plain,
% 13.04/13.22 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21199, 21197])).
% 13.04/13.22 tff(21201,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21202,plain,
% 13.04/13.22 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 13.04/13.22 tff(21203,plain,
% 13.04/13.22 (~node128(c_s, s6)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21202, 21196, 21189])).
% 13.04/13.22 tff(21204,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21205,plain,
% 13.04/13.22 ((node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7))) <=> (node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21206,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7))))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21205])).
% 13.04/13.22 tff(21207,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21206, 21204])).
% 13.04/13.22 tff(21208,plain,
% 13.04/13.22 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21209,plain,
% 13.04/13.22 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21208, 21207])).
% 13.04/13.22 tff(21210,plain,
% 13.04/13.22 (node123(c_s, s6) | node127(c_s, s6) | node126(c_s, s6) | node122(c_s, s6) | node129(c_s, s6) | node128(c_s, s6) | node125(c_s, s6) | node124(c_s, s6) | node130(c_s, s6, s7)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21209, 1602, 9103])).
% 13.04/13.22 tff(21211,plain,
% 13.04/13.22 (node130(c_s, s6, s7)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21210, 21203, 21186, 21185, 21184, 21183, 21176, 21172, 21171])).
% 13.04/13.22 tff(21212,assumption,(~m_state_v_A1M(c_s, s7, c_retract)), introduced(assumption)).
% 13.04/13.22 tff(21213,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21214,plain,
% 13.04/13.22 (((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract)) <=> ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21215,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7))))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21214])).
% 13.04/13.22 tff(21216,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7)))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21215, 21213])).
% 13.04/13.22 tff(21217,plain,
% 13.04/13.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21218,plain,
% 13.04/13.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | (~node130(c_s, s6, s7))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 13.04/13.22 tff(21219,plain,
% 13.04/13.22 ($false),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21218, 2021, 21188, 21212, 21211])).
% 13.04/13.22 tff(21220,plain,((~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract) | node124(c_s, s6) | node122(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_RRM(c_s, s7, c_counterclock)), inference(lemma,lemma(discharge,[]))).
% 13.04/13.22 tff(21221,plain,
% 13.04/13.22 (m_state_v_A1M(c_s, s7, c_retract) | m_state_v_RRM(c_s, s7, c_counterclock)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21220, 5954, 8999, 8991, 8995, 4818, 9021])).
% 13.04/13.22 tff(21222,plain,
% 13.04/13.22 (m_state_v_A1M(c_s, s7, c_retract)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21221, 21029])).
% 13.04/13.22 tff(21223,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21224,plain,
% 13.04/13.22 (((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21225,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8))))),
% 13.04/13.22 inference(monotonicity,[status(thm)],[21224])).
% 13.04/13.22 tff(21226,plain,
% 13.04/13.22 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 13.04/13.22 inference(transitivity,[status(thm)],[21225, 21223])).
% 13.04/13.22 tff(21227,plain,
% 13.04/13.22 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))),
% 13.04/13.22 inference(quant_inst,[status(thm)],[])).
% 13.04/13.22 tff(21228,plain,
% 13.04/13.22 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8))),
% 13.04/13.22 inference(modus_ponens,[status(thm)],[21227, 21226])).
% 13.04/13.22 tff(21229,plain,
% 13.04/13.22 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8))),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21228, 6331, 9142])).
% 13.04/13.22 tff(21230,plain,
% 13.04/13.22 ((~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_tl(c_s, s8))),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21229, 9385, 5186])).
% 13.04/13.22 tff(21231,plain,
% 13.04/13.22 (~m_state_v_tl(c_s, s8)),
% 13.04/13.22 inference(unit_resolution,[status(thm)],[21230, 21222])).
% 13.04/13.22 tff(21232,assumption,(~m_state_v_TRM(c_s, s7, c_clockwise)), introduced(assumption)).
% 13.04/13.22 tff(21233,assumption,(m_state_v_TRM(c_s, s8, c_clockwise)), introduced(assumption)).
% 13.04/13.22 tff(21234,plain,
% 13.04/13.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.22 inference(rewrite,[status(thm)],[])).
% 13.04/13.22 tff(21235,plain,
% 13.04/13.22 (((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_clockwise))) <=> ((~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21236,plain,
% 13.04/13.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21235])).
% 13.04/13.23 tff(21237,plain,
% 13.04/13.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21236, 21234])).
% 13.04/13.23 tff(21238,plain,
% 13.04/13.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_clockwise)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21239,plain,
% 13.04/13.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node168(c_s, s7, s8))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 13.04/13.23 tff(21240,plain,
% 13.04/13.23 ($false),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21239, 6511, 21233, 21232, 21125])).
% 13.04/13.23 tff(21241,plain,(m_state_v_TRM(c_s, s7, c_clockwise) | (~m_state_v_TRM(c_s, s8, c_clockwise)) | (~node168(c_s, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 13.04/13.23 tff(21242,plain,
% 13.04/13.23 ((~m_state_v_TRM(c_s, s8, c_clockwise)) | (~node168(c_s, s7, s8))),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21241, 8618])).
% 13.04/13.23 tff(21243,plain,
% 13.04/13.23 (~m_state_v_TRM(c_s, s8, c_clockwise)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21242, 21122])).
% 13.04/13.23 tff(21244,plain,
% 13.04/13.23 (~node165(c_s, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[8721, 7832, 21243])).
% 13.04/13.23 tff(21245,plain,
% 13.04/13.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21246,plain,
% 13.04/13.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21247,plain,
% 13.04/13.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8)),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 13.04/13.23 tff(21248,plain,
% 13.04/13.23 (node28(c_s, s7, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21247, 28, 2384, 5304])).
% 13.04/13.23 tff(21249,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21250,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21251,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 13.04/13.23 tff(21252,plain,
% 13.04/13.23 (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21251, 6397, 21248])).
% 13.04/13.23 tff(21253,plain,
% 13.04/13.23 (node27(c_s, s7, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21252, 8744, 8618])).
% 13.04/13.23 tff(21254,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21255,plain,
% 13.04/13.23 (((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8)) <=> (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21256,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21255])).
% 13.04/13.23 tff(21257,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21256, 21254])).
% 13.04/13.23 tff(21258,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21259,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 13.04/13.23 tff(21260,plain,
% 13.04/13.23 (m_state_v_maxRot(c_s, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21259, 7978, 8485, 21253])).
% 13.04/13.23 tff(21261,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21262,plain,
% 13.04/13.23 ((m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node164(c_s, s8) | node165(c_s, s8) | (~node169(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TRM(c_s, s9, c_counterclockwise)) <=> (m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21263,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node164(c_s, s8) | node165(c_s, s8) | (~node169(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TRM(c_s, s9, c_counterclockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21262])).
% 13.04/13.23 tff(21264,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node164(c_s, s8) | node165(c_s, s8) | (~node169(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TRM(c_s, s9, c_counterclockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21263, 21261])).
% 13.04/13.23 tff(21265,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node164(c_s, s8) | node165(c_s, s8) | (~node169(c_s, s8, s9)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TRM(c_s, s9, c_counterclockwise))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21266,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | node165(J0, X) | (~node169(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TRM(J0, Y, c_counterclockwise))) | m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8) | (~node169(c_s, s8, s9))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21265, 21264])).
% 13.04/13.23 tff(21267,plain,
% 13.04/13.23 (m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8) | node164(c_s, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21266, 8648, 8800])).
% 13.04/13.23 tff(21268,plain,
% 13.04/13.23 (m_state_v_TRM(c_s, s9, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_tl(c_s, s8) | node165(c_s, s8)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21267, 8595, 8793, 21260])).
% 13.04/13.23 tff(21269,plain,
% 13.04/13.23 (m_state_v_TRM(c_s, s9, c_counterclockwise)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21268, 21244, 21231, 21167, 21135])).
% 13.04/13.23 tff(21270,plain,
% 13.04/13.23 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s9, c_clockwise)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s9, c_clockwise)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21271,plain,
% 13.04/13.23 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s9, c_clockwise)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21272,plain,
% 13.04/13.23 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s9, c_clockwise)) | (~m_state_v_TRM(c_s, s9, c_counterclockwise))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 13.04/13.23 tff(21273,plain,
% 13.04/13.23 (~m_state_v_TRM(c_s, s9, c_clockwise)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21272, 6439, 21269])).
% 13.04/13.23 tff(21274,plain,
% 13.04/13.23 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s9, c_clockwise) | (~node165(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s9, c_clockwise) | (~node165(c_s, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21275,plain,
% 13.04/13.23 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s9, c_clockwise) | (~node165(c_s, s9)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21276,plain,
% 13.04/13.23 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s9, c_clockwise) | (~node165(c_s, s9))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21275, 21274])).
% 13.04/13.23 tff(21277,plain,
% 13.04/13.23 (~node165(c_s, s9)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21276, 7832, 21273])).
% 13.04/13.23 tff(21278,plain,
% 13.04/13.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21279,plain,
% 13.04/13.23 (((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21280,plain,
% 13.04/13.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21279])).
% 13.04/13.23 tff(21281,plain,
% 13.04/13.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21280, 21278])).
% 13.04/13.23 tff(21282,plain,
% 13.04/13.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21283,plain,
% 13.04/13.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s8, c_counterclockwise)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | (~node168(c_s, s7, s8))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21282, 21281])).
% 13.04/13.23 tff(21284,plain,
% 13.04/13.23 (~m_state_v_TRM(c_s, s8, c_counterclockwise)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21283, 6511, 21122, 8744])).
% 13.04/13.23 tff(21285,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21286,plain,
% 13.04/13.23 ((node25(c_s, s8, s9) | (~node26(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_counterclockwise) | m_state_v_TRM(c_s, s8, c_clockwise)) <=> (m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21287,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s8, s9) | (~node26(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_counterclockwise) | m_state_v_TRM(c_s, s8, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21286])).
% 13.04/13.23 tff(21288,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s8, s9) | (~node26(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_counterclockwise) | m_state_v_TRM(c_s, s8, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21287, 21285])).
% 13.04/13.23 tff(21289,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s8, s9) | (~node26(c_s, s8, s9)) | m_state_v_TRM(c_s, s8, c_counterclockwise) | m_state_v_TRM(c_s, s8, c_clockwise))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21290,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9) | (~node26(c_s, s8, s9))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 13.04/13.23 tff(21291,plain,
% 13.04/13.23 (m_state_v_TRM(c_s, s8, c_clockwise) | m_state_v_TRM(c_s, s8, c_counterclockwise) | node25(c_s, s8, s9)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21290, 7412, 8662])).
% 13.04/13.23 tff(21292,plain,
% 13.04/13.23 (node25(c_s, s8, s9)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21291, 21284, 21243])).
% 13.04/13.23 tff(21293,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21294,plain,
% 13.04/13.23 ((m_state_v_minRot(c_s, s8) | (~node25(c_s, s8, s9)) | (~m_state_v_minRot(c_s, s9))) <=> (m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21295,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s8) | (~node25(c_s, s8, s9)) | (~m_state_v_minRot(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9))))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21294])).
% 13.04/13.23 tff(21296,plain,
% 13.04/13.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s8) | (~node25(c_s, s8, s9)) | (~m_state_v_minRot(c_s, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9)))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21295, 21293])).
% 13.04/13.23 tff(21297,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s8) | (~node25(c_s, s8, s9)) | (~m_state_v_minRot(c_s, s9)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21298,plain,
% 13.04/13.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s8) | (~m_state_v_minRot(c_s, s9)) | (~node25(c_s, s8, s9))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 13.04/13.23 tff(21299,plain,
% 13.04/13.23 (~m_state_v_minRot(c_s, s9)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21298, 7429, 8782, 21292])).
% 13.04/13.23 tff(21300,plain,
% 13.04/13.23 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s9)) | m_state_v_minRot(c_s, s9))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s9)) | m_state_v_minRot(c_s, s9))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21301,plain,
% 13.04/13.23 ((m_state_v_minRot(c_s, s9) | (~node167(c_s, s9))) <=> ((~node167(c_s, s9)) | m_state_v_minRot(c_s, s9))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21302,plain,
% 13.04/13.23 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s9) | (~node167(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s9)) | m_state_v_minRot(c_s, s9)))),
% 13.04/13.23 inference(monotonicity,[status(thm)],[21301])).
% 13.04/13.23 tff(21303,plain,
% 13.04/13.23 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s9) | (~node167(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s9)) | m_state_v_minRot(c_s, s9))),
% 13.04/13.23 inference(transitivity,[status(thm)],[21302, 21300])).
% 13.04/13.23 tff(21304,plain,
% 13.04/13.23 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s9) | (~node167(c_s, s9)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21305,plain,
% 13.04/13.23 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s9)) | m_state_v_minRot(c_s, s9)),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 13.04/13.23 tff(21306,plain,
% 13.04/13.23 (~node167(c_s, s9)),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21305, 7843, 21299])).
% 13.04/13.23 tff(21307,plain,
% 13.04/13.23 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | (~m_state_v_TRM(c_s, s9, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | (~m_state_v_TRM(c_s, s9, c_idle)))),
% 13.04/13.23 inference(rewrite,[status(thm)],[])).
% 13.04/13.23 tff(21308,plain,
% 13.04/13.23 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | (~m_state_v_TRM(c_s, s9, c_idle)))),
% 13.04/13.23 inference(quant_inst,[status(thm)],[])).
% 13.04/13.23 tff(21309,plain,
% 13.04/13.23 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s9, c_counterclockwise)) | (~m_state_v_TRM(c_s, s9, c_idle))),
% 13.04/13.23 inference(modus_ponens,[status(thm)],[21308, 21307])).
% 13.04/13.23 tff(21310,plain,
% 13.04/13.23 ((~m_state_v_TRM(c_s, s9, c_counterclockwise)) | (~m_state_v_TRM(c_s, s9, c_idle))),
% 13.04/13.23 inference(unit_resolution,[status(thm)],[21309, 6383])).
% 13.04/13.23 tff(21311,plain,
% 13.04/13.23 (~m_state_v_TRM(c_s, s9, c_idle)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21310, 21269])).
% 13.04/13.24 tff(21312,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21313,plain,
% 13.04/13.24 (((~node168(c_s, s9, s6)) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle))) <=> (m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21314,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s9, s6)) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21313])).
% 13.04/13.24 tff(21315,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s9, s6)) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6)))),
% 13.04/13.24 inference(transitivity,[status(thm)],[21314, 21312])).
% 13.04/13.24 tff(21316,plain,
% 13.04/13.24 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s9, s6)) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21317,plain,
% 13.04/13.24 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 13.04/13.24 tff(21318,plain,
% 13.04/13.24 (m_state_v_TRM(c_s, s9, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s9, s6))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21317, 6511])).
% 13.04/13.24 tff(21319,plain,
% 13.04/13.24 (m_state_v_TRM(c_s, s9, c_idle) | (~node168(c_s, s9, s6))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21318, 8239])).
% 13.04/13.24 tff(21320,plain,
% 13.04/13.24 (~node168(c_s, s9, s6)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21319, 21311])).
% 13.04/13.24 tff(21321,plain,
% 13.04/13.24 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s9, c_idle) | (~node166(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s9, c_idle) | (~node166(c_s, s9)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21322,plain,
% 13.04/13.24 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s9, c_idle) | (~node166(c_s, s9)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21323,plain,
% 13.04/13.24 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s9, c_idle) | (~node166(c_s, s9))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 13.04/13.24 tff(21324,plain,
% 13.04/13.24 (~node166(c_s, s9)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21323, 6466, 21311])).
% 13.04/13.24 tff(21325,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21326,plain,
% 13.04/13.24 (((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21327,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21326])).
% 13.04/13.24 tff(21328,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8)))),
% 13.04/13.24 inference(transitivity,[status(thm)],[21327, 21325])).
% 13.04/13.24 tff(21329,plain,
% 13.04/13.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21330,plain,
% 13.04/13.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node131(c_s, s7, s8))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 13.04/13.24 tff(21331,plain,
% 13.04/13.24 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21330, 9113, 9564])).
% 13.04/13.24 tff(21332,plain,
% 13.04/13.24 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node127(c_s, s7) | node125(c_s, s7) | node124(c_s, s7) | node126(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21331, 9557])).
% 13.04/13.24 tff(21333,plain,
% 13.04/13.24 (m_state_v_A1M(c_s, s8, c_idle) | (~m_state_v_A1M(c_s, s7, c_retract))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21332, 9385, 9401, 5186, 9495, 9393, 9499, 9477])).
% 13.04/13.24 tff(21334,plain,
% 13.04/13.24 (m_state_v_A1M(c_s, s8, c_idle)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21333, 21222])).
% 13.04/13.24 tff(21335,plain,
% 13.04/13.24 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21336,plain,
% 13.04/13.24 (((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle))) <=> ((~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21337,plain,
% 13.04/13.24 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21336])).
% 13.04/13.24 tff(21338,plain,
% 13.04/13.24 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract)))),
% 13.04/13.24 inference(transitivity,[status(thm)],[21337, 21335])).
% 13.04/13.24 tff(21339,plain,
% 13.04/13.24 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21340,plain,
% 13.04/13.24 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_idle)) | (~m_state_v_A1M(c_s, s8, c_retract))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 13.04/13.24 tff(21341,plain,
% 13.04/13.24 (~m_state_v_A1M(c_s, s8, c_retract)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21340, 847, 21334])).
% 13.04/13.24 tff(21342,plain,
% 13.04/13.24 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21343,plain,
% 13.04/13.24 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21344,plain,
% 13.04/13.24 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 13.04/13.24 tff(21345,plain,
% 13.04/13.24 (~node1(c_s, s8)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21344, 2072, 21341])).
% 13.04/13.24 tff(21346,plain,
% 13.04/13.24 (node3(c_s, s8, s9)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[8982, 21345])).
% 13.04/13.24 tff(21347,plain,
% 13.04/13.24 (~m_state_v_tl(c_s, s9)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[9179, 21346, 21231])).
% 13.04/13.24 tff(21348,plain,
% 13.04/13.24 (~node164(c_s, s9)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[9193, 9187, 21347])).
% 13.04/13.24 tff(21349,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21350,plain,
% 13.04/13.24 ((node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6))) <=> (node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21351,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21350])).
% 13.04/13.24 tff(21352,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))),
% 13.04/13.24 inference(transitivity,[status(thm)],[21351, 21349])).
% 13.04/13.24 tff(21353,plain,
% 13.04/13.24 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s9) | node165(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21354,plain,
% 13.04/13.24 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node165(c_s, s9) | node164(c_s, s9) | node166(c_s, s9) | node167(c_s, s9) | node168(c_s, s9, s6) | (~node169(c_s, s9, s6))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 13.04/13.24 tff(21355,plain,
% 13.04/13.24 (node165(c_s, s9) | node167(c_s, s9) | (~node169(c_s, s9, s6))),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21354, 6494, 21348, 21324, 21320])).
% 13.04/13.24 tff(21356,plain,
% 13.04/13.24 (~node169(c_s, s9, s6)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21355, 21306, 21277])).
% 13.04/13.24 tff(21357,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21358,plain,
% 13.04/13.24 (((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up))) <=> (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21359,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21358])).
% 13.04/13.24 tff(21360,plain,
% 13.04/13.24 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 13.04/13.24 inference(transitivity,[status(thm)],[21359, 21357])).
% 13.04/13.24 tff(21361,plain,
% 13.04/13.24 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 13.04/13.24 inference(quant_inst,[status(thm)],[])).
% 13.04/13.24 tff(21362,plain,
% 13.04/13.24 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8))),
% 13.04/13.24 inference(modus_ponens,[status(thm)],[21361, 21360])).
% 13.04/13.24 tff(21363,plain,
% 13.04/13.24 (~m_state_v_TEM(c_s, s8, c_up)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[21362, 7245, 8139, 21154])).
% 13.04/13.24 tff(21364,plain,
% 13.04/13.24 (~node171(c_s, s8)),
% 13.04/13.24 inference(unit_resolution,[status(thm)],[8515, 7309, 21363])).
% 13.04/13.24 tff(21365,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21366,plain,
% 13.04/13.24 ((m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down)) <=> ((~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 13.04/13.24 inference(rewrite,[status(thm)],[])).
% 13.04/13.24 tff(21367,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9))))),
% 13.04/13.24 inference(monotonicity,[status(thm)],[21366])).
% 13.04/13.24 tff(21368,plain,
% 13.04/13.24 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21367, 21365])).
% 13.04/13.25 tff(21369,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21370,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 13.04/13.25 tff(21371,plain,
% 13.04/13.25 ((~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node170(c_s, s8) | node171(c_s, s8)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21370, 7745, 8553])).
% 13.04/13.25 tff(21372,plain,
% 13.04/13.25 ((~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | m_state_v_tl(c_s, s8) | node171(c_s, s8)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21371, 8595, 21260, 8549])).
% 13.04/13.25 tff(21373,plain,
% 13.04/13.25 (m_state_v_TEM(c_s, s9, c_down)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21372, 21364, 21231, 21167, 21135])).
% 13.04/13.25 tff(21374,plain,
% 13.04/13.25 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21375,plain,
% 13.04/13.25 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21376,plain,
% 13.04/13.25 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21375, 21374])).
% 13.04/13.25 tff(21377,plain,
% 13.04/13.25 (~m_state_v_TEM(c_s, s9, c_up)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21376, 7077, 21373])).
% 13.04/13.25 tff(21378,plain,
% 13.04/13.25 (~node22(c_s, s9, s8)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[8603, 21377, 21373])).
% 13.04/13.25 tff(21379,plain,
% 13.04/13.25 (~trans(s9, s8)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[8610, 28, 1909, 21378])).
% 13.04/13.25 tff(21380,assumption,(~node21(c_s, s8, s9)), introduced(assumption)).
% 13.04/13.25 tff(21381,assumption,(m_state_v_TEM(c_s, s8, c_idle)), introduced(assumption)).
% 13.04/13.25 tff(21382,plain,
% 13.04/13.25 (~m_state_v_TEM(c_s, s8, c_down)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[8502, 1929, 21381])).
% 13.04/13.25 tff(21383,plain,
% 13.04/13.25 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21384,plain,
% 13.04/13.25 (((~m_state_v_TEM(c_s, s8, c_up)) | (~m_state_v_TEM(c_s, s8, c_idle))) <=> ((~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21385,plain,
% 13.04/13.25 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_up)) | (~m_state_v_TEM(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up))))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21384])).
% 13.04/13.25 tff(21386,plain,
% 13.04/13.25 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_up)) | (~m_state_v_TEM(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21385, 21383])).
% 13.04/13.25 tff(21387,plain,
% 13.04/13.25 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s8, c_up)) | (~m_state_v_TEM(c_s, s8, c_idle)))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21388,plain,
% 13.04/13.25 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_up))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21387, 21386])).
% 13.04/13.25 tff(21389,plain,
% 13.04/13.25 (~m_state_v_TEM(c_s, s8, c_up)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21388, 1940, 21381])).
% 13.04/13.25 tff(21390,plain,
% 13.04/13.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s8, s9))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21391,plain,
% 13.04/13.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s8, s9))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21392,plain,
% 13.04/13.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s8, s9)),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 13.04/13.25 tff(21393,plain,
% 13.04/13.25 (node22(c_s, s8, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21392, 28, 1909, 5508])).
% 13.04/13.25 tff(21394,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21395,plain,
% 13.04/13.25 ((node21(c_s, s8, s9) | (~node22(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | m_state_v_TEM(c_s, s8, c_down)) <=> (m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21396,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s8, s9) | (~node22(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | m_state_v_TEM(c_s, s8, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9)))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21395])).
% 13.04/13.25 tff(21397,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s8, s9) | (~node22(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | m_state_v_TEM(c_s, s8, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21396, 21394])).
% 13.04/13.25 tff(21398,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s8, s9) | (~node22(c_s, s8, s9)) | m_state_v_TEM(c_s, s8, c_up) | m_state_v_TEM(c_s, s8, c_down))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21399,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | (~node22(c_s, s8, s9)) | node21(c_s, s8, s9)),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21398, 21397])).
% 13.04/13.25 tff(21400,plain,
% 13.04/13.25 (m_state_v_TEM(c_s, s8, c_down) | m_state_v_TEM(c_s, s8, c_up) | node21(c_s, s8, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21399, 1957, 21393])).
% 13.04/13.25 tff(21401,plain,
% 13.04/13.25 ($false),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21400, 21389, 21382, 21380])).
% 13.04/13.25 tff(21402,plain,((~m_state_v_TEM(c_s, s8, c_idle)) | node21(c_s, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 13.04/13.25 tff(21403,plain,
% 13.04/13.25 (node21(c_s, s8, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21402, 21167])).
% 13.04/13.25 tff(21404,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21405,plain,
% 13.04/13.25 (((~node21(c_s, s8, s9)) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9)) <=> ((~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21406,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s8, s9)) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9))))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21405])).
% 13.04/13.25 tff(21407,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s8, s9)) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21406, 21404])).
% 13.04/13.25 tff(21408,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s8, s9)) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21409,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_topPos(c_s, s9) | (~node21(c_s, s8, s9))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 13.04/13.25 tff(21410,plain,
% 13.04/13.25 (m_state_v_topPos(c_s, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21409, 7633, 8595, 21403])).
% 13.04/13.25 tff(21411,assumption,(m_state_v_topPos(c_s, s9)), introduced(assumption)).
% 13.04/13.25 tff(21412,plain,
% 13.04/13.25 (~m_state_v_TEM(c_s, s9, c_up)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21376, 7077, 9232])).
% 13.04/13.25 tff(21413,assumption,(node22(c_s, s9, s9)), introduced(assumption)).
% 13.04/13.25 tff(21414,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21415,plain,
% 13.04/13.25 (((~m_state_v_topPos(c_s, s9)) | (~node22(c_s, s9, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21416,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s9)) | (~node22(c_s, s9, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down))))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21415])).
% 13.04/13.25 tff(21417,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s9)) | (~node22(c_s, s9, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21416, 21414])).
% 13.04/13.25 tff(21418,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s9)) | (~node22(c_s, s9, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21419,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s9)) | m_state_v_TEM(c_s, s9, c_up) | (~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 13.04/13.25 tff(21420,plain,
% 13.04/13.25 ($false),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21419, 7715, 21413, 9232, 21412, 21411])).
% 13.04/13.25 tff(21421,plain,((~node22(c_s, s9, s9)) | (~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_topPos(c_s, s9))), inference(lemma,lemma(discharge,[]))).
% 13.04/13.25 tff(21422,plain,
% 13.04/13.25 (~node22(c_s, s9, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21421, 21373, 21410])).
% 13.04/13.25 tff(21423,plain,
% 13.04/13.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21424,plain,
% 13.04/13.25 (((~trans(s9, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s9)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21425,plain,
% 13.04/13.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9)))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21424])).
% 13.04/13.25 tff(21426,plain,
% 13.04/13.25 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21425, 21423])).
% 13.04/13.25 tff(21427,plain,
% 13.04/13.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s9))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21428,plain,
% 13.04/13.25 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s9)) | node22(c_s, s9, s9)),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21427, 21426])).
% 13.04/13.25 tff(21429,plain,
% 13.04/13.25 ((~trans(s9, s9)) | node22(c_s, s9, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21428, 28, 1909])).
% 13.04/13.25 tff(21430,plain,
% 13.04/13.25 (~trans(s9, s9)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21429, 21422])).
% 13.04/13.25 tff(21431,plain,
% 13.04/13.25 (~node22(c_s, s9, s7)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9241, 21377, 21373])).
% 13.04/13.25 tff(21432,plain,
% 13.04/13.25 (~trans(s9, s7)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9249, 21431])).
% 13.04/13.25 tff(21433,plain,
% 13.04/13.25 (~node22(c_s, s9, s2)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9257, 21377, 21373])).
% 13.04/13.25 tff(21434,plain,
% 13.04/13.25 (~trans(s9, s2)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9264, 28, 1909, 21433])).
% 13.04/13.25 tff(21435,plain,
% 13.04/13.25 (~node26(c_s, s9, s4)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9274, 21269])).
% 13.04/13.25 tff(21436,plain,
% 13.04/13.25 (~trans(s9, s4)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[9282, 21435])).
% 13.04/13.25 tff(21437,assumption,(node150(c_s, s6)), introduced(assumption)).
% 13.04/13.25 tff(21438,plain,
% 13.04/13.25 (m_state_v_a1ext(c_s, s6, c_retracted)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[6313, 4926, 21437])).
% 13.04/13.25 tff(21439,plain,
% 13.04/13.25 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s6, c_retract) | (~node150(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s6, c_retract) | (~node150(c_s, s6)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21440,plain,
% 13.04/13.25 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s6, c_retract) | (~node150(c_s, s6)))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21441,plain,
% 13.04/13.25 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s6, c_retract) | (~node150(c_s, s6))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21440, 21439])).
% 13.04/13.25 tff(21442,plain,
% 13.04/13.25 (m_state_v_A1M(c_s, s6, c_retract)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21441, 1359, 21437])).
% 13.04/13.25 tff(21443,plain,
% 13.04/13.25 ($false),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21046, 21442, 21438, 21187, 5176])).
% 13.04/13.25 tff(21444,plain,((~node150(c_s, s6)) | m_state_v_RRM(c_s, s7, c_counterclock) | (~m_state_v_angle(c_s, s6, c_arm1totable))), inference(lemma,lemma(discharge,[]))).
% 13.04/13.25 tff(21445,plain,
% 13.04/13.25 ((~node150(c_s, s6)) | m_state_v_RRM(c_s, s7, c_counterclock)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21444, 4818])).
% 13.04/13.25 tff(21446,plain,
% 13.04/13.25 (~node150(c_s, s6)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21445, 21029])).
% 13.04/13.25 tff(21447,plain,
% 13.04/13.25 (node158(c_s, s6, s7)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[6306, 21446])).
% 13.04/13.25 tff(21448,plain,
% 13.04/13.25 (m_state_v_RRM(c_s, s7, c_idle)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[5535, 21447])).
% 13.04/13.25 tff(21449,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21450,plain,
% 13.04/13.25 (((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21451,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8))))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21450])).
% 13.04/13.25 tff(21452,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21451, 21449])).
% 13.04/13.25 tff(21453,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))),
% 13.04/13.25 inference(quant_inst,[status(thm)],[])).
% 13.04/13.25 tff(21454,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)) | (~node48(c_s, s7, s8))),
% 13.04/13.25 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 13.04/13.25 tff(21455,plain,
% 13.04/13.25 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle))),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21454, 3792, 5471])).
% 13.04/13.25 tff(21456,plain,
% 13.04/13.25 (m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle))),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21455, 5186])).
% 13.04/13.25 tff(21457,plain,
% 13.04/13.25 (m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)),
% 13.04/13.25 inference(unit_resolution,[status(thm)],[21456, 21448])).
% 13.04/13.25 tff(21458,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21459,plain,
% 13.04/13.25 (((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock)) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8)))),
% 13.04/13.25 inference(rewrite,[status(thm)],[])).
% 13.04/13.25 tff(21460,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8))))),
% 13.04/13.25 inference(monotonicity,[status(thm)],[21459])).
% 13.04/13.25 tff(21461,plain,
% 13.04/13.25 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8)))),
% 13.04/13.25 inference(transitivity,[status(thm)],[21460, 21458])).
% 13.04/13.25 tff(21462,plain,
% 13.04/13.25 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21463,plain,
% 13.04/13.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~node159(c_s, s7, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 13.04/13.26 tff(21464,plain,
% 13.04/13.26 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21463, 21039, 10330])).
% 13.04/13.26 tff(21465,plain,
% 13.04/13.26 ((~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21464, 9385, 5186])).
% 13.04/13.26 tff(21466,plain,
% 13.04/13.26 (m_state_v_RRM(c_s, s8, c_counterclock)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21465, 21222])).
% 13.04/13.26 tff(21467,plain,
% 13.04/13.26 (~node37(c_s, s7)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[5320, 265, 21029])).
% 13.04/13.26 tff(21468,plain,
% 13.04/13.26 (node41(c_s, s7, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[5316, 21467])).
% 13.04/13.26 tff(21469,plain,
% 13.04/13.26 (m_state_v_angle(c_s, s8, c_arm1totable)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[5197, 21468])).
% 13.04/13.26 tff(21470,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21471,plain,
% 13.04/13.26 (((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock))) <=> (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21472,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock))))),
% 13.04/13.26 inference(monotonicity,[status(thm)],[21471])).
% 13.04/13.26 tff(21473,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))),
% 13.04/13.26 inference(transitivity,[status(thm)],[21472, 21470])).
% 13.04/13.26 tff(21474,plain,
% 13.04/13.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21475,plain,
% 13.04/13.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~node42(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 13.04/13.26 tff(21476,plain,
% 13.04/13.26 (m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock))),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21475, 3809, 5512])).
% 13.04/13.26 tff(21477,plain,
% 13.04/13.26 (m_state_v_angle(c_s, s9, c_arm2topress)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21476, 21469, 21466, 21457])).
% 13.04/13.26 tff(21478,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21479,plain,
% 13.04/13.26 (((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21480,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress))))),
% 13.04/13.26 inference(monotonicity,[status(thm)],[21479])).
% 13.04/13.26 tff(21481,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 13.04/13.26 inference(transitivity,[status(thm)],[21480, 21478])).
% 13.04/13.26 tff(21482,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21483,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 13.04/13.26 tff(21484,plain,
% 13.04/13.26 (~m_state_v_angle(c_s, s9, c_arm1topress)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21483, 4563, 21477])).
% 13.04/13.26 tff(21485,plain,
% 13.04/13.26 (~node30(c_s, s9)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[9303, 864, 21484])).
% 13.04/13.26 tff(21486,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21487,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21488,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 13.04/13.26 tff(21489,plain,
% 13.04/13.26 (~m_state_v_A1M(c_s, s8, c_extend)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21488, 875, 21334])).
% 13.04/13.26 tff(21490,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21491,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21492,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 13.04/13.26 tff(21493,plain,
% 13.04/13.26 (~node29(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21492, 887, 21489])).
% 13.04/13.26 tff(21494,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21495,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21496,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 13.04/13.26 tff(21497,plain,
% 13.04/13.26 (~node30(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21496, 2863, 21489])).
% 13.04/13.26 tff(21498,plain,
% 13.04/13.26 (node31(c_s, s8, s9)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[9592, 21497, 21341, 21493])).
% 13.04/13.26 tff(21499,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_retract)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21500,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_retract)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21501,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | (~m_state_v_A1M(c_s, s7, c_retract))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 13.04/13.26 tff(21502,plain,
% 13.04/13.26 (~m_state_v_A1M(c_s, s7, c_extend)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21501, 2804, 21222])).
% 13.04/13.26 tff(21503,plain,
% 13.04/13.26 (~node29(c_s, s7)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[9600, 887, 21502])).
% 13.04/13.26 tff(21504,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21505,plain,
% 13.04/13.26 (((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted)) <=> (node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21506,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8))))),
% 13.04/13.26 inference(monotonicity,[status(thm)],[21505])).
% 13.04/13.26 tff(21507,plain,
% 13.04/13.26 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8)))),
% 13.04/13.26 inference(transitivity,[status(thm)],[21506, 21504])).
% 13.04/13.26 tff(21508,plain,
% 13.04/13.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21509,plain,
% 13.04/13.26 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted) | (~node32(c_s, s7, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 13.04/13.26 tff(21510,plain,
% 13.04/13.26 (node30(c_s, s7) | node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21509, 9365, 9609])).
% 13.04/13.26 tff(21511,plain,
% 13.04/13.26 (node29(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21510, 9605])).
% 13.04/13.26 tff(21512,plain,
% 13.04/13.26 (m_state_v_a1ext(c_s, s8, c_retracted)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21511, 21503, 21222])).
% 13.04/13.26 tff(21513,plain,
% 13.04/13.26 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21514,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21515,plain,
% 13.04/13.26 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21514, 21513])).
% 13.04/13.26 tff(21516,plain,
% 13.04/13.26 (~m_state_v_a1ext(c_s, s8, c_ot)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21515, 966, 21512])).
% 13.04/13.26 tff(21517,plain,
% 13.04/13.26 (~m_state_v_a1ext(c_s, s9, c_ot)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[9631, 941, 21516, 21498])).
% 13.04/13.26 tff(21518,plain,
% 13.04/13.26 (~node31(c_s, s9, s5)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[9639, 21517])).
% 13.04/13.26 tff(21519,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21520,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21521,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 13.04/13.26 tff(21522,plain,
% 13.04/13.26 (~node124(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21521, 1509, 21489])).
% 13.04/13.26 tff(21523,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21524,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21525,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 13.04/13.26 tff(21526,plain,
% 13.04/13.26 (~node125(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21525, 5750, 21489])).
% 13.04/13.26 tff(21527,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21528,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21529,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 13.04/13.26 tff(21530,plain,
% 13.04/13.26 (~node128(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21529, 1495, 21341])).
% 13.04/13.26 tff(21531,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21532,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21533,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8))),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 13.04/13.26 tff(21534,plain,
% 13.04/13.26 (~node129(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21533, 2619, 21341])).
% 13.04/13.26 tff(21535,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | ((~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21536,plain,
% 13.04/13.26 ((m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8))) <=> ((~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21537,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | ((~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot)))),
% 13.04/13.26 inference(monotonicity,[status(thm)],[21536])).
% 13.04/13.26 tff(21538,plain,
% 13.04/13.26 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot))),
% 13.04/13.26 inference(transitivity,[status(thm)],[21537, 21535])).
% 13.04/13.26 tff(21539,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))),
% 13.04/13.26 inference(quant_inst,[status(thm)],[])).
% 13.04/13.26 tff(21540,plain,
% 13.04/13.26 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (~node126(c_s, s8)) | m_state_v_a1ext(c_s, s8, c_ot)),
% 13.04/13.26 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 13.04/13.26 tff(21541,plain,
% 13.04/13.26 (~node126(c_s, s8)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21540, 1742, 21516])).
% 13.04/13.26 tff(21542,plain,
% 13.04/13.26 (node130(c_s, s8, s9)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[10176, 21541, 21534, 21530, 21526, 21522])).
% 13.04/13.26 tff(21543,plain,
% 13.04/13.26 (~m_state_v_A1M(c_s, s9, c_retract)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[10183, 1619, 21341, 21542])).
% 13.04/13.26 tff(21544,plain,
% 13.04/13.26 (~node32(c_s, s9, s5)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[10190, 904, 21543, 21518, 9315, 21485])).
% 13.04/13.26 tff(21545,plain,
% 13.04/13.26 (~trans(s9, s5)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[10197, 28, 825, 21544])).
% 13.04/13.26 tff(21546,plain,
% 13.04/13.26 (trans(s9, s6)),
% 13.04/13.26 inference(unit_resolution,[status(thm)],[21026, 21545, 21436, 21434, 21432, 21430, 21379])).
% 13.04/13.26 tff(21547,plain,
% 13.04/13.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21548,plain,
% 13.04/13.26 (((~trans(s9, s6)) | node169(c_s, s9, s6) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6))),
% 13.04/13.26 inference(rewrite,[status(thm)],[])).
% 13.04/13.26 tff(21549,plain,
% 13.04/13.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s6)) | node169(c_s, s9, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6)))),
% 13.15/13.31 inference(monotonicity,[status(thm)],[21548])).
% 13.15/13.31 tff(21550,plain,
% 13.15/13.31 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s6)) | node169(c_s, s9, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6))),
% 13.15/13.31 inference(transitivity,[status(thm)],[21549, 21547])).
% 13.15/13.31 tff(21551,plain,
% 13.15/13.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s9, s6)) | node169(c_s, s9, s6) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 13.15/13.31 inference(quant_inst,[status(thm)],[])).
% 13.15/13.31 tff(21552,plain,
% 13.15/13.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~m_ERTable_v_s(c_ERT, c_s)) | (~trans(s9, s6)) | node169(c_s, s9, s6)),
% 13.15/13.31 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 13.15/13.31 tff(21553,plain,
% 13.15/13.31 ($false),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21552, 21546, 2435, 2432, 21356])).
% 13.15/13.31 tff(21554,plain,(m_state_v_angle(c_s, s9, c_arm1totable)), inference(lemma,lemma(discharge,[]))).
% 13.15/13.31 tff(21555,plain,
% 13.15/13.31 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 13.15/13.31 inference(rewrite,[status(thm)],[])).
% 13.15/13.31 tff(21556,plain,
% 13.15/13.31 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 13.15/13.31 inference(quant_inst,[status(thm)],[])).
% 13.15/13.31 tff(21557,plain,
% 13.15/13.31 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress))),
% 13.15/13.31 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 13.15/13.31 tff(21558,plain,
% 13.15/13.31 (~m_state_v_angle(c_s, s9, c_arm2topress)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21557, 72, 21554])).
% 13.15/13.31 tff(21559,plain,
% 13.15/13.31 ($false),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[10675, 1443, 5330, 21558, 5520])).
% 13.15/13.31 tff(21560,plain,(m_state_v_angle(c_s, s8, c_arm1totable)), inference(lemma,lemma(discharge,[]))).
% 13.15/13.31 tff(21561,plain,
% 13.15/13.31 (~m_state_v_angle(c_s, s8, c_arm2topress)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[8835, 72, 21560])).
% 13.15/13.31 tff(21562,plain,
% 13.15/13.31 (~m_state_v_RRM(c_s, s7, c_counterclock)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[5329, 21561])).
% 13.15/13.31 tff(21563,plain,
% 13.15/13.31 (~node150(c_s, s6)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21445, 21562])).
% 13.15/13.31 tff(21564,plain,
% 13.15/13.31 (node158(c_s, s6, s7)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[6306, 21563])).
% 13.15/13.31 tff(21565,plain,
% 13.15/13.31 (m_state_v_RRM(c_s, s7, c_idle)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[5535, 21564])).
% 13.15/13.31 tff(21566,plain,
% 13.15/13.31 (m_state_v_A1M(c_s, s7, c_retract)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21221, 21562])).
% 13.15/13.31 tff(21567,plain,
% 13.15/13.31 (m_state_v_RRM(c_s, s8, c_counterclock)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21465, 21566])).
% 13.15/13.31 tff(21568,plain,
% 13.15/13.31 (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21476, 21567, 21558, 21560])).
% 13.15/13.31 tff(21569,plain,
% 13.15/13.31 ($false),
% 13.15/13.31 inference(unit_resolution,[status(thm)],[21456, 21568, 21565])).
% 13.15/13.31 % SZS output end Proof
% 13.15/13.32 % E exiting
%------------------------------------------------------------------------------